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Academic Press

  • Computer-Assisted Analysis and Model Simplification

    Proceedings of the First Symposium on Computer-Assisted Analysis and Model Simplification, University of Colorado, Boulder, Colorado, March 28, 1980
    • 1st Edition
    • Harvey J. Greenberg + 1 more
    • English
    Computer-Assisted Analysis and Model Simplification deals with problems associated with the implementation, understanding, and management of large-scale, computer-resident models. This book focuses on five general research areas—structural modeling, qualitative economics, mathematical programming systems, relational databases, and combinatorics. In these topics, this compilation discusses the scope of computer-assisted analysis and model, structural models and graph theory, and qualitative stability of matrices and economic theory. The strong sign-solvability and weak satisfiability, automatic identification of embedded structure in large-scale optimization models, and query systems for linear programming models are also deliberated. This publication is a good source for students, specialists, and researchers interested in computer-assisted analysis and model simplification.

  • Table of Integrals, Series, and Products

    • 1st Edition
    • I. S. Gradshteyn + 1 more
    • English
    Table of Integrals, Series, and Products provides information pertinent to the fundamental aspects of integrals, series, and products. This book provides a comprehensive table of integrals. Organized into 17 chapters, this book begins with an overview of elementary functions and discusses the power of binomials, the exponential function, the logarithm, the hyperbolic function, and the inverse trigonometric function. This text then presents some basic results on vector operators and coordinate systems that are likely to be useful during the formulation of many problems. Other chapters consider inequalities that range from basic algebraic and functional inequalities to integral inequalities and fundamental oscillation and comparison theorems for ordinary differential equations. This book discusses as well the important part played by integral transforms. The final chapter deals with Fourier and Laplace transforms that provides so much information about other integrals. This book is a valuable resource for mathematicians, engineers, scientists, and research workers.

  • Algebra for College Students

    • 1st Edition
    • Bernard Kolman + 1 more
    • English
    Algebra for College Students, Revised and Expanded Edition is a complete and self-contained presentation of the fundamentals of algebra which has been designed for use by the student. The book provides sufficient materials for use in many courses in college algebra. It contains chapters that are devoted to various mathematical concepts, such as the real number system, sets and set notation, matrices and their application in solving linear systems, and notation of functions. The theory of polynomial equations, formulas for factoring a sum and a difference of cubes, roots of polynomials, and the geometric definition of each conic are likewise included in the book. College students will find the book very useful and invaluable.

  • Analysis, et Cetera

    Research Papers Published in Honor of Jürgen Moser's 60th Birthday
    • 1st Edition
    • Paul H. Rabinowitz + 1 more
    • English
    Analysis, et cetera: Research Papers Published in Honor of Jürgen Moser's 60th Birthday provides a collection of papers dedicated to Jürgen Moser on the occasion of his 60th birthday. This book covers a variety of topics, including Helmholtz equation, algebraic complex integrability, theory of Lie groups, and trigonometric polynomials. Organized into 31 chapters, this book begins with an overview of some basic consequences of the definition of algebraic complete integrability. This text then derives a representation theorem for solutions of the Helmholtz equation. Other chapters consider the integrable generalizations of the Volterra system and explain the dynamical system in the finite-dimensional case. This book discusses as well the global periodic solutions for the planar triple pendulum. The final chapter deals with the problem of deriving the macroscopic conservation laws, or the Euler equations, in accurate fashion from the microscopic equations of classical mechanics. This book is a valuable resource for mathematicians.

  • Opioid Peptides: Biology, Chemistry, and Genetics

    The Peptides: Analysis, Synthesis, Biology, Vol. 6
    • 1st Edition
    • Sidney Udenfriend + 1 more
    • English
    The Peptides: Analysis, Synthesis, Biology, Volume 6: Opioid Peptides: Biology, Chemistry, and Genetics presents a biological topic of peptide research. This book is divided into nine chapters. Chapter 1 reviews the opioid peptide precursors and their genes. The proenkephalin and products of its processing are discussed in Chapter 2. In Chapter 3, the role of pro-opiomelanocortin (POMC) as a protein at the interface of the endocrine and nervous systems is examined. Chapter 4 provides a comprehensive account of the biology and chemistry of the dynorphin peptides. The opioid receptors are described in Chapter 5. Chapter 6 evaluates the structure-activity relationships of ?-endorphin, while Chapter 7 considers the conformational analysis of enkephalins and conformation-activit... relationships. The structure-activity relationships among enkephalin peptides are elaborated in Chapter 8. The last chapter is devoted to the clinical significance of opioid peptides in humans. This publication is a good reference for biologists, specialists, and researchers concerned with peptides and proteins.

