KERNEL FUNCTIONS AND ELLIPTIC DIFFERENTIAL EQUATIONS IN MATHEMATICAL PHYSICS (Dover Books on Mathematics)

Book Details:

• Publisher: Dover

• Author: Stefan Bergman

• Language: English

• ISBN: 9780486445533

• Pages: 464

• Cover: Paperback

• Release Date: 01-09-2005

• Dimensions: 8.4 x 5.4 x 1.0 inches

About The Book:

Stefan Bergman’s book provides an in-depth exploration of the theory of boundary value problems in partial differential equations, a critical area in pure and applied mathematics, theoretical physics, and engineering. Designed for upper-level undergraduates and graduate students, this comprehensive work presents a unifying view of the theory and systematically introduces each branch of its applications.

The book is divided into two parts:

1. The First Part surveys boundary value problems encountered in various branches of theoretical physics. It introduces fundamental solutions in a heuristic way, explaining their physical significance. By focusing on these kernels, the text unifies concepts across diverse fields such as heat conduction, hydrodynamics, electrostatics, magnetostatics, and elasticity, providing both theoretical background and practical illustrations.

2. The Second Part delves into a special type of partial differential equation in great detail, enabling students to apply and generalize the methods to similar problems.

This book offers a systematic, self-contained introduction to boundary value problems and serves as both an academic text and a valuable reference for students interested in applying mathematical methods to physical phenomena.