Background
Berlekamp, Elwyn Ralph was born on September 6, 1940 in Dover, Ohio, United States. Son of Waldo and Loretta Berlekamp.
http://www.amazon.com/gp/product/3211810889/?tag=2022091-20
(Mathematics, Engineering, Physics, Nat. Sciences)
Mathematics, Engineering, Physics, Nat. Sciences
http://www.amazon.com/gp/product/B000LCIW3Y/?tag=2022091-20
(This book concerns state-of-the-art coding and decoding m...)
This book concerns state-of-the-art coding and decoding methods. Research reviewed in the book include Berlekamp's algorithm for factoring polynomials (the first significant improvement on a classical mathematical problem in almost two centuries), and Berlekamp's algorithm for decoding Bose- Chaudhuri-Hocquenghem and Reed-Solomon codes. For the past 15 years, this coding algorithm has been used universally in algebraic decoders that correct multiple errors in communications or computer memory systems. Chapters include: Basic Binary Codes; Arithmetic Operations Modulo an Irreducible Binary Polynomial; The Number of Irreducible q-ary Polynomials of Given Degree; The Factorization of Polynomials Over Finite Fields; The Enumeration of Information Symbols in BCH Codes; appendices and references.
http://www.amazon.com/gp/product/0894120638/?tag=2022091-20
(In this unique book, the authors, both only amateur Go pl...)
In this unique book, the authors, both only amateur Go players themselves, develop the mathematical techniques for solving late-stage endgame problems that can stump top-ranking professionals. As a typical game of Go approaches its conclusion, the active regions of play become independent of one another, and the overall board position may be regarded as a sum of disconnected partial board positions. Combinatorial game theory, a branch of mathematics Berlekamp helped develop, has long been concerned with such sums of games. Here, it is applied to solving Go-related problems with a bewildering choice of similar-looking moves and subtle priority relationships. The theory presented in this book assigns each active area on the board an abstract value and then shows how to compare them to select the optimum move or add them up to determine the ideal outcome. Some of the values are familiar numbers or fractions, but most are more bizarre objects quite unlike anything in the existing Co literature. From these abstractions, the reader learns that positions seeming ro have the same numerical value can be crucially different while positions that appear completely different can be mathematically identical. A go player with an interest in mathematics or a mathematician interested in Go will not want to miss this book because it describes substantial connections between the two subjects which have been, until now, overlooked.
http://www.amazon.com/gp/product/0923891366/?tag=2022091-20
http://www.amazon.com/gp/product/B01FKSTSJA/?tag=2022091-20
(The ancient game of Go is one of the less obvious candida...)
The ancient game of Go is one of the less obvious candidates for mathematical analysis. With the development of new concepts in combinatorial game theory, the authors have been able to analyze Go games and find solutions to real endgame problems that have stumped professional Go players. Go players with an interest in mathematics and mathematicians who work in game theory will not want to miss this book because it describes substantial connections between the two subjects that have been, until now, largely unrecognized.
http://www.amazon.com/gp/product/1568810326/?tag=2022091-20
http://www.amazon.com/gp/product/0879420324/?tag=2022091-20
(This is the revised edition of Berlekamp's famous book, "...)
This is the revised edition of Berlekamp's famous book, "Algebraic Coding Theory", originally published in 1968, wherein he introduced several algorithms which have subsequently dominated engineering practice in this field. One of these is an algorithm for decoding Reed-Solomon and Bose–Chaudhuri–Hocquenghem codes that subsequently became known as the Berlekamp–Massey Algorithm. Another is the Berlekamp algorithm for factoring polynomials over finite fields, whose later extensions and embellishments became widely used in symbolic manipulation systems. Other novel algorithms improved the basic methods for doing various arithmetic operations in finite fields of characteristic two. Other major research contributions in this book included a new class of Lee metric codes, and precise asymptotic results on the number of information symbols in long binary Bch codes. Selected chapters of the book became a standard graduate textbook. Both practicing engineers and scholars will find this book to be of great value.
http://www.amazon.com/gp/product/B01GTUWTAS/?tag=2022091-20
http://www.amazon.com/gp/product/0070049033/?tag=2022091-20
http://www.amazon.com/gp/product/B01K3ISSR0/?tag=2022091-20
Berlekamp, Elwyn Ralph was born on September 6, 1940 in Dover, Ohio, United States. Son of Waldo and Loretta Berlekamp.
Bachelor of Science in Electrical Engineering, Massachusetts Institute of Technology, 1962; Master of Science in Electrical Engineering, Massachusetts Institute of Technology, 1962; Doctor of Philosophy in Elec. Engineering, Massachusetts Institute of Technology, 1964.
Assistant professor, University of California, Berkeley, 1964-1966; member technical staff, Bell laboratories, Murray Hill, New Jersey, 1966-1971; professor mathematics, University of California, Berkeley, since 1971; associate chairman of electrical engineering and computer science department, University of California, Berkeley, 1975-1977; president, Cyclotomics, Berkeley, 1981-1989; president, Axcom, Berkeley, 1989-1990. Board directors Cylink, AK Peters, Ltd. Chairman of the Board Mathematics Science Research Insurance, Berkeley.
(This is the revised edition of Berlekamp's famous book, "...)
(In this unique book, the authors, both only amateur Go pl...)
(The ancient game of Go is one of the less obvious candida...)
(This book concerns state-of-the-art coding and decoding m...)
(Mathematics, Engineering, Physics, Nat. Sciences)
Fellow Institute of Electrical and Electronics Engineers (best research paper award 1967, centennial medal 1984, KojiKobayashi award 1990, Hamming award 1991), Information Theory Society of Institute of Electrical and Electronics Engineers(president 1973, Shannon award 1993). Member National Academy of Engineering, American Association for the Advancement of Science, American Mathematics Society (Board of Governors 1980-1982).
Married Jennifer Joan Wilson, August 21, 1966. Children: Persis, Bronwen, David.
