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.
目录
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; Taylor‘s, Lsnrent‘s, and Liouville‘s 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 ……
