One of the finest expositors in the field of modern mathematics Dr Konrad Knopp here concentrates on a topic that is of particular interest to 20th century mathematicians and students He develops the theory of infinite seuences and series from its beginnings to a point where the reader will be in a position to investigateadvanced stages on his own The foundations of the theory are therefore presented with special care while the developmental aspects are limited by the scope and purpose of the bookAll definitions are clearly stated; all theorems are proved with enough detail to make them readily comprehensible The author begins with the construction of the system of real and complex numbers covering such fundamental concepts as sets of numbers and functions of real and complex variables In the treatment of seuences and series that follows he covers arbitrary and null seuences; seuences and sets of numbers; convergence and divergence; Cauchy's limit theorem; main tests for seuences; and infinite series Chapter three deals with main tests for infinite series and operating with convergent series Chapters four and five explain power series and the development of the theory of convergence while chapter six treats expansion of the elementary functions The book concludes with a discussion of numerical and closed evaluation of series.

infinite epub seuences free series book dover book books mobile mathematics pdf Infinite Seuences mobile and Series kindle and Series Dover Books pdf Seuences and Series epub Seuences and Series Dover Books free Infinite Seuences and Series Dover Books on Mathematics ePUBOne of the finest expositors in the field of modern mathematics Dr Konrad Knopp here concentrates on a topic that is of particular interest to 20th century mathematicians and students He develops the theory of infinite seuences and series from its beginnings to a point where the reader will be in a position to investigateadvanced stages on his own The foundations of the theory are therefore presented with special care while the developmental aspects are limited by the scope and purpose of the bookAll definitions are clearly stated; all theorems are proved with enough detail to make them readily comprehensible The author begins with the construction of the system of real and complex numbers covering such fundamental concepts as sets of numbers and functions of real and complex variables In the treatment of seuences and series that follows he covers arbitrary and null seuences; seuences and sets of numbers; convergence and divergence; Cauchy's limit theorem; main tests for seuences; and infinite series Chapter three deals with main tests for infinite series and operating with convergent series Chapters four and five explain power series and the development of the theory of convergence while chapter six treats expansion of the elementary functions The book concludes with a discussion of numerical and closed evaluation of series.