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Academic Press

  • Gyrodynamics and Its Engineering Applications

    • 1st Edition
    • Ronald N. Arnold + 1 more
    • English
    Gyrodynamics and Its Engineering Applications deals with the engineering applications of gyrodynamics in a manner that stresses the physical concepts. Topics covered range from the kinematics of rigid bodies to frames of reference, along with moments and products of inertia. Gyro-verticals and the gyrodynamics of machines are also considered. Comprised of 16 chapters, this book begins with a historical background on gyroscopes and an introduction to vectors, the kinematics of a particle, and rotating systems. The emphasis is on certain fundamental ideas governing the movement of bodies in three dimensions. Motion with respect to moving axes is discussed in detail, with particular attention to the intangible Coriolis acceleration. Subsequent chapters focus on the inertial characteristics of bodies and certain dynamical theorems; the motion of a free body and of a symmetrical gyroscope under gravity; gyroscopic vibration absorbers and stabilizers; the gyro-compass; suspensions for gyroscopes; gyro-verticals; and rate and integrating gyroscopes. The book also discusses inertial navigation as well as the whirling of shafts and aircraft gyrodynamics. This monograph is intended primarily for engineers, but should also prove valuable to university teachers, research workers, and those who encounter gyroscopic problems.
  • Studies in Topology

    • 1st Edition
    • Nick M. Stavrakas + 1 more
    • English
    Studies in Topology is a compendium of papers dealing with a broad portion of the topological spectrum, such as in shape theory and in infinite dimensional topology. One paper discusses an approach to proper shape theory modeled on the "ANR-systems" of Mardesic-Segal, on the "mutations" of Fox, or on the "shapings" of Mardesic. Some papers discuss homotopy and cohomology groups in shape theory, the structure of superspace, on o-semimetrizable spaces, as well as connected sets that have one or more disconnection properties. One paper examines "weak" compactness, considered as either a strengthening of absolute closure or a weakening of relative compactness (subject to entire topological spaces or to subspaces of larger spaces). To construct spaces that have only weak properties, the investigator can use the various productivity theorems of Scarborough and Stone, Saks and Stephenson, Frolik, Booth, and Hechler. Another paper analyzes the relationship between "normal Moore space conjecture" and productivity of normality in Moore spaces. The compendium is suitable for mathematicians, physicists, engineers, and other professionals involved in topology, set theory, linear spaces, or cartography.
  • Numerical Methods for Partial Differential Equations

    • 2nd Edition
    • William F. Ames
    • Werner Rheinboldt + 1 more
    • English
    Numerical Methods for Partial Differential Equations, Second Edition deals with the use of numerical methods to solve partial differential equations. In addition to numerical fluid mechanics, hopscotch and other explicit-implicit methods are also considered, along with Monte Carlo techniques, lines, fast Fourier transform, and fractional steps methods. Comprised of six chapters, this volume begins with an introduction to numerical calculation, paying particular attention to the classification of equations and physical problems, asymptotics, discrete methods, and dimensionless forms. Subsequent chapters focus on parabolic and hyperbolic equations, elliptic equations, and special topics ranging from singularities and shocks to Navier-Stokes equations and Monte Carlo methods. The final chapter discuss the general concepts of weighted residuals, with emphasis on orthogonal collocation and the Bubnov-Galerkin method. The latter procedure is used to introduce finite elements. This book should be a valuable resource for students and practitioners in the fields of computer science and applied mathematics.
  • Stochastic Analysis

    Liber Amicorum for Moshe Zakai
    • 1st Edition
    • Eddy Mayer-Wolf + 2 more
    • English
    Stochastic Analysis: Liber Amicorum for Moshe Zakai focuses on stochastic differential equations, nonlinear filtering, two-parameter martingales, Wiener space analysis, and related topics. The selection first ponders on conformally invariant and reflection positive random fields in two dimensions; real time architectures for the Zakai equation and applications; and quadratic approximation by linear systems controlled from partial observations. Discussions focus on predicted miss, review of basic sequential detection problems, multigrid algorithms for the Zakai equation, invariant test functions and regularity, and reflection positivity. The text then takes a look at a model of stochastic differential equation in Hubert spaces applicable to Navier Stokes equation in dimension 2; wavelets as attractors of random dynamical systems; and Markov properties for certain random fields. The publication examines the anatomy of a low-noise jump filter, nonlinear filtering with small observation noise, and closed form characteristic functions for certain random variables related to Brownian motion. Topics include derivation of characteristic functions for the examples, proof of the theorem, sequential quadratic variation test, asymptotic optimal filters, mean decision time, and asymptotic optimal filters. The selection is a valuable reference for researchers interested in stochastic analysis.
  • Mollusca

    Metabolic Biochemistry and Molecular Biomechanics
    • 1st Edition
    • Peter W. Hochachka
    • English
    The Mollusca, Volume 1: Metabolic Biochemistry and Molecular Biomechanics provides information pertinent to the advances in the traditional areas of biochemistry and in other developed areas that have become a part of molluskan biochemistry. This book discusses the developments in the various aspects of molecular biomechanics and environmental biochemistry. Organized into 11 chapters, this volume begins with an overview of the phylum Mollusca. This text then provides information about the general features of the main classes and their evolution, the anatomical organization of mollusks, and a classification of the primary taxonomic groups of mollusks. Other chapters consider the functional mechanical properties of two protein rubbers found in molluskan connective tissues. This book discusses as well the mechanical properties of molluskan mucins. The final chapter deals with the significance of quinone tanning in mollusks. This book is a valuable resource for researchers of the Mollusca and other phyla, as well as to teachers and qualified graduate students. Biochemists and physiologists will also find this book useful.
  • Calculus Using Mathematica

    • 1st Edition
    • K.D. Stroyan
    • English
    Calculus Using Mathematica is intended for college students taking a course in calculus. It teaches the basic skills of differentiation and integration and how to use Mathematica, a scientific software language, to perform very elaborate symbolic and numerical computations. This is a set composed of the core text, science and math projects, and computing software for symbolic manipulation and graphics generation. Topics covered in the core text include an introduction on how to get started with the program, the ideas of independent and dependent variables and parameters in the context of some down-to-earth applications, formulation of the main approximation of differential calculus, and discrete dynamical systems. The fundamental theory of integration, analytical vector geometry, and two dimensional linear dynamical systems are elaborated as well. This publication is intended for beginning college students.
  • Coursebook for Economics

    Private and Public Choice
    • 2nd Edition
    • Richard Stroup + 2 more
    • English
    Coursebook for Economics: Private and Public Choice contains questions and problems dealing with market decisions, market process, taxes, government spending. The book is designed to help students using the textbook "Economics: Private and Public Choice, Second Edition." The text also provides a section on "Problems and Projects" which emphasizes mechanics and economic reasoning with case-study type problems, report preparation, or economic data presentation for hypothesis development. The book also provides "complex application"-type problems which can be solved by the student's utilization of economic principles to realistic situations. The text showcases selected articles in the section "Perspectives in Economics" to expand on important concepts, to explain historical viewpoints, as well as to offer original ideas of current influential economists. Among the articles are: "How Government Profits from Inflation;" "The Awful Year Inflation Ran Wild;" "How the Federal Reserve Decides How Much Money to Put into the Economy;" and "The Roller-Coaster Income Tax." The book is suitable for students of economics and business, sociologists, general readers interested in real-world economics, and policy makers involved in national economic development.
  • Leonardo Da Vinci's Elements of the Science of Man

    • 1st Edition
    • Kenneth D. Keele
    • English
    Leonardo Da Vinci’s Elements of the Science of Man describes how Da Vinci integrates his mechanical observations and experiments in mechanics into underlying principles. This book is composed of 17 chapters that highlight the principles underlying Da Vinci’s research in anatomical studies. Considerable chapters deal with Leonardo’s scientific methods and the mathematics of his pyramidal law, as well as his observations on the human and animal movements. Other chapters describe the artist’s anatomical approach to the mechanism of the human body, specifically the physiology of vision, voice, music, senses, soul, and the nervous system. The remaining chapters examine the mechanism of the bones, joints, respiration, heart, digestion, and urinary and reproductive systems.
  • 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 II is a collection of research papers on algebraic analysis and related topics in honor to Professor Mikio Sato’s 60th birthday. This volume is divided into 29 chapters and starts with research works concerning the fundamentals of KP equations, strings, Schottky problem, and the applications of transformation theory for nonlinear integrable systems to linear prediction problems and isospectral deformations,. The subsequent chapters contain papers on the approach to nonlinear integrable systems, the Hodge numbers, the stochastic different equation for the multi-dimensional weakly stationary process, and a method of harmonic analysis on semisimple symmetric spaces. These topics are followed by studies on the quantization of extended vortices, moduli space for Fuchsian groups, microfunctions for boundary value problems, and the issues of multi-dimensional integrable systems. The remaining chapters explore the practical aspects of pseudodifferential operators in hyperfunction theory, the elliptic solitons, and Carlson’s theorem for holomorphic functions. This book will prove useful to mathematicians and advance mathematics students.
  • The Antigens

    Volume IV
    • 1st Edition
    • Michael Sela
    • English
    The Antigens, Volume IV is a comprehensive treatise covering all aspects of antigens, including their chemistry and biology as well as their immunologic role and expression. Topics covered range from the immune reactions of lipids and lipid model membranes to the immunology of antibiotics and protective antigens of bacteria. Antigens of pathogenic fungi are also explored, along with adjuvants and antigenic competition. Comprised of seven chapters, this volume begins with a review of lipids as antigens, followed by a discussion on the immunological aspects of antibiotics. The next two chapters are concerned with more complex antigens, namely, bacteria and fungi, as well as the relationship between immunity and infection. The last three chapters deal with three important areas of immunology: antigenic competition, adjuvants, and lectins. In particular, the chemistry of lectins and their application to immunology are examined. This monograph will be of interest to practitioners and researchers in immunology, experimental and clinical medicine, biochemistry, and other disciplines.