Wonders of Numbers

Adventures in Mathematics, Mind, and Meaning

Author: Clifford A. Pickover

Publisher: Oxford University Press

ISBN: 9780195348002

Category: Mathematics

Page: 417

View: 693

Who were the five strangest mathematicians in history? What are the ten most interesting numbers? Jam-packed with thought-provoking mathematical mysteries, puzzles, and games, Wonders of Numbers will enchant even the most left-brained of readers. Hosted by the quirky Dr. Googol--who resides on a remote island and occasionally collaborates with Clifford Pickover--Wonders of Numbers focuses on creativity and the delight of discovery. Here is a potpourri of common and unusual number theory problems of varying difficulty--each presented in brief chapters that convey to readers the essence of the problem rather than its extraneous history. Peppered throughout with illustrations that clarify the problems, Wonders of Numbers also includes fascinating "math gossip." How would we use numbers to communicate with aliens? Check out Chapter 30. Did you know that there is a Numerical Obsessive-Compulsive Disorder? You'll find it in Chapter 45. From the beautiful formula of India's most famous mathematician to the Leviathan number so big it makes a trillion look small, Dr. Googol's witty and straightforward approach to numbers will entice students, educators, and scientists alike to pick up a pencil and work a problem.
Posted in Mathematics

The Zen of Magic Squares, Circles, and Stars

An Exhibition of Surprising Structures across Dimensions

Author: Clifford A. Pickover

Publisher: Princeton University Press

ISBN: 1400841518

Category: Mathematics

Page: 432

View: 9924

Humanity's love affair with mathematics and mysticism reached a critical juncture, legend has it, on the back of a turtle in ancient China. As Clifford Pickover briefly recounts in this enthralling book, the most comprehensive in decades on magic squares, Emperor Yu was supposedly strolling along the Yellow River one day around 2200 B.C. when he spotted the creature: its shell had a series of dots within squares. To Yu's amazement, each row of squares contained fifteen dots, as did the columns and diagonals. When he added any two cells opposite along a line through the center square, like 2 and 8, he always arrived at 10. The turtle, unwitting inspirer of the ''Yu'' square, went on to a life of courtly comfort and fame. Pickover explains why Chinese emperors, Babylonian astrologer-priests, prehistoric cave people in France, and ancient Mayans of the Yucatan were convinced that magic squares--arrays filled with numbers or letters in certain arrangements--held the secret of the universe. Since the dawn of civilization, he writes, humans have invoked such patterns to ward off evil and bring good fortune. Yet who would have guessed that in the twenty-first century, mathematicians would be studying magic squares so immense and in so many dimensions that the objects defy ordinary human contemplation and visualization? Readers are treated to a colorful history of magic squares and similar structures, their construction, and classification along with a remarkable variety of newly discovered objects ranging from ornate inlaid magic cubes to hypercubes. Illustrated examples occur throughout, with some patterns from the author's own experiments. The tesseracts, circles, spheres, and stars that he presents perfectly convey the age-old devotion of the math-minded to this Zenlike quest. Number lovers, puzzle aficionados, and math enthusiasts will treasure this rich and lively encyclopedia of one of the few areas of mathematics where the contributions of even nonspecialists count.
Posted in Mathematics

Thinking In Numbers

On Life, Love, Meaning, and Math

Author: Daniel Tammet

Publisher: Little, Brown

ISBN: 0316250805

Category: Mathematics

Page: 288

View: 5515

The irresistibly engaging book that "enlarges one's wonder at Tammet's mind and his all-embracing vision of the world as grounded in numbers." --Oliver Sacks, MD THINKING IN NUMBERS is the book that Daniel Tammet, mathematical savant and bestselling author, was born to write. In Tammet's world, numbers are beautiful and mathematics illuminates our lives and minds. Using anecdotes, everyday examples, and ruminations on history, literature, and more, Tammet allows us to share his unique insights and delight in the way numbers, fractions, and equations underpin all our lives. Inspired variously by the complexity of snowflakes, Anne Boleyn's eleven fingers, and his many siblings, Tammet explores questions such as why time seems to speed up as we age, whether there is such a thing as an average person, and how we can make sense of those we love. His provocative and inspiring new book will change the way you think about math and fire your imagination to view the world with fresh eyes.
Posted in Mathematics

Growing Up With Tanzania

Memories, Musings and Maths

Author: Hirji, Karim F.

