Linear algebra is tightly integrated into the text.

    Therefore, this book provides the fundamental concepts and techniques of real analysis for readers in all of these areas. It helps one develop the ability to think deductively, analyze mathematical situations and extend ideas to a new context. Like the first two editions, this edition maintains the same spirit and user-friendly approach with some streamlined arguments, a few new examples, rearranged topics, and a new chapter on the Generalized Riemann Integral.

    Clear, comprehensive coverage of utility theory, 2-person zero-sum games, 2-person non-zero-sum games, n-person games, individual and group decision-making, more. Bibliography.

    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.

    This updated edition of Ross's classic bestseller provides an introduction to elementary probability theory and stochastic processes, and shows how probability theory can be applied to the study of phenomena in fields such as engineering, computer science, management science, the physical and social sciences, and operations research. With the addition of several new sections relating to actuaries, this text is highly recommended by the Society of Actuaries.This book now contains a new section on compound random variables that can be used to establish a recursive formula for computing probability mass functions for a variety of common compounding distributions; a new section on hiddden Markov chains, including the forward and backward approaches for computing the joint probability mass function of the signals, as well as the Viterbi algorithm for determining the most likely sequence of states; and a simplified approach for analyzing nonhomogeneous Poisson processes. There are also additional results on queues relating to the conditional distribution of the number found by an M/M/1 arrival who spends a time t in the system; inspection paradox for M/M/1 queues; and M/G/1 queue with server breakdown. Furthermore, the book includes new examples and exercises, along with compulsory material for new Exam 3 of the Society of Actuaries.This book is essential reading for professionals and students in actuarial science, engineering, operations research, and other fields in applied probability.

    As well as lucid descriptions of all the topics and many worked examples, it contains over 800 exercises. New stand-alone chapters give a systematic account of the 'special functions' of physical science, cover an extended range of practical applications of complex variables, and give an introduction to quantum operators. Further tabulations, of relevance in statistics and numerical integration, have been added. In this edition, half of the exercises are provided with hints and answers and, in a separate manual available to both students and their teachers, complete worked solutions. The remaining exercises have no hints, answers or worked solutions and can be used for unaided homework; full solutions are available to instructors on a password-protected web site, www.cambridge.org/9780521679718.

    The authors' comprehensive experience in legal practice, banking and teaching have enabled them to provide a condensed and easy to understand coverage of business law principles and areas of interest related thereto.

    This e-book is a completely new way to learn Brazilian Portuguese vocabulary fast - and for free! Start speaking Brazilian Portuguese in minutes with the powerful learning methods you will master in this book.The vocabulary words you’ll find in Learn BrazilianPortuguese - Word Power 101 were hand selected by our Brazilian Portuguese language teachers as the top 101 most frequently used words in the Brazilian Portuguese language. With each entry, you’ll see the word and a vibrant image to help remember the meaning. You’ll hear the word (separate free download) to master the pronunciation. Then you’ll see how the word is actually used in everyday speech with sample sentences and phrases. Learning Brazilian Portuguese vocabulary has never been easier!In this book, you’ll get: - 101 of the most frequently used Brazilian Portuguese vocabulary words - Audio with authentic native Brazilian Portuguese pronunciation *Supplementary mp3 audio files are a separate download - Vibrant photos and images to help memorization - Useful and practical sample sentences and phrases Purchase Learn BrazilianPortuguese - Word Power 101 today to start mastering Brazilian Portuguese vocabulary in the fastest, easiest and most fun way possible!

    Requiring essentially no background apart from mathematical maturity, the book can be used as a reference for self-study for anyone interested in complexity, including physicists, mathematicians, and other scientists, as well as a textbook for a variety of courses and seminars. More than 300 exercises are included with a selected hint set.

     This top-selling, theorem-proof text presents a careful treatment of the principal topics of linear algebra, and illustrates the power of the subject through a variety of applications. It emphasizes the symbiotic relationship between linear transformations and matrices, but states theorems in the more general infinite-dimensional case where appropriate.

    Cases, datasets, and examples allow for a more real-world perspective and explore relevant uses of regression techniques in business today.

