Nicolas Bourbaki is the collective pseudonym under which a group of mathematicians produced a series of books presenting modern advanced mathematics. Their goal was to found all of mathematics on set theory, striving for rigor and generality. The group's work led to the discovery of several concepts and terminologies that continue to be discussed and influence the mathematical community.
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.
The English translation presents a thoroughly revised version of the eighth chapter from the 1958 edition of Algebra, part of the foundational work Elements of Mathematics. It offers updated insights and interpretations, making complex mathematical concepts more accessible to modern readers. This edition aims to enhance understanding and appreciation of algebra's principles and applications.
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