Publisher: Mkuki na Nyota Publishers

ISBN: 9987082238

Category: Biography & Autobiography

Page: 302

View: 9993

In Growing up with Tanzania. Karim Hirji, a renowned Professor of Medical Statistics and Fellow of the Tanzania Academy of Science, presents a multi-faceted, evocative portrait of his joyous but conflicted passage to adulthood during colonial and early-Uhuru Tanzania. His smooth style engages the reader with absorbing true tales, cultural currents, critical commentary and progressive possibilities. By vibrantly contrasting the hope-filled sixties with the cynical modern era, he also lays bare the paradoxes of personal life and society, past and present
Posted in Biography & Autobiography

Our Mathematical Universe

My Quest for the Ultimate Nature of Reality

Author: Max Tegmark

Publisher: Vintage

ISBN: 038535049X

Category: Science

Page: 432

View: 8025

Max Tegmark leads us on an astonishing journey through past, present and future, and through the physics, astronomy and mathematics that are the foundation of his work, most particularly his hypothesis that our physical reality is a mathematical structure and his theory of the ultimate multiverse. In a dazzling combination of both popular and groundbreaking science, he not only helps us grasp his often mind-boggling theories, but he also shares with us some of the often surprising triumphs and disappointments that have shaped his life as a scientist. Fascinating from first to last—this is a book that has already prompted the attention and admiration of some of the most prominent scientists and mathematicians.
Posted in Science

Various Arithmetic Functions and their Applications

Author: Octavian Cira ,Florentin Smarandache

Publisher: Infinite Study

ISBN: 1599733722

Category:

Page: N.A

View: 3161

Over 300 sequences and many unsolved problems and conjectures related to them are presented herein. These notions, definitions, unsolved problems, questions, theorems corollaries, formulae, conjectures, examples, mathematical criteria, etc. on integer sequences, numbers, quotients, residues, exponents, sieves, pseudo-primes squares cubes factorials, almost primes, mobile periodicals, functions, tables, prime square factorial bases, generalized factorials, generalized palindromes, so on, have been extracted from the Archives of American Mathematics (University of Texas at Austin) and Arizona State University (Tempe): "The Florentin Smarandache papers" special collections, and Arhivele Statului (Filiala Vâlcea & Filiala Dolj, Romania). This book was born from the collaboration of the two authors, which started in 2013. The first common work was the volume "Solving Diophantine Equations", published in 2014. The contribution of the authors can be summarized as follows: Florentin Smarandache came with his extraordinary ability to propose new areas of study in number theory, and Octavian Cira - with his algorithmic thinking and knowledge of Mathcad.
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Alex's Adventures in Numberland

Author: Alex Bellos

Publisher: A&C Black

ISBN: 1408809591

Category: Mathematics

Page: 448

View: 740

A hugely enjoyable, brilliantly researched explanation of the basic principles of maths.
Posted in Mathematics

Birth of a Theorem

A Mathematical Adventure

Author: Cédric Villani

Publisher: Farrar, Straus and Giroux

ISBN: 0374710236

Category: Biography & Autobiography

Page: 272

View: 3075

In 2010, French mathematician Cédric Villani received the Fields Medal, the most coveted prize in mathematics, in recognition of a proof which he devised with his close collaborator Clément Mouhot to explain one of the most surprising theories in classical physics. Birth of a Theorem is Villani's own account of the years leading up to the award. It invites readers inside the mind of a great mathematician as he wrestles with the most important work of his career. But you don't have to understand nonlinear Landau damping to love Birth of a Theorem. It doesn't simplify or overexplain; rather, it invites readers into collaboration. Villani's diaries, emails, and musings enmesh you in the process of discovery. You join him in unproductive lulls and late-night breakthroughs. You're privy to the dining-hall conversations at the world's greatest research institutions. Villani shares his favorite songs, his love of manga, and the imaginative stories he tells his children. In mathematics, as in any creative work, it is the thinker's whole life that propels discovery—and with Birth of a Theorem, Cédric Villani welcomes you into his.
Posted in Biography & Autobiography

