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;; (find-sh "cd ~/books/ && find * | sort") ;; (find-sh "cd ~/books/__alg/ && find * | sort") ;; «.aluffi» (to "aluffi") ;; «.atiyahmacdonald» (to "atiyahmacdonald") ;; «.bourbaki» (to "bourbaki") ;; «.cohn» (to "cohn") ;; «.conway» (to "conway") ;; «.conway-rafm» (to "conway-rafm") ;; «.davey-priestley» (to "davey-priestley") ;; «.dold» (to "dold") ;; «.edwards» (to "edwards") ;; «.eisenbud» (to "eisenbud") ;; «.eisenbudharris» (to "eisenbudharris") ;; «.gelfandmanin» (to "gelfandmanin") ;; «.gelfandshen» (to "gelfandshen") ;; «.gratzer» (to "gratzer") ;; «.griffiths-harris» (to "griffiths-harris") ;; «.hartshorne» (to "hartshorne") ;; «.howie» (to "howie") ;; «.jacobson» (to "jacobson") ;; «.kaplansky» (to "kaplansky") ;; «.kendig» (to "kendig") ;; «.kitaoka» (to "kitaoka") ;; «.lang» (to "lang") ;; «.levin» (to "levin") ;; «.lidl» (to "lidl") ;; «.liu» (to "liu") ;; «.miranda» (to "miranda") ;; «.morandi» (to "morandi") ;; «.mumford» (to "mumford") ;; «.nestruev» (to "nestruev") ;; «.reid» (to "reid") ;; «.rhodes» (to "rhodes") ;; «.ritt» (to "ritt") ;; «.schinzel» (to "schinzel") ;; «.stewart» (to "stewart") ;; «.stillwell» (to "stillwell") ;; «.strang» (to "strang") ;; «.ueno» (to "ueno") ;; «.vermani» (to "vermani") ;; «.waterhouse» (to "waterhouse") ;; «.weibel» (to "weibel") ;; «aluffi» (to ".aluffi") ;; (find-books "__alg/__alg.el" "aluffi") ;; https://www.math.fsu.edu/~aluffi/ (code-pdf-page "aluffi" "~/books/__alg/aluffi__algebra_chapter_0.pdf") (code-pdf-text "aluffi" "~/books/__alg/aluffi__algebra_chapter_0.pdf" 1) ;; (find-aluffipage 6 "Contents") ;; (find-aluffipage (+ 23 1) "Index") ;; (find-aluffipage (+ 23 699) "Index") ;; (find-aluffitext "") ;; «atiyahmacdonald» (to ".atiyahmacdonald") ;; http://gigapedia.org/items/5817/introduction-to-commutative-algebra (code-djvu "atiyahmacdonald" "~/books/__alg/atiyah_macdonald__introduction_to_commutative_algebra_bad.djvu") (code-djvutotext "atiyahmacdonald" "~/books/__alg/atiyah_macdonald__introduction_to_commutative_algebra_bad.djvu") (code-djvu "atiyahmacdonald" "~/books/__alg/atiyah_macdonald__introduction_to_commutative_algebra.djvu") (code-djvutotext "atiyahmacdonald" "~/books/__alg/atiyah_macdonald__introduction_to_commutative_algebra.djvu") ;; (find-atiyahmacdonaldpage 4 "Contents") ;; (find-atiyahmacdonaldpage (+ 9 23) "(snake lemma)") ;; (find-atiyahmacdonaldpage (+ 9 127) "Index") ;; (find-atiyahmacdonaldtext "") ;; «bourbaki» (to ".bourbaki") ;; http://gigapedia.org/items/111932/elements-of-mathematics---commutative-algebra (?) (code-xpdf "bourbakica" "~/books/__alg/bourbaki__commutative_algebra.pdf") (code-pdftotext "bourbakica" "~/books/__alg/bourbaki__commutative_algebra.pdf") ;; (find-bourbakicapage 4 "Contents") ;; (find-bourbakicapage (+/2 24 611) "Index of terminology") ;; (find-bourbakicatext "") ;; «cohn» (to ".cohn") ;; P.M.Cohn: "Algebra" (3 vols) (code-djvu "cohn1" "~/books/__alg/cohn__algebra_vol_1.djvu") (code-djvutotext "cohn1" "~/books/__alg/cohn__algebra_vol_1.djvu") ;; (find-cohn1page 7 "Contents") ;; (find-cohn1page (+ 10 136) "6. Rings and Fields") ;; (find-cohn1page (+ 10 139) "A non-trivial ring with no zero-divisors is said to be entire") ;; (find-cohn1page (+ 10 139) "integral domain") ;; (find-cohn1page (+ 10 140) "6.2. The field of fractions on an integral domain") ;; (find-cohn1page (+ 10 144) "any integral domain can be embedded in a field") ;; (find-cohn1page (+ 10 144) "every finite integral domain is a field") ;; (find-cohn1page (+ 10 145) "6.3. The characteristic") ;; (find-cohn1page (+ 10 148) "R[x]") ;; (find-cohn1page (+ 10 149) "If R is an entire ring, then so is the polynomial ring R[x]") ;; (find-cohn1page (+ 10 151) "polynomial" "homogeneous" "form") ;; (find-cohn1page (+ 10 154) "unique factorization domain") ;; (find-cohn1page (+ 10 155) "in a UFD any two elements have an HCF") ;; (find-cohn1page (+ 10 158) "an integral domain is a UFD if and only if") ;; (find-cohn1page (+ 10 159) "every euclidean ring is a UFD") ;; (find-cohn1page (+ 10 159) "for any field F, the polynomial ring F[x] is a UFD") ;; (find-cohn1page (+ 10 163) "dense subset of F^n") ;; (find-cohn1page (+ 10 164) "The factorization of polynomials") ;; (find-cohn1page (+ 10 255) "9.2. The Jordan-Hölder Theorem") ;; (find-cohn1page (+ 10 287) "9.8. The Sylow theorems") ;; (find-cohn1page (+ 9 403) "Index") ;; (find-cohn1text "") (code-djvu "cohn2" "~/books/__alg/cohn__algebra_vol_2.djvu") (code-djvutotext "cohn2" "~/books/__alg/cohn__algebra_vol_2.djvu") ;; (find-cohn2page 3 "Contents") ;; (find-cohn2page (+ 11 62) "3. Field Theory") ;; (find-cohn2page (+ 11 69) "there exists an extension E/k in which f has a zero") ;; (find-cohn2page (+ 11 71) "minimal splitting field") ;; (find-cohn2page (+ 11 72) "A field extension E/k is said to be normal") ;; (find-cohn2page (+ 11 72) "x^3-2 has a zero in Q(aa) without splitting completely") ;; (find-cohn2page (+ 11 72) "normality is a property of extensions, not of fields") ;; (find-cohn2page (+ 11 72) "A finite extension E/k is normal if and only if") ;; (find-cohn2page (+ 11 73) "the conjugates of a given" "element are permuted transitively") ;; (find-cohn2page (+ 11 74) "3.3 The algebraic closure of a field") ;; (find-cohn2page (+ 11 74) "an extension E/k is normal iff") ;; (find-cohn2page (+ 11 81) "any set of distinct homomorphisms is linearly independent") ;; (find-cohn2page (+ 11 81) "3.5 The fundamental theorem of Galois Theory") ;; (find-cohn2page (+ 11 86) "E/F is a Galois extension iff") ;; (find-cohn2page (+ 11 421) "Index") (code-djvu "cohn3" "~/books/__alg/cohn__algebra_vol_3.djvu") ;; (find-cohn3page 3 "Contents") ;; (find-cohn3page (+ 9 84) "AB5 axiom") ;; (find-cohn3page (+ 9 168) "5. Further field theory") ;; (find-cohn3page (+ 