An Introduction to Partial Differential Equations (with Maple)

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The book is designed for undergraduate or beginning level graduate students, and students from interdisciplinary areas including engineers, and others who need to use partial differential equations, Fourier series, Fourier and Laplace transforms. The prerequisite is a basic knowledge of calculus, linear algebra, and ordinary differential equations. The textbook aims to be practical, elementary, and reasonably rigorous; the book is concise in that it describes fundamental solution techniques for first order, second order, linear partial differential equations for general solutions, fundamental solutions, solution to Cauchy (initial value) problems, and boundary value problems for different PDEs in one and two dimensions, and different coordinates systems. Analytic solutions to boundary value problems are based on Sturm–Liouville eigenvalue problems and series solutions. The book is accompanied with enough well tested Maple files and some Matlab codes that are available online. The use of Maple makes the complicated series solution simple, interactive, and visible. These features distinguish the book from other textbooks available in the related area. Sample Chapter(s) Preface Chapter 1: Introduction Chapter 2: First order partial differential equations Request Inspection Copy Contents: Preface Introduction First Order Partial Differential Equations Solution to One-Dimensional Wave Equations Orthogonal Functions & Expansions, and Sturm-Liouville Theory Method of Separation Variables for Solving PDE BVPs in Cartesian Coordinates Various Fourier Series, Properties and Convergence Series Solutions of PDEs of Boundary Value Problems Fourier and Laplace Transforms Numerical Solution Techniques Appendices A: ODE Review and Other Useful Information Appendices B: Introduction to Maple Bibliography Index Readership: Undergraduate, beginning level mathematics/physics graduate students, students from interdisciplinary areas and engineering.

A First Course in Differential Equations with Modeling Applications (Asia Edition) (12版)

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【簡介】 Straightforward and easy to read, Zill's A FIRST COURSE IN DIFFERENTIAL EQUATIONS WITH MODELING APPLICATIONS, 12th EDITION, gives you a thorough overview of the topics typically taught in a first course in differential equations. Your study of differential equations and its applications is supported by a bounty of pedagogical aids, including an abundance of examples, explanations, "Remarks" boxes, definitions and more. 【目錄】 Ch 1 Introduction to Differential Equations Ch 2 First-Order Differential Equations Ch 3 Modeling with First-Order Differential Equations Ch 4 Higher-Order Diffential Equations Ch 5 Modeling with Higher-Order Differential Equations Ch 6 Series Solutions of Linear Equations Ch 7 The Laplace Transform Ch 8 Systems of Lineasr Differential Equations Ch 9 Numerical Solutions of Ordinary Differential Equations

Ordinary Differential Equations with Applications (3版)

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ORDINARY DIFFERENTIAL EQUATIONS WITH APPLICATIONS 3E 2023 ISBN： 9789811250743 類別： 數學Mathematics 出版社： WORLD SCIENTIFIC PUBLISHING CO 作者： HSU 年份： 2023 裝訂別： 精裝 頁數： 380頁 Table Of Contents > Introduction > Fundamental Theory > Linear Systems > Stability of Nonlinear Systems > Method of Lyapunov Functions > Two-Dimensional Systems > Second Order Linear Equations > The Index Theory and Brouwer Degree > Perturbation Methods > Introduction to Monotone Dynamical Systems > Introduction to Hamiltonian Systems

PARTIAL DIFFERENTIAL EQUATIONS WITH FOURIER SERIES & BOUNDARY VALUE PROBLEMS (3版)

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PARTIAL DIFFERENTIAL EQUATIONS WITH FOURIER SERIES AND BOUNDARY VALUE PROBLEMS 3E 2016 (P) ISBN： 9780486807379 類別： 數學Mathematics 出版社： DOVER PUBLICATIONS, INC. 作者： ASMAR 年份： 2016 裝訂別： 平裝 頁數： 816頁 This text provides an introduction to partial differential equations and boundary value problems, including Fourier series. The treatment offers students a smooth transition from a course in elementary ordinary differential equations to more advanced topics in a first course in partial differential equations. This widely adopted and successful book also serves as a valuable reference for engineers and other professionals. The approach emphasizes applications, with particular stress on physics and engineering applications. Rich in proofs and examples, the treatment features many exercises in each section. Relevant Mathematica files are available for download from author Nakhle Asmar's website; however, the book is completely usable without computer access. The Students' Solutions Manual can be downloaded for free from the Dover website, and the book includes information on how instructors may request the Instructor Solutions Manual. The text is suitable for undergraduates in mathematics, physics, engineering, and other fields who have completed a course in ordinary differential equations. Reprint of the Pearson/Prentice-Hall, Inc., Upper Saddle River, New Jersey, 2005 edition, with minor revisions. A Student Solutions Manual to accompany this text is available for free download. Click here to download PDF version now. The book includes information on how instructors may request a copy of the Instructor Solutions Manual.