Unified Messaging:EXCERPT from Microsoft Exchange Server 2013 Inside Out Paul Robichaux
Algebra fulfills a definite need to provide a self-contained, one volume, graduate level algebra text that is readable by the average graduate student and flexible enough to accomodate a wide variety of instructors and course contents. The guiding philosophical principle throughout the text is that the material should be presented in the maximum usable generality consistent with good pedagogy. Therefore it is essentially self-contained, stresses clarity rather than brevity and contains an unusually large number of illustrative exercises. The book covers major areas of modern algebra, which is a necessity for most mathematics students in sufficient breadth and depth. TOC:Prerequisites and Preliminaries.- Groups.- The Structure of Groups.- Rings.- Modules.- Fields and Galois Theory.- The Structure of Fields.- Linear Algebra.- Commutative Rings and Modules.- The Structure of Rings.- Categories.
This book is about algebra. This is a very old science and its gems have lost their charm for us through everyday use. We have tried in this book to refresh them for you. The main part of the book is made up of problems. The best way to deal with them is: Solve the problem by yourself - compare your solution with the solution in the book (if it exists) - go to the next problem. However, if you have difficulties solving a problem (and some of them are quite difficult), you may read the hint or start to read the solution. If there is no solution in the book for some problem, you may skip it (it is not heavily used in the sequel) and return to it later. The book is divided into sections devoted to different topics. Some of them are very short, others are rather long. Of course, you know arithmetic pretty well. However, we shall go through it once more, starting with easy things. 2 Exchange of terms in addition Let´s add 3 and 5: 3+5=8. And now change the order: 5+3=8. We get the same result. Adding three apples to five apples is the same as adding five apples to three - apples do not disappear and we get eight of them in both cases. 3 Exchange of terms in multiplication Multiplication has a similar property. But let us first agree on notation.
Publisher´s Note: Products purchased from Third Party sellers are not guaranteed by the publisher for quality, authenticity, or access to any online entitlements included with the product. Don´t let quadratic equations make you irrational If you are absolutely confused by absolute value equations, or you think parabolas are short moralstories, College Algebra DeMYSTiFied, Second Edition is your solution to mastering the topic´s concepts and theories at your own pace. This thoroughly revised and updated guide eases you into the subject, beginning with the math fundamentals then introducing you to this advancedform of algebra. As you progress, you will learn howto simplify rational expressions, divide complex numbers, and solve quadratic equations. You will understand the difference between odd and even functions and no longer be confused by the multiplicity of zeros. Detailed examples make it easy to understand the material, and end-of-chapterquizzes and a final exam help reinforce key ideas. It´s a no-brainer! You´ll learn about: * The x-y coordinate plane * Lines and intercepts * The FOIL method * Functions * Nonlinear equations * Graphs of functions * Exponents and logarithms Simple enough for a beginner, but challenging enough for an advanced student, College Algebra DeMYSTiFieD, Second Edition is your shortcut to a working knowledge of this engaging subject.
This book highlights the contributions of the eminent mathematician and leading algebraist David F. Anderson in wide-ranging areas of commutative algebra. It provides a balance of topics for experts and non-experts, with a mix of survey papers to offer a synopsis of developments across a range of areas of commutative algebra and outlining Anderson´s work. The book is divided into two sections-surveys and recent research developments-with each section presenting material from all the major areas in commutative algebra. The book is of interest to graduate students and experienced researchers alike.
Accessible but rigorous, this outstanding text encompasses all of elementary abstract algebra´s standard topics. Its easy-to-read treatment offers an intuitive approach, featuring informal discussions followed by thematically arranged exercises. 1990 edition.
This is a softcover reprint of chapters four through seven of the 1990 English translation of the revised and expanded version of Bourbaki´s Algebre. Much material was added or revised for this edition, which thoroughly establishes the theories of commutative fields and modules over a principal ideal domain.
This book is a carefully written exposition of Coxeter groups, an area of mathematics which appears in algebra, geometry, and combinatorics. In this book, the combinatorics of Coxeter groups has mainly to do with reduced expressions, partial order of group elements, enumeration, associated graphs and combinatorial cell complexes, and connections with combinatorial representation theory. While Coxeter groups have already been exposited from algebraic and geometric perspectives, this book will be presenting the combinatorial aspects of Coxeter groups. The authors have included an exposition of Coxeter groups along with a rich variety of exercises, ranging from easy to very difficult, giving the book the unique character of serving as both a textbook and a monograph.
Tough Test Questions? Missed Lectures? Not Enough Time? Textbook too pricey? Fortunately, there´s Schaum´s. This all-in-one-package includes more than 600 fully-solved problems, examples, and practice exercises to sharpen your problem-solving skills. Plus, you will have access to 25 detailed videos featuring math instructors who explain how to solve the most commonly tested problems--it´s just like having your own virtual tutor! You´ll find everything you need to build confidence, skills, and knowledge for the highest score possible. More than 40 million students have trusted Schaum´s to help them succeed in the classroom and on exams. Schaum´s is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. Helpful tables and illustrations increase your understanding of the subject at hand. Schaum´s Outline of Linear Algebra, Sixth Edition features: . Updated content to match the latest curriculum . Over 600 problems with step-by-step solutions . An accessible outline format for quick and easy review . Clear explanations for all linear algebra concepts . Access to revised Schaums.com website and new app with access to 25 problem-solving videos, and more