Elements of Mathematics: General Topology, Pt.2

Science & Math

Nicolas Bourbaki

Mathematics

Addison-Wesley Educational Publishers, Inc.

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.

Elements of Mathematics: Lie Groups and Lie Algebras, Part 1 - Chapters 1-3 (Actualités Scientifiques et Industrielles)

Addison-Wesley Publishing Company

Commutative Algebra (Elements of Mathematics)

Addison-Wesley

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 (Elements of Mathematics)

Springer, Verlag

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.

Algebra II: Chapters 4-7 (Elements of Mathematics)

Paul M. Cohn

J. Howie

Springer Nature

Elements in the History of Mathematics offers a convenient and compact way of learning the history of several subfields of mathematics, including modern, 20th-century developments. Approx.

Elements of the History of Mathematics (Elements of Mathematics)

Elements d'histoire des mathematiques (Collection Histoire de la pensee - IV) (French Edition)

HERMANN

General Topology: Chapters 5–10

Springer

This softcover reprint of the 1974 English translation of the first three chapters of Bourbaki’s Algebre gives a thorough exposition of the fundamentals of general, linear, and multilinear algebra. The first chapter introduces the basic objects, such as groups and rings. The second chapter studies the properties of modules and linear maps, and the third chapter discusses algebras, especially tensor algebras.

Algebra I: Chapters 1-3

Reference

Foreign Language Study & Reference

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

See the best price to sell, buy, or rent books by Nicolas Bourbaki. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by Nicolas Bourbaki