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Chủ đề trong 'Toán học' bởi mengmeng, 05/01/2009.

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    Đặc biệt là các sách Toán về lĩnh vực Đại Số (Algebra ) , như :
    1 ) Đại số hiện đại .
    2) Đại số tính toán ( Computer Algebra ) .
    3) Hình học Đại số ( Geometry Algebra ) .
    4) Tính toán các cơ sở Grobner Basis , Macaulay Basis ....
    5) Lý thuyết Galois ứng dụng trong việc giải các hệ thống phương trình vi phân .....
    6) Lý thuyết số , các thuật toán trong lý thuyết số , phân tích các đa thức nhiều biến thành các đa thức bất khả quy , các phương pháp tính toán trong lý thuyết nhóm ( computational in group theory )
    7) Ứng dụng của Đại Số hiện đại vào tin học , vật lý , .....
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    Vài danh sách các sách Toán
    # Anderson F.W., Fuller K.R. Rings and categories of modules [2ed., Springer, 1992] (djvu,385 p.,4993K,600dpi,en,T,K)
    # Artin M. Galois theory [2ed, London, 1944] (pdf,86 p.,1504K,en)
    # Atiyah M.F., Bott R., Shapiro A. Clifford modules [1963] (djvu,36 p.,333K,300dpi,en,T)
    # Ayres F., Jaisingh L. Schaums outline of theory and problems of abstract algebra [2ed., MGH, 2004] (pdf,310 p.,2721K,en)
    # Baker. Galois Theory, U Glasgow course (pdf,88 p.,610K,en)
    # Beidar K.I., Martindale W.S., Mikhalev A.V. Rings with generalized identities [M.Dekker 1995] (0824793250,djvu,531 p.,4106K,150dpi,en,T)
    # Berman. Galois theory of linear ODEs (phd thesis) (pdf,157 p.,1055K,en)
    # Blackadar B. K-theory for operator algebras [2ed., CUP, 1998] (0521635322,djvu,318 p.,3051K,600dpi,en,T)
    # Brown W.C. Matrices over commutative rings [M.Dekker, 1993] (djvu,294 p.,2653K,300dpi,en,T)
    # Bruns W., Vetter U. Determinantal Rings [Springer LNM 1327, 1988] (3540194681,pdf,144 p.,1278K,en)
    # Cannas da Silva A., Weinstein A. Geometric models for noncommutative algebras [web draft, 1998] (pdf,194 p.,908K,en)
    # Cherednik I. Double affine Hecke algebra [web draft, 2004] (djvu,451 p.,3552K,300dpi,en,T)
    # Dummit D.S., Foote R.M. Abstract algebra [PH, 1991] (djvu,668 p.,5458K,300dpi,en,T)
    # Enderton H.B. Elements of set theory [AP, 1977] (djvu,289 p.,2079K,300dpi,en,T,K)
    # Enderton H.B. Elements of set theory [Academic Press, 1977] (djvu,289 p.,1948K,300dpi,en,T,K)
    # Filaseta M. Irreducible polynomials theory (no chap.5) [Math788F, 1998] (pdf,328 p.,2052K,en)
    # Goldschmidt D.M. Group Characters, Symmetric Functions, and the Hecke Algebra [AMS, 1993] (djvu,69 p.,1760K,400dpi,en,T)
    # Hadamard. Cinq lettres sur la theorie des ensembles [BSMF 33, 1905] (djvu,14 p.,513K,600dpi,fr,T)
    # Hadamard. Cinq lettres sur la theorie des ensembles [BSMF 33, 1905] (djvu,14 p.,509K,300dpi,fr,T)
    # Hermann R. (ed.) Hilbert''s invariant theory papers [1978] (0915692260,djvu,350 p.,2207K,300dpi,L,en,T)
    # Hilbert D. Theory of algebraic invariants [CUP, 1993] (0521444578,djvu,203 p.,1139K,300dpi,en,T,K)
    # Hobby D., McKenzie R. The Structure of Finite Algebras [AMS 1996] (djvu,212 p.,3048K,300dpi,en,T)
