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Difference Algebra

2008-04-19 Mathematics
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Release : 2008-04-19
Genre : Mathematics
Kind : eBook
Book Rating : 472/5 ( reviews)

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Book Synopsis Difference Algebra by : Alexander Levin

Download or read book Difference Algebra written by Alexander Levin. This book was released on 2008-04-19. Available in PDF, EPUB and Kindle. Book excerpt: Difference algebra grew out of the study of algebraic difference equations with coefficients from functional fields. The first stage of this development of the theory is associated with its founder, J.F. Ritt (1893-1951), and R. Cohn, whose book Difference Algebra (1965) remained the only fundamental monograph on the subject for many years. Nowadays, difference algebra has overgrown the frame of the theory of ordinary algebraic difference equations and appears as a rich theory with applications to the study of equations in finite differences, functional equations, differential equations with delay, algebraic structures with operators, group and semigroup rings. The monograph is intended for graduate students and researchers in difference and differential algebra, commutative algebra, ring theory, and algebraic geometry. The book is self-contained; it requires no prerequisites other than the knowledge of basic algebraic concepts and a mathematical maturity of an advanced undergraduate.

Algebra: Chapter 0

2021-11-09 Education
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Release : 2021-11-09
Genre : Education
Kind : eBook
Book Rating : 71X/5 ( reviews)

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Book Synopsis Algebra: Chapter 0 by : Paolo Aluffi

Download or read book Algebra: Chapter 0 written by Paolo Aluffi. This book was released on 2021-11-09. Available in PDF, EPUB and Kindle. Book excerpt: Algebra: Chapter 0 is a self-contained introduction to the main topics of algebra, suitable for a first sequence on the subject at the beginning graduate or upper undergraduate level. The primary distinguishing feature of the book, compared to standard textbooks in algebra, is the early introduction of categories, used as a unifying theme in the presentation of the main topics. A second feature consists of an emphasis on homological algebra: basic notions on complexes are presented as soon as modules have been introduced, and an extensive last chapter on homological algebra can form the basis for a follow-up introductory course on the subject. Approximately 1,000 exercises both provide adequate practice to consolidate the understanding of the main body of the text and offer the opportunity to explore many other topics, including applications to number theory and algebraic geometry. This will allow instructors to adapt the textbook to their specific choice of topics and provide the independent reader with a richer exposure to algebra. Many exercises include substantial hints, and navigation of the topics is facilitated by an extensive index and by hundreds of cross-references.

Difference Algebra

1965 Difference Algebra
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Release : 1965
Genre : Difference Algebra
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Book Synopsis Difference Algebra by : Richard M. Cohn

Download or read book Difference Algebra written by Richard M. Cohn. This book was released on 1965. Available in PDF, EPUB and Kindle. Book excerpt:

Algebra

1999-01-01 Mathematics
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Release : 1999-01-01
Genre : Mathematics
Kind : eBook
Book Rating : 940/5 ( reviews)

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Book Synopsis Algebra by : I. B. S. Passi

Download or read book Algebra written by I. B. S. Passi. This book was released on 1999-01-01. Available in PDF, EPUB and Kindle. Book excerpt: Contributed articles.

Handbook of Algebra

2006-05-30 Mathematics
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Release : 2006-05-30
Genre : Mathematics
Kind : eBook
Book Rating : 499/5 ( reviews)

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Book Synopsis Handbook of Algebra by : M. Hazewinkel

Download or read book Handbook of Algebra written by M. Hazewinkel. This book was released on 2006-05-30. Available in PDF, EPUB and Kindle. Book excerpt: Algebra, as we know it today, consists of many different ideas, concepts and results. A reasonable estimate of the number of these different items would be somewhere between 50,000 and 200,000. Many of these have been named and many more could (and perhaps should) have a name or a convenient designation. Even the nonspecialist is likely to encounter most of these, either somewhere in the literature, disguised as a definition or a theorem or to hear about them and feel the need for more information. If this happens, one should be able to find enough information in this Handbook to judge if it is worthwhile to pursue the quest. In addition to the primary information given in the Handbook, there are references to relevant articles, books or lecture notes to help the reader. An excellent index has been included which is extensive and not limited to definitions, theorems etc. The Handbook of Algebra will publish articles as they are received and thus the reader will find in this third volume articles from twelve different sections. The advantages of this scheme are two-fold: accepted articles will be published quickly and the outline of the Handbook can be allowed to evolve as the various volumes are published. A particularly important function of the Handbook is to provide professional mathematicians working in an area other than their own with sufficient information on the topic in question if and when it is needed. - Thorough and practical source for information - Provides in-depth coverage of new topics in algebra - Includes references to relevant articles, books and lecture notes

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