Linear Integral Equations
Author: William Vernon Lovitt
Publisher:
Published: 1924
Total Pages: 280
ISBN-13:
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Principles of Differential and Integral Equations
Author: C. Corduneanu
Publisher: American Mathematical Soc.
Published: 1977-01-30
Total Pages: 218
ISBN-13: 0821846221
DOWNLOAD EBOOKIn summary, the author has provided an elegant introduction to important topics in the theory of ordinary differential equations and integral equations. -- Mathematical Reviews This book is intended for a one-semester course in differential and integral equations for advanced undergraduates or beginning graduate students, with a view toward preparing the reader for graduate-level courses on more advanced topics. There is some emphasis on existence, uniqueness, and the qualitative behavior of solutions. Students from applied mathematics, physics, and engineering will find much of value in this book. The first five chapters cover ordinary differential equations. Chapter 5 contains a good treatment of the stability of ODEs. The next four chapters cover integral equations, including applications to second-order differential equations. Chapter 7 is a concise introduction to the important Fredholm theory of linear integral equations. The final chapter is a well-selected collection of fascinating miscellaneous facts about differential and integral equations. The prerequisites are a good course in advanced calculus, some preparation in linear algebra, and a reasonable acquaintance with elementary complex analysis. There are exercises throughout the text, with the more advanced of them providing good challenges to the student.
Ordinary Differential Equations
Author: Morris Tenenbaum
Publisher: Courier Corporation
Published: 1985-10-01
Total Pages: 852
ISBN-13: 0486649407
DOWNLOAD EBOOKSkillfully 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.
Calculus for the Ambitious
Author: T. W. Körner
Publisher: Cambridge University Press
Published: 2014-05-29
Total Pages: 179
ISBN-13: 1107063922
DOWNLOAD EBOOKA short introduction perfect for any 16- to 18-year-old, about to begin studies in mathematics.
Handbook of Integral Equations
Author: Andrei D. Polyanin
Publisher: CRC Press
Published: 2008-02-12
Total Pages: 1143
ISBN-13: 0203881052
DOWNLOAD EBOOKUnparalleled in scope compared to the literature currently available, the Handbook of Integral Equations, Second Edition contains over 2,500 integral equations with solutions as well as analytical and numerical methods for solving linear and nonlinear equations. It explores Volterra, Fredholm, WienerHopf, Hammerstein, Uryson, and other equa
Introduction to Nonlinear Differential and Integral Equations
Author: Harold Thayer Davis
Publisher:
Published: 1960
Total Pages: 590
ISBN-13:
DOWNLOAD EBOOKElementary Differential and Integral Calculus
Author: G. Lewingdon Parsons
Publisher: Cambridge University Press
Published: 2016-07-28
Total Pages: 379
ISBN-13: 1316612694
DOWNLOAD EBOOKOriginally published in 1936, this book was written with the intention of preparing candidates for the Higher Certificate Examinations. The text was created to bridge the gap between introductions to differential and integral calculus and advanced textbooks on the subject. This volume will be of value to anyone with an interest in differential and integral calculus, mathematics and the history of education.
Differential Equations
Author: Steven G. Krantz
Publisher: CRC Press
Published: 2015-10-07
Total Pages: 481
ISBN-13: 1498735029
DOWNLOAD EBOOKDifferential Equations: Theory, Technique, and Practice with Boundary Value Problems presents classical ideas and cutting-edge techniques for a contemporary, undergraduate-level, one- or two-semester course on ordinary differential equations. Authored by a widely respected researcher and teacher, the text covers standard topics such as partial diff
Integral Equations and Their Applications
Author: Matiur Rahman
Publisher: WIT Press
Published: 2007
Total Pages: 385
ISBN-13: 1845641019
DOWNLOAD EBOOKThe book deals with linear integral equations, that is, equations involving an unknown function which appears under the integral sign and contains topics such as Abel's integral equation, Volterra integral equations, Fredholm integral integral equations, singular and nonlinear integral equations, orthogonal systems of functions, Green's function as a symmetric kernel of the integral equations.
Techniques of Functional Analysis for Differential and Integral Equations
Author: Paul Sacks
Publisher: Academic Press
Published: 2017-05-16
Total Pages: 322
ISBN-13: 0128114576
DOWNLOAD EBOOKTechniques of Functional Analysis for Differential and Integral Equations describes a variety of powerful and modern tools from mathematical analysis, for graduate study and further research in ordinary differential equations, integral equations and partial differential equations. Knowledge of these techniques is particularly useful as preparation for graduate courses and PhD research in differential equations and numerical analysis, and more specialized topics such as fluid dynamics and control theory. Striking a balance between mathematical depth and accessibility, proofs involving more technical aspects of measure and integration theory are avoided, but clear statements and precise alternative references are given . The work provides many examples and exercises drawn from the literature. - Provides an introduction to mathematical techniques widely used in applied mathematics and needed for advanced research in ordinary and partial differential equations, integral equations, numerical analysis, fluid dynamics and other areas - Establishes the advanced background needed for sophisticated literature review and research in differential equations and integral equations - Suitable for use as a textbook for a two semester graduate level course for M.S. and Ph.D. students in Mathematics and Applied Mathematics