    # Hrbacek K., Jech T. Introduction to set theory [3ed., M.Dekker, 1999] (0824779150,djvu,308 p.,3118K,300dpi,en,T)
    # Jacobson N. Structure and representations of Jordan algebras [AMS 1968] (djvu,461 p.,7365K,300dpi,en,T)
    # Kadison R.V., Araki H. (ed.) C-algebras and aplications to physics [LNM650, Springer, 1978] (djvu,198 p.,1455K,300dpi,en,T)
    # Klein F. Lectures on the ikosahedron and the solution of equation of the fifth degree [London, 1888] (djvu,306 p.,2321K,300dpi,en)
    # Klein F. Lectures on the ikosahedron and the solution of equation of the fifth degree [London, 1888] (djvu,306 p.,3052K,300dpi,en,T)
    # Knus M.-A., Merkurjev A., Rost M., Tignol J.-P. The book of involutions (draft book) (pdf,588 p.,3506K,en)
    # Kostrikin A.I., Shafarevich I.R. Algebra I. Basic notions of algebra (Enc.Math.Sci.11, Springer) (djvu,260 p.,3031K,300dpi,en,T)
    # Kwasniewski. Clifford and Grassmann like algebras: Old and New [J.Math.Phys. 1985] (djvu,6 p.,193K,300dpi,en,T)
    # Lam T.Y. A first course in noncommutative rings [Springer, 1991] (0387975233,djvu,418 p.,5433K,300dpi,L,en,T)
    # Lance E.C. Hilbert C-Modules: a toolkit for operator algebraists [CUP, 1995] (052147910X,djvu,138 p.,1277K,600dpi,en,T)
    # Landi G. Introduction to noncommutative spaces and their geometry [hep-th_9701078, book draft, 1997] (pdf,186 p.,1358K,en)
    # Loday J.-L. Dialgebras and Related Operads [LNM 1763, Springer, 2001] (3540421947,djvu,126 p.,1193K,400dpi,en,T)
    # Loday J.-L., et al. Dialgebras and related operads [LNM 1763, Springer, 2001] (3540421947,djvu,131 p.,1512K,300dpi,en,T)
    # Marcja A., Toffalori C. A guide to classical and modern model theory [Kluwer, 2003] (djvu,379 p.,3447K,600dpi,en,T,K)
    # McCleary J. User''s guide to spectral sequences [2ed., CUP, 2001] (pdf,575 p.,3564K,en)
    # McCleary J. User''s guide to spectral sequences [2ed., CUP, 2001] (djvu,575 p.,3572K,300dpi,en,T)
    # McMullen P. The polytope algebra [Adv.Math.78, p76, 1989] (djvu,56 p.,532K,300dpi,en,T)
    # Nastasescu C., van Oystaeyen F. Methods of Graded Rings [Springer LNM1836, 2004] (3540207465,pdf,295 p.,2351K,en)
    # Papaioannou A. Solutions to Atiyah and MacDonald''s Introduction to Commutative Algebra [web draft, 2004] (pdf,72 p.,418K,en)
    # Passman D.S. Group Rings, Crossed Products and Galois Theory [AMS, 1986] (djvu,77 p.,2380K,400dpi,en,T)
    # Passman D.S. Group Rings, Crossed Products and Galois Theory [AMS, 1986] (0821807145,djvu,77 p.,2406K,400dpi,en,T)
    # Pedersen G.K. C-algebras and their authomorphism groups [AP, 1979] (0125494505,djvu,426 p.,4206K,600dpi,en,T)
    # Ruiz J.M. Basic theory of power series [1993] (djvu,144 p.,1693K,300dpi,L,en,T)
    # Sabinin L.V. Smooth quasigroups and loops [Kluwer, 1999] (djvu,257 p.,2545K,600dpi,en,T)
    # Saito. (ed.) Theory of mixed Hodge modules [Kyoto, 1993] (djvu,168 p.,2051K,300dpi,L,en,T)
    # Sierpinski W. Algebre des ensembles [Warszawa, 1951] (djvu,204 p.,3639K,300dpi,L,fr,T)
    # Sierpinski W. Cardinal and ordinal numbers [PWN, 1965] (djvu,488 p.,5513K,300dpi,en,T,K)
    # Sierpinski W. Hypothese du continu [Warszawa-Lwow, 1934] (djvu,172 p.,2852K,300dpi,L,fr,T)
