E. T. Whittaker

This classic work has been a unique resource for thousands of mathematicians, scientists and engineers since its first appearance in 1902. Never out of print, its continuing value lies in its thorough and exhaustive treatment of special functions of mathematical physics and the analysis of differential equations from which they emerge. The book also is of historical value as it was the first book in English to introduce the then modern methods of complex analysis. This fifth edition preserves the style and content of the original, but it has been supplemented with more recent results and references where appropriate. All the formulas have been checked and many corrections made. A complete bibliographical search has been conducted to present the references in modern form for ease of use. A new foreword by Professor S.J. Patterson sketches the circumstances of the book's genesis and explains the reasons for its longevity. A welcome addition to any mathematician's bookshelf, this will allow a whole new generation to experience the beauty contained in this text.

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 Lane's Equations, was added in 1920. An essential work for students of analysis and historians of mathematics and literature.

This book has been considered by academicians and scholars of great significance and value to literature. This forms a part of the knowledge base for future generations. So that the book is never forgotten we have represented this book in a print format as the same form as it was originally first published. Hence any marks or annotations seen are left intentionally to preserve its true nature.

Originally published in 1907 as number seven in the Cambridge Tracts in Mathematics and Mathematical Physics series, this book provides a concise account regarding the theory of optical instruments. The text was written with the aim of leading 'directly from the first elements of Optics to those parts of the subject which are of greatest importance to workers with optical instruments'. This book will be of value to anyone with an interest in optics, physics and mathematics.

""A History Of The Theories Of Aether And Electricity: From The Age Of Descartes To The Close Of The Nineteenth Century"" is a comprehensive book written by E. T. Whittaker and first published in 1910. The book explores the history of the theories of aether and electricity, which were central to the development of modern physics. The book begins with a discussion of the early ideas about aether, a hypothetical substance that was believed to fill all space and transmit light and other forms of energy. The author traces the development of these ideas from the time of Descartes in the 17th century through the 19th century, when the concept of aether was finally abandoned in favor of new theories of electromagnetism.The book also covers the history of electricity, from the early experiments of Benjamin Franklin and Alessandro Volta to the work of Michael Faraday and James Clerk Maxwell. The author explains how these scientists developed the laws of electricity and magnetism, which eventually led to the development of modern electromagnetic theory.Throughout the book, the author provides detailed explanations of the scientific ideas and experiments that shaped our understanding of aether and electricity. He also highlights the contributions of lesser-known scientists and discusses the controversies and debates that surrounded these ideas throughout history.Overall, ""A History Of The Theories Of Aether And Electricity"" is an important work of scientific history that provides a fascinating look at the development of some of the most important theories in modern physics.This Is A New Release Of The Original 1910 Edition.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.

""A Treatise On The Analytical Dynamics Of Particles And Rigid Bodies: With An Introduction To The Problem Of Three Bodies"" is a comprehensive guide to the principles and applications of analytical dynamics. Written by E.T. Whittaker and first published in 1917, this book covers the fundamental concepts of mechanics, including kinematics, force, momentum, and energy. The text explores the dynamics of both particles and rigid bodies, providing detailed explanations of the equations of motion and their solutions. The book also includes an introduction to the problem of three bodies, which is a classic problem in celestial mechanics. This problem involves the motion of three celestial bodies under the influence of their mutual gravitational attraction and is notoriously difficult to solve. Whittaker's treatment of this problem is clear and concise, making it accessible to readers with a basic understanding of calculus and mechanics. Overall, ""A Treatise On The Analytical Dynamics Of Particles And Rigid Bodies"" is an essential resource for anyone interested in the principles of mechanics and their applications in physics and engineering. It is a classic work that has stood the test of time and remains relevant to this day.This Is A New Release Of The Original 1917 Edition.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.