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Difference Algebra

Difference Algebra
Author: Alexander Levin
Publisher: Springer Science & Business Media
Total Pages: 528
Release: 2008-04-19
Genre: Mathematics
ISBN: 1402069472

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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.


Handbook of Algebra

Handbook of Algebra
Author: M. Hazewinkel
Publisher: Elsevier
Total Pages: 543
Release: 2006-05-30
Genre: Mathematics
ISBN: 0080462499

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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


Algebra: Chapter 0

Algebra: Chapter 0
Author: Paolo Aluffi
Publisher: American Mathematical Soc.
Total Pages: 713
Release: 2021-11-09
Genre: Education
ISBN: 147046571X

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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.


Algebra

Algebra
Author: I. B. S. Passi
Publisher: Springer
Total Pages: 246
Release: 1999-01-01
Genre: Mathematics
ISBN: 9380250940

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Contributed articles.


Difference Algebra

Difference Algebra
Author: Richard M. Cohn
Publisher:
Total Pages: 384
Release: 1965
Genre: Difference Algebra
ISBN:

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Geometric Algebra

Geometric Algebra
Author: Emil Artin
Publisher: Courier Dover Publications
Total Pages: 228
Release: 2016-01-20
Genre: Mathematics
ISBN: 048680920X

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This concise classic presents advanced undergraduates and graduate students in mathematics with an overview of geometric algebra. The text originated with lecture notes from a New York University course taught by Emil Artin, one of the preeminent mathematicians of the twentieth century. The Bulletin of the American Mathematical Society praised Geometric Algebra upon its initial publication, noting that "mathematicians will find on many pages ample evidence of the author's ability to penetrate a subject and to present material in a particularly elegant manner." Chapter 1 serves as reference, consisting of the proofs of certain isolated algebraic theorems. Subsequent chapters explore affine and projective geometry, symplectic and orthogonal geometry, the general linear group, and the structure of symplectic and orthogonal groups. The author offers suggestions for the use of this book, which concludes with a bibliography and index.


Algebra 2

Algebra 2
Author:
Publisher: McDougal Littel
Total Pages: 202
Release: 2001-09-14
Genre: Juvenile Nonfiction
ISBN: 9780618195695

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Elementary Algebra

Elementary Algebra
Author: Arthur Schultze
Publisher:
Total Pages: 482
Release: 1905
Genre: Algebra
ISBN:

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