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Highlights
- The book concerns with solving about 650 ordinary and partial differential equations.
- About the Author: Marian Mureşan, G. DIMA street, 15, ap.
- 482 Pages
- Mathematics, Differential Equations
- Series Name: de Gruyter Textbook
Description
About the Book
The book includes approximately 650 fully solved ordinary and partial differential equations, some of which have multiple solutions. Each solution is accompanied by at least one graph, many of which are in color. The first chapter explains the matheBook Synopsis
The book concerns with solving about 650 ordinary and partial differential equations. Each equation has at least one solution and each solution has at least one coloured graph. The coloured graphs reveal different features of the solutions. Some graphs are dynamical as for Clairaut differential equations. Thus, one can study the general and the singular solutions. All the equations are solved by Mathematica. The first chapter contains mathematical notions and results that are used later through the book. Thus, the book is self-contained that is an advantage for the reader. The ordinary differential equations are treated in Chapters 2 to 4, while the partial differential equations are discussed in Chapters 5 to 10. The book is useful for undergraduate and graduate students, for researchers in engineering, physics, chemistry, and others. Chapter 9 treats parabolic partial differential equations while Chapter 10 treats third and higher order nonlinear partial differential equations, both with modern methods. Chapter 10 discusses the Korteweg-de Vries, Dodd-Bullough-Mikhailov, Tzitzeica-Dodd-Bullough, Benjamin, Kadomtsev-Petviashvili, Sawada-Kotera, and Kaup-Kupershmidt equations.
About the Author
Marian Mureşan, G. DIMA street, 15, ap. 25, Cluj-Napoca, 400335, ROMANIA
E-mail: mmarianus24@yahoo.com, marian.muresan@ubbcluj.ro
Work address:
Faculty of Mathematics and Computer Science, Babeş-Bolyai University
M. Kogălniceanu st. 1, 400084 Cluj-Napoca, ROMANIA
Phone: (+40-)264-405300 ext. 5244, Mobil: (+40-)743-130380
Marian Muresan, Babes-Bolyai University, Cluj-Napoca, Romania.
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