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1. |  Matrix Analysis, Second Edition By: Roger A. Horn; Charles R. Johnson Publisher: Cambridge University Press Publication Date: 31-OCT-2012 Insert Date: 04-JUN-2013 Slots: 1.0 | Overview: Matrix Analysis, Second Edition
Linear algebra and matrix theory are fundamental tools in mathematical and physical science, as well as fertile fields for research. This new edition of this acclaimed text presents results of both classic and recent matrix analyses using canonical forms as a unifying theme and demonstrates their importance in a variety of applications. This thoroughly revised and updated second edition is a text for a second course on linear algebra and has more than 1,100 problems and exercises, new sections on the singular value and CS decompositions and the Weyr canonical form, expanded treatments of...
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2. |  A Double Hall Algebra Approach to Affine Quantum Schur-Weyl Theory By: Bangming Deng; Jie Du; Qiang Fu Publisher: Cambridge University Press Publication Date: 31-DEC-2012 Insert Date: 04-JUN-2013 Slots: 1.0 | Overview: A Double Hall Algebra Approach to Affine Quantum Schur-Weyl Theory
The theory of Schur–Weyl duality has had a profound influence over many areas of algebra and combinatorics. This text is original in two respects: it discusses affine q-Schur algebras and presents an algebraic, as opposed to geometric, approach to affine quantum Schur–Weyl theory. To begin, various algebraic structures are discussed, including double Ringel–Hall algebras of cyclic quivers and their quantum loop algebra interpretation. The rest of the book investigates the affine quantum Schur–Weyl duality on three levels. This includes the affine quantum Schur–Weyl reciprocity, the...
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3. |  Local Cohomology, Second Edition By: M. P. Brodmann; R. Y. Sharp Publisher: Cambridge University Press Publication Date: 30-NOV-2012 Insert Date: 04-JUN-2013 Slots: 1.0 | Overview: Local Cohomology, Second Edition
This second edition of a successful graduate text provides a careful and detailed algebraic introduction to Grothendieck's local cohomology theory, including in multi-graded situations, and provides many illustrations of the theory in commutative algebra and in the geometry of quasi-affine and quasi-projective varieties. Topics covered include Serre's Affineness Criterion, the Lichtenbaum–Hartshorne Vanishing Theorem, Grothendieck's Finiteness Theorem and Faltings' Annihilator Theorem, local duality and canonical modules, the Fulton–Hansen Connectedness Theorem for projective varieties,...
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4. |  Algebra I: A Basic Course in Abstract Algebra By: Rajendra Kumar Sharma; Sudesh Kumari Shah; Asha Gauri Shankar Publisher: Pearson Education India Publication Date: 30-JUN-2011 Insert Date: 14-MAY-2013 Slots: 1.0 | Overview: Algebra I: A Basic Course in Abstract Algebra
Algebra is a compulsory paper offered to the undergraduate students of Mathematics. The majority of universities offer the subject as a two /three year paper or in two/three semesters. Algebra I: A Basic Course in Abstract Algebra covers the topic required for a basic course.
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5. |  By: U. M. Swamy; A. V. S. N. Murthy Publisher: Pearson Education India Publication Date: 02-FEB-2012 Insert Date: 14-MAY-2013 Slots: 1.0 | Overview: Algebra: Abstract and Modern
Algebra: Abstract and Modern, spread across 16 chapters, introduces the reader to the preliminaries of algebra and then explains topics like group theory and field theory in depth. It also features a blend of numerous challenging exercises and examples that further enhance each chapter. Covering all the necessary topics on the subject, this text is an ideal text book for an undergraduate course on mathematics.
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6. |  By: T. W. Körner Publisher: Cambridge University Press Publication Date: 31-DEC-2012 Insert Date: 25-APR-2013 Slots: 1.0 | Overview: Vectors, Pure and Applied
Many books in linear algebra focus purely on getting students through exams, but this text explains both the how and the why of linear algebra and enables students to begin thinking like mathematicians. The author demonstrates how different topics (geometry, abstract algebra, numerical analysis, physics) make use of vectors in different ways and how these ways are connected, preparing students for further work in these areas. The book is packed with hundreds of exercises ranging from the routine to the challenging. Sketch solutions of the easier exercises are available online.
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7. |  Representations of Lie Algebras By: Anthony Henderson Publisher: Cambridge University Press Publication Date: 16-AUG-2012 Insert Date: 19-APR-2013 Slots: 1.0 | Overview: Representations of Lie Algebras
This bold and refreshing approach to Lie algebras assumes only modest prerequisites (linear algebra up to the Jordan canonical form and a basic familiarity with groups and rings), yet it reaches a major result in representation theory: the highest-weight classification of irreducible modules of the general linear Lie algebra. The author's exposition is focused on this goal rather than aiming at the widest generality and emphasis is placed on explicit calculations with bases and matrices. The book begins with a motivating chapter explaining the context and relevance of Lie algebras and...
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8. |  Introduction to Abstract Algebra, Solutions Manual, 4th Edition By: W. Keith Nicholson Publisher: John Wiley & Sons Publication Date: 15-MAY-2012 Insert Date: 27-FEB-2013 Slots: 1.0 | Overview: Introduction to Abstract Algebra, Solutions Manual, 4th Edition
Praise for the Third Edition
". . . an expository masterpiece of the highest didactic value that has gained additional attractivity through the various improvements . . ."—Zentralblatt MATH
The Fourth Edition of Introduction to Abstract Algebra continues to provide an accessible approach to the basic structures of abstract algebra: groups, rings, and fields. The book's unique presentation helps readers advance to abstract theory by presenting concrete examples of induction, number theory, integers modulo n, and permutations before the abstract structures are defined. Readers can...
