Algebra andanalysis

Problems and solutions by Guy ReneМЃ Lefort

Publisher: North-Holland Pub. Co in Amsterdam

Written in English
Published: Pages: 590 Downloads: 652
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Subjects:

  • Mathematics -- Problems, exercises, etc.

Edition Notes

Translation of Algébre et analyse; exercices.

Statement(by) G. Lefort. Translated by Scripta Technica, inc.
Classifications
LC ClassificationsQA43
The Physical Object
Paginationxii, 590 p. ;
Number of Pages590
ID Numbers
Open LibraryOL19582530M

Keeping in mind the unity of algebra, geometry and analysis in his approach, and writing practically for the student who needs to learn techniques, Professor Shilov has produced one of the best expositions on the subject. Because it contains an abundance of problems and examples, the book will be useful for self-study as well as for the classroom. Among nonstandard topics discussed in the book are the theory of Banach tensor products, basics of quantum functional analysis, and Borel operator calculus. General definitions and main results are supplemented with many examples and exercises. Prerequisites for the main part of the book include standard undergraduate courses in algebra and.

Algebra andanalysis by Guy ReneМЃ Lefort Download PDF EPUB FB2

As said, this book is an amusing, interesting, practical and clear introduction to important topics in algebra and analysis even for people who do not have a very strong background in prerequisites but are willing to think. I wish there would be more maths books written in Cited by: 1.

The book is divided into three parts: set theory (Chapter 1), algebra (Chapters 2–4), and analysis (Chapters 5–7). The first two chapters deal with the fundamental concepts of sets, functions, relations and equivalence relations, and algebraic structures. In the fields algebra and analysis this burden will now be reduced because in A Handbook of Terms they will find sufficient explanations of the terms and the symbolism that they are likely to come across in their university courses.

Rather than being like an alphabetical dictionary, the order and division of the sections correspond to the way Cited by: 9. The prerequisites are some knowledge of linear and multilinear algebra, the calculus of several variables, point-set topology and some acquaintance with the concept of a manifold and the topology of fibre bundles.

The book contains solved problems of varying degree of complexity and by: 4. Perhaps this book is more advanced since it aims as an intro to abstract algebra. This book is a useful supplement.

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Page 1 of 1 Start over Page 1 of by:   This text provides a self-contained introduction to Pure Mathematics, and bridges the gap between school and university work.

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We use only one theoretical concept from linear algebra, linear independence, and only one computational tool, the QR factorization; our approach to most applica-tions relies on only one method, least squares (or some extension).

In this sense. Algebra (from Arabic "al-jabr", literally meaning "reunion of broken parts") is one of the broad parts of mathematics, together with number theory, geometry and analysis. In its most general form, algebra is the study of mathematical symbols and the rules for manipulating these symbols; it is a unifying thread of almost all of mathematics.

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