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1. Theory of Sets by Nicolas Bourbaki | |
Paperback: 414
Pages
(2004-11-23)
list price: US$74.95 -- used & new: US$54.91 (price subject to change: see help) Asin: 3540225250 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description This is a softcover reprint of the English translation of 1968 of N. Bourbaki's, ThTorie des Ensembles (XXXXX).
Customer Reviews (4)
A Comparison
A Wonderful Book
Elements of Mathematics. Theory of Sets
Euclid in the XX century |
2. General Topology: Chapters 1-4 by Nicolas Bourbaki | |
Paperback: 452
Pages
(1998-09-18)
list price: US$74.95 -- used & new: US$55.14 (price subject to change: see help) Asin: 3540642412 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description This is the softcover reprint of the 1971 English translation of the first four chapters of Bourbaki’s Topologie Generale. It gives all basics of the subject, starting from definitions. Important classes of topological spaces are studied, and uniform structures are introduced and applied to topological groups. In addition, real numbers are constructed and their properties established. Customer Reviews (2)
a solid introduction
the book that the experts study i extend my thanks to mr. adamson for the recommendation.with the plethora of choices in study materials and a limited budget, i needed to narrow my scope and decide which text would best serve me. thanks again:-) ... Read more |
3. Lie Groups and Lie Algebras: Chapters 7-9 (Elements of Mathematics) by Nicolas Bourbaki | |
Paperback: 434
Pages
(2008-11-17)
list price: US$79.95 -- used & new: US$55.07 (price subject to change: see help) Asin: 354068851X Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description This is the softcover reprint of the English translation of Bourbaki's text Groupes et Algèbres de Lie, Chapters 7 to 9. It completes the previously published translations of Chapters 1 to 3 (3-540-64242-0) and 4 to 6 (978-3-540-69171-6) by covering the structure and representation theory of semi-simple Lie algebras and compact Lie groups. Chapter 7 deals with Cartan subalgebras of Lie algebras, regular elements and conjugacy theorems. Chapter 8 begins with the structure of split semi-simple Lie algebras and their root systems. It goes on to describe the finite-dimensional modules for such algebras, including the character formula of Hermann Weyl. It concludes with the theory of Chevalley orders. Chapter 9 is devoted to the theory of compact Lie groups, beginning with a discussion of their maximal tori, root systems and Weyl groups. It goes on to describe the representation theory of compact Lie groups, including the application of integration to establish Weyl's formula in this context. The chapter concludes with a discussion of the actions of compact Lie groups on manifolds. The nine chapters together form the most comprehensive text available on the theory of Lie groups and Lie algebras. |
4. Integration II: Chapters 7-9 (Elements of Mathematics) by Nicolas Bourbaki | |
Hardcover: 326
Pages
(2004-11-10)
list price: US$149.00 -- used & new: US$108.39 (price subject to change: see help) Asin: 3540205853 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Intégration is the sixth and last of the Books that form the core of the Bourbaki series; it draws abundantly on the preceding five Books, especially General Topology and Topological Vector Spaces, making it a culmination of the core six. The power of the tool thus fashioned is strikingly displayed in Chapter II of the author's Théories Spectrales [MR 35 #4725], an exposition, in a mere 38 pages, of abstract harmonic analysis and the structure of locally compact abelian groups. The first volume of the English translation comprises Chapters 1-6; the present volume completes the translation with the remaining Chapters 7-9. Chapters 1-5 received very substantial revisions in a second edition, including changes to some fundamental definitions. Chapters 6-8 are based on the first editions of Chs. 1-5. The English edition has given the author the opportunity to correct misprints, update references, clarify the concordance of Chapter 6 with the second editions of Chapters 1-5, and revise the definition of a key concept in Chapter 6 (measurable equivalence relations). |
5. Functions of a Real Variable by Nicolas Bourbaki | |
Hardcover: 350
Pages
(2003-11-05)
list price: US$149.00 -- used & new: US$118.08 (price subject to change: see help) Asin: 3540653406 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description |
6. Elements of the History of Mathematics by Nicolas Bourbaki | |
Paperback: 301
Pages
(1998-12-04)
list price: US$74.95 -- used & new: US$50.00 (price subject to change: see help) Asin: 3540647678 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (1)