9 197) "any two algebraic closures of k are isomorphic") ;; (find-cohn3page (+ 9 197) "Galois extension") ;; (find-cohn3page (+ 9 198) "For any algebraic extension K/k,") ;; (find-cohn3page (+ 9 199) "fundamental theorem" "for algebraic Galois extensions") ;; (find-cohn3page (+ 9 468) "Index") ;; (find-cohn2text "") ;; Richard M. Cohn: "Difference Algebra" (code-djvu "cohndiff" "~/books/__alg/cohn__difference_algebra.djvu") (code-djvutotext "cohndiff" "~/books/__alg/cohn__difference_algebra.djvu") ;; (find-cohndiffpage 11 "Contents") ;; (find-cohndiffpage (+ 12 349) "Index") ;; (find-cohndifftext "") ;; «conway» (to ".conway") ;; (find-books "__alg/__alg.el" "conway") ;; ;; «conway-rafm» (to ".conway-rafm") ;; (find-books "__alg/__alg.el" "conway-rafm") ;; See: (find-books "__comp/__comp.el" "rutten") (code-pdf-page "conwayrafm" "~/books/__alg/conway__regular_algebra_and_finite_machines.pdf") (code-pdf-text "conwayrafm" "~/books/__alg/conway__regular_algebra_and_finite_machines.pdf" 1) ;; (find-conwayrafmpage) ;; (find-conwayrafmpage 3 "Contents") ;; (find-conwayrafmpage (+ 1 189) "Index") ;; (find-conwayrafmtext "") ;; «davey-priestley» (to ".davey-priestley") ;; (find-books "__alg/__alg.el" "davey-priestley") ;; (find-LATEX "catsem.bib" "bib-DaveyPriestley") (code-pdf-page "daveypriestley" "~/books/__alg/davey_priestley__introduction_to_lattices_and_order.pdf") (code-pdf-text "daveypriestley" "~/books/__alg/davey_priestley__introduction_to_lattices_and_order.pdf" 14) ;; (find-daveypriestleypage) ;; (find-daveypriestleypage 7 "Contents") ;; (find-daveypriestleytext 7 "Contents") ;; (find-daveypriestleypage (+ 14 1) "1. Ordered sets") ;; (find-daveypriestleypage (+ 14 1) "Ordered sets") ;; (find-daveypriestleypage (+ 14 5) "Examples from social science and computer science") ;; (find-daveypriestleypage (+ 14 10) "Diagrams: the art of drawing ordered sets") ;; (find-daveypriestleypage (+ 14 14) "Constructing and de-constructing ordered sets") ;; (find-daveypriestleypage (+ 14 20) "Down-sets and up-sets") ;; (find-daveypriestleypage (+ 14 20) "1.28 The ordered set O(P ) of down-sets") ;; (find-daveypriestleytext (+ 14 20) "1.28 The ordered set O(P ) of down-sets") ;; (find-daveypriestleypage (+ 14 23) "Maps between ordered sets") ;; (find-daveypriestleypage (+ 14 25) "Exercises") ;; (find-daveypriestleypage (+ 14 33) "2. Lattices and complete lattices") ;; (find-daveypriestleypage (+ 14 33) "Lattices as ordered sets") ;; (find-daveypriestleypage (+ 14 39) "Lattices as algebraic structures") ;; (find-daveypriestleypage (+ 14 41) "Sublattices, products and homomorphisms") ;; (find-daveypriestleypage (+ 14 44) "Ideals and filters") ;; (find-daveypriestleypage (+ 14 46) "Complete lattices and \\cup-structures") ;; (find-daveypriestleypage (+ 14 50) "Chain conditions and completeness") ;; (find-daveypriestleypage (+ 14 53) "Join-irreducible elements") ;; (find-daveypriestleypage (+ 14 54) "Figure 2.10") ;; (find-daveypriestleytext (+ 14 54) "Figure 2.10") ;; (find-daveypriestleypage (+ 14 56) "Exercises") ;; (find-daveypriestleypage (+ 14 65) "3. Formal concept analysis") ;; (find-daveypriestleypage (+ 14 65) "Contexts and their concepts") ;; (find-daveypriestleypage (+ 14 70) "The fundamental theorem of concept lattices") ;; (find-daveypriestleypage (+ 14 74) "From theory to practice") ;; (find-daveypriestleypage (+ 14 79) "Exercises") ;; (find-daveypriestleypage (+ 14 85) "4. Modular, distributive and Boolean lattices") ;; (find-daveypriestleypage (+ 14 85) "Lattices satisfying additional identities") ;; (find-daveypriestleypage (+ 14 88) "The M3-N5 Theorem") ;; (find-daveypriestleypage (+ 14 93) "Boolean lattices and Boolean algebras") ;; (find-daveypriestleypage (+ 14 96) "Boolean terms and disjunctive normal form") ;; (find-daveypriestleypage (+ 14 104) "Exercises") ;; (find-daveypriestleypage (+ 14 112) "5. Representation: the finite case") ;; (find-daveypriestleypage (+ 14 112) "Building blocks for lattices") ;; (find-daveypriestleypage (+ 14 114) "Finite Boolean algebras are powerset algebras") ;; (find-daveypriestleypage (+ 14 116) "Finite distributive lattices are down-set lattices") ;; (find-daveypriestleypage (+ 14 119) "Finite distributive lattices and finite ordered sets in partnership") ;; (find-daveypriestleypage (+ 14 124) "Exercises") ;; (find-daveypriestleypage (+ 14 130) "6. Congruences") ;; (find-daveypriestleypage (+ 14 130) "Introducing congruences") ;; (find-daveypriestleypage (+ 14 134) "Congruences and diagrams") ;; (find-daveypriestleypage (+ 14 137) "The lattice of congruences of a lattice") ;; (find-daveypriestleypage (+ 14 140) "Exercises") ;; (find-daveypriestleypage (+ 14 145) "7. Complete lattices and Galois connections") ;; (find-daveypriestleypage (+ 14 145) "Closure operators") ;; (find-daveypriestleypage (+ 14 148) "Complete lattices coming from algebra: algebraic lattices") ;; (find-daveypriestleypage (+ 14 155) "Galois connections") ;; (find-daveypriestleypage (+ 14 165) "Completions") ;; (find-daveypriestleypage (+ 14 169) "Exercises") ;; (find-daveypriestleypage (+ 14 175) "8. CPOs and fixpoint theorems") ;; (find-daveypriestleypage (+ 14 175) "CPOs") ;; (find-daveypriestleypage (+ 14 180) "CPOs of partial maps") ;; (find-daveypriestleypage (+ 14 182) "Fixpoint theorems") ;; (find-daveypriestleypage (+ 14 189) "Calculating with fixpoints") ;; (find-daveypriestleypage (+ 14 193) "Exercises") ;; (find-daveypriestleypage (+ 14 201) "9. Domains and information systems") ;; (find-daveypriestleypage (+ 14 201) "Domains for computing") ;; (find-daveypriestleypage (+ 14 204) "Domains re-modelled: information systems") ;; (find-daveypriestleypage (+ 14 221) "Using fixpoint theorems to solve domain equations") ;; (find-daveypriestleypage (+ 14 223) "Exercises") ;; (find-daveypriestleypage (+ 14 228) "10. Maximality principles") ;; (find-daveypriestleypage (+ 14 228) "Do maximal elements exist? Zorn's Lemma and the Axiom of Choice") ;; (find-daveypriestleypage (+ 14 232) "Prime and maximal ideals") ;; (find-daveypriestleypage (+ 14 237) "Powerset algebras and down-set lattices revisited") ;; (find-daveypriestleypage (+ 14 244) "Exercises") ;; (find-daveypriestleypage (+ 14 247) "11. Representation: the general case") ;; (find-daveypriestleypage (+ 14 247) "Stone's representation theorem for Boolean algebras") ;; (find-daveypriestleypage (+ 14 252) "Meet LINDA: the Lindenbaum algebra") ;; (find-daveypriestleypage (+ 14 256) "Priestley's representation theorem for distributive lattices") ;; (find-daveypriestleypage (+ 14 261) "Distributive lattices and Priestley spaces in partnership") ;; (find-daveypriestleypage (+ 14 267) "Exercises") ;; (find-daveypriestleypage (+ 14 275) "Appendix A: a topological toolkit") ;; (find-daveypriestleypage (+ 14 280) "Appendix B: further reading") ;; (find-daveypriestleypage (+ 14 286) "Notation index") ;; (find-daveypriestleypage (+ 14 289) "Index") ;; (find-daveypriestleypage (+ 14 53) "Join-irreducible elements") ;; (find-daveypriestleypage (+ 14 85) "4. Modular, Distributive and Boolean Lattices") ;; (find-daveypriestleypage (+ 14 87) "N_5 (the pentagon)") ;; (find-daveypriestleypage (+ 14 116) "Finite distributive lattices are down-set lattices") ;; (find-daveypriestleypage (+ 14 118) "5.12 Birkhoff's representation theorem.") ;; (find-daveypriestleytext (+ 14 118) "5.12 Birkhoff's representation theorem.") ;; (find-daveypriestleypage (+ 14 130) "6. Congruences") ;; (find-daveypriestleypage (+ 14 137) "The lattice of congruences of a lattice") ;; (find-daveypriestleypage (+ 14 138) "6.16. Principal Congruences") ;; (find-daveypriestleypage (+ 14 145) "7. Complete Lattices and Galois Connections") ;; (find-daveypriestleypage (+ 14 145) "7.1. Closure operators") ;; (find-daveypriestleypage (+ 14 160) "7.27. From a Galois connection to a closure operator") ;; (find-daveypriestleypage (+ 14 286) "Index") ;; (find-daveypriestleypage (+ 14 289) "Index") ;; (find-daveypriestleypage (+ 14 289) "Index" "antichain") ;; (find-daveypriestleypage (+ 14 3) "antichain" "1.3 Chains and antichains") ;; (find-daveypriestleypage (+ 14 21) "antichain") ;; (find-daveypriestleypage (+ 14 27) "antichain") ;; (find-daveypriestleypage (+ 14 32) "antichain" "1.30" "The width of P") ;; (find-daveypriestleypage (+ 14 122) "antichain") ;; (find-daveypriestleypage (+ 14 149) "antichain") ;; (find-daveypriestleypage (+ 14 169) "antichain" "Dedekind-Macneille") ;; (find-daveypriestleytext "") ;; «dold» (to ".dold") ;; http://gigapedia.com/items/14533/lectures-on-algebraic-topology--classics-in-mathematics- (code-djvu "doldlat" "~/books/__alg/dold__lectures_on_algebraic_topology.djvu") (code-djvutotext "doldlat" "~/books/__alg/dold__lectures_on_algebraic_topology.djvu") ;; (find-doldlatpage 4 "Contents") ;; (find-doldlatpage (+ 6 371) "Index") ;; (find-doldlattext "") ;; «edwards» (to ".edwards") ;; http://gigapedia.com/items/63676/galois-theory--graduate-texts-in-mathematics- ;; http://gigapedia.com/items/76181/essays-in-constructive-mathematics (code-djvu "edwards" "~/books/__alg/edwards__galois_theory.djvu") (code-djvutotext "edwards" "~/books/__alg/edwards__galois_theory.djvu") ;; (find-edwardspage 7 "Contents") ;; (find-edwardspage (+ 10 101) "Appendix 1" "Memoir" "by Evariste Galois") ;; (find-edwardspage (+ 10 151) "Index") ;; (find-edwardstext "") ;; «eisenbud» (to ".eisenbud") ;; http://gigapedia.com/items/29350/commutative-algebra--with-a-view-toward-algebraic-geometry--graduate-texts-in-mathematics- (code-djvu "eisenbud" "~/books/__alg/eisenbud__commutative_algebra_with_a_view_toward_algebraic_geometry.djvu") (code-djvutotext "eisenbud" "~/books/__alg/eisenbud__commutative_algebra_with_a_view_toward_algebraic_geometry.djvu") ;; (find-eisenbudpage 3 "Contents") ;; (find-eisenbudpage (+ 10 1) "Index") ;; (find-eisenbudpage (+ 10 33) "nilpotent") ;; (find-eisenbudpage (+ 10 36) "nilpotent") ;; (find-eisenbudpage (+ 10 71) "nilpotent") ;; (find-eisenbudpage (+ -7 767) "Index") ;; (find-eisenbudtext "") ;; «eisenbudharris» (to ".eisenbudharris") ;; http://gigapedia.org/items/17786/the-geometry-of-schemes--graduate-texts-in-mathematics- (code-xpdf "eisenbudharris" "~/books/__alg/eisenbud_harris__the_geometry_of_schemes.pdf") (code-pdftotext "eisenbudharris" "~/books/__alg/eisenbud_harris__the_geometry_of_schemes.pdf") ;; (find-eisenbudharrispage 7 "Contents") ;; (find-eisenbudharrispage (+ 9 10) "V (S)") ;; (find-eisenbudharristext "V (S)") ;; (find-eisenbudharrispage (+ 5 251) "VI. Schemes and Functors") ;; (find-eisenbudharrispage (+ 3 285) "Index") ;; (find-eisenbudharristext) ;; «gelfandmanin» (to ".gelfandmanin") ;; http://gigapedia.org/items/23595/methods-of-homological-algebra--1st-edition--1996-01 (code-djvu "gelfandmanin" "~/books/__alg/gelfand_manin__methods_of_homological_algebra.djvu") (code-djvutotext "gelfandmanin" "~/books/__alg/gelfand_manin__methods_of_homological_algebra.djvu") ;; (find-gelfandmaninpage 12 "Contents") ;; (find-gelfandmaninpage (+ 14 369) "Index") ;; (find-gelfandmanintext "") ;; «gelfandshen» (to ".gelfandshen") ;; http://gigapedia.com/items/413320/algebra (code-xpdf "gelfandshen" "~/books/__alg/gelfand_shen__algebra.pdf") (code-pdftotext "gelfandshen" "~/books/__alg/gelfand_shen__algebra.pdf") ;; (find-gelfandshenpage 3 "Contents") ;; (find-gelfandshenpage (+ 5 1) "1. Introduction") ;; (find-gelfandshentext "") ;; «gratzer» (to ".gratzer") ;; (find-LATEX "catsem.bib" "bib-Gratzer") ;; http://server.math.umanitoba.ca/homepages/gratzer/ ;; http://server.math.umanitoba.ca/homepages/gratzer/lectures/melbourne/melbournelectures.html ;; http://www.amazon.com/Congruences-Finite-Lattice-Proof-Picture/dp/0817632247/ ;; (find-angg "LUA/distributivity.lua") (code-xpdf "gratzer" "~/books/__alg/gratzer__lattice_theory_foundation.pdf") (code-pdftotext "gratzer" "~/books/__alg/gratzer__lattice_theory_foundation.pdf" 31) ;; (find-gratzerpage 1 "Contents") ;; (find-gratzerpage 8 "Short Contents") ;; (find-gratzerpage 10 "Contents") ;; (find-gratzerpage 24 "Glossary of Notation") ;; (find-gratzerpage (+ 31 5) "1.4 Ordering and covers") ;; (find-gratzertext (+ 31 5) "Ordering and covers") ;; (find-gratzerpage (+ 31 7) "1.6 Order constructions") ;; (find-gratzertext (+ 31 7) "Order constructions") ;; (find-gratzerpage (+ 31 7) "down-set") ;; (find-gratzertext (+ 31 7) "down-set") ;; (find-gratzerpage (+ 31 11) "1.9 Algebras") ;; (find-gratzerpage (+ 31 21) "2.1 Lattice Diagrams") ;; (find-gratzerpage (+ 31 23) "The most general lattice generated by") ;; (find-gratzerpage (+ 31 28) "3.1 The Concept of Isomorphism") ;; (find-gratzerpage (+ 31 30) "3.2 Homomorphisms") ;; (find-gratzerpage (+ 31 31) "3.4 Ideals") ;; (find-gratzerpage (+ 31 35) "3.5 Intervals") ;; (find-gratzerpage (+ 31 47) "3.12 Closure Systems") ;; (find-gratzerpage (+ 31 97) "6. Special Elements") ;; (find-gratzertext (+ 31 97) "Special Elements") ;; (find-gratzerpage (+ 31 102) "join-irreducible") ;; (find-gratzertext (+ 31 102) "join-irreducible") ;; (find-gratzerpage (+ 31 109) "II. Distributive Lattices") ;; (find-gratzerpage (+ 31 166) "5 Topological Representation") ;; (find-gratzertext (+ 31 166) "Topological Representation") ;; (find-gratzerpage (+ 31 166) "Heyting Algebras") ;; (find-gratzerpage (+ 31 183) "Heyting Algebras") ;; (find-gratzerpage (+ 31 533) "Afterword") ;; (find-gratzerpage (+ 31 589) "Index") ;; (find-gratzerpage (+ 31 598) "Index" "Heyting algebra") ;; (find-gratzerpage (+ 31 606) "Index" "Planar") ;; (find-gratzertext "") ;; «griffiths-harris» (to ".griffiths-harris") ;; http://gigapedia.com/items/50790/principles-of-algebraic-geometry--pure-and-applied-mathematics- (code-djvu "grifharris" "~/books/__alg/griffiths_harris__principles_of_algebraic_geometry.djvu") (code-djvutotext "grifharris" "~/books/__alg/griffiths_harris__principles_of_algebraic_geometry.djvu") ;; (find-grifharrispage 7 "Contents") ;; (find-grifharrispage (+ 14 106) "Kahler Manifolds") ;; (find-grifharrispage (+ 14 805) "Index") ;; (find-grifharristext "") ;; «hartshorne» (to ".hartshorne") ;; http://gigapedia.org/items/29473/algebraic-geometry--graduate-texts-in-mathematics- (code-djvu "hartshorne" "~/books/__alg/hartshorne__algebraic_geometry.djvu") (code-djvutotext "hartshorne" "~/books/__alg/hartshorne__algebraic_geometry.djvu") ;; (find-hartshornepage 11 "Contents") ;; (find-hartshornepage (+ 18 478) "Index") ;; (find-hartshornetext "") ;; «howie» (to ".howie") ;; http://gigapedia.com/items/51219/fields-and-galois-theory--springer-undergraduate-mathematics-series- (code-xpdf "howie" "~/books/__alg/howie__fields_and_galois_theory.pdf") (code-pdftotext "howie" "~/books/__alg/howie__fields_and_galois_theory.pdf") ;; (find-howiepage 1 "Contents") ;; (find-howiepage (+ 1 1) "Index") ;; (find-howietext "") ;; «jacobson» (to ".jacobson") (code-djvu "jacobson1" "~/books/__alg/jacobson__basic_algebra_1.djvu") (code-djvutotext "jacobson1" "~/books/__alg/jacobson__basic_algebra_1.djvu") ;; (find-jacobson1page 4 "Contents") ;; (find-jacobson1page (+ 16 1) "Index") ;; (find-jacobson1page (+ 16 493) "Index") ;; (find-jacobson1text "") ;; «kaplansky» (to ".kaplansky") ;; http://gigapedia.com/items/101666/commutative-rings--lectures-in-mathematics--revised-edition ;; http://gigapedia.com/items/167189/fields-and-rings--chicago-lectures-in-mathematics- (code-xpdf "kaplanskycrings" "~/books/__alg/kaplansky__commutative_rings_revised_ed.pdf") (code-pdftotext "kaplanskycrings" "~/books/__alg/kaplansky__commutative_rings_revised_ed.pdf") ;; (find-kaplanskycringstext "") ;; (find-kaplanskycringspage (+ 4 1) "Prime Ideals and Integral Extensions") ;; (find-kaplanskycringspage (+ -82 174) "Index of Theorems") ;; (find-kaplanskycringspage (+ -86 181) "Index of Topics") (code-djvu "kaplanskyfrings" "~/books/__alg/kaplansky__fields_and_rings.djvu") ;; (find-kaplanskyfringspage 3 "Contents") ;; (find-kaplanskyfringspage (+ 7 48) "9. Simple extensions") ;; (find-kaplanskyfringspage (+ 7 55) "11. Separability") ;; (find-kaplanskyfringspage (+ 6 201) "Index") ;; «kendig» (to ".kendig") ;; (find-books "__alg/__alg.el" "kendig") ;; (find-fline "~/Pictures/conics.png") ;; Anyway, one day, in his office, I happened to mention Bézout's Theorem... (code-pdf-page "kendigc" "~/books/__alg/kendig__conics.pdf") (code-pdf-text "kendigc" "~/books/__alg/kendig__conics.pdf" 1) ;; (find-kendigcpage) ;; (find-kendigcpage 13 "Hassler Whitney" "Bézout" "counterexamples") ;; (find-kendigcpage 14 "Contents") ;; (find-kendigcpage (+ 17 1) "1. Beauty and the beast") ;; (find-kendigcpage (+ 17 401) "Index") ;; (find-kendigctext "") ;; «kitaoka» (to ".kitaoka") ;; http://gigapedia.com/items/428733/arithmetic-of-quadratic-forms--cambridge-tracts-in-mathematics- (code-xpdf "kitaoka" "~/books/__alg/kitaoka__arithmetic_of_quadratic_forms.pdf") (code-pdftotext "kitaoka" "~/books/__alg/kitaoka__arithmetic_of_quadratic_forms.pdf") ;; (find-kitaokapage 5 "Contents") ;; (find-kitaokapage (+ 10 269) "Index") ;; (find-kitaokatext "") ;; «lang» (to ".lang") ;; http://gigapedia.org/items/31384/algebra ;; http://gigapedia.org/items/51528/undergraduate-algebra--undergraduate-texts-in-mathematics- (code-djvu "langalgebra" "~/books/__alg/lang__algebra_3rd_ed.djvu") (code-djvutotext "langalgebra" "~/books/__alg/lang__algebra_3rd_ed.djvu") (code-djvu "langualgebra" "~/books/__alg/lang__undergraduate_algebra.djvu") (code-djvutotext "langualgebra" "~/books/__alg/lang__undergraduate_algebra.djvu") ;; (find-langalgebrapage 