The Great Mathematical Problems

The Great Mathematical Problems PDF Author: Ian Stewart
Publisher: Profile Books
ISBN: 1847653510
Category : Mathematics
Languages : en
Pages : 468

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Book Description
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.

The Great Mathematical Problems

The Great Mathematical Problems PDF Author: Ian Stewart
Publisher: Profile Books
ISBN: 1847653510
Category : Mathematics
Languages : en
Pages : 468

Get Book Here

Book Description
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.

Famous Problems of Mathematics

Famous Problems of Mathematics PDF Author: Heinrich Tietse
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 0

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Book Description


Famous Problems of Geometry and How to Solve Them

Famous Problems of Geometry and How to Solve Them PDF Author: Benjamin Bold
Publisher: Courier Corporation
ISBN: 0486137635
Category : Science
Languages : en
Pages : 148

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Book Description
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.

Famous Puzzles of Great Mathematicians

Famous Puzzles of Great Mathematicians PDF Author: Miodrag Petkovi_
Publisher: American Mathematical Soc.
ISBN: 0821848143
Category : Mathematics
Languages : en
Pages : 346

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Book Description
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.

100 Great Problems of Elementary Mathematics

100 Great Problems of Elementary Mathematics PDF Author: Heinrich Dörrie
Publisher: Courier Corporation
ISBN: 0486318478
Category : Mathematics
Languages : en
Pages : 418

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Book Description
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.

Famous Problems and Their Mathematicians

Famous Problems and Their Mathematicians PDF Author: Art Johnson
Publisher: Bloomsbury Publishing USA
ISBN: 0313078955
Category : Language Arts & Disciplines
Languages : en
Pages : 198

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Book Description
Why did ordering an omelet cost one mathematician his life? Answers to this and other questions are found in this exciting new resource that shows your students how 60 mathematicians discovered mathematical solutions through everyday situations. These lessons are easily incorporated into the present curriculum as an introduction to a math concept, a homework piece, or an extra challenge. Teacher notes and suggestions for the classroom are followed by extension problems and additional background material. This is a great way to spark student interest in math. Grades 5-12.

What to Solve?

What to Solve? PDF Author: Judita Cofman
Publisher: Oxford University Press on Demand
ISBN: 9780198532941
Category : Mathematics
Languages : en
Pages : 250

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Book Description
Solving mathematical problems is a favourite pastime of many people - this book contains a wide variety of problems which will stimulate interest in mathematical ideas and methods in teenagers and students.

The Simpsons and Their Mathematical Secrets

The Simpsons and Their Mathematical Secrets PDF Author: Simon Singh
Publisher: A&C Black
ISBN: 1408835304
Category : Mathematics
Languages : en
Pages : 266

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Book Description
From bestselling author of Fermat's Last Theorem, a must-have for number lovers and Simpsons fans

Tales of Impossibility

Tales of Impossibility PDF Author: David S. Richeson
Publisher: Princeton University Press
ISBN: 0691218722
Category : Mathematics
Languages : en
Pages : 450

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Book Description
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.

The Problems of Mathematics

The Problems of Mathematics PDF Author: Ian Stewart
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 382

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Book Description
For the second edition of this introduction to today's mathematics, Ian Stewart has revised the text to take account of recent developments in the field. There are three new chapters, including one on Kepler's sphere-packing problem, which has taken 380 years to solve.