Multiple Integrals, Field Theory and Series [Second printing ed.]
The present book is based on lectures given by the authors at the Physical Department of the Lomonosov State University
1,483 262 33MB
English Pages 640 [638] Year 1978
Table of contents :
CHAPTER 1. DOUBLE INTEGRALS
CHAPTER 2. TRIPLE INTEGRALS AND MULTIPLE INTEGRALS OF HIGHER ORDER
CHAPTER 3. ELEMENTS OF DIFFERENTIAL GEOMETRY
CHAPTER 4. LINE INTEGRALS
CHAPTER 5. SURFACE INTEGRALS
CHAPTER 6. FIELD THEORY
CHAPTER 7. TENSORS
CHAPTER 8. FUNCTIONAL SEQUENCES AND SERIES
CHAPTER 9. IMPROPER INTEGRALS
CHAPTER 10. INTEGRALS DEPENDENT ON PARAMETER
CHAPTER 11. FOURIER SERIES AND FOURIER INTEGRAL
SUPPLEMENT 1. ASYMPTOTIC EXPANSIONS
SUPPLEMENT 2. ON UNIVERSAL DIGITAL COMPUTERS
Bibliography
Name Index
Subject Index
CHAPTER 1. DOUBLE INTEGRALS
CHAPTER 2. TRIPLE INTEGRALS AND MULTIPLE INTEGRALS OF HIGHER ORDER
CHAPTER 3. ELEMENTS OF DIFFERENTIAL GEOMETRY
CHAPTER 4. LINE INTEGRALS
CHAPTER 5. SURFACE INTEGRALS
CHAPTER 6. FIELD THEORY
CHAPTER 7. TENSORS
CHAPTER 8. FUNCTIONAL SEQUENCES AND SERIES
CHAPTER 9. IMPROPER INTEGRALS
CHAPTER 10. INTEGRALS DEPENDENT ON PARAMETER
CHAPTER 11. FOURIER SERIES AND FOURIER INTEGRAL
SUPPLEMENT 1. ASYMPTOTIC EXPANSIONS
SUPPLEMENT 2. ON UNIVERSAL DIGITAL COMPUTERS
Bibliography
Name Index
Subject Index
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