    # Stenstroem B. Ring of quotients. Introduction to methods of ring theory [Springer, 1975] (djvu,306 p.,3036K,300dpi,en,T)
    # Sweedler. Hopf algebras [1969] (djvu,350 p.,1469K,300dpi,en,T)
    # Unknown. Lectures on invariant theory (U.Michigan) (pdf,232 p.,1054K,en)
    # Wegge-Olsen N.E. K-theory and C-star-algebras: A friendly approach [Oxford, 1993] (djvu,380 p.,2517K,300dpi,en,T)
    # Wegner F. Grassmann-Variablen [Skriptum, 1998] (ps.gz,37 p.,144K,de)
    # Wilkins. Introduction to Galois theory (pdf,45 p.,285K,en)
    # Youssin B. Newton polyhedra without coordinates. Newton polyhedra of ideals [AMS 1990] (djvu,104 p.,1604K,300dpi,L,en,T)
    # van den Essen A. Polynomial automorphisms and the Jacobian conjecture [Birkhauser, 2000] (3764363509,djvu,348
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    # Dickenst (pdf,4628K,en)
    # Ajwa, Liu, Wang. Groebner bases algorithm: an introduction [1995,web draft, 2003] (pdf,14 p.,123K,en)
    # Becker T., Weispfenning V. Groebner bases and commutative algebra [Springer, 1993] (0387979719,djvu,596 p.,7282K,300dpi,L,en,T)
    # Bini D., Pan V.Y. Polynomial and matrix computations. Fundamental algorithms. Vol.1 [Birkhauser, 1994] (djvu,432 p.,5891K,300dpi,L,en,T)
    # Bykov, Kytmanov, Glazman. Elimination methods in polynomial algebra [Kluwer, 1997] (ps.gz,248 p.,693K,en)
    # Chou S.-C. Mechanical geometry theorem proving [1988] (9027726507,djvu,374 p.,4516K,300dpi,L,en,T)
    # Coste M. Introduction to semialgebraic geometry [2002] (djvu,78 p.,434K,300dpi,en,T)
    # Heck A. A birds-eye view of Groebner bases [web draft, 1996] (ps.gz,29 p.,197K,en)
    # Kalkbrener M. Three Contributions to Elimination Theory [PhD Wien, 1992] (3853698751,djvu,158 p.,4188K,300dpi,en,T)
    # Koepf W. Hypergeometric summation, algorithmic approach [1994] (djvu,240 p.,2568K,300dpi,L,en,T)
    # Kreuzer, Robbiano. Computational Commutative Algebra 1 (CoCoA) [Springer, 2000] (ps.gz,327 p.,965K,en)
    # Laurent H. L''Elimination [1900] (djvu,76 p.,982K,300dpi,L,fr,T)
    # Leamer M.J. Groebner finite path algebras [M.S. thesis, VA, 2004] (pdf,33 p.,262K,en)
    # Li H. Noncommutative Groebner bases and filtered-graded transfer [LNM 1795, Springer, 2002] (djvu,178 p.,1010K,300dpi,en,T)
    # Li H. Noncommutative Groebner bases and filtered-graded transfer [LNM1795, Spinger, 2002] (pdf,201 p.,851K,en)
    # Mishra B. Algorithmic algebra [Springer, 1993] (0387940901,djvu,432 p.,4082K,300dpi,L,en,T)
    # Neumaier A. Interval methods for systems of equations [CUP, 1990] (djvu,270 p.,1740K,300dpi,en,T,K)
    # Robbiano L. (ed.) Computational aspects of commutative algebra [AP, 1989] (0125895909,djvu,262 p.,2264K,300dpi,en,T)
    # Salomaa A., Soittola M. Automata-theoretic aspects of formal power series [Springer, 1978] (djvu,92 p.,1182K,300dpi,en,T)
    # Schenck H. Computational algebraic geometry [CUP, 2003] (052182964X,pdf,208 p.,1012K,en)
    # Schinzel A. Polynomials and their reducibility [CUP, 2000] (0521662257,djvu,568 p.,5223K,300dpi,L,en,T)
    # Schinzel A. Polynomials with special regard to reducibility [CUP, 2000] (djvu,568 p.,3887K,600dpi,en,T,K)
