Mathematics
Differential Equations


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Pure and Applied Mathematics: A Wiley-Interscience Series of #85: Beginning Partial Differential Equations
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Pure and Applied Mathematics: A Wiley-Interscience Series of #85: Beginning Partial Differential Equations
by Peter V. O'neil

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A rigorous, yet accessible, introduction to partial differential equations--updated in a valuable new edition Beginning Partial Differential Equations, Second Edition provides a comprehensive introduction to partial differential equations (PDEs) with a...
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Pure and Applied Mathematics: A Wiley-Interscience Series of #89: An Introduction to Nonlinear Partial Differential Equations
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Pure and Applied Mathematics: A Wiley-Interscience Series of #89: An Introduction to Nonlinear Partial Differential Equations
by J. David Logan

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Praise for the First Edition: This book is well conceived and well written. The author has succeeded in producing a text on nonlinear PDEs that is not only quite readable but also accessible to students from diverse backgrounds. --SIAM Review A practical...
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Differential Equations - Student Solutions Manual (3RD 06 Edition)
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Differential Equations - Student Solutions Manual (3RD 06 Edition)
by Paul Blanchard

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Written by the authors, the Student Solutions Manual contains worked solutions to all of the odd-numbered exercises in the text....
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Texts in Applied Mathematics
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Texts in Applied Mathematics " #56: Nodal Discontinuous Galerkin Methods: Algorithms, Analysis, and Applications
by Jan S. Hesthaven

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The text offers an introduction to the key ideas, basic analysis, and efficient implementation of discontinuous Galerkin finite element methods (DG-FEM) for the solution of partial differential equations. All key theoretical results are either derived or...
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Introduction to Partial Differential Equations with Applications
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Introduction to Partial Differential Equations with Applications
by E C Zachmanoglou

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This introductory text explores the essentials of partial differential equations applied to common problems in engineering and the physical sciences. It reviews calculus and ordinary differential equations, explores integral curves an surfaces of vector...
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Partial Differential Equations Analytica
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Partial Differential Equations Analytica
by Mark Gockenbach

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This introductory text is the first at undergraduate level to integrate modern and classical techniques for solving PDEs....
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Mathematical problems from combustion theory
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Mathematical problems from combustion theory
by Jerrold Bebernes

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This book systematically develops models of Spatially-varying transient processes describing thermal events. Such events should be entirely predictable for a given set of physical properties, system geometry, and initial-boundary conditions. For the...
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Dynamical Systems with Applications Using Mathematica
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Dynamical Systems with Applications Using Mathematica
by Stephen Lynch

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Dynamical Systems with Applications Using Mathematica(R) provides an introduction to the theory of dynamical systems with the aid of the Mathematica computer algebra package. The book has a very hands-on approach and takes the reader from basic theory to...
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Differential Equations
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Differential Equations
by K A Stroud

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Offers many practical do??'s and don???ts while covering all the popular Fanuc control systems exclusively. Numerous examples and sample programs are used throughout and serve as practical applications of the techniques presented and as the basis of...
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Modeling Differential Equations in Biology (01 Edition)
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Modeling Differential Equations in Biology (01 Edition)
by Clifford Henry Taubes

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This book focuses on the differential equations and related subjects that are commonly used today by working life scientists. It emphasizes both "the mathematics" and "how the mathematics is employed" in order to introduce some potentially useful tools...
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Differential Equations I (Essentials)
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Differential Equations I (Essentials)
by And Rea Research & Education Association

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Deals with first- and second-order equations, series solutions, higher-order linear equations, and the Laplace transform....
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Differential equations :a dynamical systems approach
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Differential equations :a dynamical systems approach
by John H. Hubbard

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This is a corrected third printing of the first part of the text Differential Equations: A Dynamical Systems Approach written by John Hubbard and Beverly West. The authors' main emphasis in this book is on ordinary differential equations. The book is...
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Stability & Periodic Solutions of Ordinary & Functional Differential Equations
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Stability & Periodic Solutions of Ordinary & Functional Differential Equations
by T A Burton

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This book's coverage of differential equations begins with the structure of the solution space and the stability and periodic properties of linear ordinary and Volterra differential equations. Discusses the fixed-point theorems of Banach, Brouwer...
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Lectures on Cauchy's Problem: In Linear Partial Differential Equations (Dover Phoenix Editions)
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Lectures on Cauchy's Problem: In Linear Partial Differential Equations (Dover Phoenix Editions)
by Jacques Hadamard

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"Would well repay study by most theoretical physicists."--Physics Today "An overwhelming influence on subsequent work on the wave equation."--Science Progress "One of the classical treatises on hyperbolic equations."--Royal Naval Scientific Service...
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Singular-perturbation theory :an introduction with applications
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Singular-perturbation theory :an introduction with applications
by Donald R Smith

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This book presents an introduction to singular-perturbation problems, problems which depend on a parameter in such a way that solutions behave nonuniformly as the parameter tends toward some limiting value of interest. The author considers and solves a...
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Nonlinear Mechanics, Groups & Symmetry
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Nonlinear Mechanics, Groups & Symmetry
by Iu A. Mitropol'skii

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This unique monograph deals with the development of asymptotic methods of perturbation theory, making wide use of group- theoretical techniques. Various assumptions about specific group properties are investigated, and are shown to lead to modifications...
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Elements of the Mathematical Theory of Multi-Frequency Oscillations
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Elements of the Mathematical Theory of Multi-Frequency Oscillations
by A. M. Samoilenko

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Translated from the original Russian edition of 1987 (Nauka, Moscow), this volume deals with the theory of multi-frequency oscillations as a motion of a dynamical system which describes a recurrent trajectory on an invariant toroidal manifold of the...
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The Qualitative Theory of Ordinary Differential Equations: An Introduction
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The Qualitative Theory of Ordinary Differential Equations: An Introduction
by Fred Brauer

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Superb, self-contained graduate-level text covers standard theorems concerning linear systems, existence and uniqueness of solutions, and dependence on parameters. Major focus on stability theory and its applications to oscillation phenomena, self...
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Partial Differential Equations : Introduction (04 Edition)
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Partial Differential Equations : Introduction (04 Edition)
by David Colton

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This text offers students in mathematics, engineering, and the applied sciences a solid foundation for advanced studies in mathematics. Classical topics presented in a modern context include coverage of integral equations and basic scattering theory...
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Computer Methods for Ordinary Differential Equations & Differential-Algebraic Equations
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Computer Methods for Ordinary Differential Equations & Differential-Algebraic Equations
by Uri M Ascher

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This book contains all the material necessary for a course on the numerical solution of differential equations....
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