Differential Equations and Their Applications

1. Front Matter

   Pages N2-xiv

   PDF

2. First Order Differential Equations

   • Martin Braun

   Pages 1-177

3. Second Order Linear Differential Equations

   • Martin Braun

   Pages 178-350

4. Systems of Differential Equations

   • Martin Braun

   Pages 351-492

5. Qualitative Theory of Differential Equations

   • Martin Braun

   Pages 493-637

6. Separation of Variables and Fourier Series

   • Martin Braun

   Pages 638-691

7. Back Matter

   Pages 692-719

   PDF

For the past several years the Division of Applied Mathematics at Brown University has been teaching an extremely popular sophomore level differential equations course. The immense success of this course is due primarily to two fac­ tors. First, and foremost, the material is presented in a manner which is rigorous enough for our mathematics and ap­ plied mathematics majors, but yet intuitive and practical enough for our engineering, biology, economics, physics and geology majors. Secondly, numerous case histories are given of how researchers have used differential equations to solve real life problems. This book is the outgrowth of this course. It is a rigorous treatment of differential equations and their appli­ cations, and can be understood by anyone who has had a two semester course in Calculus. It contains all the material usually covered in a one or two semester course in differen­ tial equations. In addition, it possesses the following unique features which distinguish it from other textbooks on differential equations.

• Calc
• Division
• Equations
• Fourier series
• addition
• applied mathematics
• biology
• boundary element method
• calculus
• differential equation
• equation
• geology
• linear differential equation
• mathematics
• university

• Division of Applied Mathematics, Brown University, Providence, USA

  Martin Braun

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