    # Seidenberg A. Decision method for elementary algebra [Ann.Math. 1954] (djvu,11 p.,169K,300dpi,en,T)
    # Seress A. Permutation group algorithms [CUP, 2002] (djvu,272 p.,3345K,600dpi,en,T)
    # Shoup V. A Computational Introduction to Number Theory and Algebra [Version1, free web draft, 2005] (pdf,533 p.,2748K,en)
    # Shoup V. A computational introduction to number theory and algebra [Cambridge, 2005] (pdf,539 p.,2284K,en)
    # Wicker S., Kim S. Fundamentals of codes, graphs and iterative decoding [Kluwer, 2002] (0306477947,djvu,240 p.,4603K,600dpi,en,T)
    # Wu Wen-Tsun. Mathematics Mechanization: Mechanical Geometry Theorem proving [Kluwer, 2000] (079235835X,djvu,427 p.,4330K,600dpi,en,T)
    # éséắéẹ, é>éáẹ,ẹ,éằ, éz-éăéá. é~ééàééằẹ<, éẳéẵéắééắéắéẹ?ééãéáẹ éá ééằééắẹ?éáẹ,éẳẹ< [éoéáẹ?, 2000] (djvu,670 p.,7312K,300
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    Về cơ sở Grobner ( Grobner Basis ) :
    Groebner bases
    * Apel, Klaus. Data representation in FELIX (DISCO92)(2 pages with Groebner basis examples) (djvu,4 p.,36K,300dpi,L,en,T)
    * Bachmann, Schoenemann. Monomial representations for Groebner bases (ISSAC98) (djvu,8 p.,123K,300dpi,en,T)
    * Bikker. Bezout''s method for computing the resultant [1995] (ps.gz,21 p.,75K,en)
    * Bronstein. Gsolve - faster Groebner bases solver (djvu,3 p.,83K,300dpi,en,T)
    * Caboara M. Optimization of basic algorithms in commutative algebra [phd thesis, 1998] (ps.gz,118 p.,386K,en)
    * Caboara, Kreuzer, Robbiano. Efficient computation of minimal set of critical pairs in Groebner bases [2003] (ps.gz,27 p.,136K,en)
    * Caboara. Dynamic algorithm for Groebner bases (ISSAC93) (djvu,9 p.,229K,300dpi,en,T)
    * Chyzak. Fonctions holonome et calcul formel (PhD Thesis, fr) (ps.gz,230 p.,497K,en)
    * Chyzak. Groebner bases and symbolic summation and integration (ps.gz,34 p.,224K,en)
    * Chyzak. Holonomic functions in computer algebra (slides, talk) (ps.gz,99 p.,211K,en)
    * Chyzak. Holonomic systems and automatic proofs of identities. RR-2371 (ps.gz,64 p.,192K,en)
    * Chyzak. Seminar on computer algebra [1999, 2000] (ps.gz,154 p.,686K,en)
    * Collins. Multivariate polynomial resultants (djvu,18 p.,250K,300dpi,en,T)
    * Corless, Gianni, Trager. Factorization of polynomial systems (ISSAC97) (djvu,8 p.,224K,300dpi,en,T)
    * Corless. Lecture notes on Groebner bases (ps.gz,6 p.,62K,en)
    * Czapor. Heuristic selection strategy for Groebner bases (ISSAC91) (djvu,10 p.,180K,300dpi,en,T)
    * Czichowski. Groebner bases and integration of rational functions [JSC 1995] (djvu,5 p.,94K,300dpi,en,T)
    * Faugere. New efficient algorithm for Groebner bases [JPAA 1999] (djvu,28 p.,397K,300dpi,en,T)
    * Fortuna, Gianni, Trager. Radical of polynomial ideals over arbitrary fields (ISSAC01) (djvu,5 p.,230K,300dpi,en,T)
    * Gerdt. Relation between Pommaret and Janet bases [CASC 2000] (djvu,16 p.,198K,300dpi,L,en,T)
    * Gianni, Trager. GCDs and factoring multivariate polynomials using Groebner bases (EUROCAL85) (djvu,4 p.,44K,300dpi,L,en,T)
    * Giovini et al. Selection strategies in Buchberger algorithm (ISSAC91) (djvu,6 p.,165K,300dpi,en,T)
