Elements of Modern Algebra Seventh Edition By Linda Gilbert and Jimmie Gilbert

Contents Preface ……………….. xi 1 Fundamentals ……………….. 1 1.1 Sets ……………….. 1 1.2 Mappings ……………….. 12 1.3 Properties of Composite Mappings (Optional) ……………….. 25 1.4 Binary Operations ……………….. 30 1.5 Permutations and Inverses ……………….. 37 1.6 Matrices ……………….. 42 1.7 Relations ……………….. 55 Key Words and Phrases ……………….. 62 A Pioneer in Mathematics: Arthur Cayley ……………….. 62 2 The Integers ……………….. 65 2.1 Postulates for the Integers (Optional) ……………….. 65 2.2 Mathematical Induction ……………….. 71 2.3 Divisibility ……………….. 81 2.4 Prime Factors and Greatest Common Divisor ……………….. 86 2.5 Congruence…

Sacred Mathematics Japanese Temple Geometry By Fukagawa Hidetoshi and Tony Rothman

Introduction Between the seventeenth and nineteenth centuries, Japan was totally isolated from the West by imperial decree. During that time, a unique brand of homegrown mathematics flourished, one that was completely uninfluenced by developments in Western mathematics. People from all walks of life–samurai, farmers, and merchants–inscribed a wide variety of geometry problems on wooden tablets called sangaku and hung them in Buddhist temples and Shinto shrines throughout Japan. Sacred Mathematics is the first book published in the West to fully examine this tantalizing–and incredibly beautiful–mathematical tradition. Fukagawa Hidetoshi and Tony Rothman present for the…

Additional Mathematics 6th Edition

Introduction This sixth edition of Additional Maths: Pure and Applied, has been completely revised and updated. It covers the Cambridge Additional Mathematics syllabus in the Pure Mathematics and Particle Mechanics sections. In this new edition, the authors have included additional sections to make for a more comprehensive coverage of topics; more exercise and revision questions; additional/replacement examples/figures to complement the modified text. As in previous editions, the treatment is straightforward to allow rapid progress in grasping the techniques, with sufficient exercises for practice. The topics have been taken largely in…

Pocket Book of Integrals and Mathematical Formulas 4th Edition By Ronald J. Tallarida

Introduction Convenient Organization of Essential Material so You Can Look up Formulas Fast Containing a careful selection of standard and timely topics, the Pocket Book of Integrals and Mathematical Formulas, Fourth Edition presents many numerical and statistical tables, scores of worked examples, and the most useful mathematical formulas for engineering and scientific applications. This fourth edition of a bestseller provides even more comprehensive coverage with the inclusion of several additional topics, all while maintaining its accessible, clear style and handy size. New to the Fourth Edition •          An expanded chapter on series that…