Differential Equations and Boundary Value Problems: Computing and Modeling (3版)

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【原文書】 書名：Differential Equations and Boundary Value Problems: Computing and Modeling 作者：Edwards 出版社：PEARSON 出版日期：2016/04/05 ISBN：9781292108773

Boyce`s Elementary Differential Equations and Boundary Value Problems (12版)

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書名：Boyce`s Elementary Differential Equations and Boundary Value Problems 12/e 作者：Boyce 裝訂：平裝 出版社：John Wiley 出版日期：2022/08/00 ISBN：9781119820512 目錄 TABLE OF CONTENTS  1 Introduction      2 First-Order Differential Equations      3 Second-Order Linear Differential Equations      4 Higher-Order Linear Differential Equations      5 Series Solutions of First-Order and Second-Order Linear Equations      6 Systems of First-Order Linear Equations      7 The Laplace Transform      8 Numerical Methods of Solving First Order Equations  9 Nonlinear Differential Equations and Stability      10 Partial Differential Equations and Fourier Series      11 Boundary Value Problems and Sturm-Liouville Theory      Web Appendix  Special Functions: On Legendre Polynomials and Functions     ANSWERS TO PROBLEMS   INDEX 

Instructor's Solution Manual to accompany Elementary Differential Equations and Elementary Differential Equations w/ Boundary Value Problems (9版)

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【簡介】 Written from the perspective of the applied mathematician, the latest edition of this bestselling book focuses on the theory and practical applications of Differential Equations to engineering and the sciences. Emphasis is placed on the methods of solution, analysis, and approximation. Use of technology, illustrations, and problem sets help readers develop an intuitive understanding of the material. Historical footnotes trace the development of the discipline and identify outstanding individual contributions. This book builds the foundation for anyone who needs to learn differential equations and then progress to more advanced studies. 【目錄】

Fundamentals of Differential Equations and Boundary Value Problems (6版)

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【簡介】 Fundamentals of Differential Equations presents the basic theory of differential equations and offers a variety of modern applications in science and engineering. Available in two versions, these flexible texts offer the instructor many choices in syllabus design, course emphasis (theory, methodology, applications, and numerical methods), and in using commercially available computer software. Fundamentals of Differential Equations, Eighth Edition is suitable for a one-semester sophomore- or junior-level course. Fundamentals of Differential Equations with Boundary Value Problems,¿Sixth Edition, contains enough material for a two-semester course that covers and builds on boundary value problems. The Boundary Value Problems version consists of the main text plus three additional chapters (Eigenvalue Problems and Sturm-Liouville Equations; Stability of Autonomous Systems; and Existence and Uniqueness Theory). 【目錄】 1. Introduction 2. First-Order Differential Equations 3. Mathematical Models and Numerical Methods Involving First Order Equations 4. Linear Second-Order Equations 5. Introduction to Systems and Phase Plane Analysis 6. Theory of Higher-Order Linear Differential Equations 7. Laplace Transforms 8. Series Solutions of Differential Equations 9. Matrix Methods for Linear Systems 10. Partial Differential Equations 11. Eigenvalue Problems and Sturm-Liouville Equations 12. Stability of Autonomous Systems 13. Existence and Uniqueness Theory