Advanced calculus : a course arranged with special reference to the needs of students of applied mathematics

by Frederick S. Woods

[目次]

• CONTENTS
• CHAPTER I. PRELIMINARY
• CHAPTER II. POWER SERIES
• CHAPTER III. PARTIAL DIFFERENTIATION
• CHAPTER IV. IMPLICIT FUNCTIONS
• CHAPTER V. APPLICATIONS TO GEOMETRY
• CHAPTER VI. THE DEFINITE INTEGRAL
• CHAPTER VII. THE GAMMA AND BETA FUNCTIONS
• CHAPTER VIII. LINE,SURFACE,AND SPACE INTEGRALS
• CHAPTER IX. VECTOR NOTATION
• CHAPTER X. DIFFERENTIAL EQUATIONS OF THE FIRST ORDER
• CHAPTER XI. DIFFERENTIAL EQUATIONS OF HIGHER ORDER
• CHAPTER XII. BESSEL FUNCTIONS
• CHAPTER XIII. PARTIAL DIFFERENTIAL EQUATIONS
• CHAPTER XIV. CALCULUS OF VARIATIONS
• CHAPTER XV. FUNCTIONS OF A COMPLEX VARIABLE
• CHAPTER XVI. ELLIPTIC INTEGRALS
• ANSWERS / 387
• INDEX / 395

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