Merle Potter: Differential Equations | Buch

Cover: 9783030205058 | Differential Equations | For Scientists and Engineers | Potter (u. a.)

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Sprache: Englisch

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Beschreibung

This book is designed to serve as a textbook for a course on ordinary differential equations, which is usually a required course in most science and engineering disciplines and follows calculus courses. The book begins with linear algebra, including a number of physical applications, and goes on to discuss first-order differential equations, linear systems of differential equations, higher order differential equations, Laplace transforms, nonlinear systems of differential equations, and numerical methods used in solving differential equations. The style of presentation of the book ensures that the student with a minimum of assistance may apply the theorems and proofs presented. Liberal use of examples and homework problems aids the student in the study of the topics presented and applying them to numerous applications in the real scientific world. This textbook focuses on the actual solution of ordinary differential equations preparing the student to solve ordinary differential equations when exposed to such equations in subsequent courses in engineering or pure science programs. The book can be used as a text in a one-semester core course on differential equations, alternatively it can also be used as a partial or supplementary text in intensive courses that cover multiple topics including differential equations.

Über den Autor

Allan Alexander Struthers received his PhD from Carnegie Mellon and is a Professor of Mathematics in the Department of Mathematical Sciences at Michigan Technological University. In his 28 years at MTU, Prof Struthers has both taught and helped develop courses and curricula for graduate and undergraduate students in mathematics and engineering departments, and has received several awards for his research and teaching excellence.

Merle C. Potter received his Ph.D. from The University of Michigan and is Professor Emeritus of Mechanical Engineering at Michigan State University. He has co-authored textbooks based on teaching Thermodynamics, Fluid Mechanics, Applied Mathematics, and related subjects. Prof Potter's research included the stability of various fluid flows, separated flow around bodies, and energy conservation studies. He has authored and coauthored 34 textbooks and exam review books.

Zusammenfassung

Uses natural situations to develop ideas relating to linear algebra

or differential equations

Uses an examples-oriented approach to develop an understanding of increasingly complex theorems

Includes extensive visual and graphical aids to explain important ideas

Inhaltsverzeichnis

Chapter 1: Essentials of linear algebra.- Chapter 2: First-order differential equations.- Chapter 3: Linear systems of differential equations.- Chapter 4: Higher order differential equations.- Chapter 5: Laplace transforms.- Chapter 6: Nonlinear systems of differential equations.- Chapter 7: Numerical methods for differential equations.- Chapter 8: Series solutions for differential equations.- Appendix A: Review of integration techniques.- Appendix B: Complex numbers.- Appendix C: Roots of polynomials.- Appendix D: Linear transformations.- Appendix E: Solutions to selected exercises.

Details

Erscheinungsjahr:	2019
Fachbereich:	Technik allgemein
Genre:	Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Inhalt:	xvii 514 S. 51 s/w Illustr. 2 farbige Illustr. 514 p. 53 illus. 2 illus. in color.
ISBN-13:	9783030205058
ISBN-10:	3030205053
Sprache:	Englisch
Ausstattung / Beilage:	HC runder Rücken kaschiert
Einband:	Gebunden
Autor:	Potter, Merle Struthers, Allan
Auflage:	2nd ed. 2019
Hersteller:	Springer International Publishing Springer International Publishing AG
Maße:	260 x 183 x 33 mm
Von/Mit:	Merle Potter (u. a.)
Erscheinungsdatum:	19.08.2019
Gewicht:	1,306 kg

Artikel-ID: 116339293