The Great Mathematical Problems

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The Great Mathematical Problems

Ian Stewart
The Great Mathematical Problems Book PDF

Author : Ian Stewart
Publisher : Profile Books
Page : 340 pages
File Size : 41,6 Mb
Release : 2013-03-07
Category : Mathematics
ISBN : 9781847653512

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The Great Mathematical Problems by Ian Stewart Pdf

There are some mathematical problems whose significance goes beyond the ordinary - like Fermat's Last Theorem or Goldbach's Conjecture - they are the enigmas which define mathematics. The Great Mathematical Problems explains why these problems exist, why they matter, what drives mathematicians to incredible lengths to solve them and where they stand in the context of mathematics and science as a whole. It contains solved problems - like the Poincar Conjecture, cracked by the eccentric genius Grigori Perelman, who refused academic honours and a million-dollar prize for his work, and ones which, like the Riemann Hypothesis, remain baffling after centuries. Stewart is the guide to this mysterious and exciting world, showing how modern mathematicians constantly rise to the challenges set by their predecessors, as the great mathematical problems of the past succumb to the new techniques and ideas of the present.

100 Great Problems of Elementary Mathematics

Heinrich Dörrie
100 Great Problems of Elementary Mathematics Book PDF

Author : Heinrich Dörrie
Publisher : Courier Corporation
Page : 416 pages
File Size : 42,8 Mb
Release : 2013-04-09
Category : Mathematics
ISBN : 9780486318479

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100 Great Problems of Elementary Mathematics by Heinrich Dörrie Pdf

Problems that beset Archimedes, Newton, Euler, Cauchy, Gauss, Monge, Steiner, and other great mathematical minds. Features squaring the circle, pi, and similar problems. No advanced math is required. Includes 100 problems with proofs.

Intriguing Mathematical Problems

Oswald Jacoby,William H. Benson
Intriguing Mathematical Problems Book PDF

Author : Oswald Jacoby,William H. Benson
Publisher : Courier Corporation
Page : 208 pages
File Size : 49,5 Mb
Release : 2013-05-23
Category : Science
ISBN : 9780486168364

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Intriguing Mathematical Problems by Oswald Jacoby,William H. Benson Pdf

Treasury of challenging brainteasers includes puzzles involving numbers, letters, probability, reasoning, more: The Enterprising Snail, The Fly and the Bicycles, The Lovesick Cockroaches, many others. No advanced math needed. Solutions.

Famous Problems of Geometry and How to Solve Them

Benjamin Bold
Famous Problems of Geometry and How to Solve Them Book PDF

Author : Benjamin Bold
Publisher : Courier Corporation
Page : 144 pages
File Size : 43,8 Mb
Release : 2012-05-11
Category : Science
ISBN : 9780486137636

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Famous Problems of Geometry and How to Solve Them by Benjamin Bold Pdf

Delve into the development of modern mathematics and match wits with Euclid, Newton, Descartes, and others. Each chapter explores an individual type of challenge, with commentary and practice problems. Solutions.

Problem-Solving Strategies

Arthur Engel
Problem Solving Strategies Book PDF

Author : Arthur Engel
Publisher : Springer Science & Business Media
Page : 403 pages
File Size : 49,9 Mb
Release : 2008-01-19
Category : Mathematics
ISBN : 9780387226415

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Problem-Solving Strategies by Arthur Engel Pdf

A unique collection of competition problems from over twenty major national and international mathematical competitions for high school students. Written for trainers and participants of contests of all levels up to the highest level, this will appeal to high school teachers conducting a mathematics club who need a range of simple to complex problems and to those instructors wishing to pose a "problem of the week", thus bringing a creative atmosphere into the classrooms. Equally, this is a must-have for individuals interested in solving difficult and challenging problems. Each chapter starts with typical examples illustrating the central concepts and is followed by a number of carefully selected problems and their solutions. Most of the solutions are complete, but some merely point to the road leading to the final solution. In addition to being a valuable resource of mathematical problems and solution strategies, this is the most complete training book on the market.

Millenium and Great Problems in Mathematics

Ian Stewart
Millenium and Great Problems in Mathematics Book PDF

Author : Ian Stewart
Publisher : Unknown
Page : 352 pages
File Size : 55,6 Mb
Release : 2014-03-06
Category : Mathematics
ISBN : 1846683378

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Millenium and Great Problems in Mathematics by Ian Stewart Pdf

There are some mathematical problems whose significance goes beyond the ordinary - like Fermat's Last Theorem or Goldbach's Conjecture - they are the enigmas which define mathematics. The Great Mathematical Problems explains why these problems exist, why they matter, what drives mathematicians to incredible lengths to solve them and where they stand in the context of mathematics and science as a whole. It contains solved problems - like the Poincaré Conjecture, cracked by the eccentric genius Grigori Perelman, who refused academic honours and a million-dollar prize for his work, and ones which, like the Riemann Hypothesis, remain baffling after centuries.Stewart is the guide to this mysterious and exciting world, showing how modern mathematicians constantly rise to the challenges set by their predecessors, as the great mathematical problems of the past succumb to the new techniques and ideas of the present. If you loved Professor Dt

How Not to Be Wrong

Jordan Ellenberg
How Not to Be Wrong Book PDF

Author : Jordan Ellenberg
Publisher : Penguin Press
Page : 480 pages
File Size : 42,8 Mb
Release : 2014-05-29
Category : Mathematics
ISBN : 9781594205224

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How Not to Be Wrong by Jordan Ellenberg Pdf

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.

The Green Book of Mathematical Problems

Kenneth Hardy,Kenneth S. Williams
The Green Book of Mathematical Problems Book PDF

Author : Kenneth Hardy,Kenneth S. Williams
Publisher : Courier Corporation
Page : 184 pages
File Size : 41,9 Mb
Release : 2013-11-26
Category : Mathematics
ISBN : 9780486169453

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The Green Book of Mathematical Problems by Kenneth Hardy,Kenneth S. Williams Pdf

Rich selection of 100 practice problems — with hints and solutions — for students preparing for the William Lowell Putnam and other undergraduate-level mathematical competitions. Features real numbers, differential equations, integrals, polynomials, sets, other topics. Hours of stimulating challenge for math buffs at varying degrees of proficiency. References.

Solving Mathematical Problems

Terence Tao
Solving Mathematical Problems Book PDF

Author : Terence Tao
Publisher : OUP Oxford
Page : 116 pages
File Size : 40,5 Mb
Release : 2006-07-28
Category : Mathematics
ISBN : 9780191568695

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Solving Mathematical Problems by Terence Tao Pdf

Authored by a leading name in mathematics, this engaging and clearly presented text leads the reader through the tactics involved in solving mathematical problems at the Mathematical Olympiad level. With numerous exercises and assuming only basic mathematics, this text is ideal for students of 14 years and above in pure mathematics.

Tales of Impossibility

David S. Richeson
Tales of Impossibility Book PDF

Author : David S. Richeson
Publisher : Princeton University Press
Page : 450 pages
File Size : 53,5 Mb
Release : 2021-11-02
Category : Mathematics
ISBN : 9780691218724

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Tales of Impossibility by David S. Richeson Pdf

A comprehensive look at four of the most famous problems in mathematics Tales of Impossibility recounts the intriguing story of the renowned problems of antiquity, four of the most famous and studied questions in the history of mathematics. First posed by the ancient Greeks, these compass and straightedge problems—squaring the circle, trisecting an angle, doubling the cube, and inscribing regular polygons in a circle—have served as ever-present muses for mathematicians for more than two millennia. David Richeson follows the trail of these problems to show that ultimately their proofs—which demonstrated the impossibility of solving them using only a compass and straightedge—depended on and resulted in the growth of mathematics. Richeson investigates how celebrated luminaries, including Euclid, Archimedes, Viète, Descartes, Newton, and Gauss, labored to understand these problems and how many major mathematical discoveries were related to their explorations. Although the problems were based in geometry, their resolutions were not, and had to wait until the nineteenth century, when mathematicians had developed the theory of real and complex numbers, analytic geometry, algebra, and calculus. Pierre Wantzel, a little-known mathematician, and Ferdinand von Lindemann, through his work on pi, finally determined the problems were impossible to solve. Along the way, Richeson provides entertaining anecdotes connected to the problems, such as how the Indiana state legislature passed a bill setting an incorrect value for pi and how Leonardo da Vinci made elegant contributions in his own study of these problems. Taking readers from the classical period to the present, Tales of Impossibility chronicles how four unsolvable problems have captivated mathematical thinking for centuries.

