Mathematics
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The Noisy Oscillator: The First Hundred Years, from Einstein Until Now
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The Noisy Oscillator: The First Hundred Years, from Einstein Until Now
by Moshe Gitterman

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This book contains comprehensive descriptions of stochastic processes described by underdamped and overdamped oscillator equations with additive and multiplicative random forcing. The latter is associated with random frequency or random damping. The...
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Infinite-Dimensional Dynamical Systems: An Introduction to Dissipative Parabolic Pde's and the Theory of Global Attractors
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Infinite-Dimensional Dynamical Systems: An Introduction to Dissipative Parabolic Pde's and the Theory of Global Attractors
by James C Robinson

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This book develops the theory of global attractors for a class of parabolic PDEs that includes reaction-diffusion equations and the Navier-Stokes equations, two examples that are treated in detail. A lengthy chapter on Sobolev spaces provides the...
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Sound & Structural Vibration 2ND Edition
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Sound & Structural Vibration 2ND Edition
by Frank J Fahy

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The first edition of Sound and Structural Vibration was written in the early 1980s. Since then, two major developments have taken place in the field of vibroacoustics. Powerful computational methods and procedures for the numerical analysis of structural...
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An Introduction to the Theory of Elasticity
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An Introduction to the Theory of Elasticity
by R. J. Atkin

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Accessible text covers deformation and stress, derivation of equations of finite elasticity, and formulation of infinitesimal elasticity with application to two- and three-dimensional static problems and elastic waves. 1980 edition....
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Stability Theory of Dynamical Systems (Lecture Notes in Computer Science)
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Stability Theory of Dynamical Systems (Lecture Notes in Computer Science)
by Nam Parshad Bhatia

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From the reviews: "This is an introductory book intended for beginning graduate students or, perhaps advanced undergraduates. ... The book has many good points: clear organization, historical notes and references at the end of every chapter, and an...
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A First Course in Dynamics: With a Panorama of Recent Developments
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A First Course in Dynamics: With a Panorama of Recent Developments
by Boris Hasselblatt

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The theory of dynamical systems has given rise to the vast new area variously called applied dynamics, nonlinear science, or chaos theory. This introductory text covers the central topological and probabilistic notions in dynamics ranging from Newtonian...
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Catastrophe Theory and Its Applications
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Catastrophe Theory and Its Applications
by Tim Poston

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First integrated treatment of main ideas behind René Thom's theory of catastrophes stresses detailed applications in the physical sciences. Mathematics of theory explained with a minimum of technicalities. Over 200 illustrations clarify text...
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Oxford Engineering Science Series #50: Geometric Methods for Discrete Dynamical Systems
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Oxford Engineering Science Series #50: Geometric Methods for Discrete Dynamical Systems
by Robert W Easton

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This book looks at dynamics as an iteration process where the output of a function is fed back as an input to determine the evolution of an initial state over time. The theory examines errors which arise from round-off in numerical simulations, from the...
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Linked : How Everything Is Connected To Everything Else and What It Means (02 Edition)
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Linked : How Everything Is Connected To Everything Else and What It Means (02 Edition)
by Albert Barabasi-laszlo

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Includes bibliographical references (p. 243-279) and index....
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An Introduction to Catastrophe Theory
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An Introduction to Catastrophe Theory
by Peter Timo Saunders

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An introduction to catastrophe theory, a mathematical theory which deals with those changes which occur abruptly rather than smoothly. Includes many applications to illustrate the different ways in which catastrophe can be used in life, physical and...
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Approximation of Large Scale Dynamical S
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Approximation of Large Scale Dynamical S
by Athanasios Antoulas

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With the increasing need for accuracy in the development of highly complex mathmatical models, the presence of limited computational accuracy and storage capabilities means model reduction is often necessary. Approximation of Large-Scale Dynamical...
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Graduate Texts in Mathematics #241: The Arithmetic of Dynamical Systems
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Graduate Texts in Mathematics #241: The Arithmetic of Dynamical Systems
by Joseph Silverman

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Preface.- An Introduction to Classical Dynamics.- Dynamics over Local Fields: Good Reduction.- Dynamics over Global Fields.- Dynamics and Moduli.- Dynamics over Local Fields: Bad Reduction.- Dynamics with an Underlying Group.- Dynamics in Dimension...
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Oxford Engineering Science Series #42: Molecular Gas Dynamics and the Direct Simulation of Gas Flows
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Oxford Engineering Science Series #42: Molecular Gas Dynamics and the Direct Simulation of Gas Flows
by G. A. Bird

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The direct simulation Monte Carlo (DSMC) method has, in recent years, become widely used for engineering and scientific studies of gas flows that involve low densities or very small physical dimensions. The method is a direct physical simulation of the...
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Impulsive and Hybrid Dynamical Systems: Stability, Dissipativity, and Control (Princeton Series in Applied Mathematics)
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Impulsive and Hybrid Dynamical Systems: Stability, Dissipativity, and Control (Princeton Series in Applied Mathematics)
by Wassim M Haddad

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This book develops a general analysis and synthesis framework for impulsive and hybrid dynamical systems. Such a framework is imperative for modern complex engineering systems that involve interacting continuous-time and discrete-time dynamics with...
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Handbook of Noise and Vibration Control
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Handbook of Noise and Vibration Control
by Malcolm J. (edt) Crocker

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Two of the most acclaimed reference works in the area of acoustics in recent years have been our Encyclopedia of Acoustics, 4 Volume set and the Handbook of Acoustics spin-off. These works, edited by Malcolm Crocker, positioned Wiley as a major player in...
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Concepts and Results in Chaotic Dynamics: A Short Course (Texts and Monographs in Physics)
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Concepts and Results in Chaotic Dynamics: A Short Course (Texts and Monographs in Physics)
by Pierre Collet

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The study of dynamical systems is a well established field. Having given graduate-level courses on the subject for many years, the authors have now written this book to provide a panorama of the aspects that are of interest to mathematicians and...
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Classical Elasticity with Mathematica
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Classical Elasticity with Mathematica
by Andrei Constantinescu

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This book is intended for researchers, engineers and students in solid mechanics, materials science and physics who are interested in using the power of modern computing to solve a wide variety of problems of both practical and fundamental significance...
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Complex Dynamics 2ND Edition
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Complex Dynamics 2ND Edition
by Lennart Carleson

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Complex Dynamics discusses the properties of conformal mappings in the complex plane, a subject that is closely connected to the study of fractals and chaos. Indeed the culmination of the book is a detailed study of the famous Mandelbrot set, which...
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Monographs and Textbooks in Pure and Applied Mathematics #194: Nonlinear Wave Equations
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Monographs and Textbooks in Pure and Applied Mathematics #194: Nonlinear Wave Equations
by Satyan Kichenassamy

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This work examines the mathematical aspects of nonlinear wave propagation, emphasizing nonlinear hyperbolic problems. It introduces the tools that are most effective for exploring the problems of local and global existence, singularity formation, and...
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Fundamental Solutions in Elastodynamics: A Compendium
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Fundamental Solutions in Elastodynamics: A Compendium
by Eduardo Kausel

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This work is a compilation of fundamental solutions (Green's functions) for classical or canonical problems in elastodynamics presented with a common format and notation. These formulas describe the displacements and stresses elicited by dynamic sources...
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