Street-Fighting Mathematics

The Art of Educated Guessing and Opportunistic Problem Solving

Author: Sanjoy Mahajan,Carver A. Mead

Publisher: MIT Press

ISBN: 0262265591

Category: Mathematics

Page: 152

View: 8728

In problem solving, as in street fighting, rules are for fools: do whatever works -- don't just stand there! Yet we often fear an unjustified leap even though it may land us on a correct result. Traditional mathematics teaching is largely about solving exactly stated problems exactly, yet life often hands us partly defined problems needing only moderately accurate solutions. This engaging book is an antidote to the rigor mortis brought on by too much mathematical rigor, teaching us how to guess answers without needing a proof or an exact calculation.In Street-Fighting Mathematics, Sanjoy Mahajan builds, sharpens, and demonstrates tools for educated guessing and down-and-dirty, opportunistic problem solving across diverse fields of knowledge -- from mathematics to management. Mahajan describes six tools: dimensional analysis, easy cases, lumping, picture proofs, successive approximation, and reasoning by analogy. Illustrating each tool with numerous examples, he carefully separates the tool -- the general principle -- from the particular application so that the reader can most easily grasp the tool itself to use on problems of particular interest. Street-Fighting Mathematics grew out of a short course taught by the author at MIT for students ranging from first-year undergraduates to graduate students ready for careers in physics, mathematics, management, electrical engineering, computer science, and biology. They benefited from an approach that avoided rigor and taught them how to use mathematics to solve real problems.Street-Fighting Mathematics will appear in print and online under a Creative Commons Noncommercial Share Alike license.
Posted in Mathematics

The Grapes of Math

How Life Reflects Numbers and Numbers Reflect Life

Author: Alex Bellos

Publisher: Simon and Schuster

ISBN: 1451640129

Category: Mathematics

Page: 352

View: 5273

From triangles, rotations and power laws, to cones, curves and the dreaded calculus, Alex takes you on a journey of mathematical discovery with his signature wit and limitless enthusiasm. He sifts through over 30,000 survey submissions to uncover the world’s favourite number, and meets a mathematician who looks for universes in his garage. He attends the World Mathematical Congress in India, and visits the engineer who designed the first roller-coaster loop. Get hooked on math as Alex delves deep into humankind’s turbulent relationship with numbers, and reveals how they have shaped the world we live in.
Posted in Mathematics

The Loom of God

Mathematical Tapestries at the Edge of Time

Author: Clifford A. Pickover

Publisher: Basic Books (AZ)

ISBN: 9780306454110

Category: Mathematics

Page: 292

View: 3545

An exploration of the links between numbers, religion, and mysticism discusses computers, the geometry of Stonehenge, the end of the world, and mathematical proofs for the existence of God
Posted in Mathematics

Mathematics for the Nonmathematician

Author: Morris Kline

Publisher: Courier Corporation

ISBN: 0486316130

Category: Mathematics

Page: 672

View: 1631

Erudite and entertaining overview follows development of mathematics from ancient Greeks to present. Topics include logic and mathematics, the fundamental concept, differential calculus, probability theory, much more. Exercises and problems.
Posted in Mathematics

The Mathematics of Oz

Mental Gymnastics from Beyond the Edge

Author: Clifford A. Pickover

Publisher: Cambridge University Press

ISBN: 9780521016780

Category: Games

Page: 351

View: 2026

Filled with an abundance of complex mysteries, sequences, series, puzzles, mazes, and problems, a perplexing journey through the realm of math, mind, and meaning with the author, Dorothy, and Dr. Oz introduces readers to numbers and their role in creativity, computers, games, and practical research. (Science & Mathematics)
Posted in Games

Chances Are . . .

