N. Bourbaki's Books

Algebra I

Chapters 1-3

By: N. Bourbaki

Write a review Read reviews Take a Quiz Solve Book Puzzle

An exposition of the fundamentals of general, linear and multilinear algebra. The first chapter introduces the basic objects: groups, actions, rings, fields. The second chapter studies the properties of modules and linear maps, and the third investigatesalgebras, particularly tensor algebras.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

750

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3540642439

ISBN 13

9783540642435

Algebra II

Chapters 4 - 7

By: N. Bourbaki

Write a review Read reviews Take a Quiz Solve Book Puzzle

Algebra II

Chapters 4 - 7

By: N. Bourbaki

This is a softcover reprint of chapters four through seven of the 1990 English translation of the revised and expanded version of Bourbaki’s Algebre. Much material was added or revised for this edition, which thoroughly establishes the theories of commutative fields and modules over a principal ideal domain.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

457

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3642616984

ISBN 13

9783642616983

Theory of Sets

By: N. Bourbaki

Write a review Read reviews Take a Quiz Solve Book Puzzle

Theory of Sets

By: N. Bourbaki

This is a softcover reprint of the English translation of 1968 of N. Bourbaki's, Thorie des Ensembles (1970).

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

418

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3642593097

ISBN 13

9783642593093

Commutative Algebra

Chapters 1-7

By: N. Bourbaki

Write a review Read reviews Take a Quiz Solve Book Puzzle

Commutative Algebra

Chapters 1-7

By: N. Bourbaki

This is the softcover reprint of the English translation of 1972 (available from Springer since 1989) of the first 7 chapters of Bourbaki's 'Algèbre commutative'. It provides a very complete treatment of commutative algebra, enabling the reader to go further and study algebraic or arithmetic geometry. The first 3 chapters treat in succession the concepts of flatness, localization and completions (in the general setting of graduations and filtrations). Chapter 4 studies associated prime ideals and the primary decomposition. Chapter 5 deals with integers, integral closures and finitely generated algebras over a field (including the Nullstellensatz). Chapter 6 studies valuation (of any rank), and the last chapter focuses on divisors (Krull, Dedekind, or factorial domains) with a final section on modules over integrally closed Noetherian domains, not usually found in textbooks. Useful exercises appear at the ends of the chapters.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

654

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3540642390

ISBN 13

9783540642398

Elements of Mathematics Functions of a Real Variable

Elementary Theory

By: N. Bourbaki

Write a review Read reviews Take a Quiz Solve Book Puzzle

Elements of Mathematics Functions of a Real Variable

Elementary Theory

By: N. Bourbaki

This is an English translation of Bourbaki’s Fonctions d'une Variable Réelle. Coverage includes: functions allowed to take values in topological vector spaces, asymptotic expansions are treated on a filtered set equipped with a comparison scale, theorems on the dependence on parameters of differential equations are directly applicable to the study of flows of vector fields on differential manifolds, etc.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

338

Publisher

Springer

Published Date

ISBN 10

3540653406

ISBN 13

9783540653400

Elements of Mathematics Functions of a Real Variable

Elementary Theory

By: N. Bourbaki

Write a review Read reviews Take a Quiz Solve Book Puzzle

Elements of Mathematics Functions of a Real Variable

Elementary Theory

By: N. Bourbaki

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

338

Publisher

Springer

Published Date

ISBN 10

3642639321

ISBN 13

9783642639326

Topological Vector Spaces

Chapters 1–5

By: N. Bourbaki

Write a review Read reviews Take a Quiz Solve Book Puzzle

Topological Vector Spaces

Chapters 1–5

By: N. Bourbaki

This is a softcover reprint of the 1987 English translation of the second edition of Bourbaki's Espaces Vectoriels Topologiques. Much of the material has been rearranged, rewritten, or replaced by a more up-to-date exposition, and a good deal of new material has been incorporated in this book, reflecting decades of progress in the field.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

368

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3642617158

ISBN 13

9783642617157

Lie Groups and Lie Algebras

Chapters 4-6

By: N. Bourbaki

Write a review Read reviews Take a Quiz Solve Book Puzzle

Lie Groups and Lie Algebras

Chapters 4-6

By: N. Bourbaki

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’". --G.B. Seligman in MathReviews.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

316

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3540691715

ISBN 13

9783540691716

Lie Groups and Lie Algebras

Chapters 7-9

By: N. Bourbaki

Write a review Read reviews Take a Quiz Solve Book Puzzle

Lie Groups and Lie Algebras

Chapters 7-9

By: N. Bourbaki

This is the soft cover reprint of the English translation of Bourbaki's text Groupes et Algèbres de Lie, Chapters 7 to 9. It covers the structure and representation theory of semi-simple Lie algebras and compact Lie groups.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

