This brief monograph by one of the great mathematicians of the early twentieth century offers a single-volume compilation of propositions employed in proofs of Cauchy's theorem. Developing an arithmetical basis that avoids geometrical intuitions, Watson also provides a brief account of the various applications of the theorem to the evaluation of definite integrals.Author G. N. Watson begins by reviewing various propositions of Poincaré's Analysis Situs, upon which proof of the theorem's most general form depends. Subsequent chapters examine the calculus of residues, calculus optimization, the evaluation of definite integrals, and expansions in series. A historical summary concludes the text, which is supplemented by numerous challenging exercises.

Complex Integration and Cauchy's Theorem (Dover Books on Mathematics)

Science & Math

Watson, G.N.

Mathematics

Dover Publications

<div>Still in print more than a century after its 1902 publication, this historic text by two great mathematicians has inspired generations of students and scholars. The original treatment consists of two parts, The Processes of Analysis and The Transcendental Functions; a final chapter, Ellipsoidal Harmonies and Lamé's Equations, was added in 1920. The first part covers complex numbers, the theories of convergence and Riemann integration, the expansion of functions in infinite series, Fourier and trigonometrical series, and linear differential and integral equations, among other subjects. Part two explores the gamma function, Legendre and Bessel functions, equations of mathematical physics, Mathieu and theta functions, and other topics. A&nbsp;Course of Modern Analysis is suitable for advanced undergraduates and graduate students of mathematics as well as historians of mathematics.</div>

A Course of Modern Analysis: Third Edition (Dover Books on Mathematics)

Politics & Social Sciences

Whittaker, E.T.

Philosophy

A Course of Modern Analysis (Cambridge Mathematical Library)

This classic text has entered and held the field as the standard book on the applications of analysis to the transcendental functions. The authors explain the methods of modern analysis in the first part of the book and then proceed to a detailed discussion of the transcendental function, unhampered by the necessity of continually proving new theorems for special applications. In this way the authors have succeeded in being rigorous without imposing on the reader the mass of detail that so often tends to make a rigorous demonstration tedious. Researchers and students will find this book as valuable as ever.

Cambridge University Press

A Treatise on the Theory of Bessel Functions

The late Professor G.N. Watson wrote his monumental treatise on the theory of Bessel functions in 1922 with two objects in view. The first was the development of applications of the fundamental processes of the theory of complex variables, and the second was compiling a collection of results of value for mathematicians and physicists who encounter Bessel functions in the course of their researches. The completeness of the theoretical account, combined with the wide scope of the collection of practical examples have resulted in a book that will be indispensable for pure mathematicians, applied mathematicians, and physicists.

Literature & Fiction

Classics

A Course of Modern Analysis

The late Professor G.N. Watson wrote his monumental treatise on the theory of Bessel functions in 1922 with two objects in view. The first was the development of applications of the fundamental processes of the theory of complex variables, and the second was compiling a collection of results of value for mathematicians and physicists who encounter Bessel functions in the course of their researches.

The late Professor G.N. Watson wrote his monumental treatise on the theory of Bessel functions in 1922 with two objects in view. The first was the development of applications of the fundamental processes of the theory of complex variables, and the second was compiling a collection of results of value for mathematicians and physicists who encounter Bessel functions in the course of their researches. The completeness of the theoretical account, combined with the wide scope of the collection of practical examples have resulted in a book that will be indispensable for pure mathematicians, applied mathematicians, and physicists.

A Treatise on the Theory of Bessel Functions (Cambridge Mathematical Library)

Originally published in 1914 as number fifteen in the Cambridge Tracts in Mathematics and Mathematical Physics series, this book provides a concise proof of Cauchy's Theorem, along with some applications of the theorem to the evaluation of definite integrals. This book will be of value to anyone with an interest in the history of mathematics.

Complex Integration and Cauchy's Theorem (Cambridge Tracts in Mathematics)

See the best price to sell, buy, or rent books by Watson, G.N.. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by Watson, G.N.

See the best price to sell, buy, or rent books by Watson, G.N.. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Complex Integration and Cauchy's Theorem (Dover Books on Mathematics)

A Course of Modern Analysis: Third Edition (Dover Books on Mathematics)

A Course of Modern Analysis (Cambridge Mathematical Library)

A Treatise on the Theory of Bessel Functions

A Course of Modern Analysis

A Course of Modern Analysis

A Treatise on the Theory of Bessel Functions

A Treatise on the Theory of Bessel Functions (Cambridge Mathematical Library)

A Course of Modern Analysis (Cambridge Mathematical Library)

Complex Integration and Cauchy's Theorem (Cambridge Tracts in Mathematics)