In studying number theory from such a perspective, mathematics majors are spared repetition and provided with new insights, while other students benefit from the consequent simplicity of the proofs for many theorems.Among the topics covered in this accessible, carefully designed introduction are multiplicativity-divisibility, including the fundamental theorem of arithmetic, combinatorial and computational number theory, congruences, arithmetic functions, primitive roots and prime numbers. Later chapters offer lucid treatments of quadratic congruences, additivity (including partition theory) and geometric number theory.Of particular importance in this text is the author's emphasis on the value of numerical examples in number theory and the role of computers in obtaining such examples. Exercises provide opportunities for constructing numerical tables with or without a computer. Students can then derive conjectures from such numerical tables, after which relevant theorems will seem natural and well-motivated..

    The first abnormal psychology book to present a thoroughly integrated multicultural perspective--based on the authors' view that cross-cultural comparisons can greatly enhance the understanding of disorders--the text provides extensive coverage and integration of multicultural models, explanations, and concepts. The book also helps you gain an understanding of abnormal behavior as scientific and clinical endeavors, while providing insight into the tools that mental health professionals use to study and treat disorders.

    The novel approach taken here banishes determinants to the end of the book and focuses on the central goal of linear algebra: understanding the structure of linear operators on vector spaces. The author has taken unusual care to motivate concepts and to simplify proofs. For example, the book presents - without having defined determinants - a clean proof that every linear operator on a finite-dimensional complex vector space (or an odd-dimensional real vector space) has an eigenvalue. A variety of interesting exercises in each chapter helps students understand and manipulate the objects of linear algebra. This second edition includes a new section on orthogonal projections and minimization problems. The sections on self-adjoint operators, normal operators, and the spectral theorem have been rewritten. New examples and new exercises have been added, several proofs have been simplified, and hundreds of minor improvements have been made throughout the text.

    Bridging the gap from geometry to the latest work in observational cosmology, the book illustrates the connection between geometry and the behavior of the physical universe and explains how radiation remaining from the big bang may reveal the actual shape of the universe.

    These stories are unique in time and circumstance, yet they address a common dilemma: how to reconcile America's mythologized "promise" with its more complex reality. New to the collection are Sherman Alexie, Michelle Cliff, Edwidge Danticat, Junot Diaz, Chitra Divakaruni, Jewelle Gomez, Thomas King, Bruce Morrow, Agnes Rossi, and David Wong Louie. They join Toni Cade Bambara, Richard Bausch, Marita Bonner, Nash Candelaria, Sandra Cisneros, Louise Erdrich, Mei Mei Evans, Oscar Hijuelos, Gish Jen, LeRoi Jones/Amiri Baraka, Kim Yong Ik, Monfoon Leong, Bernard Malamud, Paule Marshall, Nicholasa Mohr, Toshio Mori, Bharati Mukherjee, Mikhail Naimy, Tahira Naqvi, Gregory Orfalea, Grace Paley, Jeanne Schinto, Leslie Marmon Silko, Michael Stephens, Sui Sin Far, Alice Walker, and Hisaye Yamamoto—making this, once again, the most authoritative and useful multicultural collection available.

    No previous knowledge of statistics is assumed, and mathematical background is assumed to be minimal (lowest-level high-school algebra). This text may be used in a one or two course sequence. Such sequences are commonly required of social science graduate students in sociology, political science, and psychology. Students in geography, anthropology, journalism, and speech also are sometimes required to take at least one statistics course.

    Its easy-to-read treatment offers an intuitive approach, featuring informal discussions followed by thematically arranged exercises. Intended for undergraduate courses in abstract algebra, it is suitable for junior- and senior-level math majors and future math teachers. This second edition features additional exercises to improve student familiarity with applications. An introductory chapter traces concepts of abstract algebra from their historical roots. Succeeding chapters avoid the conventional format of definition-theorem-proof-corollary-example; instead, they take the form of a discussion with students, focusing on explanations and offering motivation. Each chapter rests upon a central theme, usually a specific application or use. The author provides elementary background as needed and discusses standard topics in their usual order. He introduces many advanced and peripheral subjects in the plentiful exercises, which are accompanied by ample instruction and commentary and offer a wide range of experiences to students at different levels of ability.

    Readers are encouraged to do math rather than just study it. The author draws upon his experience as a coach for the International Mathematics Olympiad to give students an enhanced sense of mathematics and the ability to investigate and solve problems.

    Simple, direct, and delightfully unprincipled, this guide contains tales of global power mongering from every age and endeavors to show dilettante dictators and tyrants-to-be just how it's done. Tips are provided on creating a personal flag, what type of puppet government to establish, how to squelch free speech, and, most important, how to handle enemies. Also included are humorous full-color illustrations, sidebars on admirable despots, and self-quizzes that allow readers to see if they have what it takes to conquer the world.

    You will have numerous opportunities to practice statistical techniques through learning checks, examples, demonstrations, and problems. Exam preparation is made easy with a student companion website that provides tutorials, crossword puzzles, flashcards, learning objectives, and more!

    Your guide to a higher math score on standardized tests*SATACT(R)ASVABGMAT(R)GRE(R)CBEST(R)PRAXIS I(R)GED(R) And More!Why CliffsNotes?Go with the name you know and trustGet the information you need-fast!About the Contents:IntroductionHow to use this bookOverview of the examsPart I: Basic Skills ReviewArithmetic and Data AnalysisAlgebraPart II: Strategies and PracticeMathematical AbilityQuantitative ComparisonData SufficiencyEach section includes a diagnostic test, explanations of rules, concepts withexamples, practice problems with complete explanations, a review test, and aglossary!Test-Prep Essentials from the Experts at CliffsNotes(R)For more test-prep help, visit CliffsNotes.com(R)*SAT is a registered trademark of the College Board, which was not involved inthe production of, and does not endorse, this product.

    Covering various the materials needed by students in engineering, science, and mathematics, this calculus text makes effective use of computing technology, graphics, and applications. It presents at least two technology projects in each chapter.

    Like its predecessors, this updated Sixth Edition is organized around the periodic table of elements and provides a systematic treatment of the chemistry of all chemical elements and their compounds. It incorporates important recent developments with an emphasis on advances in the interpretation of structure, bonding, and reactivity.From the reviews of the Fifth Edition: "The first place to go when seeking general information about the chemistry of a particular element, especially when up-to-date, authoritative information is desired."--Journal of the American Chemical Society"Every student with a serious interest in inorganic chemistry should have [this book]."-- Journal of Chemical Education "A mine of information . . . an invaluable guide."-- Nature "The standard by which all other inorganic chemistry books are judged."-- Nouveau Journal de Chimie "A masterly overview of the chemistry of the elements."-- The Times of London Higher Education Supplement "A bonanza of information on important results and developments which could otherwise easily be overlooked in the general deluge of publications."-- Angewandte Chemie

    Their groundbreaking new reader, Writing About Writing, does exactly that, by encouraging students to draw on what they know in order to contribute to ongoing conversations about writing and literacy. Class-tested by thousands of students, Writing about Writing presents accessible writing studies research by authors such as Donald Murray, Mike Rose, and Deborah Brandt, together with popular texts by authors such as Malcolm X, Sherman Alexie, and Junot Díaz. Throughout the book, friendly explanations and scaffolded questions help students connect to readings and — even more important — develop knowledge about writing they can use at work, in their everyday lives, and in college. The conversation on writing about writing continues on the authors' blog, Write On: Notes on Writing about Writing (a channel on Bedford Bits, Bedford/St.Martin's blog for teachers of writing).

    This book leads the reader from simple graphs through planar graphs, Euler's formula, Platonic graphs, coloring, the genus of a graph, Euler walks, Hamilton walks, more. Includes exercises. 1976 edition.