GREAT BREAKTHROUGHS IN MATHEMATICS

GREAT BREAKTHROUGHS IN MATHEMATICS PDF Author: ROBERT. SNEDDEN
Publisher:
ISBN: 9781838572884
Category :
Languages : en
Pages :

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GREAT BREAKTHROUGHS IN MATHEMATICS

GREAT BREAKTHROUGHS IN MATHEMATICS PDF Author: ROBERT. SNEDDEN
Publisher:
ISBN: 9781838572884
Category :
Languages : en
Pages :

Get Book Here

Book Description


Problem Solved!

Problem Solved! PDF Author: Robert Snedden
Publisher: Arcturus Publishing
ISBN: 178950287X
Category : Mathematics
Languages : en
Pages : 279

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Book Description
From early humans carving notches in bones to the discovery of quantum mechanics and chaos theory - mathematics has certainly come a long way. Fully illustrated and augmented with helpful timelines and diagrams, Problem Solved! explores some of history's greatest mathematical breakthroughs. Covering topics from Ancient Egyptian geometry to chaos theory, readers will learn about Euclid of Alexandria, Brahmagupta, Sir Isaac Newton, Alan Turing and more. Whether solving practical or abstract problems, these mathematicians have each sought to improve our lives, and have bought us to the world we know today. With each concept explained in easy-to-understand language, there's no need to be a calculus genius to marvel at these incredible feats of problem-solving brilliance.

Math in 100 Key Breakthroughs

Math in 100 Key Breakthroughs PDF Author: Richard Elwes
Publisher: Quercus
ISBN: 9781623650544
Category : Mathematics
Languages : en
Pages : 0

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Book Description
Richard Elwes is a writer, teacher and researcher in Mathematics, visiting fellow at the University of Leeds, and contributor to numerous popular science magazines. He is a committed and recognized popularizer of mathematics. Of Elwes, Sonder Books 2011 Standouts said, "Dr. Elwes is brilliant at giving the reader the broad perspective, with enough details to fascinate, rather than confuse." Math in 100 Key Breakthroughs offers a series of short, clear-eyed essays explaining the fundamentals of the mathematical concepts everyone should know. Professor Richard Elwes profiles the most important, groundbreaking, and astonishing discoveries, which together have profoundly influenced our understanding of the universe. From the origins of counting--traced back to more than 35,000 years ago--to such contemporary breakthroughs as Wiles' Proof of Fermat's Last Theorem and Cook & Woolfram's Rule 110, this compulsively readable book tells the story of discovery, invention, and inspiration that have led to humankind's most important mathematical achievements.

Concepts of Modern Mathematics

Concepts of Modern Mathematics PDF Author: Ian Stewart
Publisher: Courier Corporation
ISBN: 0486134954
Category : Mathematics
Languages : en
Pages : 367

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Book Description
In this charming volume, a noted English mathematician uses humor and anecdote to illuminate the concepts of groups, sets, subsets, topology, Boolean algebra, and other mathematical subjects. 200 illustrations.

How Mathematicians Think

How Mathematicians Think PDF Author: William Byers
Publisher: Princeton University Press
ISBN: 0691145997
Category : Mathematics
Languages : en
Pages : 424

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Book Description
To many outsiders, mathematicians appear to think like computers, grimly grinding away with a strict formal logic and moving methodically--even algorithmically--from one black-and-white deduction to another. Yet mathematicians often describe their most important breakthroughs as creative, intuitive responses to ambiguity, contradiction, and paradox. A unique examination of this less-familiar aspect of mathematics, How Mathematicians Think reveals that mathematics is a profoundly creative activity and not just a body of formalized rules and results. Nonlogical qualities, William Byers shows, play an essential role in mathematics. Ambiguities, contradictions, and paradoxes can arise when ideas developed in different contexts come into contact. Uncertainties and conflicts do not impede but rather spur the development of mathematics. Creativity often means bringing apparently incompatible perspectives together as complementary aspects of a new, more subtle theory. The secret of mathematics is not to be found only in its logical structure. The creative dimensions of mathematical work have great implications for our notions of mathematical and scientific truth, and How Mathematicians Think provides a novel approach to many fundamental questions. Is mathematics objectively true? Is it discovered or invented? And is there such a thing as a "final" scientific theory? Ultimately, How Mathematicians Think shows that the nature of mathematical thinking can teach us a great deal about the human condition itself.

The Great Equations: Breakthroughs in Science from Pythagoras to Heisenberg

The Great Equations: Breakthroughs in Science from Pythagoras to Heisenberg PDF Author: Robert P. Crease
Publisher: W. W. Norton & Company
ISBN: 0393345769
Category : Science
Languages : en
Pages : 318

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Book Description
"Any reader who aspires to be scientifically literate will find this a good starting place." —Publishers Weekly While we may be familiar with some of science’s greatest equations, we may not know that each and every equation emerged not in "Eureka!" moments but in years of cultural developments and scientific knowledge. With vignettes full of humor, drama, and eccentricity, philosopher and science historian Robert P. Crease shares the stories behind ten of history’s greatest equations, from the "first equation," 1 + 1 = 2, which promises a rational, well-ordered world, to Heisenberg’s uncertainty principle, which reveals the limitations of human knowledge. For every equation, Crease provides a brief account of who discovered it, what dissatisfactions lay behind its discovery, and what the equation says about the nature of our world.

