This book was written to help mathematics students and those in the physical sciences learn modern Mathematical techniques for setting up and analyzing problems.
Suggestions for further reading complete the text..
For this edition the authors have provided a new section of Solutions and Hints to selected Problems.
Students of mathematics, physics, engineering, and other disciplines will find here an excellent guide to Mathematical problem-solving techniques with a broad range of applications.
The minimal Mathematical prerequisites for a good grasp of the material in this book are a course in advanced calculus, or an advanced course in science or engineering, and a basic exposure to matrix methods.
Each chapter begins with a discussion of problems that can be treated by elementary means, such as separation of variables or Integral transforms, and which lead to explicit, analytical representations of solutions.
Chapter 7 is a detailed introduction to the theory of Integral equations; then Chapters 8 through 12 treat problems in more spatial variables.
Specifically, Chapters 2 through 6 deal with problems in one spatial dimension.
The following chapters take up the theory of Partial Differential equations, including detailed discussions of uniqueness, existence, and continuous dependence questions, as well as techniques for constructing conclusions.
Chapter 1 begins with a discussion of various physical problems and Equations that play a central role in applications.
The mathematics used is rigorous, but not overwhelming, while the authors carefully model physical situations, emphasizing feedback among a beginning model, physical experiments, Mathematical predictions, and the subsequent refinement and reevaluation of the physical model itself.
This book was written to help mathematics students and those in the physical sciences learn modern Mathematical techniques for setting up and analyzing problems
