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Finite Difference Equations

Finite Difference Equations Author Hyman Levy
ISBN-10 9780486672601
Release 1961
Pages 278
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Comprehensive study focuses on use of calculus of finite differences as an approximation method for solving troublesome differential equations. Elementary difference operations; interpolation and extrapolation; modes of expansion of the solutions of nonlinear equations, applications of difference equations, difference equations associated with functions of two variables, more. Exercises with answers. 1961 edition.



Ordinary Differential Equations

Ordinary Differential Equations Author Morris Tenenbaum
ISBN-10 9780486649405
Release 1963
Pages 808
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Skillfully organized introductory text examines origin of differential equations, then defines basic terms and outlines the general solution of a differential equation. Subsequent sections deal with integrating factors; dilution and accretion problems; linearization of first order systems; Laplace Transforms; Newton's Interpolation Formulas, more.



Introduction to Difference Equations

Introduction to Difference Equations Author Samuel Goldberg
ISBN-10 9780486650845
Release 1958
Pages 260
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Exceptionally clear exposition of an important mathematical discipline and its applications to sociology, economics, and psychology. Topics include calculus of finite differences, difference equations, matrix methods, and more. 1958 edition.



An Introduction to Differential Equations and Their Applications

An Introduction to Differential Equations and Their Applications Author Stanley J. Farlow
ISBN-10 9780486135137
Release 2012-10-23
Pages 640
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This introductory text explores 1st- and 2nd-order differential equations, series solutions, the Laplace transform, difference equations, much more. Numerous figures, problems with solutions, notes. 1994 edition. Includes 268 figures and 23 tables.



Introduction to Partial Differential Equations

Introduction to Partial Differential Equations Author Donald Greenspan
ISBN-10 9780486150932
Release 2012-05-04
Pages 204
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Designed for use in a 1-semester course by seniors and beginning graduate students, this rigorous presentation explores practical methods of solving differential equations, plus the unifying theory underlying the mathematical superstructure. Topics include basic concepts, Fourier series, 2nd-order partial differential equations, wave equation, potential equation, heat equation, and more. Includes exercises. 1961 edition.



Introduction to Nonlinear Differential and Integral Equations

Introduction to Nonlinear Differential and Integral Equations Author Harold Thayer Davis
ISBN-10 0486609715
Release 1962
Pages 566
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Topics covered include differential equations of the 1st order, the Riccati equation and existence theorems, 2nd order equations, elliptic integrals and functions, nonlinear mechanics, nonlinear integral equations, more. Includes 137 problems.



Introduction to Partial Differential Equations with Applications

Introduction to Partial Differential Equations with Applications Author E. C. Zachmanoglou
ISBN-10 9780486132174
Release 2012-04-20
Pages 432
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This text explores the essentials of partial differential equations as applied to engineering and the physical sciences. Discusses ordinary differential equations, integral curves and surfaces of vector fields, the Cauchy-Kovalevsky theory, more. Problems and answers.



Introduction to Linear Algebra and Differential Equations

Introduction to Linear Algebra and Differential Equations Author John W. Dettman
ISBN-10 9780486158310
Release 2012-10-05
Pages 432
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Excellent introductory text focuses on complex numbers, determinants, orthonormal bases, symmetric and hermitian matrices, first order non-linear equations, linear differential equations, Laplace transforms, Bessel functions, more. Includes 48 black-and-white illustrations. Exercises with solutions. Index.



