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.

    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.

    W. R. Dedekind. The first presents Dedekind's theory of the irrational number-the Dedekind cut idea-perhaps the most famous of several such theories created in the 19th century to give a precise meaning to irrational numbers, which had been used on an intuitive basis since Greek times. This paper provided a purely arithmetic and perfectly rigorous foundation for the irrational numbers and thereby a rigorous meaning of continuity in analysis.The second essay is an attempt to give a logical basis for transfinite numbers and properties of the natural numbers. It examines the notion of natural numbers, the distinction between finite and transfinite (infinite) whole numbers, and the logical validity of the type of proof called mathematical or complete induction.The contents of these essays belong to the foundations of mathematics and will be welcomed by those who are prepared to look into the somewhat subtle meanings of the elements of our number system. As a major work of an important mathematician, the book deserves a place in the personal library of every practicing mathematician and every teacher and historian of mathematics. Authorized translations by "Vooster " V. Beman.

    Packed with plenty of sample programs, it explains how to work with range objects, control program flow, develop custom dialog boxes, create custom toolbars and menus, and much more.Discover how toGrasp essential programming concepts Use the Visual Basic Editor Navigate the new Excel user interface Communicate with your users Deal with errors and bugs

    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.

    Intuition and computational abilities are stressed. Original material on DE and multiple integrals has been expanded.

    In this guide for students, each equation is the subject of an entire chapter, with detailed, plain-language explanations of the physical meaning of each symbol in the equation, for both the integral and differential forms. The final chapter shows how Maxwell's equations may be combined to produce the wave equation, the basis for the electromagnetic theory of light. This book is a wonderful resource for undergraduate and graduate courses in electromagnetism and electromagnetics. A website hosted by the author at www.cambridge.org/9780521701471 contains interactive solutions to every problem in the text as well as audio podcasts to walk students through each chapter.

    According to the author, these trends sought to create a unified conceptual apparatus as a common basis for the whole of human knowledge.Because these new developments in logical thought tended to perfect and sharpen the deductive method, an indispensable tool in many fields for deriving conclusions from accepted assumptions, the author decided to widen the scope of the work. In subsequent editions he revised the book to make it also a text on which to base an elementary college course in logic and the methodology of deductive sciences. It is this revised edition that is reprinted here.Part One deals with elements of logic and the deductive method, including the use of variables, sentential calculus, theory of identity, theory of classes, theory of relations and the deductive method. The Second Part covers applications of logic and methodology in constructing mathematical theories, including laws of order for numbers, laws of addition and subtraction, methodological considerations on the constructed theory, foundations of arithmetic of real numbers, and more. The author has provided numerous exercises to help students assimilate the material, which not only provides a stimulating and thought-provoking introduction to the fundamentals of logical thought, but is the perfect adjunct to courses in logic and the foundation of mathematics.

    Beginning with the background and very nature of probability theory, the book then proceeds through sample spaces, combinatorial analysis, fluctuations in coin tossing and random walks, the combination of events, types of distributions, Markov chains, stochastic processes, and more. The book's comprehensive approach provides a complete view of theory along with enlightening examples along the way.

    It demonstrates how to encourage, develop, and foster the processes which seem to come naturally to mathematicians.

    This book provides an introduction to the field of solid state physics for undergraduate students in physics, chemistry, engineering, and materials science.

    This revised edition includes a CD-Rom with exercises that will help the student have a better understanding of equations, formulas, etc.

    In the Fourth Edition CALCULUS, EARLY TRANSCENDENTALS these functions are introduced in the first chapter and their limits and derivatives are found in Chapters 2 and 3 at the same time as polynomials and other elementary functions. In this Fourth Edition, Stewart retains the focus on problem solving, the meticulous accuracy, the patient explanations, and the carefully graded problems that have made these texts word so well for a wide range of students. All new and unique features in CALCULUS, FOURTH EDITION have been incorporated into these revisions also.

    Mathematical concepts and computational problems are motivated by applications in computer science. The reader learns by "doing," writing programs to implement the mathematical concepts and using them to carry out tasks and explore the applications. Examples include: error-correcting codes, transformations in graphics, face detection, encryption and secret-sharing, integer factoring, removing perspective from an image, PageRank (Google's ranking algorithm), and cancer detection from cell features. A companion web site, codingthematrix.com provides data and support code. Most of the assignments can be auto-graded online. Over two hundred illustrations, including a selection of relevant "xkcd" comics. Chapters: "The Function," "The Field," "The Vector," "The Vector Space," "The Matrix," "The Basis," "Dimension," "Gaussian Elimination," "The Inner Product," "Special Bases," "The Singular Value Decomposition," "The Eigenvector," "The Linear Program"

    drone strike on an ISIS base in Syria accidentally kills an American hostage, news of her death has to be suppressed to prevent a political firestorm. In a desperate ploy a CIA fixer is tasked with using fake video to create the illusion that she is still alive until the situation can be contained. But a ruthless cabal of arms manufacturers and their corrupt Washington lackeys will stop at nothing to get the massive pay day that only all-out war will bring.