10 "Contents") ;; (find-langalgebrapage (+ 15 20) "Butterfly lemma") ;; (find-langalgebrapage (+ 15 86) "principal ring") ;; (find-langalgebrapage (+ 15 88) "Dedeking ring") ;; (find-langalgebrapage (+ 15 107) "4. Localization") ;; (find-langalgebrapage (+ 15 110) "when A is an entire ring then A[X_1,...,X_n] is also entire") ;; (find-langalgebrapage (+ 15 110) "local ring") ;; (find-langalgebrapage (+ 15 111) "5. Principal and factorial rings") ;; (find-langalgebrapage (+ 15 114) "Examples of non-factorial rings") ;; (find-langalgebrapage (+ 15 116) "Dedekind ring") ;; (find-langalgebrapage (+ 15 157) "9. The Snake Lemma") ;; (find-langalgebrapage (+ 15 173) "Euclidean Algorithm") ;; (find-langalgebrapage (+ 15 180) "2. Polynomials over a factorial ring") ;; (find-langalgebrapage (+ 15 182) "Let A be a factorial ring. Then" "A[X]" "is factorial.") ;; (find-langalgebrapage (+ 15 186) "Noetherian ring") ;; (find-langalgebrapage (+ 15 223) "V. Algebraic Extensions") ;; (find-langalgebrapage (+ 15 224) "Irr(\aa, F, X)") ;; (find-langalgebrapage (+ 15 226) "we denote by EF the" "compositum") ;; (find-langalgebrapage (+ 15 233) "p(X) = Irr(\aa, F, X)") ;; (find-langalgebrapage (+ 15 416) "nilpotent") ;; (find-langalgebrapage (+ 15 569) "nilpotent") ;; (find-langalgebrapage (+ 15 761) "Homological algebra") ;; (find-langalgebrapage (+ 15 903) "Index") ;; (find-langalgebratext "") ;; (find-langualgebrapage 9 "Contents") ;; (find-langualgebrapage (+ 11 113) "Euclidean Algorithm") ;; (find-langualgebrapage (+ 11 120) "IV, 3. Unique factorization") ;; (find-langualgebrapage (+ 11 165) "IV, 9. The Mason-Stothers Theorem") ;; (find-langualgebrapage (+ 11 167) "Proof: write it down yourself. It'll keep you in shape.") ;; (find-langualgebrapage (+ 11 258) "VII. Field Theory") ;; (find-langualgebrapage (+ 11 259) "Proposition 1.2." "the ideals of F(\aa)") ;; (find-langualgebrapage (+ 11 259) "Theorem 1.3.") ;; (find-langualgebrapage (+ 11 261) "An extension E of F can be algebraic without being finite.") ;; (find-langualgebrapage (+ 11 262) "tower of fields") ;; (find-langualgebrapage (+ 11 263) "not" "[E_1E_2:E_2] = [E_1:F]") ;; (find-langualgebrapage (+ 11 264) "Proposition 1.5." "[EF':F']<=[E:F]") ;; (find-langualgebrapage (+ 11 264) "three basic constructions of field extensions") ;; (find-langualgebrapage (+ 11 267) "VI, 2. Embeddings") ;; (find-langualgebrapage (+ 11 275) "VII, 3. Splitting Fields") ;; (find-langualgebrapage (+ 9 381) "Index") ;; (find-langualgebratext "") ;; «levin» (to ".levin") (code-xpdf "levindiff" "~/books/__alg/levin__difference_algebra.pdf") (code-pdftotext "levindiff" "~/books/__alg/levin__difference_algebra.pdf") ;; (find-levindiffpage 9 "Contents") ;; (find-levindiffpage (+ 11 507) "Index") ;; (find-levindifftext "") ;; «lidl» (to ".lidl") ;; (find-books "__alg/__alg.el" "lidl") (code-pdf-page "lidl" "~/books/__alg/lidl_niederreiter__finite_fields.pdf") (code-pdf-text "lidl" "~/books/__alg/lidl_niederreiter__finite_fields.pdf" 1) ;; (find-lidlpage) ;; (find-lidlpage 1 "Contents") ;; (find-lidlpage (+ 1 189) "Index") ;; (find-lidltext "") ;; «liu» (to ".liu") ;; http://gigapedia.org/items/65435/algebraic-geometry-and-arithmetic-curves (code-djvu "liu" "~/books/__alg/liu__algebraic_geometry_and_arithmetic_curves.djvu") (code-djvutotext "liu" "~/books/__alg/liu__algebraic_geometry_and_arithmetic_curves.djvu") ;; (find-liupage 11 "Contents") ;; (find-liupage (+ 16 562) "Index") ;; (find-liutext "") ;; «miranda» (to ".miranda") (code-djvu "miranda" "~/books/__alg/miranda__algebraic_curves_and_riemann_surfaces.djvu") (code-djvutotext "miranda" "~/books/__alg/miranda__algebraic_curves_and_riemann_surfaces.djvu") ;; (find-mirandapage 3 "Contents") ;; (find-mirandapage (+ 15 377) "Index") ;; (find-mirandatext "") ;; «morandi» (to ".morandi") ;; http://gigapedia.com/items/252914/field-and-galois-theory--graduate-texts-in-mathematics---v--167- (code-djvu "morandi" "~/books/__alg/morandi__field_and_galois_theory.djvu") (code-djvutotext "morandi" "~/books/__alg/morandi__field_and_galois_theory.djvu") ;; (find-morandipage 13 "Contents") ;; (find-morandipage (+ 18 1) "I. Galois Theory") ;; (find-morandipage (+ 18 55) "Primitive Element Theorem") ;; (find-morandipage (+ 17 277) "Index") ;; (find-moranditext "") ;; «mumford» (to ".mumford") ;; http://gigapedia.org/items/41997/the-red-book-of-varieties-and-schemes--includes-the-michigan-lectures--1974--on-curves-and-their-jacobians--lecture-notes-in-mathematics- (code-djvu "mumford" "~/books/__alg/mumford__the_red_book_of_varieties_and_schemes.djvu") (code-djvutotext "mumford" "~/books/__alg/mumford__the_red_book_of_varieties_and_schemes.djvu") ;; (find-mumfordpage 9 "Contents") ;; (find-mumfordpage (+ 9 1) "I. Varieties") ;; (find-mumfordpage (+ 9 5) "Theorem 1 (Hilbert's Nullstelensatz).") ;; (find-mumfordpage (+ 9 11) "3. Definition of a morphism") ;; (find-mumfordpage (+ 9 14) "The assignment ... extends to a contravariant functor") ;; (find-mumfordpage (+ 9 65) "II. Preschemes") ;; (find-mumfordpage (+ 9 137) "III. Local Properties of Schemes") ;; (find-mumfordpage (+ 9 187) "7. Non-singularity and the UFD property") ;; (find-mumfordpage (+ 9 207) "9. Zariski's Main Theorem") ;; (find-mumfordpage (+ 9 228) "Lecture I") ;; (find-mumfordpage (+ 9 243) "Lecture II") ;; (find-mumfordpage (+ 9 257) "Lecture III") ;; (find-mumfordpage (+ 9 271) "Lecture IV") ;; (find-mumfordtext (+ 1 1) "Index") ;; «nestruev» (to ".nestruev") ;; http://gigapedia.com/items/47035/smooth-manifolds-and-observables--graduate-texts-in-mathematics- (code-xpdf "~/books/__alg/nestruev" "nestruev__smooth_manifolds_and_observables.pdf") (code-pdftotext "~/books/__alg/nestruev" "nestruev__smooth_manifolds_and_observables.pdf") ;; (find-~/books/__alg/nestruevpage 