Author : Florentin Smarandache
Publisher : Infinite Study
Page : 38 pages
File Size : 28,23 MB
Release :
Category :
ISBN :
Partially or totally unsolved questions in number theory and geometry especially, such as coloration problems, elementary geometric conjectures, partitions, generalized periods of a number, length of a generalized period, arithmetic and geometric progressions are exposed.
Author : Richard Guy
Publisher : Springer Science & Business Media
Page : 176 pages
File Size : 26,81 MB
Release : 2013-06-29
Category : Mathematics
ISBN : 1475717385
Second edition sold 2241 copies in N.A. and 1600 ROW. New edition contains 50 percent new material.
Author : Daniel Shanks
Publisher : American Mathematical Society
Page : 321 pages
File Size : 42,67 MB
Release : 2024-01-24
Category : Mathematics
ISBN : 1470476452
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 : Hallard T. Croft
Publisher : Springer Science & Business Media
Page : 213 pages
File Size : 11,59 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 1461209633
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 : Wacław Sierpiński
Publisher : Elsevier Publishing Company
Page : 142 pages
File Size : 29,1 MB
Release : 1970
Category : Mathematics
ISBN :
Author : M. Ram Murty
Publisher : Springer Science & Business Media
Page : 354 pages
File Size : 39,30 MB
Release : 2005-09-28
Category : Mathematics
ISBN : 0387269983
The problems are systematically arranged to reveal the evolution of concepts and ideas of the subject Includes various levels of problems - some are easy and straightforward, while others are more challenging All problems are elegantly solved
Author : David Joyner
Publisher : Springer Science & Business Media
Page : 211 pages
File Size : 43,60 MB
Release : 2011-08-26
Category : Mathematics
ISBN : 0817682562
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 : Vincent D. Blondel
Publisher : Princeton University Press
Page : 351 pages
File Size : 34,42 MB
Release : 2009-04-11
Category : Mathematics
ISBN : 1400826152
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 : John Forbes Nash, Jr.
Publisher : Springer
Page : 543 pages
File Size : 37,5 MB
Release : 2018-05-31
Category : Mathematics
ISBN : 9783319812106
The goal in putting together this unique compilation was to present the current status of the solutions to some of the most essential open problems in pure and applied mathematics. Emphasis is also given to problems in interdisciplinary research for which mathematics plays a key role. This volume comprises highly selected contributions by some of the most eminent mathematicians in the international mathematical community on longstanding problems in very active domains of mathematical research. A joint preface by the two volume editors is followed by a personal farewell to John F. Nash, Jr. written by Michael Th. Rassias. An introduction by Mikhail Gromov highlights some of Nash’s legendary mathematical achievements. The treatment in this book includes open problems in the following fields: algebraic geometry, number theory, analysis, discrete mathematics, PDEs, differential geometry, topology, K-theory, game theory, fluid mechanics, dynamical systems and ergodic theory, cryptography, theoretical computer science, and more. Extensive discussions surrounding the progress made for each problem are designed to reach a wide community of readers, from graduate students and established research mathematicians to physicists, computer scientists, economists, and research scientists who are looking to develop essential and modern new methods and theories to solve a variety of open problems.
Author : Jordan Ellenberg
Publisher : Penguin Press
Page : 480 pages
File Size : 27,50 MB
Release : 2014-05-29
Category : Mathematics
ISBN : 1594205221
A brilliant tour of mathematical thought and a guide to becoming a better thinker, How Not to Be Wrong shows that math is not just a long list of rules to be learned and carried out by rote. Math touches everything we do; It's what makes the world make sense. Using the mathematician's methods and hard-won insights-minus the jargon-professor and popular columnist Jordan Ellenberg guides general readers through his ideas with rigor and lively irreverence, infusing everything from election results to baseball to the existence of God and the psychology of slime molds with a heightened sense of clarity and wonder. Armed with the tools of mathematics, we can see the hidden structures beneath the messy and chaotic surface of our daily lives. How Not to Be Wrong shows us how--Publisher's description.
