During his lifetime, L. K. Hua played a leading role in and exerted a great influence upon the development in China of modern mathematics, both pure and applied. His mathematical career began in 1931 at Tsinghua University where he continued as a professor for many years. Hua made many significant contributions to number theory, algebra, geometry, complex analysis, numerical analysis, and operations research. In particular, he initiated the study of classical groups in China and developed new matrix methods which, as applied by him as well as his followers, were instrumental in the successful attack of many problems. To honor his memory, a joint China-U.S. conference on Classical Groups and Related Topics was held at Tsinghua University in Beijing in May 1987. This volume represents the proceedings of that conference and contains both survey articles and research papers focusing on classical groups and closely related topics.

Classical Groups and Related Topics (Contemporary Mathematics)

Science & Math

Hahn, Alexander J.

Wan, Zhe-Xian

James, Donald G.

Mathematics

Amer Mathematical Society

INTRODUCTION TO KAC-MOODY ALGEBRAS

This book is an introduction to a rapidly growing subject of modern mathematics, the Kac-Moody algebra, which was introduced by V Kac and R Moody simultanously and independently in 1968.

World Scientific Publishing Company

The present monograph is a state-of-art survey of the geometry of matrices whose study was initiated by L K Hua in the forties. The geometry of rectangular matrices, of alternate matrices, of symmetric matrices, and of hermitian matrices over a division ring or a field are studied in detail. The author's recent results on geometry of symmetric matrices and of hermitian matrices are included. A chapter on linear algebra over a division ring and one on affine and projective geometry over a division ring are also included. The book is clearly written so that graduate students and third or fourth year undergraduate students in mathematics can read it without difficulty.

GEOMETRY OF MATRICES: IN MEMORY OF PROFESSOR L K HUA (1910 - 1985)

Wan, Che-Hsien

Hua, Lo-Keng

World Scientific Pub Co Inc

In recent years quaternary codes have attracted the attention of the coding community as several notorious binary nonlinear codes containing more codewords than any known linear codes were found to be binary images under the Gray map of linear codes over 94. This discovery opens the way for a broader study of quaternary codes, which constitute a rapidly growing area of coding theory. This book is based on the author's lectures in Xi'an, China and Lund, Sweden and covers the most recent developments of this theory.

QUATERNARY CODES (Applied Mathematics)

LECTURES ON FINITE FIELDS AND GALOIS RINGS

This is a textbook for graduate and upper level undergraduate students in mathematics, computer science, communication engineering and other fields. The explicit construction of finite fields and the computation in finite fields are emphasised. In particular, the construction of irreducible polynomials and the normal basis of finite fields are included. The essentials of Galois rings are also presented. This invaluable book has been written in a friendly style, so that lecturers can easily use it as a text and students can use it for self-study. A great number of exercises have been incorporated.

This book deals with the basic subjects of design theory. It begins with balanced incomplete block designs, various constructions of which are described in ample detail. In particular, finite projective and affine planes, difference sets and Hadamard matrices, as tools to construct balanced incomplete block designs, are included. Orthogonal latin squares are also treated in detail. Zhu's simpler proof of the falsity of Euler's conjecture is included. The construction of some classes of balanced incomplete block designs, such as Steiner triple systems and Kirkman triple systems, are also given. T-designs and partially balanced incomplete block designs (together with association schemes), as generalizations of balanced incomplete block designs, are included. Some coding theory related to Steiner triple systems are clearly explained. The book is written in a lucid style and is algebraic in nature. It can be used as a text or a reference book for graduate students and researchers in combinatorics and applied mathematics. It is also suitable for self-study.

DESIGN THEORY

A large portion of the book can be used as a textbook for graduate and upper level undergraduate students in mathematics, communication engineering, computer science and other fields. The remaining part can be used as references for specialists. Explicit construction and computation of finite fields are emphasized. In particular, the construction of irreducible polynomials and normal basis of finite field is included. A detailed treatment of optimal normal basis and Galoi's rings is included. It is the first time that the galois rings are in book form.

FINITE FIELDS AND GALOIS RINGS

Computers & Technology

Computer Science

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

Books by Wan, Zhe-Xian

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

Classical Groups and Related Topics (Contemporary Mathematics)

INTRODUCTION TO KAC-MOODY ALGEBRAS

GEOMETRY OF MATRICES: IN MEMORY OF PROFESSOR L K HUA (1910 - 1985)

QUATERNARY CODES (Applied Mathematics)

LECTURES ON FINITE FIELDS AND GALOIS RINGS

LECTURES ON FINITE FIELDS AND GALOIS RINGS

DESIGN THEORY

FINITE FIELDS AND GALOIS RINGS