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Dynamical Systems

by Shlomo Sternberg

Celebrated mathematician Shlomo Sternberg, a pioneer in the field of dynamical systems, created this modern one-semester introduction to the subject for his classes at Harvard University. Its wide-ranging treatment...

Generalized Functions and Partial Differential Equations

by Avner Friedman

This self-contained treatment develops the theory of generalized functions and the theory of distributions, and it systematically applies them to solving a variety of problems in partial differential equations....

Stability & Periodic Solutions of Ordinary & Functional Differential Equations

by T. A. Burton

This book's discussion of a broad class of differential equations will appeal to professionals as well as graduate students. Beginning with the structure of the solution space and the stability and periodic...

Differential Equations

by Harry Hochstadt

Modern approach presents subject in terms of ideas and concepts rather than special cases and tricks. 134 problems. Preface. Index.

First-Order Partial Differential Equations, Vol. 1

by Hyun-Ku Rhee, Rutherford Aris & Neal R. Amundson

First volume of 2-volume text, fully usable on its own, provides excellent treatment of theory, along with applications and examples. Exercises at the end of most sections. 1986 edition. Includes 189 black-and-white...

Modern Calculus and Analytic Geometry

by Richard A. Silverman

Highly readable, self-contained text provides clear explanations for students at all levels of mathematical proficiency. Over 1,600 problems, many with detailed answers. Corrected 1969 edition. Includes 394...

Hilbert Space Methods in Partial Differential Equations

by Ralph E. Showalter

This graduate-level text opens with an elementary presentation of Hilbert space theory sufficient for understanding the rest of the book. Additional topics include boundary value problems, evolution equations,...

Linear Integral Equations

by William Vernon Lovitt

Not only general theory of linear equations but also differential equations, calculus of variations, and special areas in mathematical physics. Discusses Fredholm’s equation, Hilbert-Schmidt theory, and auxiliary...

Distribution Theory and Transform Analysis: An Introduction to Generalized Functions, with Applications

by A.H. Zemanian

This well-known text provides a relatively elementary introduction to distribution theory and describes generalized Fourier and Laplace transformations and their applications to integrodifferential equations,...

Effective Dynamics of Stochastic Partial Differential Equations

by Jinqiao Duan & Wei Wang

Effective Dynamics of Stochastic Partial Differential Equations focuses on stochastic partial differential equations with slow and fast time scales, or large and small spatial scales. The authors have developed...

Integral Equations

by F. G. Tricomi

Authoritative, well-written treatment of extremely useful mathematical tool with wide applications. Topics include Volterra Equations, Fredholm Equations, Symmetric Kernels and Orthogonal Systems of Functions,...

Schaum's Outline of Differential Equations, 4th Edition

by Richard Bronson & Gabriel Costa

Tough Test Questions? Missed Lectures? Not Enough Time?

Fortunately, there's Schaum's. This all-in-one-package includes more than 550 fully solved problems, examples, and practice exercises to sharpen your problem-solving...

Differential Equations: A Concise Course

by H. S. Bear

First-rate introduction for undergraduates examines first order equations, complex-valued solutions, linear differential operators, the Laplace transform, Picard's existence theorem, and much more. Includes...

Problems in Differential Equations

by J. L. Brenner

More than 900 problems and answers explore applications of differential equations to vibrations, electrical engineering, mechanics, and physics. Problem types include both routine and nonroutine, and stars indicate...

Introduction to Partial Differential Equations and Hilbert Space Methods

by Karl E. Gustafson

Easy-to-use text examines principal method of solving partial differential equations, 1st-order systems, computation methods, and much more. Over 600 exercises, with answers for many. Ideal for a 1-semester...

The Qualitative Theory of Ordinary Differential Equations: An Introduction

by Fred Brauer & John A. Nohel

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...

Ordinary Differential Equations

by Edward L. Ince

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;...

Lectures on Partial Differential Equations

by I. G. Petrovsky

Graduate-level exposition by noted Russian mathematician offers rigorous, readable coverage of classification of equations, hyperbolic equations, elliptic equations, and parabolic equations. Translated from...

Kernel Functions and Elliptic Differential Equations in Mathematical Physics

by Stefan Bergman & Menahem Schiffer

Covers the theory of boundary value problems in partial differential equations and discusses a portion of the theory from a unifying point of view while providing an introduction to each branch of its applications....

Stability by Fixed Point Theory for Functional Differential Equations

by T. A. Burton

The first general introduction to stability of ordinary and functional differential equations by means of fixed point techniques, this text is suitable for advanced undergraduates and graduate students. 2006...