The Elements Of Algebra
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Elements Of Algebra
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Author : Leonhard Euler
language : en
Publisher:
Release Date : 1810
Elements Of Algebra written by Leonhard Euler and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1810 with Algebra categories.
Elements Of Algebra
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Author : Leonhard Euler
language : en
Publisher:
Release Date : 1840
Elements Of Algebra written by Leonhard Euler and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1840 with Algebra categories.
Elements Of Number Theory
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Author : John Stillwell
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-11-12
Elements Of Number Theory written by John Stillwell and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-11-12 with Mathematics categories.
This book is intended to complement my Elements oi Algebra, and it is similarly motivated by the problem of solving polynomial equations. However, it is independent of the algebra book, and probably easier. In Elements oi Algebra we sought solution by radicals, and this led to the concepts of fields and groups and their fusion in the celebrated theory of Galois. In the present book we seek integer solutions, and this leads to the concepts of rings and ideals which merge in the equally celebrated theory of ideals due to Kummer and Dedekind. Solving equations in integers is the central problem of number theory, so this book is truly a number theory book, with most of the results found in standard number theory courses. However, numbers are best understood through their algebraic structure, and the necessary algebraic concepts rings and ideals-have no better motivation than number theory. The first nontrivial examples of rings appear in the number theory of Euler and Gauss. The concept of ideal-today as routine in ring the ory as the concept of normal subgroup is in group theory-also emerged from number theory, and in quite heroic fashion. Faced with failure of unique prime factorization in the arithmetic of certain generalized "inte gers" , Kummer created in the 1840s a new kind of number to overcome the difficulty. He called them "ideal numbers" because he did not know exactly what they were, though he knew how they behaved.
Elements Of Linear Algebra
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Author : P.M. Cohn
language : en
Publisher: CRC Press
Release Date : 1994-07-01
Elements Of Linear Algebra written by P.M. Cohn and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-07-01 with Mathematics categories.
This volume presents a thorough discussion of systems of linear equations and their solutions. Vectors and matrices are introduced as required and an account of determinants is given. Great emphasis has been placed on keeping the presentation as simple as possible, with many illustrative examples. While all mathematical assertions are proved, the student is led to view the mathematical content intuitively, as an aid to understanding. The text treats the coordinate geometry of lines, planes and quadrics, provides a natural application for linear algebra and at the same time furnished a geometrical interpretation to illustrate the algebraic concepts.
Elements Of Abstract Algebra
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Author : Allan Clark
language : en
Publisher: Courier Corporation
Release Date : 2012-07-06
Elements Of Abstract Algebra written by Allan Clark and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-07-06 with Mathematics categories.
Lucid coverage of the major theories of abstract algebra, with helpful illustrations and exercises included throughout. Unabridged, corrected republication of the work originally published 1971. Bibliography. Index. Includes 24 tables and figures.
Elements Of Algebra And Algebraic Computing
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Author : John D. Lipson
language : en
Publisher: Addison Wesley Publishing Company
Release Date : 1981
Elements Of Algebra And Algebraic Computing written by John D. Lipson and has been published by Addison Wesley Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with Mathematics categories.
Elements Of Modern Algebra International Edition
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Author : Linda Gilbert
language : en
Publisher: Cengage Learning
Release Date : 2008-11-01
Elements Of Modern Algebra International Edition written by Linda Gilbert and has been published by Cengage Learning this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-11-01 with Algebra, Abstract categories.
ELEMENTS OF MODERN ALGEBRA, 7e, INTERNATIONAL EDITION with its user-friendly format, provides you with the tools you need to get succeed in abstract algebra and develop mathematical maturity as a bridge to higher-level mathematics courses.. Strategy boxes give you guidance and explanations about techniques and enable you to become more proficient at constructing proofs. A summary of key words and phrases at the end of each chapter help you master the material. A reference section, symbolic marginal notes, an appendix, and numerous examples help you develop your problem solving skills.
Elements Of Algebra
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Author : John Stillwell
language : en
Publisher: Springer Science & Business Media
Release Date : 2001-07-20
Elements Of Algebra written by John Stillwell and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-07-20 with Mathematics categories.
Algebra is abstract mathematics - let us make no bones about it - yet it is also applied mathematics in its best and purest form. It is not abstraction for its own sake, but abstraction for the sake of efficiency, power and insight. Algebra emerged from the struggle to solve concrete, physical problems in geometry, and succeeded after 2000 years of failure by other forms of mathematics. It did this by exposing the mathematical structure of geometry, and by providing the tools to analyse it. This is typical of the way algebra is applied; it is the best and purest form of application because it reveals the simplest and most universal mathematical structures. The present book aims to foster a proper appreciation of algebra by showing abstraction at work on concrete problems, the classical problems of construction by straightedge and compass. These problems originated in the time of Euclid, when geometry and number theory were paramount, and were not solved until th the 19 century, with the advent of abstract algebra. As we now know, alge bra brings about a unification of geometry, number theory and indeed most branches of mathematics. This is not really surprising when one has a historical understanding of the subject, which I also hope to impart.
The Elements Of Algebra
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Author : John Hind
language : en
Publisher:
Release Date : 1837
The Elements Of Algebra written by John Hind and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1837 with Algebra categories.
Elements Of Mathematics
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Author : John Stillwell
language : en
Publisher: Princeton University Press
Release Date : 2016-05-31
Elements Of Mathematics written by John Stillwell and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-05-31 with Mathematics categories.
An exciting look at the world of elementary mathematics Elements of Mathematics takes readers on a fascinating tour that begins in elementary mathematics—but, as John Stillwell shows, this subject is not as elementary or straightforward as one might think. Not all topics that are part of today's elementary mathematics were always considered as such, and great mathematical advances and discoveries had to occur in order for certain subjects to become "elementary." Stillwell examines elementary mathematics from a distinctive twenty-first-century viewpoint and describes not only the beauty and scope of the discipline, but also its limits. From Gaussian integers to propositional logic, Stillwell delves into arithmetic, computation, algebra, geometry, calculus, combinatorics, probability, and logic. He discusses how each area ties into more advanced topics to build mathematics as a whole. Through a rich collection of basic principles, vivid examples, and interesting problems, Stillwell demonstrates that elementary mathematics becomes advanced with the intervention of infinity. Infinity has been observed throughout mathematical history, but the recent development of "reverse mathematics" confirms that infinity is essential for proving well-known theorems, and helps to determine the nature, contours, and borders of elementary mathematics. Elements of Mathematics gives readers, from high school students to professional mathematicians, the highlights of elementary mathematics and glimpses of the parts of math beyond its boundaries.