Advanced Mathematical Methods for Scientists and Engineers I : Asymptotic Methods and Perturbation Theory.
Bender, Carl M.
Advanced Mathematical Methods for Scientists and Engineers I : Asymptotic Methods and Perturbation Theory. - 1st ed. - 1 online resource (605 pages)
Advanced Mathematical Methods for Scientists and Engineers I -- Copyright -- CONTENTS†-- PREFACE -- PART ONE FUNDAMENTALS -- CHAPTER ONE ORDINARY DIFFERENTIAL EQUATIONS -- CHAPTER TWO DIFFERENCE EQUATIONS -- PART TWO LOCAL ANALYSIS -- CHAPTER THREE APPROXIMATE SOLUTION OF LINEAR DIFFERENTIAL EQUATIONS -- CHAPTER FOUR APPROXIMATE SOLUTION OF NONLINEAR DIFFERENTIAL EQUATIONS -- CHAPTER FIVE APPROXIMATE SOLUTION OF DIFFERENCE EQUATIONS -- CHAPTER SIX ASYMPTOTIC EXPANSION OF INTEGRALS -- PART THREE PERTURBATION METHODS -- CHAPTER EIGHT SUMMATION OF SERIES -- PART FOUR GLOBAL ANALYSIS -- CHAPTER NINE BOUNDARY-LAYER THEORY -- CHAPTER TEN WKB THEORY -- CHAPTER ELEVEN MULTIPLE-SCALE ANALYSIS -- APPENDIX USEFUL FORMULAS -- REFERENCES -- INDEX.
9781475730692
Differential equations--Numerical solutions.
Electronic books.
QA299.6-433
515.35
Advanced Mathematical Methods for Scientists and Engineers I : Asymptotic Methods and Perturbation Theory. - 1st ed. - 1 online resource (605 pages)
Advanced Mathematical Methods for Scientists and Engineers I -- Copyright -- CONTENTS†-- PREFACE -- PART ONE FUNDAMENTALS -- CHAPTER ONE ORDINARY DIFFERENTIAL EQUATIONS -- CHAPTER TWO DIFFERENCE EQUATIONS -- PART TWO LOCAL ANALYSIS -- CHAPTER THREE APPROXIMATE SOLUTION OF LINEAR DIFFERENTIAL EQUATIONS -- CHAPTER FOUR APPROXIMATE SOLUTION OF NONLINEAR DIFFERENTIAL EQUATIONS -- CHAPTER FIVE APPROXIMATE SOLUTION OF DIFFERENCE EQUATIONS -- CHAPTER SIX ASYMPTOTIC EXPANSION OF INTEGRALS -- PART THREE PERTURBATION METHODS -- CHAPTER EIGHT SUMMATION OF SERIES -- PART FOUR GLOBAL ANALYSIS -- CHAPTER NINE BOUNDARY-LAYER THEORY -- CHAPTER TEN WKB THEORY -- CHAPTER ELEVEN MULTIPLE-SCALE ANALYSIS -- APPENDIX USEFUL FORMULAS -- REFERENCES -- INDEX.
9781475730692
Differential equations--Numerical solutions.
Electronic books.
QA299.6-433
515.35