| Solitons in Field Theory and Nonlinear Analysis 2001 Edition Contributor(s): Yang, Yisong (Author) |
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ISBN: 038795242X ISBN-13: 9780387952420 Publisher: Springer OUR PRICE: $52.24 Product Type: Hardcover - Other Formats Published: June 2001 Annotation: This book is on soliton solutions of elliptical partial differential equations arising in quantum field theory, such as vortices, instantons, monopoles, dyons, and cosmic strings. The book presents in-depth description of the problems of current interest, forging a link between mathematical analysis and physics and seeking to stimulate further research in the area. Physically, it touches the major branches of field theory: classical mechanics, special relativity, Maxwell equations, superconductivity, Yang-Mills gauge theory, general relativity, and cosmology. Mathematically, it involves Riemannian geometry, Lie groups and Lie algebras, algebraic topology (characteristic classes and homotropy) and emphasizes modern nonlinear functional analysis. There are many interesting and challenging problems in the area of classical field theory, and while this area has long been of interest to algebraists, geometers, and topologists, it has gradually begun to attract the attention of more analysts. This book written for researchers and graduate students will appeal to high-energy and condensed-matter physicists, mathematicians, and mathematical scientists. |
| Additional Information |
| BISAC Categories: - Science | Physics - Mathematical & Computational - Science | Waves & Wave Mechanics - Mathematics |
| Dewey: 531.113 |
| LCCN: 00067919 |
| Series: Applied Mathematical Sciences (Springer) |
| Physical Information: 1.23" H x 6.38" W x 9.56" (2.04 lbs) 553 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: There are two approaches in the study of differential equations of field theory. The first, finding closed-form solutions, works only for a narrow category of problems. Written by a well-known active researcher, this book focuses on the second, which is to investigate solutions using tools from modern nonlinear analysis. |