Differential Equations : : A First Course on ODE and a Brief Introduction to PDE / / Shair Ahmad, Antonio Ambrosetti.
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...
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| Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2023] 2024 |
| Year of Publication: | 2023 |
| Language: | English |
| Series: | De Gruyter Textbook
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| Online Access: | |
| Physical Description: | 1 online resource (XVI, 362 p.) |
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Table of Contents:
- Frontmatter
- Memorial Dedicated to Professor Antonio Ambrosetti
- Preface
- Contents
- 1 A brief survey of some topics in calculus
- 2 First order linear differential equations
- 3 Analytical study of first order differential equations
- 4 Solving and analyzing some nonlinear first order equations
- 5 Exact differential equations
- 6 Second order linear differential equations
- 7 Higher order linear equations
- 8 Systems of first order equations
- 9 Phase plane analysis
- 10 Introduction to stability
- 11 Series solutions for linear differential equations
- 12 Laplace transform
- 13 A primer on equations of Sturm-Liouville type
- 14 A primer on linear PDE in 2D. I: first order equations
- 15 A primer on linear PDE in 2D. II: second order equations
- 16 The Euler-Lagrange equations in the Calculus of Variations: an introduction
- Solutions
- Bibliography
- Index