  • Modeling of Complex Systems

    An Introduction
    • 1st Edition
    • V. Vemuri
    • J. William Schmidt
    • English
    Modeling of Complex Systems: An Introduction describes the framework of complex systems. This book discusses the language of system theory, taxonomy of system concepts, steps in model building, and establishing relations using physical laws. The statistical attributes of data, generation of random numbers fundamental problems of recognition, and input-output type models are also elaborated. This text likewise covers the optimization with equality constraints, transfer function models, and competition among species. This publication is written primarily for senior undergraduate students and beginning graduate students who are interested in an interdisciplinary or multidisciplinary approach to large-scale or complex problems of contemporary societal interest.

  • Chinese Economic Reform

    How Far, How Fast?
    • 1st Edition
    • Bruce L. Reynolds
    • English
    Chinese Economic Reform: How Far, How Fast? focuses on China's economic reform and tackles topics ranging from the reformed price system and the macroeconomic mechanism to the dual pricing system in industry. The rapid growth in money income and government deficit is also examined, along with the relationship between price level, money supply, and GNP. Agricultural reform and the shortcomings of China's banking system as a tool for monetary control are considered as well. Comprised of 17 chapters, this book begins with an analysis of the impact of the two-tier plan/market system on the Chinese industry, followed by a discussion on the dual pricing system in the industry and money and price level determination in China. The reader is then introduced to China's macroeconomic policy and how it has been influenced by the reform process; money and the consumption goods market; and issues in the structural reform of agriculture. Subsequent chapters focus on the banking system; economic policy and income distribution; trade, employment, and inequality in post-reform China; and the stock-share system as an avenue for reforming the Chinese economy. Economic liberalization in China is also compared with that in India. This monograph will be of interest to economists and economic policymakers.

  • Calculus of One Variable

    • 2nd Edition
    • Stanley I. Grossman
    • English
    Calculus of One Variable, Second Edition presents the essential topics in the study of the techniques and theorems of calculus. The book provides a comprehensive introduction to calculus. It contains examples, exercises, the history and development of calculus, and various applications. Some of the topics discussed in the text include the concept of limits, one-variable theory, the derivatives of all six trigonometric functions, exponential and logarithmic functions, and infinite series. This textbook is intended for use by college students.

  • Studies in Macroeconomic Theory

    Redistribution and Growth
    • 1st Edition
    • Edmund S. Phelps
    • Karl Shell
    • English
    Studies in Macroeconomic Theory, Volume 2: Redistribution and Growth is a compendium of scholarly papers on the behavior and public control of distribution and growth in the market economy. The papers in this volume focus on the subject of public finance under the broad theory of economic policy. The papers are grouped into five groups or sections. Part I covers the steady-state choices. The second part takes up the efficient use of a given volume of saving in the choice among national investments. Part III explores the alternative approaches to optimal national saving. Part IV discusses the maximin-optimal graduated taxation of wage income. The final section expounds on Rawls's vision of the just economy. Economists will find the text invaluable and insightful.

  • Elements of Differentiable Dynamics and Bifurcation Theory

    • 1st Edition
    • David Ruelle
    • English
    Elements of Differentiable Dynamics and Bifurcation Theory provides an introduction to differentiable dynamics, with emphasis on bifurcation theory and hyperbolicity that is essential for the understanding of complicated time evolutions occurring in nature. This book discusses the differentiable dynamics, vector fields, fixed points and periodic orbits, and stable and unstable manifolds. The bifurcations of fixed points of a map and periodic orbits, case of semiflows, and saddle-node and Hopf bifurcation are also elaborated. This text likewise covers the persistence of normally hyperbolic manifolds, hyperbolic sets, homoclinic and heteroclinic intersections, and global bifurcations. This publication is suitable for mathematicians and mathematically inclined students of the natural sciences.

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