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 The "Country Life" Library of Sport - Fishing - Second Volume by Oliver Dimon Kellogg
Cover of the book Violin Sonata No.1 by Gabriel Faur for Piano and Violin (1876) Op.13 by Oliver Dimon Kellogg
Cover of the book Little Foxes - Or; the Insignificant Little Habits Which Mar Domestic Happiness by Oliver Dimon Kellogg
Cover of the book Wolfgang Amadeus Mozart - Oiseaux, si tous les Ans - K.307/K.284d by Oliver Dimon Kellogg
Cover of the book Marrow Bones - English Folk Songs From The Hammond And Gardiner Mss. by Oliver Dimon Kellogg
Cover of the book The Court of the Profane by Oliver Dimon Kellogg
Cover of the book 101 Old Time Receipts for Beer, Wine, Whiskey, other Spirits and Accoutrements by Oliver Dimon Kellogg
Cover of the book The Raid from Beausejour and How the Carter Boys Lifted the Mortgage by Oliver Dimon Kellogg
Cover of the book Unto Thee I Grant by Oliver Dimon Kellogg
Cover of the book The North West Passage V1: Being the Record of a Voyage of Exploration of the Ship Gjoa, 1903-1907 (1908) by Oliver Dimon Kellogg
Cover of the book The Letters of Her Mother to Elizabeth by Oliver Dimon Kellogg
Cover of the book Fencing for the Farmstead - Containing Information on the Carpentry Involved in Building Fences by Oliver Dimon Kellogg
Cover of the book The Diary of Anne Rodway (Fantasy and Horror Classics) by Oliver Dimon Kellogg
Cover of the book The Poetry of Walt Whitman by Oliver Dimon Kellogg
Cover of the book The Deadly Tube 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