9 "Contents") ;; (find-~/books/__alg/nestruevpage (+ 2 219) "Index") ;; (find-~/books/__alg/nestruevtext "") ;; «reid» (to ".reid") ;; http://www.warwick.ac.uk/~masda/ ;; http://gigapedia.com/items/42101/undergraduate-commutative-algebra--london-mathematical-society-student-texts- ;; http://gigapedia.com/items/21964/undergraduate-algebraic-geometry--london-mathematical-society-student-texts- (code-djvu "reiduca" "~/books/__alg/reid__undergraduate_commutative_algebra.djvu") (code-djvutotext "reiduca" "~/books/__alg/reid__undergraduate_commutative_algebra.djvu") (code-xpdf "reiduag" "~/books/__alg/reid__undegraduate_algebraic_geometry.pdf") (code-pdftotext "reiduag" "~/books/__alg/reid__undegraduate_algebraic_geometry.pdf") ;; (find-reiducapage 4 "Contents") ;; (find-reiducapage (+ 11 1) "build one of the bridges") ;; (find-reiducapage (+ 11 2) "nilrad A") ;; (find-reiducapage (+ 11 27) "Plenty of prime ideals") ;; (find-reiducapage (+ 11 29) "Radical") ;; (find-reiducapage (+ 11 150) "Index") ;; (find-reiducatext "") ;; (find-reiduagpage 8 "Contents") ;; (find-reiduagpage (+ 9 1) "0. Woffle") ;; (find-reiduagpage (+ 9 9) "1. Plane conics") ;; (find-reiduagpage (+ 9 27) "2. Cubics and the group law") ;; (find-reiduagpage (+ 9 48) "3. Affine varieties and the Nullstellensatz") ;; (find-reiduagpage (+ 9 66) "4. Functions on varieties") ;; (find-reiduagpage (+ 9 79) "5. Projective varieties and birational equivalence") ;; (find-reiduagpage (+ 9 94) "6. Tangent space and nonsingularity, dimension") ;; (find-reiduagpage (+ 9 102) "7. The 27 lines on a cubic surface") ;; (find-reiduagpage (+ 9 114) "8. Final comments") ;; (find-reiduagpage (+ 9 121) "8.13. What's the point?") ;; (find-reiduagpage (+ 9 125) "Nilpotents") ;; (find-reiduagpage (+ 9 129) "Index") ;; (find-reiduagtext "") ;; «rhodes» (to ".rhodes") ;; (find-books "__alg/__alg.el" "rhodes") ;; Rhodes: "Applications of Automata Theory and Algebra Via the ;; Mathematical Theory of Complexity to Biology, Physics, Psychology, ;; Philosophy, and Games" ("The Wild Book") (code-pdf-page "thewildbook" "~/books/__alg/rhodes__the_wild_book.pdf") (code-pdf-text "thewildbook" "~/books/__alg/rhodes__the_wild_book.pdf" 1) ;; (find-thewildbookpage) ;; (find-thewildbooktext "") ;; (find-thewildbookpage 5 "Contents") ;; (find-thewildbooktext 5 "Contents") ;; (find-thewildbookpage 7 "Foreword to Rhodes' Applications of Automata Theory and Algebra") ;; (find-thewildbookpage 13 "Editorial Preface") ;; (find-thewildbookpage 13 "The Wild Book") ;; (find-thewildbooktext 13 "The Wild Book") ;; (find-thewildbookpage (+ 17 1) "Prologue: Birth, Death, (...) and Religion") ;; (find-thewildbookpage (+ 17 7) "1. Introduction") ;; (find-thewildbookpage (+ 17 9) "2. What is Finite Group Theory?") ;; (find-thewildbookpage (+ 17 14) "Bibliography") ;; (find-thewildbookpage (+ 17 15) "3. A Generalization of Finite Group Theory to Finite Semigroups") ;; (find-thewildbookpage (+ 17 33) "Bibliography") ;; (find-thewildbookpage (+ 17 35) "4. A Reformulation of Physics") ;; (find-thewildbookpage (+ 17 54) "Bibliography") ;; (find-thewildbookpage (+ 17 55) "5. Automata Models and the Complexity of Finite State Machines") ;; (find-thewildbookpage (+ 17 55) "Part I. The Prime Decomposition Theorem") ;; (find-thewildbookpage (+ 17 67) "Part II. Complexity of Finite State Machines") ;; (find-thewildbookpage (+ 17 76) "Bibliography") ;; (find-thewildbookpage (+ 17 77) "Appendix to Chapter 5") ;; (find-thewildbookpage (+ 17 108) "Bibliography") ;; (find-thewildbookpage (+ 17 111) "6. Applications") ;; (find-thewildbookpage (+ 17 111) "Introduction") ;; (find-thewildbookpage (+ 17 114) "Part I. Analysis and Classification of Biochemical Reactions") ;; (find-thewildbookpage (+ 17 175) "Bibliography") ;; (find-thewildbookpage (+ 17 176) "Part II. Complexity of Evolved Organisms") ;; (find-thewildbookpage (+ 17 195) "Appendix to Part II") ;; (find-thewildbookpage (+ 17 201) "Bibliography") ;; (find-thewildbookpage (+ 17 203) "Part III. The Lagrangian of Life") ;; (find-thewildbookpage (+ 17 203) "A. The Laws of Growing and Evolving Organisms") ;; (find-thewildbookpage (+ 17 219) "Bibliography") ;; (find-thewildbookpage (+ 17 220) "B. Complexity, Emotion, Neurosis and Schizophrenia") ;; (find-thewildbookpage (+ 17 239) "Bibliography") ;; (find-thewildbookpage (+ 17 241) "Part IV. Complexity of Games") ;; (find-thewildbookpage (+ 17 256) "Bibliography") ;; (find-thewildbookpage (+ 17 257) "Index") ;; «ritt» (to ".ritt") (code-xpdf "rittdalg" "~/books/__alg/ritt__differential_algebra.pdf") ;; (find-rittdalgpage 5 "Contents") ;; (find-rittdalgpage (+ 5 183) "Index") (code-djvu "rittdeqs" "~/books/__alg/ritt__differential_equations_from_the_algebraic_standpoint.djvu") ;; (find-rittdeqspage 9 "Contents") ;; (find-rittdeqspage (+ 10 172) "Index") (code-xpdf "rittdeqs" "~/books/__alg/ritt__differential_equations_from_the_algebraic_standpoint.pdf") (code-pdftotext "rittdeqs" "~/books/__alg/ritt__differential_equations_from_the_algebraic_standpoint.pdf") ;; (find-rittdeqspage 13 "Contents") ;; (find-rittdeqspage (+ 14 172) "Index") ;; (find-rittdeqstext "") ;; «schinzel» (to ".schinzel") (code-djvu "schinzel" "~/books/__alg/schinzel__polynomials_with_special_regard_to_reducibility.djvu") (code-djvutotext "schinzel" "~/books/__alg/schinzel__polynomials_with_special_regard_to_reducibility.djvu") ;; (find-schinzelpage 5 "Contents") ;; (find-schinzelpage (+ 10 555) "Index of definitions and conjectures") ;; (find-schinzelpage (+ 10 556) "Index of theorems") ;; (find-schinzelpage (+ 10 557) "Index of terms") ;; (find-schinzeltext "") ;; «stewart» (to ".stewart") ;; http://gigapedia.com/items/63672/galois-theory--third-edition--chapman--amp--hall-crc-mathematics- ;; http://flash.lakeheadu.ca/~avantuyl/courses/oldcourses/Stewart_Corrections.pdf ;; (find-stewartgaloiscorrpage 1 "Contents") ;; (find-stewartgaloiscorrpage (+ 1 1) "Index") ;; (find-stewartgaloiscorrtext "") (code-djvu "stewartgalois" "~/books/__alg/stewart__galois_theory.djvu") (code-djvutotext "stewartgalois" "~/books/__alg/stewart__galois_theory.djvu") ;; (find-zsh "djvutxt ~/books/__alg/stewart__galois_theory.djvu") (code-xpdf "stewartgaloiscorr" "$S/http/flash.lakeheadu.ca/~avantuyl/courses/oldcourses/Stewart_Corrections.pdf") (code-pdftotext "stewartgaloiscorr" "$S/http/flash.lakeheadu.ca/~avantuyl/courses/oldcourses/Stewart_Corrections.pdf") ;; (find-stewartgaloispage 4 "Contents") ;; (find-stewartgaloispage (+ 35 57) "Simple field extensions") ;; (find-stewartgaloistext "") ;; http://www.math.cornell.edu/~kbrown/4340/primitive.pdf ;; http://en.wikipedia.org/wiki/Primitive_element_theorem ;; (find-stewartgaloispage (+ 35 1) "1 Classical Algebra") ;; (find-stewartgaloispage (+ 35 17) "2 The Fundamental Theorem of Algebra") ;; (find-stewartgaloispage (+ 35 31) "3 Factorization of Polynomials") ;; (find-stewartgaloispage (+ 35 40) "3.4 Eisenstein's criterion") ;; (find-stewartgaloispage (+ 35 49) "4 Field Extensions") ;; (find-stewartgaloispage (+ 35 57) "5 Simple Extensions") ;; (find-stewartgaloispage (+ 35 67) "6 The Degree of an Extension") ;; (find-stewartgaloispage (+ 35 75) "7 Ruler-and-Compass Constructions") ;; (find-stewartgaloispage (+ 35 85) "8 The Idea Behind Galois Theory") ;; (find-stewartgaloispage (+ 35 90) "8.5 Polynomials and extensions") ;; (find-stewartgaloispage (+ 35 97) "insoluble by Ruffini radicals") ;; (find-stewartgaloispage (+ 35 107) "9 Normality and Separability") ;; (find-stewartgaloispage (+ 35 110) "9.2 Normality") ;; (find-stewartgaloispage (+ 35 117) "10 Counting Principles") ;; (find-stewartgaloispage (+ 35 125) "11 Field Automorphisms") ;; (find-stewartgaloispage (+ 35 133) "12 The Galois Correspondence") ;; (find-stewartgaloispage (+ 35 137) "13 A Worked Example") ;; (find-stewartgaloispage (+ 35 143) "14 Solubility and Simplicity") ;; (find-stewartgaloispage (+ 35 149) "the class equation for G") ;; (find-stewartgaloispage (+ 35 151) "show that the first and second isomorphism theorems") ;; (find-stewartgaloispage (+ 35 153) "15 Solution by Radicals") ;; (find-stewartgaloispage (+ 35 163) "16 Abstract Rings and Fields") ;; (find-stewartgaloispage (+ 35 177) "17 Abstract Field Extensions") ;; (find-stewartgaloispage (+ 35 191) "18 The General Polynomial") ;; (find-stewartgaloispage (+ 35 209) "19 Regular Polygons") ;; (find-stewartgaloispage (+ 35 227) "20 Finite Fields") ;; (find-stewartgaloispage (+ 35 233) "21 Circle Division") ;; (find-stewartgaloispage (+ 35 251) "22 Calculating Galois Groups") ;; (find-stewartgaloispage (+ 35 261) "23 Algebraically Closed Fields") ;; (find-stewartgaloispage (+ 35 263) "23.2 Sylow's Theorem") ;; (find-stewartgaloispage (+ 35 264) "Theorem 23.8 (Sylow)") ;; (find-stewartgaloispage (+ 35 269) "24 Transcendental Numbers") ;; (find-stewartgaloispage (+ 35 283) "Index") ;; «stillwell» (to ".stillwell") ;; http://gigapedia.com/items/424290/elements-of-algebra--geometry--numbers--equations ;; (find-booksfile "__alg/__alg.el") (code-djvu "stillwellalg" "~/books/__alg/stillwell__elements_of_algebra.djvu") (code-djvutotext "stillwellalg" "~/books/__alg/stillwell__elements_of_algebra.djvu") ;; (find-stillwellalgpage 1 "Contents") ;; (find-stillwellalgpage (+ 0 170) "Index") ;; (find-stillwellalgtext "") ;; «strang» (to ".strang") ;; (find-books "__alg/__alg.el" "strang") ;; https://math.mit.edu/~gs/learningfromdata/ (code-pdf-page "strang4" "~/books/__alg/strang__linear_algebra_and_its_applications_4th_ed.pdf") (code-pdf-text "strang4" "~/books/__alg/strang__linear_algebra_and_its_applications_4th_ed.pdf" 10) ;; (find-strang4page) ;; (find-strang4text "") ;; (find-strang4page 3 "Contents") ;; (find-strang4page 6 "Preface") ;; (find-strang4page (+ 10 1) "1 Matrices and Gaussian Elimination") ;; (find-strang4page (+ 10 1) "1.1 Introduction") ;; (find-strang4page (+ 10 3) "That singular case") ;; (find-strang4text (+ 10 3) "That singular case") ;; (find-strang4page (+ 10 4) "1.2 The Geometry of Linear Equations") ;; (find-strang4page (+ 10 13) "1.3 An Example of Gaussian Elimination") ;; (find-strang4page (+ 10 21) "1.4 Matrix Notation and Matrix Multiplication") ;; (find-strang4page (+ 10 36) "1.5 Triangular Factors and Row Exchanges") ;; (find-strang4page (+ 10 50) "1.6 Inverses and Transposes") ;; (find-strang4page (+ 10 66) "1.7 Special Matrices and Applications") ;; (find-strang4page (+ 10 72) "Review Exercises") ;; (find-strang4page (+ 10 77) "2 Vector Spaces") ;; (find-strang4page (+ 10 77) "2.1 Vector Spaces and Subspaces") ;; (find-strang4page (+ 10 86) "2.2 Solving Ax = 0 and Ax = b") ;; (find-strang4page (+ 10 103) "2.3 Linear Independence, Basis, and Dimension") ;; (find-strang4page (+ 10 115) "2.4 The Four Fundamental Subspaces") ;; (find-strang4page (+ 10 129) "2.5 Graphs and Networks") ;; (find-strang4page (+ 10 140) "2.6 Linear Transformations") ;; (find-strang4page (+ 10 154) "Review Exercises") ;; (find-strang4page (+ 10 159) "3 Orthogonality") ;; (find-strang4page (+ 10 159) "3.1 Orthogonal Vectors and Subspaces") ;; (find-strang4page (+ 10 171) "3.2 Cosines and Projections onto Lines") ;; (find-strang4page (+ 10 180) "3.3 Projections and Least Squares") ;; (find-strang4page (+ 10 195) "3.4 Orthogonal Bases and Gram-Schmidt") ;; (find-strang4page (+ 10 195) "A matrix with orthonormal columns") ;; (find-strang4text (+ 10 195) "A matrix with orthonormal columns") ;; (find-strang4page (+ 10 196) "Orthogonal Matrices") ;; (find-strang4text (+ 10 196) "Orthogonal Matrices") ;; (find-strang4page (+ 10 211) "3.5 The Fast Fourier Transform") ;; (find-strang4page (+ 10 