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Academic Press

  • Noncooperative Approaches to the Theory of Perfect Competition

    • 1st Edition
    • Andreu Mas-Colell
    • English
    Economic Theory, Econometrics, and Mathematical Economics: A Series of Monographs and Textbooks: Noncooperative Approaches to the Theory of Perfect Competition focuses on the application of noncooperative approaches to the theory of perfect competition, including Cournot game, no-surplus condition, and Nash equilibria. The selection first elaborates on collusive behavior in noncooperative epsilon-equilibria of oligopolies with long but finite lives and noncooperative price taking in large dynamic markets. Discussions focus on noncooperative equilibria which support the monopoly allocation, alternative definition of perfect epsilon-equilibrium, one-period Cournot game, fixed-demand case, and replication case. The book takes a look at noncooperative price taking in large dynamic markets, no-surplus condition as a characterization of perfectly competitive equilibrium, perfect competition, profit criterion, and the organization of economic activity. Topics include profits to individually improving welfare, structure of firms, competitive allocations as no surplus allocations, profits as rents, Walrasian and perfectly competitive equilibrium, and no-surplus and core equivalence as alternative characterizations of perfectly competitive equilibrium. The manuscript ponders on Nash equilibria of market games and efficiency properties of strategic market games, as well as commodities, agents, assignments, strategic markets games, proper and full Cournot-Nash equilibria, and finiteness and inefficiency. The selection is a valuable source of data for researchers interested in noncooperative approaches to the theory of perfect competition.
  • Algebraic Analysis

    Papers Dedicated to Professor Mikio Sato on the Occasion of His Sixtieth Birthday
    • 1st Edition
    • Masaki Kashiwara + 1 more
    • English
    Algebraic Analysis: Papers Dedicated to Professor Mikio Sato on the Occasion of his 60th Birthday, Volume I is a collection of research papers on algebraic analysis and related topics in honor to Professor Mikio Sato’s 60th birthday. This volume is composed of 35 chapters and begins with papers concerning Sato’s early career in algebraic analysis. The succeeding chapters deal with research works on the existence of local holomorphic solutions, the holonomic q-difference systems, partial differential equations, and the properties of solvable models. Other chapters explore the fundamentals of hypergeometric functions, the Toda lattice in the complex domain, the Lie algebras, b-functions, p-adic integrals, analytic parameters of hyperfunctions, and some applicatioins of microlocal energy methods to analytic hypoeellipticity. This volume also presents studies on the complex powers of p-adic fields, operational calculus, extensions of microfunction sheaves up to the boundary, and the irregularity of holonomic modules. The last chapters feature research works on error analysis of quadrature formulas obtained by variable transformation and the analytic functional on the complex light cone, as well as their Fourier-Borel transformations. This book will prove useful to mathematicians and advance mathematics students.
  • Metabolism and Respiration

    The Biochemistry of Plants
    • 1st Edition
    • David D. Davies
    • English
    The Biochemistry of Plants: A Comprehensive Treatise, Volume 2: Metabolism and Respiration is a collection of articles that is largely concerned with the area of intermediary metabolism. This volume contains papers that discuss topics on the production of active C1 groups, photorespiration and the effect of light on respiration. Respiration and related metabolic activity in wounded and infected tissues, the respiration and senescence of plant organs, the effect of temperature on respiration and the assessment of the contributions of metabolic pathways to plant respiration are likewise covered. Biochemists and botanists will find the book highly useful.
  • Bacterial Immunoglobulin–Binding Proteins

    Applications in Immunotechnology
    • 1st Edition
    • Michael D. P. Boyle
    • English
    Bacterial Immunoglobulin-Bindi... Proteins: Applications in Immunotechnology, Volume 2 covers the state of knowledge of bacterial immunoglobulin-bindi... proteins. The book focuses on practical approaches to isolation, characterization, and use of bacterial immunoglobulin-bindi... proteins. The majority of these studies involve the type I Fc-binding protein (staphylococcal protein A) and the type III Fc-binding protein (streptococcal protein G). Physiological chemists, pediatricians, and microbiologists will find the book invaluable.
  • Applied Finite Mathematics

    • 1st Edition
    • Howard Anton + 1 more
    • English
    Applied Finite Mathematics 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. Applications in fields such as business, biology, behavioral sciences, and social sciences are included. Comprised of nine chapters, this book begins with an introduction to set theory, explaining concepts such as sets and union and intersection of sets as well as counting elements in sets. The next chapter deals with coordinate systems and graphs, along with applications of linear equations and graphs of linear inequalities. The discussion then turns to linear programming; matrices and linear systems; probability; and statistics. Examples of applications are given, including those of game theory, Markov chains, and probability. The final chapter is devoted to computers and programming languages such as FORTRAN. This monograph is intended for students and instructors of applied mathematics.
  • Introduction to Numerical Computations