    History textbook is a college-level, introductory textbook that covers the exciting subject of U.S. History. Volume II covers 1865 through the present day. Boundless works with subject matter experts to select the best open educational resources available on the web, review the content for quality, and create introductory, college-level textbooks designed to meet the study needs of university students.This textbook covers:Reconstruction: 1865-1877 -- The End of the War, The Aftermath of the War, The Battle over Reconstruction, Reconstruction in the South, The Reconstructed South, The Grant PresidencyThe Gilded Age: 1870-1900 -- The Gilded Age, The Second Industrial Revolution, The Rise of the City, The Rise of Big Business, The Rise of Immigration, Work in Industrial America, The Transformation of the West, Conquest in the West, The Transformation of the South, Politics in the Gilded Age, Urban Reform, Corruption and Reform, The Agrarian and Populist Movements, The Silver SolutionRace, Empire, and Culture in the Gilded Age: 1870-1900 -- Culture in the Gilded Age, Popular Culture, Cheap Amusements, Education, The Rise of Realism, Labor and Domestic Tensions, The Labor Wars, War, Empire, and an Emerging American World PowerThe Progressive Era: 1890-1917 -- The Progressive Era, Labor, Local, and Political Reform, The Politics of Progressivism, Grassroots Progressivism, Progressivism: Theory and Practice, Changing Ideas of Freedom, Roosevelt's Progressivism, Roosevelt's Second Term, From Roosevelt to Taft, Woodrow Wilson and Progressivism, The Limits of ProgressivismWorld War I: 1914-1919 -- The Wilson Administration, American Neutrality, America's Entry into the War, America and WWI, The War at Home, The "American", The Fight for Peace, Diplomacy & Negotiations at the War's End, The Transition to Peace: 1919-21From the New Era to the Great Depression: 1920-1933 -- The New Era, The Roaring Twenties, The Culture of Change, Resistance to Change, Wall Street Crash of 1929, The Great DepressionThe New Deal: 1933-1940 -- Franklin D. Roosevelt and the First New Deal, The New Deal, Critical Interpretations of the New Deal, The Social Cost of the Depression, Toward a Welfare State, Roosevelt's Second Term, Culture in the Thirties, The Second New Deal, The Legacy of the New DealFrom Isolation to World War II: 1930-1943 -- Non-Interventionism, The Beginning of the War, Conflict in Europe, Conflict in the Pacific, America's Early Involvement, Mobilization in the U.S., Social Effects of the War, The War in Germany, The War in the Pacific, The End of WWIIThe Cold War: 1947-1991 -- Origins of the Cold War, The Cold War, Truman and the Fair Deal, The Cold War and KoreaThe Politics and Culture of Abundance: 1943-1960 -- The Politics of Abundance, The Culture of Abundance, The Eisenhower Administration, The Policy of Containment, The Emergence of the Civil Rights MovementThe Sixties: 1960-1969 -- The Election of 1960, The Expansion of the Civil Rights Movement, Counterculture, The John F. Kennedy Administration, The Lyndon B. Johnson AdministrationThe Conservative Turn of America: 1968-1989 -- The Nixon Administration, Watergate, The Ford Administration, The Carter Administration, The Reagan AdministrationThe Challenges of Globalization and the Coming Century: After 1989 -- The George H.W. Bush Administration, America's Emerging Culture, The Clinton Administration, Globalization and the U.S.

    Shilov, Professor of Mathematics at the Moscow State University, covers determinants, linear spaces, systems of linear equations, linear functions of a vector argument, coordinate transformations, the canonical form of the matrix of a linear operator, bilinear and quadratic forms, Euclidean spaces, unitary spaces, quadratic forms in Euclidean and unitary spaces, finite-dimensional algebras and their representations, with an appendix on categories of finite-dimensional spaces.The author begins with elementary material and goes easily into the advanced areas, covering all the standard topics of an advanced undergraduate or beginning graduate course. The material is presented in a consistently clear style. Problems are included, with a full section of hints and answers in the back.Keeping in mind the unity of algebra, geometry and analysis in his approach, and writing practically for the student who needs to learn techniques, Professor Shilov has produced one of the best expositions on the subject. Because it contains an abundance of problems and examples, the book will be useful for self-study as well as for the classroom.

    Assuming a minimum of mathematical preparation, Basic Category Theory for Computer Scientists provides a straightforward presentation of the basic constructions and terminology of category theory, including limits, functors, natural transformations, adjoints, and cartesian closed categories. Four case studies illustrate applications of category theory to programming language design, semantics, and the solution of recursive domain equations. A brief literature survey offers suggestions for further study in more advanced texts.

    Practical Algebra is an easy andfun-to-use workout program that quickly puts you in command of allthe basic concepts and tools of algebra. With the aid of practical, real-life examples and applications, you'll learn: * The basic approach and application of algebra to problemsolving * The number system (in a much broader way than you have known itfrom arithmetic) * Monomials and polynomials; factoring algebraic expressions; howto handle algebraic fractions; exponents, roots, and radicals;linear and fractional equations * Functions and graphs; quadratic equations; inequalities; ratio, proportion, and variation; how to solve word problems, andmore Authors Peter Selby and Steve Slavin emphasize practical algebrathroughout by providing you with techniques for solving problems ina wide range of disciplines--from engineering, biology, chemistry, and the physical sciences, to psychology and even sociology andbusiness administration. Step by step, Practical Algebra shows youhow to solve algebraic problems in each of these areas, then allowsyou to tackle similar problems on your own, at your own pace.Self-tests are provided at the end of each chapter so you canmeasure your mastery.