    * Giovini et al. Sugar cube selection strategies for Buchberger algorithm (ISSAC91) (ps.gz,7 p.,53K,en)
    * Goebel, Maier. Remarks on comprehensive Groebner and SAGBI bases [CASC 2000] (djvu,14 p.,187K,300dpi,L,en,T)
    * Hemmecke. Loesung der Systemen mit kontinuerlichen Symmetrien (phd thesis) (pdf,67 p.,399K,de)
    * Hubert. General solution of ordinary differential equation (ISSAC96) (djvu,7 p.,170K,300dpi,en,T)
    * Kahoui. Elementary subresultants theory. JSC2003 (pdf,12 p.,133K,en)
    * LaScala. Buchberger algorithm for complexes (ISSAC94) (djvu,5 p.,130K,300dpi,en,T)
    * Lakshman. Complexity of Groebner basis of radical ideal [1990] (djvu,9 p.,201K,300dpi,en,T)
    * Lecerf. Resolution des systemes algebriques (phd these) (ps.gz,216 p.,587K,fr)
    * Mandache. Groebner bases computation and Gaussian elimination (phd thesis) (ps.gz,89 p.,165K,en)
    * Marche. Rewriting, Knuth-Bendix and Groebner bases computations (ps.gz,16 p.,54K,en)
    * Marinari et al. Groebner duality and multiplicities in polynomial systems (djvu,13 p.,307K,300dpi,en,T)
    * Marinari, Moeller, Mora. Groebner duality and multiplicities in polynomial systems (ISSAC95) (ps.gz,13 p.,94K,en)
    * Marinari, Moeller, Mora. Multiplicities in polynomial systems (TAMS96) (ps.gz,30 p.,136K,en)
    * Minimair. Resultants of composed polynomials [phd thesis, 2001] (ps.gz,148 p.,279K,en)
    * Mora T. Applaying Macaulay''s Trick to write Groebner basis [J.Appl.Alg, 2003] (ps.gz,13 p.,81K,en)
    * Mora T. Eagon, Northcott, Groebner [1998] (ps.gz,14 p.,68K,en)
    * Mora, Moeller, Traverso. Groebner bases using syzygies (ISSAC92) (ps.gz,9 p.,66K,en)
    * Mora, Rossi. Hilbert function for primary ideal 1995 (ps.gz,15 p.,72K,en)
    * Mora. Introduction to commutative and noncommutative Groebner bases [1994] (ps.gz,28 p.,124K,en)
    * Mora. Polynomial system solving survey 1994 (ps.gz,23 p.,91K,en)
    * Moses, Yun. The EZ polynomial GCD algorithm (djvu,8 p.,154K,300dpi,en,T)
    * Richardson D. Zero structure theorem for exp-polynomials (ISSAC93) (djvu,8 p.,156K,300dpi,en,T)
    * Saxena T. Variable elimination using resultants [Ph. D. thesis 1997] (ps.gz,179 p.,258K,en)
    * Szanto. Complexity of Wu-Ritt decomposition (djvu,11 p.,262K,300dpi,en,T)
    * Wang D. Prime decomposition of radicals of polynomial ideals [1998] (djvu,8 p.,162K,300dpi,en,T)
    * Windsteiger. Groebner bases and syzygy completion (master-thesis) (ps.gz,152 p.,203K,en)
    * Winkler, Buchberger et al. Algorithm 628. Groebner bases for polynomial ideals (djvu,13 p.,139K,300dpi,en,T)
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    Hình học đại số :
    Algebraic geometry
    * Introduction to rational points on plane curves (no chapter 5) (djvu,339 p.,3608K,300dpi,en,T)
    * Lecture Notes From The Summer Institute on Algebraic Geometry At Woods Hole [AMS, 1964] (djvu,60 p.,2090K,600dpi,en,T)
    * Modular forms of one variable (djvu,66 p.,1196K,300dpi,L,en,T)
    * Abbondandolo A., Majer P. Infinite-dimensional Grassmannians [2003] (djvu,27 p.,194K,300dpi,en,T)
    * Altman A., Kleiman S. Introduction to Grothendieck duality theory [Springer LNM146, 1970] (djvu,192 p.,1021K,150dpi,L,en,T)
