This book deals with the theory of convex and starlike biholomorphic mappings in several complex variables. The underlying theme is the extension to several complex variables of geometric aspects of the classical theory of univalent functions. This is the first book which systematically studies this topic. It gathers together, and presents in a unified manner, the current state of affairs for convex and starlike biholomorphic mappings in several complex variables. The majority of the results presented are due to the author, his co-workers and his students. Audience: This volume will be of interest to research mathematicians whose work involves several complex variables and one complex variable.

Convex and Starlike Mappings in Several Complex Variables (Mathematics and Its Applications, 435)

GONG, SHENG

Computers & Technology

Kluwer

On the basis of Hua Loo-Kengs results on harmonic analysis on classical groups, the author Gong Sheng develops his subject further, drawing togetherresults of his own research as well as works from other Chinese mathematicians. The book is divided into three parts studying harmonic analysis of various groups. Starting with the discussion on unitary groups in part one, the author moves on to rotation groups and unitary symplectic groups in parts 2 and 3. Thus the book provides a survey of harmonic analysis on characteristic manifold of classical domain of first type for real fields, complex fields and quaternion fields. This study will appeal to a wide range of readers from senior mathematics students up to graduate students and to teachers in this field of mathematics.

Harmonic Analysis on Classical Groups

Science & Math

Mathematics

Springer

H.Weyl studied harmonic analysis on compact groups of finite di­ mension. He proved that an orthonormal system exists and that any continuous function on these groups can be approximated by some tinite linear combination of functions in this system. His research, however, seems to be too abstract to yield an explicit expression for the orthonormal system. Thus, we cannot talk about the form of the approximation, nor about its convergence. iO The simplest example of compact groups is {{e }}, on which there exists an orthonormal system inO {{ e }}, n = 0, ± 1, ± 2 , ... , namely 1 J2" ." ." {{I, for n = m; - e,n"e-1m"dO = 2n 0 0, for n =;6 m. The harmonic analysis on this compact group refers to the whole Fourier analysis. So far, extensive literature has been available on this topic. Its remarkable progress is evidenced by the great monograph of seven-hundred pages in two volumes written by A. Zygmund in 1959. iO An immediate extension for {{e }} is group U", which consists of all n X n square matrices U satisfying ufj' = I, where fj' denotes the conjugate transpose matrix of U. As for construction, there is a close relation between the group U and the group S03. Besides, 2 the application of U" has been found more and more important in physics.

general higher education, fifth National planning materials: simple calculus

Higher Education Press Pub. Date :2006-04-01

CONCISE COMPLEX ANALYSIS

A text on complex analysis, treating important results from different angles, presenting a unique viewpoint on complex analysis: that of a geometric function theorist and a broadly trained and published analyst. Features enough material for an entire course in complex analysis, with basic material and upper-level course material. Also features exercises. For graduate students.

World Scientific Pub Co Inc

This is a concise textbook of complex analysis for undergraduate and graduate students. It has been written from the viewpoint of modern mathematics -- the -equation, differential geometry, Lie groups, etc. It contains all the traditional material on complex analysis, but many statements and proofs of classical theorems in complex analysis have been made simpler, shorter and more elegant due to modern mathematical ideas and methods. For example, the Mittag-Leffler theorem is proved by the -equation, the Picard theorem is proved using the methods of differential geometry, and so on.

World Scientific Publishing Company

A concise textbook on complex analysis for undergraduate and graduate students, this book is written from the viewpoint of modern mathematics: the Bar {Partial}-equation, differential geometry, Lie groups, all the traditional material on complex analysis is included. Setting it apart from others, the book makes many statements and proofs of classical theorems in complex analysis simpler, shorter and more elegant: for example, the Mittag–Leffer theorem is proved using the Bar {Partial}-equation, and the Picard theorem is proved using the methods of differential geometry.

CONCISE COMPLEX ANALYSIS (REVISED EDITION)

GONG, YOUHONG

Research

Mathematics is the fundamental knowledge for every scientist. As an academic at the University of Science and Technology of China, Professor Sheng Gong takes his passion for mathematics teaching even further. Besides imparting knowledge to students from the Department of Mathematics, he has created and developed his method of teaching Calculus to help students from physics, engineering and other sciences disciplines understand Calculus faster and deeper in order to meet the needs of applications in their own fields.This book is based on Professor Sheng Gong's 42 years of teaching experience along with a touch of applications of Calculus in other fields such as computer science, engineering. Science students will benefit from the unique way of illustrating theorems in Calculus and also perceive Calculus as a whole instead of a combination of separate topics. The practical examples provided in the book bring motivation to students to learn Calculus.

CONCISE CALCULUS

Mathematics is the fundamental knowledge for every scientist. As an academic at the University of Science and Technology of China, Professor Sheng Gong takes his passion for mathematics teaching even further. Besides imparting knowledge to students from the Department of Mathematics, he has created and developed his method of teaching Calculus to help students from physics, engineering and other sciences disciplines understand Calculus faster and deeper in order to meet the needs of applications in their own fields. This book is based on Professor Sheng Gong's 42 years of teaching experience along with a touch of applications of Calculus in other fields such as computer science, engineering. Science students will benefit from the unique way of illustrating theorems in Calculus and also perceive Calculus as a whole instead of a combination of separate topics. The practical examples provided in the book bring motivation to students to learn Calculus.

Concise Calculus

WSPC

See the best price to sell, buy, or rent books by GONG, SHENG. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by GONG, SHENG

See the best price to sell, buy, or rent books by GONG, SHENG. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Convex and Starlike Mappings in Several Complex Variables (Mathematics and Its Applications, 435)

Harmonic Analysis on Classical Groups

Harmonic Analysis on Classical Groups

general higher education, fifth National planning materials: simple calculus

CONCISE COMPLEX ANALYSIS

CONCISE COMPLEX ANALYSIS

CONCISE COMPLEX ANALYSIS (REVISED EDITION)

CONCISE CALCULUS

Concise Calculus