Elementary Differential Equations and Boundary Value Problems
Author: William E. Boyce (Author), Richard C. DiPrima (Author), Douglas B. Meade (Author)
Publisher finelybook 出版社: Wiley
Publication Date 出版日期: 2022-06-08
Edition 版次: 12th
Language 语言: English
Print length 页数: 740 pages
ISBN-10: 1119820510
ISBN-13: 9781119820512
Publication Date 出版日期: 2021-10-19
Edition 版次: 12th
Language 语言: English
Print length 页数: 640 pages
ISBN-10: 1119777690
ISBN-13: 9781119777694
Book Description
Boyce’s Elementary Differential Equations and Boundary Value Problems is written from the viewpoint of the applied mathematician, with diverse interest in differential equations, ranging from quite theoretical to intensely practical–and usually a combination of both. The intended audience for the text is undergraduate STEM students taking an introductory course in differential equations. The main prerequisite for engaging with the program is a working knowledge of calculus, gained from a normal two or three semester course sequence or its equivalent, while a basic familiarity with matrices is helpful.
This new edition of the book aims to preserve, and to enhance the qualities that have made previous editions so successful. It offers a sound and accurate exposition of the elementary theory of differential equations with considerable material on methods of solution, analysis, and approximation that have proved useful in a wide variety of applications.
New to this Edition
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Concept checks:A new feature added to every end of chapter question sets. Designed to reinforce key chapter learning objectives and prepare students for the end-of-chapter problems.
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Worksheets:New feature developed as a lecture aid to teach class in a synchronous in-person, online or hybrid environment.Designed to help students follow the presentation and discussion of topics in each section and formulate a good set of notes with examples for that section.
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Updated design:Provides an easy to navigate, student friendly reference.
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Updated text:Enriched with addition of new topics andenhanced coverage of the existingconcepts in some of the chapters. New appendix on Special Functions included.
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New and updated problems: More than 50% of intext and homework problems are updated or revised.
About the Author
Dr. William E. Boyce Edward P. Hamilton Professor Emeritus, Department of Mathematical Sciences, Rensselaer Polytechnic Institute
Richard C. DiPrima – formerly Eliza Ricketts Foundation Professor, Department of Mathematical Sciences, Rensselaer Polytechnic Institute
Douglas B. Meade – Department of Mathematics, University of South Carolina-Columbia
TABLE OF CONTENTS
Chapter 2 First Order Differential Equations
Chapter 3 Second-Order Linear Differential Equations
Chapter 4 Higher-Order Linear Differential Equations
Chapter 5 Series Solutions of First-Order and Second-Order Linear Equations
Chapter 6 Systems of First-Order Linear Equations
Chapter 7 The Laplace Transform
Chapter 8 Numerical Methods of Solving First Order Equations
Chapter 9 Nonlinear Differential Equations and Stability
Chapter 10 Partial Differential Equations and Fourier Series
Chapter 11 Boundary Value Problems and Sturm-Liouville Theory
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