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Advanced Calculus for Applications

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Author(s): FRANCIS B. HILDEBRAND
Publisher: PRENTICE-HALL
Year: 1962

Language: English
Pages: 657

Advanced Calculus for Applications......Page 2
Preface......Page 4
Contents......Page 7
CHAPTER 1 Ordinary Differential Equations......Page 12
CHAPTER 2 The Laplace Transform......Page 62
CHAPTER 3 Numerical Methods for Solving Ordinary Differential Equations......Page 104
CHAPTER 4 Series Solutions of Differential Equations: Special Functions......Page 130
CHAPTER 5 Boundary-Value Problems and Characteristic-Function Representations......Page 198
CHAPTER 6 Vector Analysis......Page 273
CHAPTER 7 Topics in Higher-Dimensional Calculus......Page 346
CHAPTER 8 Partial Differential Equations......Page 387
CHAPTER 9 Solutions of Partial Differential equations of Mathematical Physics......Page 437
CHAPTER 10 Functions of a Complex Variable......Page 520
Appendix A......Page 628
Appendix B......Page 630
Answers to Problems......Page 632
Index......Page 648