"This important volume is the first part of a two-part textbook (the second part is entitled Conservation laws and elliptic equations). The text includes interesting homework problems that implement different aspects of most of the schemes discussed. The implementation aspect of this text includes a large amount of computing. Other useful aspects of computing included in this volume are symbolic computing and the use of graphics for analysis. Prerequisites suggested for using this book might include one semester of partial differential equations and some programming capability. This book will be a good reference text for students." -- MATHEMATICAL REVIEWS

Graduate studies in Mathematics part one: representation for solutons part two: theory for partial differential equations part three: theory for nonlinear partial differential equations

今天终于把这本书找到了，要学微分进化（Differential Evolution）算法的必备看书，写得非常好，Kenneth V. Price · Rainer M. Storn编著，只要学微分进化算法的必备用书

Stochastic Differential Equations And Applications(Mao).pdf (Rafail Khasminskii , Grigori Noah Milstein)

Differential Equations and Linear Algebra (4th Edition) By 作者: C. Henry Edwards – David E. Penney – David Calvis ISBN-10 书号: 013449718X ISBN-13 书号: 9780134497181 Edition 版本: 4 出版日期: 2017-01-14 pages 页数: (768 ) Pearson纯净原版超清 $204.4 For courses in Differential Equations and Linear Algebra. Concepts, methods, and core topics covering elementary differential equations and linear algebra through real-world applications In a contemporary introduction to differential equations and linear algebra, acclaimed authors Edwards and Penney combine core topics in elementary differential equations with concepts and methods of elementary linear algebra. Renowned for its real-world applications and blend of algebraic and geometric approaches, Differential Equations and Linear Algebra introduces you to mathematical modeling of real-world phenomena and offers the best problems sets in any differential equations and linear algebra textbook. The 4th Edition includes fresh new computational and qualitative flavor evident throughout in figures, examples, problems, and applications. Additionally, an Expanded Applications website containing expanded applications and programming tools is now available. Contents Application Modules Preface 1 First-Order Differential Equations 2 Mathematical Models and Numerical Methods 3Linear Systemsand Matrices 4Vector Spaces 5Higher-Order Linear Differential Equations 6Eigenvalues and Eigenvectors 7 Linear Systems of Differential Equations 8 Matrix Exponential Methods 9 Nonlinear Systems and Phenomena 10 Laplace Transform Methods 11 Power Series Methods References for Further Study Appendix A:Existence and Uniqueness of Solutions Appendix B:Theory of Determinants Answers to Selected Problems

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Elementary Differential Geometry.pdf Barrett O'Neill

本书的目的是为解决由科学，工程和数学金融领域的随机微分方程模型提出的问题提供有益的理解。 通常，这些问题需要使用数值方法来获得解决方案。

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曲线曲面的微分几何 英文原版