Airy Functions And Applications To Physics

Posted by admin
November 11, 2007

Please Login or Register to see the link.
by Please Login or Register to see the link. (Author), Please Login or Register to see the link. (Author)

Product Details

Professor Alexander Apelblat Ben Gurion University of the Negev, Israel
… an important addition to the literature on special functions. It is competently written… I strongly recommend this book…

Professor Michael Berry University of bristol, UK
I am especially enthusiastic about the large collection of integrals… in particular the Airy transform which is remarkable.

Barrie S H Royce, Professor of Mechanical and Aerospace Engineering, Princeton University
… provides a relatively compact discussion of these functions and their applications to both classical and quantum problems.

Please Login or Register to see the link.

André Voros, CEA-Service de Physique Théorique de Saclay
… fills a long-standing gap in a very special but essential segment of applied mathematics, or mathematics for applications.

MAA Online Book Review
I did enjoy reading it for the many beautiful formulas it contains.

Mathematical Reviews
…serve as a comprehensive collection of formulas as well as a textbook in a course on mathematical techniuqes in physics.

Book Description
The use of special functions, and in particular Airy functions, is rather common in physics. The reason may be found in the need, and even in the necessity, to express a physical phenomenon in terms of an effective and comprehensive analytical form for the whole scientific community. However, for the past twenty years, many physical problems have been resolved by computers. This trend is now becoming the norm as the importance of computers continues to grow. As a last resort, the special functions employed in physics will have to be calculated numerically, even if the analytic formulation of physics is of primary importance.Airy functions have periodically been the subject of many review articles, but no noteworthy compilation on this subject has been published since the 1950s. In this work, we provide an exhaustive compilation of the current knowledge on the analytical properties of Airy functions, developing with care the calculus implying the Airy functions.

The book is divided into 2 parts: the first is devoted to the mathematical properties of Airy functions, whilst the second presents some applications of Airy functions to various fields of physics. The examples provided succinctly illustrate the use of Airy functions in classical and quantum physics.

Download (6.11Mb, Type: PDF)
Please Login or Register to see the link.
Password: physicsbooks.info

Related posts

Gas Dynamics

Did you enjoy this post? Why not leave a comment below and continue the conversation, or subscribe to my feed and get articles like this delivered automatically to your feed reader.

Comments

No comments yet.

Leave a comment

(required)

(required)