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9. |  Introduction to Abstract Algebra, 4th Edition By: W. Keith Nicholson Publisher: John Wiley & Sons Publication Date: 20-MAR-2012 Insert Date: 27-FEB-2013 Slots: 1.0 | Overview: Introduction to Abstract Algebra, 4th Edition
Praise for the Third Edition
". . . an expository masterpiece of the highest didactic value that has gained additional attractivity through the various improvements . . ."—Zentralblatt MATH
The Fourth Edition of Introduction to Abstract Algebra continues to provide an accessible approach to the basic structures of abstract algebra: groups, rings, and fields. The book's unique presentation helps readers advance to abstract theory by presenting concrete examples of induction, number theory, integers modulo n, and permutations before the abstract structures are defined. Readers can...
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10. |  Generic Inference: A Unifying Theory for Automated Reasoning Publisher: John Wiley & Sons Publication Date: 24-MAY-2011 Insert Date: 05-JAN-2013 Slots: 1.0 | Overview: Generic Inference: A Unifying Theory for Automated Reasoning
This book provides a rigorous algebraic study of the most popular inference formalisms with a special focus on their wide application area, showing that all these tasks can be performed by a single generic inference algorithm. Written by the leading international authority on the topic, it includes an algebraic perspective (study of the valuation algebra framework), an algorithmic perspective (study of the generic inference schemes) and a "practical" perspective (formalisms and applications). Researchers in a number of fields including artificial intelligence, operational research,...
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11. |  The Manga Guide to Linear Algebra By: Shin Takahashi; Iroha Inoue; Trend-Pro Co., Ltd. Publisher: No Starch Press Publication Date: 26-MAY-2012 Insert Date: 06-JUN-2012 Slots: 1.0 | Overview: The Manga Guide to Linear Algebra Follow along in The Manga Guide to Linear Algebra as Reiji takes Misa from the absolute basics of this tricky subject through mind-bending operations like performing linear transformations, calculating determinants, and finding eigenvectors and eigenvalues. With memorable examples like miniature golf games and karate tournaments, Reiji transforms abstract concepts into something concrete, understandable, and even fun....
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12. |  By: Calixto Badesa Publisher: Princeton University Press Publication Date: 05-JAN-2004 Insert Date: 03-OCT-2011 Slots: 1.0 | Overview: The Birth of Model Theory Löwenheim's theorem reflects a critical point in the history of mathematical logic, for it marks the birth of model theory--that is, the part of logic that concerns the relationship between formal theories and their models. However, while the original proofs of other, comparably significant theorems are well understood, this is not the case with Löwenheim's theorem. For example, the very result that scholars attribute to Löwenheim today is not the one that Skolem--a logician raised in the algebraic tradition, like Löwenheim--appears to have attributed to him. In The Birth of Model Theory ,...
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13. |  General Theory of Algebraic Equations By: Etienne Bézout; Eric Feron Publisher: Princeton University Press Publication Date: 13-MAR-2006 Insert Date: 03-OCT-2011 Slots: 1.0 | Overview: General Theory of Algebraic Equations This book provides the first English translation of Bezout's masterpiece, the General Theory of Algebraic Equations . It follows, by almost two hundred years, the English translation of his famous mathematics textbooks. Here, Bézout presents his approach to solving systems of polynomial equations in several variables and in great detail. He introduces the revolutionary notion of the "polynomial multiplier," which greatly simplifies the problem of variable elimination by reducing it to a system of linear equations. The major result presented in this work, now known as "Bézout's theorem," is...
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14. |  Quadrangular Algebras. (MN-46): By: Richard M. Weiss Publisher: Princeton University Press Publication Date: 19-SEP-2005 Insert Date: 03-OCT-2011 Slots: 1.0 | Overview: Quadrangular Algebras. (MN-46): This book introduces a new class of non-associative algebras related to certain exceptional algebraic groups and their associated buildings. Richard Weiss develops a theory of these "quadrangular algebras" that opens the first purely algebraic approach to the exceptional Moufang quadrangles. These quadrangles include both those that arise as the spherical buildings associated to groups of type E 6 , E 7 , and E 8 as well as the exotic quadrangles "of type F4" discovered earlier by Weiss. Based on their relationship to exceptional algebraic groups, quadrangular algebras belong in a series...
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15. |  By: Debra Anne Ross Publisher: Course Technology PTR Publication Date: 01-MAY-2009 Insert Date: 05-JAN-2010 Slots: 1.0 | Overview: Master Math: Algebra Get ready to master the principles and operations of algebra! Master Math: Algebra is a comprehensive reference guide that explains and clarifies algebraic principles in a simple, easy-to-follow style and format. Beginning with the most basic fundamental topics and progressing through to the more advanced topics that will help prepare you for pre-calculus and calculus, the book helps clarify algebra using step-by-step procedures and solutions, along with examples and applications. A complete table of contents and a comprehensive index enable you to quickly find specific topics, and the...
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16. |  By: Tracey Pilone; Dan Pilone Publisher: O'Reilly Media, Inc. Publication Date: 26-DEC-2008 Insert Date: 30-OCT-2008 Slots: 1.0 | Overview: Head First Algebra
Having trouble understanding algebra? Do algebraic concepts,
equations, and logic just make your head spin? We have great news:
Head First Algebra is designed for you. Full of engaging
stories and practical, real-world explanations, this book will help
you learn everything from natural numbers and exponents to solving
systems of equations and graphing polynomials.
Along the way, you'll go beyond solving hundreds of repetitive
problems, and actually use what you learn to make real-life
decisions. Does it make sense to buy two years of insurance on a
car that depreciates as soon as you drive...
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