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Differential Equations: Theory,Technique and Practice with Boundary Value Problems: Textbooks in Mathematics

Autor Steven G. Krantz
en Limba Engleză Paperback – 14 oct 2024
Differential Equations: Theory, Technique, and Practice with Boundary Value Problems presents classical ideas and cutting-edge techniques for a contemporary, undergraduate-level, one- or two-semester course on ordinary differential equations. Authored by a widely respected researcher and teacher, the text covers standard topics such as partial differential equations (PDEs), boundary value problems, numerical methods, and dynamical systems. Lively historical notes and mathematical nuggets of information enrich the reading experience by offering perspective on the lives of significant contributors to the discipline. "Anatomy of an Application" sections highlight applications from engineering, physics, and applied science. Problems for review and discovery provide students with open-ended material for further exploration and learning.
Streamlined for the interests of engineers, this version:
  • Includes new coverage of Sturm-Liouville theory and problems
  • Discusses PDEs, boundary value problems, and dynamical systems
  • Features an appendix that provides a linear algebra review
  • Augments the substantial and valuable exercise sets
  • Enhances numerous examples to ensure clarity
A solutions manual is available with qualifying course adoption.
Differential Equations: Theory, Technique, and Practice with Boundary Value Problems delivers a stimulating exposition of modeling and computing, preparing students for higher-level mathematical and analytical thinking.
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Specificații

ISBN-13: 9781032919621
ISBN-10: 1032919620
Pagini: 480
Ilustrații: 96
Dimensiuni: 156 x 234 x 28 mm
Greutate: 0.89 kg
Ediția:1
Editura: CRC Press
Colecția Chapman and Hall/CRC
Seria Textbooks in Mathematics

Locul publicării:Boca Raton, United States

Public țintă

Postgraduate

Cuprins

What Is a Differential Equation? Second-Order Linear Equations. Power Series Solutions and Special Functions. Numerical Methods. Fourier Series: Basic Concepts. Sturm–Liouville Problems and Boundary Value Problems. Partial Differential Equations and Boundary Value Problems. Laplace Transforms. Systems of First-Order Equations. The Nonlinear Theory. Appendix: Review of Linear Algebra.

Notă biografică

Steven G. Krantz is a professor of mathematics at Washington University in St. Louis. He has written more than 175 scholarly papers and more than 65 books, including the following books published by CRC Press: Foundations of Analysis (2014), Convex Analysis (2014), Real Analysis and Foundations, Third Edition (2013), and Elements of Advanced Mathematics, Third Edition (2012). An AMS Fellow, Dr. Krantz has been a recipient of the Chauvenet Prize, Beckenbach Book Award, and Kemper Prize. He received a Ph.D from Princeton University.

Recenzii

Praise for Differential Equations: Theory, Technique, and Practice, Second Edition
"Krantz is a very prolific writer. He … creates excellent examples and problem sets."
—Albert Boggess, Professor and Director of the School of Mathematics and Statistical Sciences, Arizona State University, Tempe, USA
 
A first course in differential equations lends itself to the introduction of many interesting applications of mathematics. In this well-written text, Krantz (mathematics, Washington Univ. in St. Louis) emphasizes the differential equations needed to succeed as an engineer. This work is similar to Krantz and Simmons’s Differential Equations: Theory, Technique, and Practice (2007), yet the current work adds the necessary exposure to Sturm-Liouville problems and boundary value problems for the intended engineering audience. This enables the reader access to the all-important introduction to the partial differential equations; namely, the heat and wave equations, as well as the Dirichlet problem. This text has two features that differentiate it from all others on the market at this level: the sections entitled, “Anatomy of an Application” and “Problems for Review and Discovery.” The former analyzes a particular application, while the latter introduces open-ended material for further student exploration. These features will serve students well in their pursuit of garnishing the applied fruits of the subject. This text sets a new standard for the modern undergraduate course in differential equations.
--J. T. Zerger, Catawba College

Descriere

This book delivers a stimulating exposition of modeling and computing, preparing students for higher-level mathematical and analytical thinking. Designed for an undergraduate-level course on ordinary differential equations, the text presents classical ideas and cutting-edge techniques in dynamical systems and other areas, highlighting applicatio