Differential Equations: Solving Ordinary and Partial Differential Equations with Mathematica(r) (de Gruyter Textbook) (Paperback)

Differential Equations: Solving Ordinary and Partial Differential Equations with Mathematica(r) (de Gruyter Textbook) By Marian Mureşan Cover Image

Differential Equations: Solving Ordinary and Partial Differential Equations with Mathematica(r) (de Gruyter Textbook) (Paperback)

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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.

Marian Mureşan, G. DIMA street, 15, ap. 25, Cluj-Napoca, 400335, ROMANIAE-mail: mmarianus24@yahoo.com, marian.muresan@ubbcluj.ro Work address: Faculty of Mathematics and Computer Science, Babeş-Bolyai UniversityM. Kogălniceanu st. 1, 400084 Cluj-Napoca, ROMANIAPhone: (+40-)264-405300 ext. 5244, Mobil: (+40-)743-130380 Marian Muresan, Babes-Bolyai University, Cluj-Napoca, Romania.
Product Details ISBN: 9783111411095
ISBN-10: 3111411095
Publisher: de Gruyter
Publication Date: August 19th, 2024
Pages: 607
Language: English
Series: de Gruyter Textbook