452

Publisher

Springer Science & Business Media

Published Date

ISBN 10

354068851X

ISBN 13

9783540688518

General Topology

Chapters 1–4

By: N. Bourbaki

Write a review Read reviews Take a Quiz Solve Book Puzzle

General Topology

Chapters 1–4

By: N. Bourbaki

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.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

443

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3642617018

ISBN 13

9783642617010

Integration I

Chapters 1-6

By: N. Bourbaki

Write a review Read reviews Take a Quiz Solve Book Puzzle

Integration I

Chapters 1-6

By: N. Bourbaki

This is the sixth and last of the books that form the core of the Bourbaki series, comprising chapters 1-6 in English translation. One striking feature is its exposition of abstract harmonic analysis and the structure of locally compact Abelian groups. This English edition corrects misprints, updates references, and revises the definition of the concept of measurable equivalence relations.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

487

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3642593127

ISBN 13

9783642593123

Topological Vector Spaces

Chapters 1–5

By: N. Bourbaki

Write a review Read reviews Take a Quiz Solve Book Puzzle

Topological Vector Spaces

Chapters 1–5

By: N. Bourbaki

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

362

Publisher

Springer

Published Date

ISBN 10

3540423389

ISBN 13

9783540423386

General Topology

Chapters 5–10

By: N. Bourbaki

Write a review Read reviews Take a Quiz Solve Book Puzzle

General Topology

Chapters 5–10

By: N. Bourbaki

This is the softcover reprint of the 1974 English translation of the later chapters of Bourbaki’s Topologie Generale. Initial chapters study subgroups and quotients of R, real vector spaces and projective spaces, and additive groups Rn. Analogous properties are then studied for complex numbers. Later chapters illustrate the use of real numbers in general topology and discuss various topologies of function spaces and approximation of functions.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

372

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3540645632

ISBN 13

9783540645634

Algebra

Chapter 8

By: N. Bourbaki

Write a review Read reviews Take a Quiz Solve Book Puzzle

Algebra

Chapter 8

By: N. Bourbaki

This book is an English translation of an entirely revised version of the 1958 edition of the eighth chapter of the book Algebra, the second Book of the Elements of Mathematics. It is devoted to the study of certain classes of rings and of modules, in particular to the notions of Noetherian or Artinian modules and rings, as well as that of radical. This chapter studies Morita equivalence of module and algebras, it describes the structure of semisimple rings. Various Grothendieck groups are defined that play a universal role for module invariants.The chapter also presents two particular cases of algebras over a field. The theory of central simple algebras is discussed in detail; their classification involves the Brauer group, of which severaldescriptions are given. Finally, the chapter considers group algebras and applies the general theory to representations of finite groups. At the end of the volume, a historical note taken from the previous edition recounts the evolution of many of the developed notions.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

505

Publisher

Springer Nature

Published Date

ISBN 10

3031192931

ISBN 13

9783031192937

Théorie des ensembles

By: N. Bourbaki

Write a review Read reviews Take a Quiz Solve Book Puzzle

Théorie des ensembles

By: N. Bourbaki

Le Livre de Théorie des ensembles qui vient en tête du traité présente les fondements axiomatiques de la théorie des ensembles. Il comprend les chapitres : 1. Description de la mathématique formelle ; 1. Théorie des ensembles ; 2. Ensembles ordonnés. Cardinaux. 3. nombres entiers ; 4. Structures.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

349

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3540340351

ISBN 13

9783540340355

Book's by N. Bourbaki

Algebra I

Algebra I

Algebra II

Algebra II

Theory of Sets

Theory of Sets

Commutative Algebra

Commutative Algebra

Elements of Mathematics Functions of a Real Variable

Elements of Mathematics Functions of a Real Variable

Elements of Mathematics Functions of a Real Variable

Elements of Mathematics Functions of a Real Variable

Topological Vector Spaces

Topological Vector Spaces

Lie Groups and Lie Algebras

Lie Groups and Lie Algebras

Lie Groups and Lie Algebras

Lie Groups and Lie Algebras

General Topology

General Topology

Integration I

Integration I

Topological Vector Spaces

Topological Vector Spaces

General Topology

General Topology

Algebra

Algebra

Théorie des ensembles

Théorie des ensembles

Username

Password

Username

Password

Password again

Birthday

Email