Steven G. Krantz

Differential Equations (eBook, PDF)

Theory,Technique and Practice with Boundary Value Problems

• Format: PDF

Produktbeschreibung

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 applications from engineering, physics, and applied science. This version adds coverage of Sturm-Liouville theory and problems, streamlines content for the interests of engineers, enhances examples, and augments the substantial and valuable exercise sets. A solutions manual is available with qualifying course adoption.

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Produktdetails

• Verlag: Taylor & Francis
• Seitenzahl: 480
• Erscheinungstermin: 7. Oktober 2015
• Englisch
• ISBN-13: 9781498735025
• Artikelnr.: 57895884

Autorenporträt

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.

Inhaltsangabe

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.