Good source, but rather incomplete. Eventhough theBourbaki group has made a great effort to synthesize and standarize a lotof branches of modern mathematics the actual product of their work (theElements of Mathematics, the Fascicules of Results, etc.) may well becomeobsolete and forgotten because of their limited perspective. Nevertheless,the book contains some useful data that will prove valuable to thoseinterested in mathematics' history, above all, the first essay on thefoundations of mathematics. Contents: Foundations of Mathematics, Logic,Set Theory; Notation, Combinatorial Analysis; The Evolution of Algebra;Linear Algebra and Multilinear Algebra; Polynomials and Commutative Fields;Divisibility, Ordered Fields; Commutative Algebra, Algebraic Number Theory;Non-Commutative Algebra; Quadratic Forms, Elementary Geometry; TopologicalSpaces; Uniform Spaces; Real Numbers; Exponentials and Logarithms;n-Dimensional Spaces; Complex Numbers, Measurement of Angles; MetricSpaces; Infinitesimal Calculus; Asymptotic Expansions; The Gamma Function;Function Spaces; Topological Vector Spaces; Integration in Locally CompactSpaces; Haar Measure, Convolution; Integration in Non-Locally CompactSpaces; Lie Groups and Lie Algebras; Groups Generated by Reflections; RootSystems. Extensive references (not common in Bourbaki writings); nicesoftbound. ... Read more |
7. Commutative Algebra: Chapters 1-7 by Nicolas Bourbaki | |
Paperback: 656
Pages
(1998-09-18)
list price: US$74.95 -- used & new: US$50.59 (price subject to change: see help) Asin: 3540642390 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (1)
the next step |
8. Integration 1: Chapters 1-6. (Elements of Mathematics) (Vol 1) by Nicolas Bourbaki | |
Hardcover: 472
Pages
(2003-12-05)
list price: US$149.00 -- used & new: US$116.18 (price subject to change: see help) Asin: 3540411291 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description The present volume comprises Chapters 1-6 in English translation (a second volume will contain the remaining Chapters 7-9). The individual fascicles of the original French edition have been extensively reviewed [Chs. 1--4, MR 14, 960, 2e édn. MR 36 #2763; Ch. 5, MR 18, 881, 2e edn. MR 35 #322; Ch.6, MR 23 #A2033; Chs. 7-8, MR31 #3539; Ch. 9, MR 43 #2183]. Chapters 1-5 received very substantial revisions in a second edition, including changes to some fundamental definitions. Chapters 6-8 are based on the first editions of Chs. 1-5. The English edition has given the author the opportunity to correct misprints, update references, clarify the concordance of Chapter 6 with the second editions of Chapters 1-5, and revise the definition of a key concept in Chapter 6 (measurable equivalence relations). |
9. Lie Groups and Lie Algebras: Chapters 1-3 by Nicolas Bourbaki | |
Paperback: 450
Pages
(1998-09-18)
list price: US$74.95 -- used & new: US$59.95 (price subject to change: see help) Asin: 3540642420 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (1)
great as references, and.. |
10. General Topology: Chapters 5-10 by N. Bourbaki | |
Paperback: 363
Pages
(1998-09-18)
list price: US$74.95 -- used & new: US$48.99 (price subject to change: see help) Asin: 3540645632 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description |
11. Bourbaki: A Secret Society of Mathematicians by Maurice Mashaal | |
Paperback: 260
Pages
(2006-06-01)
list price: US$29.00 -- used & new: US$25.89 (price subject to change: see help) Asin: 0821839675 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (3)
Balanced overview of rebarbative biographees
Despite Obvious Flaws, it's a colorful book, providing a clear look at rather common mathematical values and beliefs
Interesting for fans of Bourbaki's texts |
12. Algebra I: Chapters 1-3 (Volume 0) by Nicolas Bourbaki | |
Paperback: 710
Pages
(1998-09-18)
list price: US$74.95 -- used & new: US$53.95 (price subject to change: see help) Asin: 3540642439 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (1)
Bourbaki - The Bible of Modern Math |
13. Lie Groups and Lie Algebras: Chapters 4-6 (Elements of Mathematics) by Nicolas Bourbaki | |
Paperback: 300
Pages
(2008-11-17)
list price: US$79.95 -- used & new: US$49.50 (price subject to change: see help) Asin: 3540691715 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description From the reviews of the French edition "This is a rich and useful volume. The material it treats has relevance well beyond the theory of Lie groups and algebras, ranging from the geometry of regular polytopes and paving problems to current work on finite simple groups having a (B,N)-pair structure, or "Tits systems". A historical note provides a survey of the contexts in which groups generated by reflections have arisen. A brief introduction includes almost the only other mention of Lie groups and algebras to be found in the volume. Thus the presentation here is really quite independent of Lie theory. The choice of such an approach makes for an elegant, self-contained treatment of some highly interesting mathematics, which can be read with profit and with relative ease by a very wide circle of readers (and with delight by many, if the reviewer is at all representative)." (G.B. Seligman in MathReviews) |
14. Elements of Mathematics: Chapters 1-5 by N. Bourbaki | |
Paperback: 366
Pages
(2002-12-16)
list price: US$149.00 -- used & new: US$104.00 (price subject to change: see help) Asin: 3540423389 Canada | United Kingdom | Germany | France | Japan | |
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15. Algebra II: Chapters 4-7 (Elements of Mathematics) (Chapters 4-7 Pt. 2) by Nicolas Bourbaki | |
Paperback: 461
Pages
(2003-07-29)
list price: US$74.95 -- used & new: US$44.96 (price subject to change: see help) Asin: 3540007067 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description This is a softcover reprint of the English translation of 1990 of the revised and expanded version of Bourbaki's textbook, Algèbre, Chapters 4 to 7 (1981). The English translation of the new and expanded version of Bourbaki's Algèbre, Chapters 4 to 7 completes Algebra, 1 to 3, by establishing the theories of commutative fields and modules over a principal ideal domain. Chapter 4 deals with polynomials, rational fractions and power series. A section on symmetric tensors and polynomial mappings between modules, and a final one on symmetric functions, have been added. Chapter 5 has been entirely rewritten. After the basic theory of extensions (prime fields, algebraic, algebraically closed, radical extension), separable algebraic extensions are investigated, giving way to a section on Galois theory. Galois theory is in turn applied to finite fields and abelian extensions. The chapter then proceeds to the study of general non-algebraic extensions which cannot usually be found in textbooks: p-bases, transcendental extensions, separability criterions, regular extensions. Chapter 6 treats ordered groups and fields and based on it is Chapter 7: modules over a p.i.d. studies of torsion modules, free modules, finite type modules, with applications to abelian groups and endomorphisms of vector spaces. Sections on semi-simple endomorphisms and Jordan decomposition have been added. Chapter IV: Polynomials and Rational Fractions Chapter V: Commutative Fields Chapter VI: Ordered Groups and Fields Chapter VII: Modules Over Principal Ideal Domains Customer Reviews (1)
The BEST of The BEST New Math Bible |
16. AlgÃ¨bre: Chapitre 10.AlgÃ¨bre homologique (Elements De Mathematique) (French Edition) by N. Bourbaki | |
Paperback: 216
Pages
(2006-12-06)
list price: US$59.95 -- used & new: US$24.85 (price subject to change: see help) Asin: 3540344926 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Les Ã‰lÃ©ments de mathÃ©matique de Nicolas Bourbaki ont pour objet une prÃ©sentation rigoureuse, systÃ©matique et sans prÃ©requis des mathÃ©matiques depuis leurs fondements. Ce dixiÃ¨me chapitre du Livre d AlgÃ¨bre, deuxiÃ¨me Livre du traitÃ©, pose les bases du calcul homologique. Ce volume est a Ã©tÃ© publiÃ© en 1980. |
17. The Bourbaki Gambit by Carl Djerassi | |
Paperback: 256
Pages
(1996-10-01)
list price: US$15.00 -- used & new: US$3.94 (price subject to change: see help) Asin: 0140254854 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (3)
Excellent premise, but not as well crafted as "Cantor's Dilemma"
Issues in science and mathathics: age, gender and originality
Djerassi did not win a nobel prize. |
18. AlgÃ¨bre: Chapitre 9 (Elements De Mathematique) (French Edition) by N. Bourbaki | |
Paperback: 213
Pages
(2006-12-11)
list price: US$59.95 -- used & new: US$35.01 (price subject to change: see help) Asin: 3540353380 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Formes sesquilinÃ©aires et formes quadratiques. Les Ã‰lÃ©ments de mathÃ©matique de Nicolas BOURBAKI ont pour objet une prÃ©sentation rigoureuse, systÃ©matique et sans prÃ©requis des mathÃ©matiques depuis leurs fondements. Ce neuviÃ¨me chapitre du Livre d AlgÃ¨bre, deuxiÃ¨me Livre du traitÃ©, est consacrÃ© aux formes quadratiques, symplectiques ou hermitiennes et aux groupes associÃ©s. Il contient Ã©galement une note historique. Ce volume est une rÃ©impression de l Ã©dition de 1959. |
19. AlgÃ¨bre commutative: Chapitre 10 (Elements De Mathematique) (French Edition) by N. Bourbaki | |
Paperback: 187
Pages
(2006-12-11)
list price: US$59.95 -- used & new: US$53.99 (price subject to change: see help) Asin: 3540343946 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Les Ã‰lÃ©ments de mathÃ©matique de Nicolas Bourbaki ont pour objet une prÃ©sentation rigoureuse, systÃ©matique et sans prÃ©requis des mathÃ©matiques depuis leurs fondements. Ce volume du Livre d AlgÃ¨bre commutative, septiÃ¨me Livre du traitÃ©, est la continuation des chapitres antÃ©rieurs. Il introduit notamment les notions de profondeur et de lissitÃ©, fondamentales en gÃ©ometrie algÃ©brique. Il se termine par l introduction des modules dualisants et de la dualitÃ© de Grothendieck. Ce volume est paru en 1998. |
20. Seminaire Bourbaki 1958 1959 11e Annee Fascicule by N Bourbaki | |
Paperback:
Pages
(1959)
Asin: B003VUL9YM Canada | United Kingdom | Germany | France | Japan | |
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