Good Math

Good Math PDF Author: Mark C. Chu-Carroll
Publisher: Pragmatic Bookshelf
ISBN: 168050360X
Category : Computers
Languages : en
Pages : 261

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Book Description
Mathematics is beautiful--and it can be fun and exciting as well as practical. Good Math is your guide to some of the most intriguing topics from two thousand years of mathematics: from Egyptian fractions to Turing machines; from the real meaning of numbers to proof trees, group symmetry, and mechanical computation. If you've ever wondered what lay beyond the proofs you struggled to complete in high school geometry, or what limits the capabilities of computer on your desk, this is the book for you. Why do Roman numerals persist? How do we know that some infinities are larger than others? And how can we know for certain a program will ever finish? In this fast-paced tour of modern and not-so-modern math, computer scientist Mark Chu-Carroll explores some of the greatest breakthroughs and disappointments of more than two thousand years of mathematical thought. There is joy and beauty in mathematics, and in more than two dozen essays drawn from his popular "Good Math" blog, you'll find concepts, proofs, and examples that are often surprising, counterintuitive, or just plain weird. Mark begins his journey with the basics of numbers, with an entertaining trip through the integers and the natural, rational, irrational, and transcendental numbers. The voyage continues with a look at some of the oddest numbers in mathematics, including zero, the golden ratio, imaginary numbers, Roman numerals, and Egyptian and continuing fractions. After a deep dive into modern logic, including an introduction to linear logic and the logic-savvy Prolog language, the trip concludes with a tour of modern set theory and the advances and paradoxes of modern mechanical computing. If your high school or college math courses left you grasping for the inner meaning behind the numbers, Mark's book will both entertain and enlighten you.

The Prime Number Conspiracy

The Prime Number Conspiracy PDF Author: Thomas Lin
Publisher: MIT Press
ISBN: 0262536358
Category : Mathematics
Languages : en
Pages : 331

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Book Description
The Pulitzer Prize–winning magazine’s stories of mathematical explorations show that inspiration strikes haphazardly, revealing surprising solutions and exciting discoveries—with a foreword by James Gleick These stories from Quanta Magazine map the routes of mathematical exploration, showing readers how cutting-edge research is done, while illuminating the productive tension between conjecture and proof, theory and intuition. The stories show that, as James Gleick puts it in the foreword, “inspiration strikes willy-nilly.” One researcher thinks of quantum chaotic systems at a bus stop; another suddenly realizes a path to proving a theorem of number theory while in a friend's backyard; a statistician has a “bathroom sink epiphany” and discovers the key to solving the Gaussian correlation inequality. Readers of The Prime Number Conspiracy, says Quanta editor-in-chief Thomas Lin, are headed on “breathtaking intellectual journeys to the bleeding edge of discovery strapped to the narrative rocket of humanity's never-ending pursuit of knowledge.” Winner of the 2022 Pulitzer Prize for Explanatory Reporting, Quanta is the only popular publication that offers in-depth coverage of the latest breakthroughs in understanding our mathematical universe. It communicates mathematics by taking it seriously, wrestling with difficult concepts and clearly explaining them in a way that speaks to our innate curiosity about our world and ourselves. Readers of this volume will learn that prime numbers have decided preferences about the final digits of the primes that immediately follow them (the “conspiracy” of the title); consider whether math is the universal language of nature (allowing for “a unified theory of randomness”); discover surprising solutions (including a pentagon tiling proof that solves a century-old math problem); ponder the limits of computation; measure infinity; and explore the eternal question “Is mathematics good for you?” Contributors Ariel Bleicher, Robbert Dijkgraaf, Kevin Hartnett, Erica Klarreich, Thomas Lin, John Pavlus, Siobhan Roberts, Natalie Wolchover Copublished with Quanta Magazine

50 Greatest Mathematicians of the World

50 Greatest Mathematicians of the World PDF Author: Rajesh Thakur
Publisher: Prabhat Prakashan
ISBN: 8184302150
Category : Biography & Autobiography
Languages : en
Pages : 199

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Book Description
Mathematics is considered the most dreaded subject. However it is extremely interesting and one should read about it. Had this subject not been interesting then some of the great physicist, doctors, lawyers, poets, story writers, etc., in their later life would not have turned to study it and made great discoveries in the field of mathematics. While mathematics itself may be a form idable subject for many, the lives and accomplishments of history’s greatest mathematicians are fascinating. This book is intended for people interested to know the heroic journey of those great mathematicians who have made important contribution to mathematics, through their ideaes, teaching or in other ways. The main emphasis is on their work and achievement in the field of mathematics. I hope this book will serve adual purpose: firstly help students realize mathematics is not to be dreaded but helpful in achieving in other subjects; secondly help those who hate the subject respect it. Embark on a journey through the fascinating world of mathematics and discover the lives and contributions of the 50 greatest mathematicians in history. Rajesh Thakur's illuminating book celebrates the brilliance and impact of these mathematical geniuses, offering a captivating blend of biography and mathematical insights. 50 Greatest Mathematicians of the World, Rajesh Thakur, mathematical genius, mathematicians, mathematical contributions, mathematical breakthroughs, mathematical theories, mathematical history, mathematical achievements, mathematical concepts, mathematical discoveries, mathematical geniuses, mathematical principles, mathematical innovations, mathematical pioneers, mathematical influence, mathematical legacy, mathematical revolution, mathematical brilliance

The Math Book

The Math Book PDF Author: Clifford A. Pickover
Publisher: Union Square + ORM
ISBN: 1402797494
Category : Mathematics
Languages : en
Pages : 937

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Book Description
The Neumann Prize–winning, illustrated exploration of mathematics—from its timeless mysteries to its history of mind-boggling discoveries. Beginning millions of years ago with ancient “ant odometers” and moving through time to our modern-day quest for new dimensions, The Math Book covers 250 milestones in mathematical history. Among the numerous delights readers will learn about as they dip into this inviting anthology: cicada-generated prime numbers, magic squares from centuries ago, the discovery of pi and calculus, and the butterfly effect. Each topic is lavishly illustrated with colorful art, along with formulas and concepts, fascinating facts about scientists’ lives, and real-world applications of the theorems.