Foundations of Potential Theory

Nonfiction, Religion & Spirituality, Philosophy
Cover of the book Foundations of Potential Theory by Oliver Dimon Kellogg, Read Books Ltd.
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Oliver Dimon Kellogg ISBN: 9781446547830
Publisher: Read Books Ltd. Publication: March 23, 2011
Imprint: Barman Press Language: English
Author: Oliver Dimon Kellogg
ISBN: 9781446547830
Publisher: Read Books Ltd.
Publication: March 23, 2011
Imprint: Barman Press
Language: English

The present volume gives a systematic treatment of potential functions. It takes its origin in two courses, one elementary and one advanced, which the author has given at intervals during the last ten years, and has a two-fold purpose first, to serve as an introduction for students whose attainments in the Calculus include some knowledge of partial derivatives and multiple and line integrals and secondly, to provide the reader with the fundamentals of the subject, so that he may proceed immediately to the applications, or to - the periodical literature of the day. It is inherent in the nature of the subject that physical intuition and illustration be appealed to freely, and this has been done. However, in order that the ok may present sound ideals to the student, and also serve the mathematician, both for purposes of reference and as a basis for further developments, the proofs have been given by rigorous methods. This has led, at a number of points, to results either not found elsewhere, or not readily accessible. Thus, Chapter IV contains a proof for the general regular region of the divergence theorem Gauss, or Greens theorem on the reduction of volume to surface integrals. The treatment of the fundamental existence theorems in Chapter XI by means of integral equations meets squarely the difficulties incident to the discontinuity of the kernel, and the same chapter gives an account of the most recent developments with respect to the Pirichlet problem. Exercises are introduced in the conviction that no mastery of a mathematical subject is possible without working with it. They are designed primarily to illustrate or extend the theory, although the desirability of requiring an occasional concrete numerical result has not been lost sight of.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

The present volume gives a systematic treatment of potential functions. It takes its origin in two courses, one elementary and one advanced, which the author has given at intervals during the last ten years, and has a two-fold purpose first, to serve as an introduction for students whose attainments in the Calculus include some knowledge of partial derivatives and multiple and line integrals and secondly, to provide the reader with the fundamentals of the subject, so that he may proceed immediately to the applications, or to - the periodical literature of the day. It is inherent in the nature of the subject that physical intuition and illustration be appealed to freely, and this has been done. However, in order that the ok may present sound ideals to the student, and also serve the mathematician, both for purposes of reference and as a basis for further developments, the proofs have been given by rigorous methods. This has led, at a number of points, to results either not found elsewhere, or not readily accessible. Thus, Chapter IV contains a proof for the general regular region of the divergence theorem Gauss, or Greens theorem on the reduction of volume to surface integrals. The treatment of the fundamental existence theorems in Chapter XI by means of integral equations meets squarely the difficulties incident to the discontinuity of the kernel, and the same chapter gives an account of the most recent developments with respect to the Pirichlet problem. Exercises are introduced in the conviction that no mastery of a mathematical subject is possible without working with it. They are designed primarily to illustrate or extend the theory, although the desirability of requiring an occasional concrete numerical result has not been lost sight of.

More books from Read Books Ltd.

Cover of the book Burning Lights by Oliver Dimon Kellogg
Cover of the book Protection or Free Trade by Oliver Dimon Kellogg
Cover of the book A Book of Patterns for Hand-Weaving; Designs from the John Landes Drawings in the Pennsylvnia Museum by Oliver Dimon Kellogg
Cover of the book Harmonies Poétiques et Religieuses I S.154 - For Solo Piano (1833) by Oliver Dimon Kellogg
Cover of the book Gulliver's Travels Into Several Remote Nations of the World - Illustrated by Arthur Rackham by Oliver Dimon Kellogg
Cover of the book Edgar Allan Poe's Tales of Horror - A Collection of Short Stories (Fantasy and Horror Classics) by Oliver Dimon Kellogg
Cover of the book Theory and Technique of Ballroom Dancing by Oliver Dimon Kellogg
Cover of the book Advanced Auction and Contract Bridge Tactics for the Keen Player by Oliver Dimon Kellogg
Cover of the book Camp And Trail by Oliver Dimon Kellogg
Cover of the book Wicked Captain Walshawe, of Wauling by Oliver Dimon Kellogg
Cover of the book Romance in F Major - A Score for Cello and Piano Op.50 (1798) by Oliver Dimon Kellogg
Cover of the book A Fertility Program for Growing Vegetables - With Information on Soil, Manures and Use of Chemicals by Oliver Dimon Kellogg
Cover of the book Mental Magic - First Lessons in Mind Reading and Stage Hypnotism - With Tricks to Wow Your Family by Oliver Dimon Kellogg
Cover of the book The Story of Alchemy and the Beginnings of Chemistry by Oliver Dimon Kellogg
Cover of the book Is the Devil a Gentleman? (Fantasy and Horror Classics) by Oliver Dimon Kellogg
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy