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目次
商品簡介
ADVANTAGE has been taken of the prearation of the fourth edition of this work to add a few additional referens and to make a number of corrections of minor errors.
Our thanks are bue to a number of our readers for pointing out errors and misprints,and in particular we are grateful to Mr E.T.Copson,Lecturer in mathematics in the University Edinburgh,for the trouble which he has taken in supplying us with a somewhat lenthy list.
Our thanks are bue to a number of our readers for pointing out errors and misprints,and in particular we are grateful to Mr E.T.Copson,Lecturer in mathematics in the University Edinburgh,for the trouble which he has taken in supplying us with a somewhat lenthy list.
目次
PART I. THE PROCESSES OF ANALYSIS.
CHAPTER
I Complex Numbers
II The Theory of Convergence
III Continuous Functions and Uniform Convergence
IV The Theory of Riemann Integration
V The fundamental properties of Analytic Functions; Taylors, Lsnrents, and Liouvilles Theorems
VI TheTheory of Residues; application to the evaluatiou of Definite Integrals
VII The expansion of functions in Infinite Series
VIII Asymptotic Expansions and Summab]e Series
IX Fourier Series and Trigonometrical Series
X Linear Differential Equations
XI Integral Equations
PART II. THE TRANSCENDENTAL FUNCTIONS
XII The Gamma Function..
XIII The Zeta Function of Riemann
XIV The Hypergeometric Function
XV Legendre Functions
……
CHAPTER
I Complex Numbers
II The Theory of Convergence
III Continuous Functions and Uniform Convergence
IV The Theory of Riemann Integration
V The fundamental properties of Analytic Functions; Taylors, Lsnrents, and Liouvilles Theorems
VI TheTheory of Residues; application to the evaluatiou of Definite Integrals
VII The expansion of functions in Infinite Series
VIII Asymptotic Expansions and Summab]e Series
IX Fourier Series and Trigonometrical Series
X Linear Differential Equations
XI Integral Equations
PART II. THE TRANSCENDENTAL FUNCTIONS
XII The Gamma Function..
XIII The Zeta Function of Riemann
XIV The Hypergeometric Function
XV Legendre Functions
……
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