Solomon W. Golomb's Books

Solomon Golomb’s Course on Undergraduate Combinatorics

By: Solomon W. Golomb,Andy Liu

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Solomon Golomb’s Course on Undergraduate Combinatorics

By: Solomon W. Golomb,Andy Liu

This textbook offers an accessible introduction to combinatorics, infused with Solomon Golomb’s insights and illustrative examples. Core concepts in combinatorics are presented with an engaging narrative that suits undergraduate study at any level. Featuring early coverage of the Principle of Inclusion-Exclusion and a unified treatment of permutations later on, the structure emphasizes the cohesive development of ideas. Combined with the conversational style, this approach is especially well suited to independent study. Falling naturally into three parts, the book begins with a flexible Chapter Zero that can be used to cover essential background topics, or as a standalone problem-solving course. The following three chapters cover core topics in combinatorics, such as combinations, generating functions, and permutations. The final three chapters present additional topics, such as Fibonacci numbers, finite groups, and combinatorial structures. Numerous illuminating examples are included throughout, along with exercises of all levels. Three appendices include additional exercises, examples, and solutions to a selection of problems. Solomon Golomb’s Course on Undergraduate Combinatorics is ideal for introducing mathematics students to combinatorics at any stage in their program. There are no formal prerequisites, but readers will benefit from mathematical curiosity and a willingness to engage in the book’s many entertaining challenges.

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Page Count

458

Publisher

Springer Nature

Published Date

ISBN 10

3030722287

ISBN 13

9783030722289

Shift Register Sequences: Secure And Limited-access Code Generators, Efficiency Code Generators, Prescribed Property Generators, Mathematical Models (Third Revised Edition)

By: Solomon W Golomb

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Shift Register Sequences: Secure And Limited-access Code Generators, Efficiency Code Generators, Prescribed Property Generators, Mathematical Models (Third Revised Edition)

By: Solomon W Golomb

Shift register sequences cover a broad range of applications, from radar signal design, pseudo-random number generation, digital wireless telephony, and many other areas in coded communications. It is the primary area for which the author, Dr Golomb, received the US National Medal of Science. This book is the third, revised edition of the original definitive book on shift register sequences which was published in 1967, which has been widely distributed, read, and cited. It has stood the test of time, and provides a clear, comprehensive, and readily applicable description of both linear and non-linear shift register sequences.

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Page Count

272

Publisher

World Scientific

Published Date

ISBN 10

9814632023

ISBN 13

9789814632027

Polyominoes

Puzzles, Patterns, Problems, and Packings - Revised and Expanded Second Edition

By: Solomon W. Golomb

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Polyominoes

Puzzles, Patterns, Problems, and Packings - Revised and Expanded Second Edition

By: Solomon W. Golomb

Inspiring popular video games like Tetris while contributing to the study of combinatorial geometry and tiling theory, polyominoes have continued to spark interest ever since their inventor, Solomon Golomb, introduced them to puzzle enthusiasts several decades ago. In this fully revised and expanded edition of his landmark book, the author takes a new generation of readers on a mathematical journey into the world of the deceptively simple polyomino. Golomb incorporates important, recent developments, and poses problems, inviting the reader to play with and develop an understanding of the extraordinary properties of polyominoes.

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Page Count

204

Publisher

Princeton University Press

Published Date

ISBN 10

0691215057

ISBN 13

9780691215051

Signal Design for Good Correlation

For Wireless Communication, Cryptography, and Radar

By: Solomon W. Golomb,Guang Gong

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Signal Design for Good Correlation

For Wireless Communication, Cryptography, and Radar

By: Solomon W. Golomb,Guang Gong

This book provides a comprehensive treatment of methodologies and applications including CDMA telephony, coded radar, and stream cipher generation.

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Page Count

460

Publisher

Cambridge University Press

Published Date

ISBN 10

0521821045

ISBN 13

9780521821049

Basic Concepts in Information Theory and Coding

The Adventures of Secret Agent 00111

By: Solomon W. Golomb,Robert E. Peile,Robert A. Scholtz

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Basic Concepts in Information Theory and Coding

The Adventures of Secret Agent 00111

By: Solomon W. Golomb,Robert E. Peile,Robert A. Scholtz

Basic Concepts in Information Theory and Coding is an outgrowth of a one semester introductory course that has been taught at the University of Southern California since the mid-1960s. Lecture notes from that course have evolved in response to student reaction, new technological and theoretical develop ments, and the insights of faculty members who have taught the course (in cluding the three of us). In presenting this material, we have made it accessible to a broad audience by limiting prerequisites to basic calculus and the ele mentary concepts of discrete probability theory. To keep the material suitable for a one-semester course, we have limited its scope to discrete information theory and a general discussion of coding theory without detailed treatment of algorithms for encoding and decoding for various specific code classes. Readers will find that this book offers an unusually thorough treatment of noiseless self-synchronizing codes, as well as the advantage of problem sections that have been honed by reactions and interactions of several gen erations of bright students, while Agent 00111 provides a context for the discussion of abstract concepts.

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Page Count

442

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1475723199

ISBN 13

9781475723199

Polyominoes

Puzzles, Patterns, Problems, and Packings - Revised and Expanded Second Edition

By: Solomon W. Golomb

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Polyominoes

Puzzles, Patterns, Problems, and Packings - Revised and Expanded Second Edition

By: Solomon W. Golomb

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Page Count

204

Publisher

Princeton University Press

Published Date

ISBN 10

0691215057

ISBN 13

9780691215051

Book's by Solomon W. Golomb

Solomon Golomb’s Course on Undergraduate Combinatorics

Solomon Golomb’s Course on Undergraduate Combinatorics

Shift Register Sequences: Secure And Limited-access Code Generators, Efficiency Code Generators, Prescribed Property Generators, Mathematical Models (Third Revised Edition)

Shift Register Sequences: Secure And Limited-access Code Generators, Efficiency Code Generators, Prescribed Property Generators, Mathematical Models (Third Revised Edition)

Polyominoes

Polyominoes

Signal Design for Good Correlation

Signal Design for Good Correlation

Basic Concepts in Information Theory and Coding

Basic Concepts in Information Theory and Coding

Polyominoes

Polyominoes

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