    • 2nd Edition
    • James S. Vandergraft
    • Werner Rheinboldt
    • English
    Computer Science and Applied Mathematics: Introduction to Numerical Computations, Second Edition introduces numerical algorithms as they are used in practice. This edition covers the usual topics contained in introductory numerical analysis textbooks that include all of the well-known and most frequently used algorithms for interpolation and approximation, numerical differentiation and integration, solution of linear systems and nonlinear equations, and solving ordinary differential equations. A complete discussion of computer arithmetic, problems that arise in the computer evaluation of functions, and cubic spline interpolation are also provided. This text likewise discusses the Newton formulas for interpolation and adaptive methods for integration. The level of this book is suitable for advanced undergraduate students and readers with elementary mathematical background.
  • The Cell: Supplementary Volume

    Biochemistry, Physiology, Morphology
    • 1st Edition
    • Jean Brachet + 1 more
    • English
    The Cell: Biochemistry, Physiology, Morphology, Volume VI: Supplementary Volume focuses on the advancements of processes, technologies, and approaches employed in studies on the structure and functions of cells. The selection first offers information on the cytoplasm of Protozoa, fungi, and the aspects of the form and function of plant cells. Topics include special structures, basic genetics, physiology, life cycles and sexuality, special fungal genetics, basal bodies or kinetosomes, mitochondria, and symbiotes in Protozoa. The text then elaborates on sensory and connective tissue cells.Discussions focus on some catabolic processes of connective tissues, formation and cytology of connective tissues, nature of the extracellular constituents, and pseudosensory, neurosensory, and true sensory cells. The selection is a vital reference for researchers interested in the biochemistry, physiology, and morphology of cells.
  • Meiosis and Mitosis

    Biochemistry, Physiology, Morphology
    • 1st Edition
    • Jean Brachet + 1 more
    • English
    The Cell: Biochemistry, Physiology, Morphology, Volume III: Meiosis and Mitosis covers chapters on meiosis and mitosis. The book discusses meiosis with regard to the meiotic behavior of chromosomes; the anomalous meiotic behavior in organisms with localized centromeres and in forms with nonlocalized centromeres; and the nature of the synaptic force. The text also describes the mechanism of crossing over; the relationship of chiasmata to crossing over and metaphase pairing; and the reductional versus equational disjunction. The process of mitosis and the physiology of cell division are also considered. The book further tackles the significance of cell division and chromosomes; the essential mitotic plan and its variants; the preparations for mitosis; and the transition period. The text also demonstrates the time course of mitosis; the mobilization of the mitotic apparatus; metakinesis; the metaphase; the mitotic apparatus; anaphase; telophase; cytokinesis; and the physiology of the dividing cell. Physiological reproduction; mitotic rhythms and experimental synchronization; and the blockage and stimulation of division are also encompassed. Biologists, microbiologists, zoologists, and botanists will find the book invaluable.
  • Calculus

    • 3rd Edition
    • Stanley I. Grossman
    • English
    Calculus, Third Edition emphasizes the techniques and theorems of calculus, including many applied examples and exercises in both drill and applied-type problems. This book discusses shifting the graphs of functions, derivative as a rate of change, derivative of a power function, and theory of maxima and minima. The area between two curves, differential equations of exponential growth and decay, inverse hyperbolic functions, and integration of rational functions are also elaborated. This text likewise covers the fluid pressure, ellipse and translation of axes, graphing in polar coordinates, proof of l'Hôpital's rule, and approximation using Taylor polynomials. Other topics include the rectangular coordinate system in space, higher-order partial derivatives, line integrals in space, and vibratory motion. This publication is valuable to students taking calculus.
  • Ordinary Differential Equations

    • 1st Edition
    • Richard K Miller + 1 more
    • English
    Ordinary Differential Equations is an outgrowth of courses taught for a number of years at Iowa State University in the mathematics and the electrical engineering departments. It is intended as a text for a first graduate course in differential equations for students in mathematics, engineering, and the sciences. Although differential equations is an old, traditional, and well-established subject, the diverse backgrounds and interests of the students in a typical modern-day course cause problems in the selection and method of presentation of material. In order to compensate for this diversity, prerequisites have been kept to a minimum and the material is covered in such a way as to be appealing to a wide audience. The book contains eight chapters and begins with an introduction the subject and a discussion of some important examples of differential equations that arise in science and engineering. Separate chapters follow on the fundamental theory of linear and nonlinear differential equations; linear boundary value problems; Lyapunov stability theory; and perturbations of linear systems. Subsequent chapters deal with the Poincare-Bendixson theory and with two-dimensional van der Pol type equations; and periodic solutions of general order systems.