Unsolved Problems in Number Theory

Richard Guy,R.K. Guy
Unsolved Problems in Number Theory Book PDF

Author : Richard Guy,R.K. Guy
Publisher : Springer Science & Business Media
Page : 176 pages
File Size : 43,9 Mb
Release : 2013-06-29
Category : Mathematics
ISBN : 9781475717389

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Unsolved Problems in Number Theory by Richard Guy,R.K. Guy Pdf

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

The Mathematical Universe

William Dunham
The Mathematical Universe Book PDF

Author : William Dunham
Publisher : John Wiley & Sons
Page : 323 pages
File Size : 55,7 Mb
Release : 1994-08-16
Category : Mathematics
ISBN : 9780471536567

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The Mathematical Universe by William Dunham Pdf

"Dunham writes for nonspecialists, and they will enjoy his piquantanecdotes and amusing asides -- Booklist "Artfully, Dunham conducts a tour of the mathematical universe. . .he believes these ideas to be accessible to the audience he wantsto reach, and he writes so that they are." -- Nature "If you want to encourage anyone's interest in math, get them TheMathematical Universe." * New Scientist

Mathematical Mountaintops

J. L. Casti
Mathematical Mountaintops Book PDF

Author : J. L. Casti
Publisher : Oxford University Press, USA
Page : 204 pages
File Size : 50,5 Mb
Release : 2001
Category : Mathematics
ISBN : UOM:39015047462414

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Mathematical Mountaintops by J. L. Casti Pdf

In this brilliant account of mathematicians in action, Casti invites readers to scale mathematical peaks as he recreates solutions to the five greatest mathematical problems of all time. 30 halftones and line illustrations.

Problem-Solving Through Problems

Loren C. Larson
Problem Solving Through Problems Book PDF

Author : Loren C. Larson
Publisher : Springer Science & Business Media
Page : 352 pages
File Size : 49,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461254980

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Problem-Solving Through Problems by Loren C. Larson Pdf

This is a practical anthology of some of the best elementary problems in different branches of mathematics. Arranged by subject, the problems highlight the most common problem-solving techniques encountered in undergraduate mathematics. This book teaches the important principles and broad strategies for coping with the experience of solving problems. It has been found very helpful for students preparing for the Putnam exam.

Famous Puzzles of Great Mathematicians

Miodrag Petkovi_
Famous Puzzles of Great Mathematicians Book PDF

Author : Miodrag Petkovi_
Publisher : American Mathematical Soc.
Page : 346 pages
File Size : 45,5 Mb
Release : 2009-09-02
Category : Mathematics
ISBN : 9780821848142

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Famous Puzzles of Great Mathematicians by Miodrag Petkovi_ Pdf

This entertaining book presents a collection of 180 famous mathematical puzzles and intriguing elementary problems that great mathematicians have posed, discussed, and/or solved. The selected problems do not require advanced mathematics, making this book accessible to a variety of readers. Mathematical recreations offer a rich playground for both amateur and professional mathematicians. Believing that creative stimuli and aesthetic considerations are closely related, great mathematicians from ancient times to the present have always taken an interest in puzzles and diversions. The goal of this book is to show that famous mathematicians have all communicated brilliant ideas, methodological approaches, and absolute genius in mathematical thoughts by using recreational mathematics as a framework. Concise biographies of many mathematicians mentioned in the text are also included. The majority of the mathematical problems presented in this book originated in number theory, graph theory, optimization, and probability. Others are based on combinatorial and chess problems, while still others are geometrical and arithmetical puzzles. This book is intended to be both entertaining as well as an introduction to various intriguing mathematical topics and ideas. Certainly, many stories and famous puzzles can be very useful to prepare classroom lectures, to inspire and amuse students, and to instill affection for mathematics.