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Elements of Advanced Mathematical Analysis for Physics and Engineering

by Filippo Gazzola, Alberto Ferrero & Maurizio Zanotti

Deep comprehension of applied sciences requires a solid knowledge of Mathematical Analysis. For most of high level scientific research, the good understanding of Functional Analysis and weak solutions to differential...

Continuum Mechanics: The Birthplace of Mathematical Models

by Myron B. Allen

Presents a self-contained introduction to continuum mechanics that illustrates how many of the important partial differential equations of applied mathematics arise from continuum modeling principles


Symmetry Analysis of Differential Equations: An Introduction

by Daniel J. Arrigo

A self-contained introduction to the methods and techniques of symmetry analysis used to solve ODEs and PDEs

Symmetry Analysis of Differential Equations: An Introduction presents an accessible approach to the...

Solutions Manual to Accompany Beginning Partial Differential Equations

by Peter V. O'Neil

Solutions Manual to Accompany Beginning Partial Differential Equations, 3rd Edition

Featuring a challenging, yet accessible, introduction to partial differential equations, Beginning 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...

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...

Beginning Partial Differential Equations

by Peter V. O'Neil

A broad introduction to PDEs with an emphasis on specialized topics and applications occurring in a variety of fields

Featuring a thoroughly revised presentation of topics, Beginning Partial Differential Equations,...

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.

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...

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...

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...

Differential Equation Analysis in Biomedical Science and Engineering: Ordinary Differential Equation Applications with R

by W. E. Schiesser & William E. Schiesser

Features a solid foundation of mathematical and computational tools to formulate and solve real-world ODE problems across various fields

With a step-by-step approach to solving ordinary differential equations...

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...

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...

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...

Hill's Equation

by Wilhelm Magnus & Stanley Winkler

This two-part treatment explains basic theory and details, including oscillatory solutions, intervals of stability and instability, discriminants, and coexistence. Particular attention to stability problems...

Introduction to Computation and Modeling for Differential Equations

by Lennart Edsberg

An introduction to scientific computing for differential equations

Introduction to Computation and Modeling for Differential Equations provides a unified and integrated view of numerical analysis, mathematical...

An Introduction to Phase-Integral Methods

by John Heading

Introductory treatment steers a course between simplistic and rigorous approaches to provide a concise overview for advanced undergraduates and graduate students. Topics include Stokes phenomenon, one and two...

First-Order Partial Differential Equations, Vol. 2

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

Second volume of a highly regarded 2-volume set, fully usable on its own, examines physical systems that can usefully be modeled by equations of the first order. Exercises at the end of most chapters, 1989 edition....

Ordinary and Partial Differential Equations

by Victor Henner, Tatyana Belozerova & Mikhail Khenner

Covers ODEs and PDEs-in One Textbook

Until now, a comprehensive textbook covering both ordinary differential equations (ODEs) and partial differential equations (PDEs) didn't exist. Fulfilling this need, Ordinary...