Differential Equations
Theory, Technique and Practice, Second Edition
2nd Edition
Published on 13. November 2014
Book
Hardback
557 pages
978-1-4822-4702-2 (ISBN)
Description
"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
Designed for a one- or two-semester undergraduate course, Differential Equations: Theory, Technique and Practice, Second Edition educates a new generation of mathematical scientists and engineers on differential equations. This edition continues to emphasize examples and mathematical modeling as well as promote analytical thinking to help students in future studies.
New to the Second Edition
Improved exercise sets and examples
Reorganized material on numerical techniques
Enriched presentation of predator-prey problems
Updated material on nonlinear differential equations and dynamical systems
A new appendix that reviews linear algebra
In each chapter, lively historical notes and mathematical nuggets enhance students' reading experience by offering perspectives on the lives of significant contributors to the discipline. "Anatomy of an Application" sections highlight rich applications from engineering, physics, and applied science. Problems for review and discovery also give students some open-ended material for exploration and further learning.
-Albert Boggess, Professor and Director of the School of Mathematics and Statistical Sciences, Arizona State University, Tempe, USA
Designed for a one- or two-semester undergraduate course, Differential Equations: Theory, Technique and Practice, Second Edition educates a new generation of mathematical scientists and engineers on differential equations. This edition continues to emphasize examples and mathematical modeling as well as promote analytical thinking to help students in future studies.
New to the Second Edition
Improved exercise sets and examples
Reorganized material on numerical techniques
Enriched presentation of predator-prey problems
Updated material on nonlinear differential equations and dynamical systems
A new appendix that reviews linear algebra
In each chapter, lively historical notes and mathematical nuggets enhance students' reading experience by offering perspectives on the lives of significant contributors to the discipline. "Anatomy of an Application" sections highlight rich applications from engineering, physics, and applied science. Problems for review and discovery also give students some open-ended material for exploration and further learning.
Reviews / Votes
"Retaining many of the strong aspects of the first edition, which received positive feedback from readers, the new edition focuses on clarity of exposition and examples, many of which feature applications of differential equations. ... Being an homage to the excellent writing skills of George Simmons and his well-known text on differential equations written back in 1972, this updated edition maintains the highest standards of mathematics exposition. Warmly recommended as a comprehensive and modern textbook on theory, methods, and applications of differential equations!"-Zentralblatt MATH 1316
"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
More details
Series
Edition
2nd edition
Language
English
Place of publication
Oakville
Canada
Target group
College/higher education
Illustrations
156 s/w Abbildungen, 9 s/w Tabellen
9 Tables, black and white; 156 Illustrations, black and white
Dimensions
Height: 234 mm
Width: 156 mm
Weight
932 gr
ISBN-13
978-1-4822-4702-2 (9781482247022)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
New editions
Book
05/2022
3rd Edition
Chapman & Hall/CRC
€134.10
Shipment within 10-20 days
Person
Steven G. Krantz is a professor of mathematics at Washington University in St. Louis. He has written more than 65 books and more than 175 scholarly papers and is the founding editor of the Journal of Geometric Analysis. 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.
Content
What is a Differential Equation? Second-Order Linear Equations. Qualitative Properties and Theoretical Aspects. Power Series Solutions and Special Functions. Fourier Series: Basic Concepts. Partial Differential Equations and Boundary Value Problems. Laplace Transforms. The Calculus of Variations. Numerical Methods. Systems of First-Order Equations. The Nonlinear Theory. Dynamical Systems. Appendix on Linear Algebra.