Unsolved Problems in Number Theory PDF Download

Author: Richard Guy
Publisher: Springer Science & Business Media
ISBN: 1475717385
Category : Mathematics
Languages : en
Pages : 176

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Book Description
Second edition sold 2241 copies in N.A. and 1600 ROW. New edition contains 50 percent new material.

Author: Hallard T. Croft
Publisher: Springer Science & Business Media
ISBN: 1461209633
Category : Mathematics
Languages : en
Pages : 213

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Book Description
Mathematicians and non-mathematicians alike have long been fascinated by geometrical problems, particularly those that are intuitive in the sense of being easy to state, perhaps with the aid of a simple diagram. Each section in the book describes a problem or a group of related problems. Usually the problems are capable of generalization of variation in many directions. The book can be appreciated at many levels and is intended for everyone from amateurs to research mathematicians.

Author: Daniel Shanks
Publisher: American Mathematical Society
ISBN: 1470476452
Category : Mathematics
Languages : en
Pages : 321

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Book Description
The investigation of three problems, perfect numbers, periodic decimals, and Pythagorean numbers, has given rise to much of elementary number theory. In this book, Daniel Shanks, past editor of Mathematics of Computation, shows how each result leads to further results and conjectures. The outcome is a most exciting and unusual treatment. This edition contains a new chapter presenting research done between 1962 and 1978, emphasizing results that were achieved with the help of computers.

Author: Victor Klee
Publisher: American Mathematical Soc.
ISBN: 1470454610
Category : Education
Languages : en
Pages : 352

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Book Description
Victor Klee and Stan Wagon discuss some of the unsolved problems in number theory and geometry, many of which can be understood by readers with a very modest mathematical background. The presentation is organized around 24 central problems, many of which are accompanied by other, related problems. The authors place each problem in its historical and mathematical context, and the discussion is at the level of undergraduate mathematics. Each problem section is presented in two parts. The first gives an elementary overview discussing the history and both the solved and unsolved variants of the problem. The second part contains more details, including a few proofs of related results, a wider and deeper survey of what is known about the problem and its relatives, and a large collection of references. Both parts contain exercises, with solutions. The book is aimed at both teachers and students of mathematics who want to know more about famous unsolved problems.

Author: Hallard T. Croft
Publisher: New York : Springer-Verlag
ISBN:
Category : Mathematics
Languages : en
Pages : 224

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Book Description
For mathematicians or others who wish to keep up to date with the state of the art of geometrical problems, this collection of problems that are easy to state and understand but are as yet unsolved covers a wide variety of topics including convex sets, polyhedra, packing and covering, tiling, and combinatorial problems. Annotation copyrighted by Book News, Inc., Portland, OR.

Author: Vincent D. Blondel
Publisher: Princeton University Press
ISBN: 1400826152
Category : Mathematics
Languages : en
Pages : 351

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Book Description
This book provides clear presentations of more than sixty important unsolved problems in mathematical systems and control theory. Each of the problems included here is proposed by a leading expert and set forth in an accessible manner. Covering a wide range of areas, the book will be an ideal reference for anyone interested in the latest developments in the field, including specialists in applied mathematics, engineering, and computer science. The book consists of ten parts representing various problem areas, and each chapter sets forth a different problem presented by a researcher in the particular area and in the same way: description of the problem, motivation and history, available results, and bibliography. It aims not only to encourage work on the included problems but also to suggest new ones and generate fresh research. The reader will be able to submit solutions for possible inclusion on an online version of the book to be updated quarterly on the Princeton University Press website, and thus also be able to access solutions, updated information, and partial solutions as they are developed.

Author: David Joyner
Publisher: Springer Science & Business Media
ISBN: 0817682562
Category : Mathematics
Languages : en
Pages : 211

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Book Description
Using an original mode of presentation, and emphasizing the computational nature of the subject, this book explores a number of the unsolved problems that still exist in coding theory. A well-established and highly relevant branch of mathematics, the theory of error-correcting codes is concerned with reliably transmitting data over a ‘noisy’ channel. Despite frequent use in a range of contexts, the subject still contains interesting unsolved problems that have resisted solution by some of the most prominent mathematicians of recent decades. Employing Sage—a free open-source mathematics software system—to illustrate ideas, this book is intended for graduate students and researchers in algebraic coding theory. The work may be used as supplementary reading material in a graduate course on coding theory or for self-study.

Author: Fan Chung
Publisher: CRC Press
ISBN: 100010866X
Category : Mathematics
Languages : en
Pages : 155

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Book Description
This book is a tribute to Paul Erdos, the wandering mathematician once described as the "prince of problem solvers and the absolute monarch of problem posers." It examines the legacy of open problems he left to the world after his death in 1996.

Author: John R. Vacca
Publisher: Prentice-Hall PTR
ISBN:
Category : Computers
Languages : en
Pages : 712

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Book Description
When Phebe Hedges, a woman in East Hampton, New York, walked into the sea in 1806, she made visible the historical experience of a family affected by the dreaded disorder of movement, mind, and mood her neighbors called St.Vitus's dance. Doctors later spoke of Huntington’s chorea, and today it is known as Huntington's disease. This book is the first history of Huntington’s in America. Starting with the life of Phebe Hedges, Alice Wexler uses Huntington’s as a lens to explore the changing meanings of heredity, disability, stigma, and medical knowledge among ordinary people as well as scientists and physicians. She addresses these themes through three overlapping stories: the lives of a nineteenth-century family once said to “belong to the disease”; the emergence of Huntington’s chorea as a clinical entity; and the early-twentieth-century transformation of this disorder into a cautionary eugenics tale. In our own era of expanding genetic technologies, this history offers insights into the social contexts of medical and scientific knowledge, as well as the legacy of eugenics in shaping both the knowledge and the lived experience of this disease.

Author: John N. Bahcall
Publisher: Princeton University Press
ISBN: 9780691016061
Category : Science
Languages : en
Pages : 398

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Book Description
The field of astrophysics is in the midst of a technological renaissance. The emphasis of this collection of essays, composed by a stellar group of astronomers and astrophysicists, is on the current state of our knowledge as a preparation for future unraveling of more mysteries of the universe, which appear most amenable to solution. Aspiring atrophysicists will be enthralled.