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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...

**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**

Written...

**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, 3rd Edition

Featuring a challenging, yet accessible, introduction to partial differential equations, *Beginning Partial Differential Equations...*

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...

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...

**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,...*

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

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 focuses on stochastic partial differential equations with slow and fast time scales, or large and small spatial scales. The authors have developed...

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...

**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...

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...**

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...

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...

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...

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...

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...

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....

*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...**