Differential Equations

A First Course on ODE and a Brief Introduction to PDE

Antonio Ambrosetti, Shair Ahmad

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English

De Gruyter
18 December 2023

Complex analysis, complex variables; Numerical analysis

Series: De Gruyter Textbook

The first part of this book is mainly intended as a textbook for students at the Sophomore-Junior level, majoring in mathematics, engineering, or the sciences in general. The book includes the basic topics in Ordinary Differential Equations, normally taught at the undergraduate level, such as linear and nonlinear equations and systems, Bessel functions, Laplace transform, stability, etc. It is written with ample flexibility to make it appropriate either as a course stressing application, or a course stressing rigor and analytical thinking. It also offers sufficient material for a one-semester graduate course, covering topics such as phase plane analysis, oscillation, Sturm-Liouville equations, Euler-Lagrange equations in Calculus of Variations, first and second order linear PDE in 2D. There are substantial lists of exercises at the ends of the chapters. In this edition complete solutions to all even number problems are given in the back of the book. The 2nd edition also includes some new problems and examples. An effort has been made to make the material more suitable and self-contained for undergraduate students with minimal knowledge of Calculus. For example, a detailed review of matrices and determinants has been added to the chapter on systems of equations. The second edition also contains corrections of some misprints and errors in the first edition.

By: Antonio Ambrosetti, Shair Ahmad
Imprint: De Gruyter
Country of Publication: Germany
Edition: 2nd Revised edition
Dimensions: Height: 240mm, Width: 170mm,
Weight: 642g
ISBN: 9783111185248
ISBN 10: 3111185249
Series: De Gruyter Textbook
Pages: 378
Publication Date: 18 December 2023
Audience: College/higher education , Primary
Format: Paperback
Publisher's Status: Active

Antonio Ambrosetti, SISSA, Italy; Shair Ahmad, University of Texas at San Antonio, USA.