    * Altman A., Kleiman S. Introduction to Grothendieck duality theory [Springer LNM146, 1970] (djvu,192 p.,689K,150dpi,L,en)
    * Angeniol B., Lejeune-Jalabert M. Calcul differentiel et classes caracteristiques en geometrie algebrique [Hermann, Paris, 1989] (djvu,134 p.,1106K,300dpi,fr,T,K)
    * Artin M. Algebraic spaces [Yale, 1971] (djvu,47 p.,280K,300dpi,en,K)
    * Artin M. Algebraic spaces [Yale, 1971] (djvu,47 p.,364K,300dpi,en,T,K)
    * Artin M. Algebraic spaces [Yale, 1971] (djvu,48 p.,274K,300dpi,L,en,T)
    * Artin M. Lectures on deformations of singularities [Tata Lectures on Mathematics and Physics 54, 1976] (djvu,136 p.,1571K,600dpi,L,en,T)
    * Artin M., Tate J. (eds.) Arithmetic and geometry II. Honorary to I. Shafarevich [Progr.Math.36, Birkhauser, 1983] (djvu,496 p.,8183K,600dpi,en,T,K)
    * Audin M. The topology of torus actions on symplectic manifolds [Birkhauser, 1991] (djvu,184 p.,1305K,300dpi,L,en,T)
    * Audin M. Torus actions on symplectic manifolds [2ed, Birkhauser, 2003] (3764321768,djvu,330 p.,3622K,600dpi,en,T,K)
    * Barth, Peters, Van de Ven. Compact complex surfaces [Springer, 1984] (3540121722,djvu,322 p.,3072K,300dpi,L,en,T)
    * Beauville A. Complex algebraic surfaces [CUP, 1996] (0521495105,djvu,146 p.,1222K,300dpi,L,en,T)
    * Beauville. (red.) Journees de Geometrie Algebrique d''Angers 1979 [Noordhoff, 1980] (djvu,338 p.,3167K,300dpi,L,fr,T)
    * Beilinson A., Bernstein J., Deligne P. Faisceaux pervers [Asterisque 100 1982] (djvu,178 p.,1854K,300dpi,L,fr,T)
    * Birkenhake C., Lange H. Complex abelian varieties [2ed., Springer, 2004] (djvu,645 p.,4384K,300dpi,en,T)
    * Birkenhake C., Lange H. Complex abelian varieties [2ed., Springer, 2004] (3540204881,djvu,645 p.,4459K,300dpi,en,T)
    * Birkenhake C., Lange H. Complex tori [Progr.Math.177, Springer, 1999] (djvu,264 p.,1994K,300dpi,en,T)
    * Bismut J.-M., Lebeau G. Complex immersions and Quillen metrics [IHES 74, p1, 1991] (djvu,298 p.,1847K,600dpi,en,T)
    * Bochnak J., Coste M., Roy M-F. Real algebraic geometry [Springer, 1998] (djvu,440 p.,6025K,300dpi,L,en,T)
    * Borel et al. Algebraic D-modules [AP, 1987] (0121177408,djvu,370 p.,2422K,300dpi,L,en,T)
    * Bousfield A., Kan D. Homotopy limits, completions and localizations [LNM304, Springer, 1972] (djvu,370 p.,3119K,300dpi,L,en,T)
    * Bump D. Algebraic geometry [WS, 1998] (9810235615,djvu,219 p.,1979K,300dpi,en,T)
    * Bump D., Cogdell J.W., et al. An introduction to the Langlands program [Birkhaeuser, 2004] (0817632115,djvu,293 p.,4646K,400dpi,en,T,C,K)
    * Cassels J.W.S. Lectures on elliptic curves [LMSST, 24, CUP, 1991] (0521415179,djvu,148 p.,761K,300dpi,L,en,T)
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    Lý thuyết nhóm ( Group theory ) :
    Group theory
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  9. mengmeng

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    Đại số tuyến tính : ( Linear Algebra )
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    Hình học Tô Pô :
    Geometry and topology
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