Introduction to Partial Differential Equations with Applications

Nonfiction, Science & Nature, Mathematics, Differential Equations
Cover of the book Introduction to Partial Differential Equations with Applications by E. C. Zachmanoglou, Dale W. Thoe, Dover Publications
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: E. C. Zachmanoglou, Dale W. Thoe ISBN: 9780486132174
Publisher: Dover Publications Publication: April 20, 2012
Imprint: Dover Publications Language: English
Author: E. C. Zachmanoglou, Dale W. Thoe
ISBN: 9780486132174
Publisher: Dover Publications
Publication: April 20, 2012
Imprint: Dover Publications
Language: English

This book has been widely acclaimed for its clear, cogent presentation of the theory of partial differential equations, and the incisive application of its principal topics to commonly encountered problems in the physical sciences and engineering. It was developed and tested at Purdue University over a period of five years in classes for advanced undergraduate and beginning graduate students in mathematics, engineering and the physical sciences.
The book begins with a short review of calculus and ordinary differential equations, then moves on to explore integral curves and surfaces of vector fields, quasi-linear and linear equations of first order, series solutions and the Cauchy Kovalevsky theorem. It then delves into linear partial differential equations, examines the Laplace, wave and heat equations, and concludes with a brief treatment of hyperbolic systems of equations.
Among the most important features of the text are the challenging problems at the end of each section which require a wide variety of responses from students, from providing details of the derivation of an item presented to solving specific problems associated with partial differential equations. Requiring only a modest mathematical background, the text will be indispensable to those who need to use partial differential equations in solving physical problems. It will provide as well the mathematical fundamentals for those who intend to pursue the study of more advanced topics, including modern theory.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

This book has been widely acclaimed for its clear, cogent presentation of the theory of partial differential equations, and the incisive application of its principal topics to commonly encountered problems in the physical sciences and engineering. It was developed and tested at Purdue University over a period of five years in classes for advanced undergraduate and beginning graduate students in mathematics, engineering and the physical sciences.
The book begins with a short review of calculus and ordinary differential equations, then moves on to explore integral curves and surfaces of vector fields, quasi-linear and linear equations of first order, series solutions and the Cauchy Kovalevsky theorem. It then delves into linear partial differential equations, examines the Laplace, wave and heat equations, and concludes with a brief treatment of hyperbolic systems of equations.
Among the most important features of the text are the challenging problems at the end of each section which require a wide variety of responses from students, from providing details of the derivation of an item presented to solving specific problems associated with partial differential equations. Requiring only a modest mathematical background, the text will be indispensable to those who need to use partial differential equations in solving physical problems. It will provide as well the mathematical fundamentals for those who intend to pursue the study of more advanced topics, including modern theory.

More books from Dover Publications

Cover of the book The New Life/La Vita Nuova by E. C. Zachmanoglou, Dale W. Thoe
Cover of the book A Burst of Light by E. C. Zachmanoglou, Dale W. Thoe
Cover of the book The Concept of a Riemann Surface by E. C. Zachmanoglou, Dale W. Thoe
Cover of the book On the Study and Difficulties of Mathematics by E. C. Zachmanoglou, Dale W. Thoe
Cover of the book Stability by Fixed Point Theory for Functional Differential Equations by E. C. Zachmanoglou, Dale W. Thoe
Cover of the book The Merry Wives of Windsor by E. C. Zachmanoglou, Dale W. Thoe
Cover of the book The Gentle Art of Mathematics by E. C. Zachmanoglou, Dale W. Thoe
Cover of the book Budge's Egypt by E. C. Zachmanoglou, Dale W. Thoe
Cover of the book Norby the Mixed-Up Robot by E. C. Zachmanoglou, Dale W. Thoe
Cover of the book Animal Motifs in Asian Art by E. C. Zachmanoglou, Dale W. Thoe
Cover of the book The Best Max Carrados Detective Stories by E. C. Zachmanoglou, Dale W. Thoe
Cover of the book The Best Tales of Hoffmann by E. C. Zachmanoglou, Dale W. Thoe
Cover of the book Big Book of Indian Beadwork Designs by E. C. Zachmanoglou, Dale W. Thoe
Cover of the book Hand Bookbinding by E. C. Zachmanoglou, Dale W. Thoe
Cover of the book The Royal Road to Card Magic by E. C. Zachmanoglou, Dale W. Thoe
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy