algebra

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Algebra

Author : I.M. Gelfand
ISBN : 0817636773
Genre : Mathematics
File Size : 83. 92 MB
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This book is about algebra. This is a very old science and its gems have lost their charm for us through everyday use. We have tried in this book to refresh them for you. The main part of the book is made up of problems. The best way to deal with them is: Solve the problem by yourself - compare your solution with the solution in the book (if it exists) - go to the next problem. However, if you have difficulties solving a problem (and some of them are quite difficult), you may read the hint or start to read the solution. If there is no solution in the book for some problem, you may skip it (it is not heavily used in the sequel) and return to it later. The book is divided into sections devoted to different topics. Some of them are very short, others are rather long. Of course, you know arithmetic pretty well. However, we shall go through it once more, starting with easy things. 2 Exchange of terms in addition Let's add 3 and 5: 3+5=8. And now change the order: 5+3=8. We get the same result. Adding three apples to five apples is the same as adding five apples to three - apples do not disappear and we get eight of them in both cases. 3 Exchange of terms in multiplication Multiplication has a similar property. But let us first agree on notation.

Algebra

Author : Serge Lang
ISBN : 038795385X
Genre : Mathematics
File Size : 68. 95 MB
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This book is intended as a basic text for a one year course in algebra at the graduate level or as a useful reference for mathematicians and professionals who use higher-level algebra. This book successfully addresses all of the basic concepts of algebra. For the new edition, the author has added exercises and made numerous corrections to the text. From MathSciNet's review of the first edition: "The author has an impressive knack for presenting the important and interesting ideas of algebra in just the "right" way, and he never gets bogged down in the dry formalism which pervades some parts of algebra."

Algebra I

Author : N. Bourbaki
ISBN : 3540642439
Genre : Mathematics
File Size : 21. 87 MB
Format : PDF
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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

Author : Saunders Mac Lane
ISBN : 9780821816462
Genre : Mathematics
File Size : 86. 10 MB
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This book presents modern algebra from first principles and is accessible to undergraduates or graduates. It combines standard materials and necessary algebraic manipulations with general concepts that clarify meaning and importance. This conceptual approach to algebra starts with a description of algebraic structures by means of axioms chosen to suit the examples, for instance, axioms for groups, rings, fields, lattices, and vector spaces. This axiomatic approach--emphasized by Hilbert and developed in Germany by Noether, Artin, Van der Waerden, et al., in the 1920s--was popularized for the graduate level in the 1940s and 1950s to some degree by the authors' publication of A Survey of Modern Algebra. The present book presents the developments from that time to the first printing of this book. This third edition includes corrections made by the authors.

Pre Algebra And Algebra

Author : Rebecca Wingard-Nelson
ISBN : 0766037827
Genre : Juvenile Nonfiction
File Size : 71. 22 MB
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"Re-inforce in-class algebra and pre-algebra skills such as rational numbers, absolute values, and problems with inequalities"--

Algebra From A To Z

Author : A. W. Goodman
ISBN : 9810249802
Genre : Mathematics
File Size : 52. 47 MB
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Explains algebra from basic concepts to college-level skills.

Algebra And Pre Algebra

Author : Rebecca Wingard-Nelson
ISBN : 0766028798
Genre : Juvenile Nonfiction
File Size : 45. 33 MB
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"Presents a step-by-step guide to understanding pre-algebra and algebra"--Provided by publisher.

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