Ordinary Differential Equations in the Complex Domain

Author: Einar Hille
Publisher: Courier Corporation
ISBN: 0486696200
Release Date: 1997
Genre: Mathematics

Graduate-level text offers full treatments of existence theorems, representation of solutions by series, theory of majorants, dominants and minorants, questions of growth, much more. Includes 675 exercises. Bibliography.

Ordinary Differential Equations

Author: Edward L. Ince
Publisher: Courier Corporation
ISBN: 9780486158211
Release Date: 2012-04-27
Genre: Mathematics

Among the topics covered in this classic treatment are linear differential equations; solution in an infinite form; solution by definite integrals; algebraic theory; Sturmian theory and its later developments; much more. "Highly recommended" — Electronics Industries.

Asymptotic Expansions for Ordinary Differential Equations

Author: Wolfgang Wasow
Publisher: Courier Dover Publications
ISBN: 9780486824581
Release Date: 2018-03-21
Genre: Mathematics

This outstanding text concentrates on the mathematical ideas underlying various asymptotic methods for ordinary differential equations that lead to full, infinite expansions. "A book of great value." — Mathematical Reviews. 1976 revised edition.

Linear Differential Equations in the Complex Domain

Author: Yasutaka Sibuya
Publisher: American Mathematical Soc.
ISBN: 9780821846766
Release Date: 2008-06-26
Genre: Mathematics

This book is a translation of a 1976 book originally written in Japanese. The main attention is paid to intrinsic aspects of problems related to linear ordinary differential equations in complex domains. Examples of the problems discussed in the book include the Riemann problem on the Riemann sphere, a characterization of regular singularities, and a classification of meromorphic differential equations. Since the original book was published, many new ideas have developed, such as applications of D-modules, Gevrey asymptotics, cohomological methods, $k$-summability, and studies of differential equations containing parameters. Five appendices, added in the present edition, briefly cover these new ideas. In addition, more than 100 references have been added. This book introduces the reader to the essential facts concerning the structure of solutions of linear differential equations in the complex domain and illuminates the intrinsic meaning of older results by means of more modern ideas. A useful reference for research mathematicians, this book would also be suitable as a textbook in a graduate course or seminar.

A First Course in Partial Differential Equations

Author: H. F. Weinberger
Publisher: Courier Corporation
ISBN: 9780486132044
Release Date: 2012-04-20
Genre: Mathematics

Suitable for advanced undergraduate and graduate students, this text presents the general properties of partial differential equations, including the elementary theory of complex variables. Solutions. 1965 edition.

Ordinary Differential Equations

Author: Morris Tenenbaum
Publisher: Courier Corporation
ISBN: 9780486649405
Release Date: 1963
Genre: Mathematics

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.

Linear Differential Operators

Author: Cornelius Lanczos
Publisher: Courier Corporation
ISBN: 0486680355
Release Date: 1997
Genre: Mathematics

The basic and characteristic properties of linear differential operators are explored in this graduate-level text. No specific knowledge beyond the usual introductory courses is necessary. Includes 350 problems and solution.

Differential Equations

Author: F. G. Tricomi
Publisher: Courier Corporation
ISBN: 9780486488196
Release Date: 2012-06
Genre: Mathematics

This practical, concise teaching text by a noted educator covers the essential background for advanced courses in mathematical analysis. Topics include the existence and uniqueness theorem, behavior of characteristics of a first-order equation, boundary problems for second-order linear equations, asymptotic methods, and differential equations in the complex field. 1961 edition.

Elementary Functional Analysis

Author: Georgi E. Shilov
Publisher: Courier Corporation
ISBN: 9780486318684
Release Date: 2013-04-15
Genre: Mathematics

Introductory text covers basic structures of mathematical analysis (linear spaces, metric spaces, normed linear spaces, etc.), differential equations, orthogonal expansions, Fourier transforms, and more. Includes problems with hints and answers. Bibliography. 1974 edition.

Lectures on Ordinary Differential Equations

Author: Witold Hurewicz
Publisher: Courier Corporation
ISBN: 0486495108
Release Date: 2002
Genre: Mathematics

"A rigorous and lively introduction . . . careful and lucid . . ."--The American Mathematical Monthly. Excellent hardcover edition. This concise and idea-rich introduction to a topic of perennial interest in mathematics is written so clearly and lucidly, it is well within the reach of senior mathematics students. It covers mainly existence theorems for first-order scalar and vector equations, basic properties of linear vector equations, and two-dimensional nonlinear autonomous systems. Throughout, the emphasis is on geometric methods. Witold Hurewicz was a world-class mathematician whose untimely death in 1956 deprived the mathematics community of one of its leading lights. His contributions to dimension theory, homotopy and other topics are outlined by Professor Solomon Lefschetz in a prefatory article "Witold Hurewicz in Memoriam" included in this volume. Also included is a list of books on differential equations for those interested in further reading, and a bibliography of Hurewicz's published works. Unabridged Dover republication of the work originally published by MIT Press, 1958. Prefatory article "Witold Hurewicz in Memoriam" by Solomon Lefschetz. List of References. Index. 26 figures.

Modern Methods in Partial Differential Equations

Author: Martin Schechter
Publisher: Courier Corporation
ISBN: 9780486492964
Release Date: 2014-01-15
Genre: Mathematics

When first published in 1977, this volume made recent accomplishments in its field available to advanced undergraduates and beginning graduate students of mathematics. Now it remains a permanent, much-cited contribution to the ever-expanding literature.

Introduction to Partial Differential Equations

Author: Arne Broman
Publisher: Courier Corporation
ISBN: 9780486153018
Release Date: 2012-04-27
Genre: Mathematics

The self-contained treatment covers Fourier series, orthogonal systems, Fourier and Laplace transforms, Bessel functions, and partial differential equations of the first and second orders. 266 exercises with solutions. 1970 edition.