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Principles of Differential and Integral Equations
 
Principles of Differential and Integral Equations
AMS Chelsea Publishing: An Imprint of the American Mathematical Society
eBook ISBN:  978-1-4704-5348-0
Product Code:  CHEL/295.E
List Price: $65.00
MAA Member Price: $58.50
AMS Member Price: $58.50
Principles of Differential and Integral Equations
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Principles of Differential and Integral Equations
AMS Chelsea Publishing: An Imprint of the American Mathematical Society
eBook ISBN:  978-1-4704-5348-0
Product Code:  CHEL/295.E
List Price: $65.00
MAA Member Price: $58.50
AMS Member Price: $58.50
  • Book Details
     
     
    AMS Chelsea Publishing
    Volume: 2951977; 205 pp
    MSC: Primary 45; 34; 35

    From the Preface: “The aim of this book is to offer a discussion of the fundamental concepts in the theory of differential and integral equations, with a view toward preparing the reader for graduate-level courses on advanced topics. This book can also serve a graduate-level course for non-mathematics majors. Students of various disciplines have found an increasing need to study such topics as control theory and systems theory, which are mainly based on differential equations, integral operators, and related concepts. The material included in this text will provide sufficient basis for understanding these areas of investigation. The prerequisites are a good course in advanced calculus ... some preparation in linear algebra, and a reasonable acquaintance with elementary complex analysis ... [T]he book can be used as a first course in differential and integral equations by any reader possessing knowledge of the above-mentioned fields.”

  • Table of Contents
     
     
    • Front Cover
    • Title Page
    • Preface
    • Contents
    • Introduction
    • 1. Some Elementary Methods
    • 2. Existence Theory for Differential Equations
    • 3. Some Global Problems for Ordinary Differential Equations
    • 4. Some Special Classes of Differential Systems and Equations
    • 5. Stability Theory of Ordinary Differential Systems
    • 6. Volterra Integral Equations
    • 7. Fredholm Theory of Linear Integral Equations
    • 8. Theory of Self-Adjoint Integral Equations and Some Applications
    • 9. Miscellanea (Nice Things)
    • References
    • Index
    • Back Cover
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 2951977; 205 pp
MSC: Primary 45; 34; 35

From the Preface: “The aim of this book is to offer a discussion of the fundamental concepts in the theory of differential and integral equations, with a view toward preparing the reader for graduate-level courses on advanced topics. This book can also serve a graduate-level course for non-mathematics majors. Students of various disciplines have found an increasing need to study such topics as control theory and systems theory, which are mainly based on differential equations, integral operators, and related concepts. The material included in this text will provide sufficient basis for understanding these areas of investigation. The prerequisites are a good course in advanced calculus ... some preparation in linear algebra, and a reasonable acquaintance with elementary complex analysis ... [T]he book can be used as a first course in differential and integral equations by any reader possessing knowledge of the above-mentioned fields.”

  • Front Cover
  • Title Page
  • Preface
  • Contents
  • Introduction
  • 1. Some Elementary Methods
  • 2. Existence Theory for Differential Equations
  • 3. Some Global Problems for Ordinary Differential Equations
  • 4. Some Special Classes of Differential Systems and Equations
  • 5. Stability Theory of Ordinary Differential Systems
  • 6. Volterra Integral Equations
  • 7. Fredholm Theory of Linear Integral Equations
  • 8. Theory of Self-Adjoint Integral Equations and Some Applications
  • 9. Miscellanea (Nice Things)
  • References
  • Index
  • Back Cover
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.