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

Elements of Mathematics: Theory of Sets

Business & Money

Bourbaki, Nicolas

Economics

Addison-Wesley Publishing Comp

This is the softcover reprint of the English translation of 1974 (available from Springer since 1989) of the first 3 chapters of Bourbaki's 'Algèbre'. It gives a thorough 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, especially with respect to the tensor product and duality constructions. The third chapter investigates algebras, in particular tensor algebras. Determinants, norms, traces and derivations are also studied.

Algebra (Actualités scientifiques et industrielles)

Science & Math

Mathematics

Addison-Wesley Pub., Co

This is the softcover reprint of the 1975 English translation of the first three chapters of Bourbaki’s Groupes et algebres de Lie. The first chapter describes the theory of Lie algebras, their deviations, representations, and enveloping algebras. Chapter two introduces free Lie algebras in order to discuss the exponential, logarithmic and the Hausdorff series. Chapter three deals with the theory of Lie groups over R and C ultrametric fields.

Lie Groups and Lie Algebras: Chapters 1-3 (Elements of Mathematics)

Springer, Verlag

Bourbaki Library of Congress Catalog #66-25377 Printed in France 1966

Elements of Mathematics, General Topology, Part 1

Hermann/Addison-Wesley

If is an experimental novel of ideas. You, the reader, are the nameless protagonist, a young dreamer from northern California. At the end of each chapter, you must make a pivotal decision. These choices shape your identity as the plot and literary form of the novel swerve toward twenty-two possible endings.

Literature & Fiction

Literary

Livingston Pr

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.

Commutative Algebra: Chapters 1-7

Springer

This is the softcover reprint of the English translation of 1971 (available from Springer since 1989) of the first 4 chapters of Bourbaki's Topologie générale. It gives all the basics of the subject, starting from definitions. Important classes of topological spaces are studied, uniform structures are introduced and applied to topological groups. Real numbers are constructed and their properties established. Part II, comprising the later chapters, Ch. 5-10, is also available in English in softcover.

General Topology: Chapters 1-4

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