An Introduction to Difference Equations

An Introduction to Difference Equations Author Saber N. Elaydi
ISBN-10 9781475791686
Release 2013-06-29
Pages 390
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This book grew out of lecture notes I used in a course on difference equations that I taught at Trinity University for the past five years. The classes were largely pop ulated by juniors and seniors majoring in Mathematics, Engineering, Chemistry, Computer Science, and Physics. This book is intended to be used as a textbook for a course on difference equations at the level of both advanced undergraduate and beginning graduate. It may also be used as a supplement for engineering courses on discrete systems and control theory. The main prerequisites for most of the material in this book are calculus and linear algebra. However, some topics in later chapters may require some rudiments of advanced calculus. Since many of the chapters in the book are independent, the instructor has great flexibility in choosing topics for the first one-semester course. A diagram showing the interdependence of the chapters in the book appears following the preface. This book presents the current state of affairs in many areas such as stability, Z-transform, asymptoticity, oscillations and control theory. However, this book is by no means encyclopedic and does not contain many important topics, such as Numerical Analysis, Combinatorics, Special functions and orthogonal polyno mials, boundary value problems, partial difference equations, chaos theory, and fractals. The nonselection of these topics is dictated not only by the limitations imposed by the elementary nature of this book, but also by the research interest (or lack thereof) of the author.



Ordinary Differential Equations and Stability Theory

Ordinary Differential Equations and Stability Theory Author David A. Sánchez
ISBN-10 9780486638287
Release 1979
Pages 164
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Beginning with a general discussion of the linear equation, topics developed include stability theory for autonomous and nonautonomous systems. Two appendices are also provided, and there are problems at the end of each chapter — 55 in all. Unabridged republication of the original (1968) edition. Appendices. Bibliography. Index. 55 problems.



Partial Differential Equations

Partial Differential Equations Author David Colton
ISBN-10 9780486138435
Release 2012-06-14
Pages 320
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This text offers students in mathematics, engineering, and the applied sciences a solid foundation for advanced studies in mathematics. Features coverage of integral equations and basic scattering theory. Includes exercises, many with answers. 1988 edition.



An Introduction to Ordinary Differential Equations

An Introduction to Ordinary Differential Equations Author Earl A. Coddington
ISBN-10 9780486131832
Release 2012-04-20
Pages 320
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A thorough, systematic first course in elementary differential equations for undergraduates in mathematics and science, requiring only basic calculus for a background. Includes many exercises and problems, with answers. Index.



The Qualitative Theory of Ordinary Differential Equations

The Qualitative Theory of Ordinary Differential Equations Author Fred Brauer
ISBN-10 9780486151519
Release 2012-12-11
Pages 320
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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. Focuses on stability theory and its applications to oscillation phenomena, self-excited oscillations, more. Includes exercises.



Ordinary Differential Equations and Their Solutions

Ordinary Differential Equations and Their Solutions Author George Moseley Murphy
ISBN-10 9780486485911
Release 2011
Pages 451
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This treatment presents most of the methods for solving ordinary differential equations and systematic arrangements of more than 2,000 equations and their solutions. The material is organized so that standard equations can be easily found. Plus, the substantial number and variety of equations promises an exact equation or a sufficiently similar one. 1960 edition.



Lectures on Ordinary Differential Equations

Lectures on Ordinary Differential Equations Author Witold Hurewicz
ISBN-10 9780486797212
Release 2014-07-21
Pages 144
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Introductory treatment explores existence theorems for first-order scalar and vector equations, basic properties of linear vector equations, and two-dimensional nonlinear autonomous systems. "A rigorous and lively introduction." — The American Mathematical Monthly. 1958 edition.



Modelling with Differential and Difference Equations

Modelling with Differential and Difference Equations Author Glenn Fulford
ISBN-10 052144618X
Release 1997-06-12
Pages 405
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The theme of this book is modeling the real world using mathematics. The authors concentrate on the techniques used to set up mathematical models and describe many systems in full detail, covering both differential and difference equations in depth. Among the broad spectrum of topics studied in this book are: mechanics, genetics, thermal physics, economics and population studies.



Applied Partial Differential Equations

Applied Partial Differential Equations Author Paul DuChateau
ISBN-10 9780486141879
Release 2012-10-30
Pages 640
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DIVBook focuses mainly on boundary-value and initial-boundary-value problems on spatially bounded and on unbounded domains; integral transforms; uniqueness and continuous dependence on data, first-order equations, and more. Numerous exercises included. /div