221) "Review Exercises") ;; (find-strang4page (+ 10 225) "4 Determinants") ;; (find-strang4page (+ 10 225) "4.1 Introduction") ;; (find-strang4page (+ 10 227) "4.2 Properties of the Determinant") ;; (find-strang4page (+ 10 236) "4.3 Formulas for the Determinant") ;; (find-strang4page (+ 10 247) "4.4 Applications of Determinants") ;; (find-strang4page (+ 10 258) "Review Exercises") ;; (find-strang4page (+ 10 260) "5 Eigenvalues and Eigenvectors") ;; (find-strang4page (+ 10 260) "5.1 Introduction") ;; (find-strang4page (+ 10 267) "Eigshow") ;; (find-strang4page (+ 10 273) "5.2 Diagonalization of a Matrix") ;; (find-strang4page (+ 10 283) "5.3 Difference Equations and Powers Ak") ;; (find-strang4page (+ 10 296) "5.4 Differential Equations and eAt") ;; (find-strang4page (+ 10 312) "5.5 Complex Matrices") ;; (find-strang4page (+ 10 312) "Every symmetric matrix") ;; (find-strang4text (+ 10 312) "Every symmetric matrix") ;; (find-strang4page (+ 10 325) "5.6 Similarity Transformations") ;; (find-strang4page (+ 10 341) "Review Exercises") ;; (find-strang4page (+ 10 345) "6 Positive Definite Matrices") ;; (find-strang4page (+ 10 345) "6.1 Minima, Maxima, and Saddle Points") ;; (find-strang4page (+ 10 352) "6.2 Tests for Positive Definiteness") ;; (find-strang4page (+ 10 355) "Cholesky decomposition") ;; (find-strang4text (+ 10 355) "Cholesky decomposition") ;; (find-strang4page (+ 10 367) "6.3 Singular Value Decomposition") ;; (find-strang4page (+ 10 376) "6.4 Minimum Principles") ;; (find-strang4page (+ 10 384) "6.5 The Finite Element Method") ;; (find-strang4page (+ 10 390) "7 Computations with Matrices") ;; (find-strang4page (+ 10 390) "7.1 Introduction") ;; (find-strang4page (+ 10 391) "7.2 Matrix Norm and Condition Number") ;; (find-strang4page (+ 10 399) "7.3 Computation of Eigenvalues") ;; (find-strang4page (+ 10 407) "7.4 Iterative Methods for Ax = b") ;; (find-strang4page (+ 10 417) "8 Linear Programming and Game Theory") ;; (find-strang4page (+ 10 417) "8.1 Linear Inequalities") ;; (find-strang4page (+ 10 422) "8.2 The Simplex Method") ;; (find-strang4page (+ 10 434) "8.3 The Dual Problem") ;; (find-strang4page (+ 10 444) "8.4 Network Models") ;; (find-strang4page (+ 10 451) "8.5 Game Theory") ;; (find-strang4page (+ 10 459) "A Intersection, Sum, and Product of Spaces") ;; (find-strang4page (+ 10 459) "A.1 The Intersection of Two Vector Spaces") ;; (find-strang4page (+ 10 460) "A.2 The Sum of Two Vector Spaces") ;; (find-strang4page (+ 10 461) "A.3 The Cartesian Product of Two Vector Spaces") ;; (find-strang4page (+ 10 461) "A.4 The Tensor Product of Two Vector Spaces") ;; (find-strang4page (+ 10 462) "A.5 The Kronecker Product A B of Two Matrices") ;; (find-strang4page (+ 10 466) "B The Jordan Form") ;; (find-strang4page (+ 55 428) "Solutions to Selected Exercises") ;; (find-strang4page (+ 58 473) "C Matrix Factorizations") ;; (find-strang4page (+ 58 475) "D Glossary: A Dictionary for Linear Algebra") ;; (find-strang4page (+ 58 484) "E MATLAB Teaching Codes") ;; (find-strang4page (+ 58 485) "http://web.mit.edu/18.06/www") ;; (find-strang4text (+ 58 485) "http://web.mit.edu/18.06/www") ;; (find-strang4page (+ 58 486) "F Linear Algebra in a Nutshell") ;; ;; file:///home/edrx/books/__alg/strang__linear_algebra_and_its_applications_4th_ed.pdf ;; 2-5,11-86 Strang4cap1 ;; 2-5,169-234 Strang4cap3 ;; 2-5,235-269 Strang4cap4 ;; 2-5,270-354 Strang4cap5 ;; 2-5,355-399 Strang4cap6 ;; https://gregorygundersen.com/blog/2018/12/20/svd-proof/ ;; https://news.ycombinator.com/item?id=39665431 Proof of the Singular Value Decomposition (gregorygundersen.com) ;; «ueno» (to ".ueno") ;; http://gigapedia.org/items/29684/algebraic-geometry-1--from-algebraic-varieties-to-schemes--translations-of-mathematical-monographs- ;; http://gigapedia.org/items/60958/algebraic-geometry-2--sheaves-and-cohomology--translations-of-mathematical-monographs- ;; http://gigapedia.org/items/60961/algebraic-geometry-3--further-study-of-schemes--translations-of-mathematical-monographs- (code-djvu "ueno1" "~/books/__alg/ueno__algebraic_geometry_1.djvu") (code-djvutotext "ueno1" "~/books/__alg/ueno__algebraic_geometry_1.djvu") ;; (find-ueno1page 4 "Contents") ;; (find-ueno1page (+ 10 153) "Index") ;; (find-ueno1text "") ;; «vermani» (to ".vermani") (code-djvu "vermani" "~/books/__alg/vermani__an_elementary_approach_to_homological_algebra.djvu") (code-djvutotext "vermani" "~/books/__alg/vermani__an_elementary_approach_to_homological_algebra.djvu") ;; (find-vermanipage 1 "Contents") ;; (find-vermanipage (+ 1 1) "Index") ;; (find-vermanitext "") ;; «waterhouse» (to ".waterhouse") (code-djvu "waterhouse" "~/books/__alg/waterhouse__introduction_to_affine_group_schemes.djvu") (code-djvutotext "waterhouse" "~/books/__alg/waterhouse__introduction_to_affine_group_schemes.djvu") ;; (find-waterhousepage 5 "Contents") ;; (find-waterhousepage (+ 10 162) "Index") ;; (find-waterhousetext "") ;; «weibel» (to ".weibel") (code-djvu "weibel" "~/books/__alg/weibel__an_introduction_to_homological_algebra.djvu") (code-djvutotext "weibel" "~/books/__alg/weibel__an_introduction_to_homological_algebra.djvu") ;; (find-weibelpage 5 "Contents") ;; (find-weibelpage (+ 12 379) "10.3 Localization and the Calculus of Fractions") ;; (find-weibelpage (+ 12 435) "Index") ;; (find-weibeltext "") ;; Liszl Gaal: Classical Galois Theory with Examples ;; Joseph Rotman: Galois Theory ;; Edwards: Galois Theory ;; http://gigapedia.com/items/253950/why-beauty-is-truth--the-history-of-symmetry (code-xpdf "grillet" "~/books/__alg/grillet__abstract_algebra.pdf") (code-pdftotext "grillet" "~/books/__alg/grillet__abstract_algebra.pdf") ;; (find-grilletpage 1 "Contents") ;; (find-grilletpage (+ 1 1) "Index") ;; (find-grillettext "") ;; ;; Local Variables: ;; mode: emacs-lisp ;; coding: raw-text-unix ;; End: