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Elsevier

Academic Press

  • Computing for Calculus

    • 1st Edition
    • Mark J. Christensen
    • English
    Computing for Calculus focuses on BASIC as the computer language used for solving calculus problems. This book discusses the input statement for numeric variables, advanced intrinsic functions, numerical estimation of limits, and linear approximations and tangents. The elementary estimation of areas, numerical and string arrays, line drawing algorithms, and bisection and secant method are also elaborated. This text likewise covers the implicit functions and differentiation, upper and lower rectangular estimates, Simpson's rule and parabolic approximation, and interpolating polynomials. Other topics include the Taylor polynomials, estimating the limit of a sequence, infinite series, and level curves and central projection of surfaces. This publication is beneficial to math students and specialists who use computer languages for educational purposes.

  • Proceedings of the Conference on Finite Groups

    • 1st Edition
    • William R. Scott + 1 more
    • English
    Proceedings of the Conference on Finite Groups provides information pertinent to the fundamental aspects of finite group theory. This book presents the problem of characterizing simple groups in terms of the local structure of a group. Organized into five parts encompassing 43 chapters, this book begins with an overview of the characterization of the Chevalley groups over fields of odd order and indicates the role of this characterization in the theory of component type groups. This text then examines the structure as well as the representations of specific simple groups. Other chapters consider the general theory of representations and characters of finite groups. This book discusses as well permutation groups and the connection between group theory and geometry. The final chapter deals with finite solvable groups as well as the theory of formations. This book is a valuable resource for mathematicians, graduate students, and research workers.

  • The Mathematical Structure of Raster Graphics

    • 1st Edition
    • Eugene L. Fiume
    • English
    The Mathematical Structure of Raster Graphics presents a mathematical characterization of the structure of raster graphics, a popular and diverse form of computer graphics. The semantics and theory of the mathematical structure of raster graphics are discussed. Notations that help to clarify some of the concepts generally considered to be fundamental to computer graphics are included. Comprised of seven chapters, this book begins with a description of a general framework for specifying and manipulating scenes. Basic graphic entities, called primitive graphic objects, are defined using a simple notation over a Euclidean space. The reader is then introduced to a semantics of visibility; a mathematical semantics of rendering, developed using the very basic notion of measure; and a mathematical formalization of bit-mapped graphics. A framework for specifying illumination models is also described, along with the complexity of abstract ray tracing. This monograph will be a useful resource for undergraduate and graduate students, researchers, and practitioners in the fields of mathematics and computer graphics, and to those with some basic computer graphics background.

  • Representations of Finite Groups

    • 1st Edition
    • Hirosi Nagao + 1 more
    • English
    Representations of Finite Groups provides an account of the fundamentals of ordinary and modular representations. This book discusses the fundamental theory of complex representations of finite groups. Organized into five chapters, this book begins with an overview of the basic facts about rings and modules. This text then provides the theory of algebras, including theories of simple algebras, Frobenius algebras, crossed products, and Schur indices with representation-theor... versions of them. Other chapters include a survey of the fundamental theory of modular representations, with emphasis on Brauer characters. This book discusses as well the module-theoretic representation theory due to Green and includes some topics such as Burry–Carlson's theorem and Scott modules. The final chapter deals with the fundamental results of Brauer on blocks and Fong's theory of covering, and includes some approaches to them. This book is a valuable resource for readers who are interested in the various approaches to the study of the representations of groups.

  • Business Mathematics

    • 1st Edition
    • Michael Sentlowitz
    • English
    Business Mathematics deals with the concepts and problem-solving techniques used in business mathematics. Learning objectives are included at the beginning of each chapter to give the student an overview of the skills they can expect to master after completing the chapter, along with worked-out examples and practice exercises; drill problems and word problems; and post-tests that let students measure their problem-solving skills. Topics covered in this book include operations with whole numbers, decimals, fractions, and percent; sales and inventory; finance; business and personal expenses; borrowing and investing; and data analysis. Starting with the fourth chapter, a case study is included at the end of each chapter for an in-depth analysis and discussion of a hypothetical business-related situation. Optional subsections in each chapter deal with mental arithmetic skills. Step-by-step problem-solving procedures are translated into written formulas, located in easy-to-find boxes for quick reference. A chapter glossary includes definitions for all key terms introduced in the chapter. The answer key at the end of the text includes all the answers for the pretests and post-tests, plus the answers to odd-numbered exercises. This monograph is intended for instructors of business mathematics and for their students who want to understand the concepts and master the problem-solving techniques of business mathematics.

  • Cell Separation

    Methods and Selected Applications
    • 1st Edition
    • Thomas G. Pretlow + 1 more
    • English
    Cell Separation: Methods and Selected Applications, Volume 5 provides information pertinent to the design and application of methods for the separation of cells. This book covers a variety of topics, including endothelial cells, separation of lymphoid cells, separation of T lymphocytes, and methods of epidermal separation. Organized into 16 chapters, this volume begins with an overview of the role of endothelium in wound healing and neovascularization as well as in the pathogenesis of many disease states. This text then examines a method of cell separation, isokinetic sedimentation, which can be employed to concentrate and purify one type of cell from a single-cell suspension of disaggregated tissues or organs. Other chapters consider the nature of tumor cell heterogeneity. This book discusses as well the cellular properties essential in malignant tumor behavior. The final chapter deals with transplantable pancreatic acinar cell carcinoma. This book is a valuable resource for cell biologists, experimental oncologists, hematologists, immunologists, and endocrinologists.

  • Generatingfunctionology

    • 1st Edition
    • Herbert S. Wilf
    • English
    Generatingfunctionol... provides information pertinent to generating functions and some of their uses in discrete mathematics. This book presents the power of the method by giving a number of examples of problems that can be profitably thought about from the point of view of generating functions. Organized into five chapters, this book begins with an overview of the basic concepts of a generating function. This text then discusses the different kinds of series that are widely used as generating functions. Other chapters explain how to make much more precise estimates of the sizes of the coefficients of power series based on the analyticity of the function that is represented by the series. This book discusses as well the applications of the theory of generating functions to counting problems. The final chapter deals with the formal aspects of the theory of generating functions. This book is a valuable resource for mathematicians and students.

  • Applied Finite Mathematics

    • 2nd Edition
    • Howard Anton + 1 more
    • English
    Applied Finite Mathematics, Second Edition presents the fundamentals of finite mathematics in a style tailored for beginners, but at the same time covers the subject matter in sufficient depth so that the student can see a rich variety of realistic and relevant applications. Some applications of probability, game theory, and Markov chains are given. Comprised of 10 chapters, this book begins with an introduction to set theory, followed by a discussion on Cartesian coordinate systems and graphs. Subsequent chapters focus on linear programming from a geometric and algebraic point of view; matrices, the solution of linear systems, and applications; the simplex method for solving linear programming problems; and probability and probability models for finite sample spaces as well as permutations, combinations, and counting methods. Basic concepts in statistics are also considered, along with the mathematics of finance. The final chapter is devoted to computers and programming languages such as BASIC. This monograph is intended for students and instructors of applied mathematics.

  • Introductory Microeconomics

    • 1st Edition
    • Michael Veseth
    • English
    Introductory Microeconomics explains the basic principles of microeconomics, producer and consumer choices, resource markets, and government policies. The book describes the economics of exchange, such as the role of economic growth, factors that determine the amount and types of exchange, the supply and demand model of market operations, price setting, price changes, and the impact of one market on other markets. The text also explains market failures in terms of free market choice, externalities of failures, monopolies, as well as scarcity and choices leading to poverty. When economic policies are considered by the state, there are trade-offs that are necessary in the exchange. Before the government should make decisions, it always has to consider two opportunity costs, namely, 1) budget constraints, and 2) the opportunity cost of the funds spent in the private sector. For example (no. 1), if more money is spent on transfer payments, less will be left for education, national defense, infrastructure. Another example (no. 2) is when the government collects taxes, a direct loss in real income and utility among consumers will result. The book also presents real world economics in terms of the social security tax in the United States. The book can prove valuable for students of economics or business, sociologists, general readers interested in real-world economics, and policy makers involved in national economic development.

  • Introductory Macroeconomics

    • 2nd Edition
    • Michael Veseth
    • English
    Introductory Macroeconomics, Second Edition deals with national economic issues, such as unemployment, inflation, the aggregate demand-aggregate supply model of macroeconomics, government economic policy, exchange, rates, international trade, and finance. The book examines national economic problems, economic goals, the role markets play in the economy, price control, unemployment, and inflation. By using the Phillips curve trade-off, the text notes that inflation increases the demand for labor. In the long term, according to the long-run Phillips curve, increased inflation does not actually lessen unemployment levels (known as the natural unemployment rate hypothesis). The text also examines whether minimum wage laws are necessary (to fight poverty, prevent exploitation) or cause poverty (in which the imposition of minimum wage results in lower demand for unskilled labor). The book notes that politics and unions favor minimum wage laws. The poor, uneducated, and unskilled laborers are left out. The text also tackles goals and trade-offs: for example, that economic growth suffers from both inflation and unemployment, or the trade-off that preventing unemployment only results in worse inflation problems. Economists, sociologists, professors in economics, or policy makers involved in economic and social development will find the text valuable.

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