Determinants and Their Applications in Mathematical Physics

Upload bởi: yuna_tb

Mã tài liệu: 200752

Số trang: 393

Định dạng: pdf

Dung lượng file:

Chuyên mục: Khoa học công nghệ

Đến trang tải tài liệu này

Info

Product Description
This book is unique. It contains a detailed account of all important relations in the analytic theory of determinants from the classical work of Laplace, Cauchy and Jacobi in the 18th and 19th centuries to the most recent 20th century developments. Several contributions have never been published before. The first five chapters are purely mathematical in nature and make extensive use of the column vector notation and scaled cofactors. They contain a number of important relations involving derivatives which prove beyond a doubt that the theory of determinants has emerged from the confines of classical algebra into the brighter world of analysis. The whole of Chapter 4 is devoted to particular determinants including alternants, Wronskians and Hankelians. The contents of Chapter 5 include the Cusick and Matsuno identities. Chapter 6 is devoted to the verifications of the known determinantal solutions of several nonlinear equations which arise in three branches of mathematical physics, namely lattice, soliton and relativity theory. They include the KdV, Toda and Einstein equations. The solutions are verified by applying theorems established in earlier chapters and in the extensive appendix. The book ends with an extensive bibliography and an index. Mathematicians, physicists and engineers who wish to become acquainted with modern developments in the analytic theory of determinants will find the book indispensable.
Product Details
Hardcover: 396 pages
Publisher: Springer; 1 edition (November 20, 1998)
Language: English
ISBN-10: 0387985581
ISBN-13: 978-0387985589
Product Dimensions: 9.5 x 6.3 x 0.9 inches

Phần bên dưới chỉ hiển thị một số trang ngẫu nhiên trong tài liệu. Bạn tải về để xem được bản đầy đủ

GỢI Ý

Những tài liệu gần giống với tài liệu bạn đang xem

A Course in Modern Mathematical Physics

Upload: nxuanthai2005

📎 Số trang: 600
👁 Lượt xem: 484
⬇ Lượt tải: 16

Tìm tài liệu

Info

Phần bên dưới chỉ hiển thị một số trang ngẫu nhiên trong tài liệu. Bạn tải về để xem được bản đầy đủ

GỢI Ý

QUAN TÂM

CHUYÊN MỤC

KhoTri thức số

Về chúng tôi

MENU

LIÊN HỆ

098 333 9285