A Course Of Modern Analysis: An Introduction To The General Theory Of Infinite Series And Of Analytic Functions, With An Account Of The Principal Transcendental Functions (1902)

""A Course of Modern Analysis"" is a comprehensive textbook written by Edmund Taylor Whittaker and first published in 1902. The book serves as an introduction to the general theory of infinite series and analytic functions, with an account of the principal transcendental functions. The book is divided into two parts. The first part covers the theory of infinite series, including the convergence and divergence of series, power series, and Fourier series. The second part covers the theory of analytic functions, including complex numbers, Cauchy-Riemann equations, conformal mapping, and the principal transcendental functions such as exponential, logarithmic, trigonometric, and hyperbolic functions. Throughout the book, Whittaker provides clear and detailed explanations of the concepts and theorems presented, accompanied by numerous examples and exercises to reinforce understanding. The book is written in a rigorous yet accessible style, making it suitable for both undergraduate and graduate students in mathematics and physics. Overall, ""A Course of Modern Analysis"" is a classic textbook that has stood the test of time and remains a valuable resource for anyone interested in the theory of infinite series and analytic functions.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.