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Author: Richard Guy
Publisher: Springer Science & Business Media
Published: 2013-06-29
Total Pages: 176
ISBN-13: 1475717385
DOWNLOAD EBOOKSecond 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
Published: 2012-12-06
Total Pages: 213
ISBN-13: 1461209633
DOWNLOAD EBOOKMathematicians 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
Published: 2024-01-24
Total Pages: 321
ISBN-13: 1470476452
DOWNLOAD EBOOKThe 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.
Published: 2020-07-31
Total Pages: 333
ISBN-13: 1470454610
DOWNLOAD EBOOKVictor 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: Fan Chung
Publisher: CRC Press
Published: 2020-08-26
Total Pages: 155
ISBN-13: 100010866X
DOWNLOAD EBOOKThis 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: Vincent D. Blondel
Publisher: Princeton University Press
Published: 2009-04-11
Total Pages: 351
ISBN-13: 1400826152
DOWNLOAD EBOOKThis 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
Published: 2011-08-26
Total Pages: 211
ISBN-13: 0817682562
DOWNLOAD EBOOKUsing 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: John N. Bahcall
Publisher: Princeton University Press
Published: 1997-02-06
Total Pages: 398
ISBN-13: 9780691016061
DOWNLOAD EBOOKThe 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.
Author: Arthur W. Wiggins
Publisher: Wiley (TP)
Published: 2003-09-12
Total Pages: 246
ISBN-13:
DOWNLOAD EBOOKAn in-depth look at the most intriguing puzzles in science today In this illuminating book, professors Arthur Wiggins and Charles Wynn explore what they believe are the five biggest science problems: Physics: Why do some particles have mass, while others have none? Chemistry: By what series of chemical reactions did atoms form the first living things? Biology: What is the complete structure and function of the proteome? Geology: Is accurate, long-range weather forecasting possible? Astronomy: Why is the universe expanding faster and faster? Wiggins and Wynn carefully explain each of these problems, then discuss the theories that address them. Some of the many topics covered include string theory, the human genome, chaos theory, and protein folding. Featuring humorous illustrations from renowned science cartoonist Sidney Harris, this book invites you to explore the events that led to these problems and the cutting-edge efforts being made to solve them. The authors also provide Idea Folders, which contain additional details about the unsolved problems, and Resources for Digging Deeper, such as books, periodicals, and Web sites.
Author: Hallard T. Croft
Publisher: New York : Springer-Verlag
Published: 1991
Total Pages: 224
ISBN-13:
DOWNLOAD EBOOKFor 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.
