Differential Equations
eBook - ePub

Differential Equations

A Concise Course

  1. 224 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Differential Equations

A Concise Course

Book details
Table of contents
Citations

About This Book

This concise treatment of differential equations is intended to serve as a text for a standard one-semester or two-term undergraduate course in differential equations following the calculus. Emphasis is placed on mathematical explanations — ranging from routine calculations to moderately sophisticated theorems — in order to impart more than a rote understanding of techniques.
Beginning with a survey of first order equations, the text goes on to consider linear equations — including discussions of complex-valued solutions, linear differential operators, inverse operators, and variation of parameters method. Subsequent chapters then examine the Laplace transform and Picard's existence theorem and conclude with an exploration of various interpretations of systems of equations.
Numerous clearly stated theorems and proofs, examples, and problems followed by solutions make this a first-rate introduction to differential equations.


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Information

Year
2013
ISBN
9780486143644

Table of contents

  1. Cover
  2. Title Page
  3. Copyright Page
  4. Preface
  5. Contents
  6. Differential Equations
  7. Chapter 1: First Order Equations
  8. Chapter 2: Special Methods For First Order Equations
  9. Chapter 3: Linear Equations
  10. Chapter 4: Special Methods For Linear Equations
  11. Chapter 5: The Laplace Transform
  12. Chapter 6: Picard’s Existence Theorem
  13. Chapter 7: Systems Of Equations
  14. Index