Adventures in Probability

Author: Michael Kaplan,Ellen Kaplan

Publisher: Penguin

ISBN: 9781440684517

Category: Mathematics

Page: 336

View: 1440

A compelling journey through history, mathematics, and philosophy, charting humanity’s struggle against randomness Our lives are played out in the arena of chance. However little we recognize it in our day-to-day existence, we are always riding the odds, seeking out certainty but settling—reluctantly—for likelihood, building our beliefs on the shadowy props of probability. Chances Are is the story of man’s millennia-long search for the tools to manage the recurrent but unpredictable—to help us prevent, or at least mitigate, the seemingly random blows of disaster, disease, and injustice. In these pages, we meet the brilliant individuals who developed the first abstract formulations of probability, as well as the intrepid visionaries who recognized their practical applications—from gamblers to military strategists to meteorologists to medical researchers, from blackjack to our own mortality.
Posted in Mathematics

The Wonder of Birds

What They Tell Us about Ourselves, the World, and a Better Future

Author: Jim Robbins

Publisher: N.A

ISBN: 0812993535

Category: NATURE

Page: 331

View: 2804

Our relationship to birds is different from our relationship to any other wild creatures. They are found virtually everywhere and we love to watch them, listen to them, keep them as pets, wear their feathers, even converse with them. Birds, Jim Robbins posits, are our most vital connection to nature. They compel us to look to the skies, both literally and metaphorically; draw us out into nature to seek their beauty; and let us experience vicariously what it is like to be weightless. Birds have helped us in so many of our human endeavors: learning to fly, providing clothing and food, and helping us better understand the human brain and body. And they even have much to teach us about being human in the natural world. This book illuminates qualities unique to birds that demonstrate just how invaluable they are to humankind--both ecologically and spiritually. The wings of turkey buzzards influenced the Wright brothers' flight design; the chickadee's song is considered by scientists to be the most sophisticated language in the animal world and a "window into the evolution of our own language and our society"; and the quietly powerful presence of eagles in the disadvantaged neighborhood of Anacostia, in Washington, D.C., proved to be an effective method for rehabilitating the troubled young people placed in charge of their care.
Posted in NATURE

Heaven Without Her

A Desperate Daughter's Search for the Heart of Her Mother's Faith

Author: Kitty Foth-Regner

Publisher: Thomas Nelson Inc

ISBN: 078522744X

Category: Biography & Autobiography

Page: 272

View: 9737

This fascinating personal account chronicles a libertarian, feminist, agnostic's discovery of a dynamic faith where all the evidence points to Christianity.
Posted in Biography & Autobiography

Just Six Numbers

The Deep Forces That Shape The Universe

Author: Martin Rees

Publisher: Basic Books

ISBN: 0786723580

Category: Science

Page: 208

View: 8572

DivThe genesis of the universe elegantly explained in a simple theory based on just six numbers by one of the world's most renowned astrophysicists/div
Posted in Science

The Sound Book: The Science of the Sonic Wonders of the World

Author: Trevor Cox

Publisher: W. W. Norton & Company

ISBN: 039324282X

Category: Science

Page: 304

View: 4305

“A lucid and passionate case for a more mindful way of listening. . . . Anyone who has ever clapped, hollered or yodeled at an echo will delight in [Cox’s] zestful curiosity.”—New York Times Trevor Cox is on a hunt for the sonic wonders of the world. A renowned expert who engineers classrooms and concert halls, Cox has made a career of eradicating bizarre and unwanted sounds. But after an epiphany in the London sewers, Cox now revels in exotic noises—creaking glaciers, whispering galleries, stalactite organs, musical roads, humming dunes, seals that sound like alien angels, and a Mayan pyramid that chirps like a bird. With forays into archaeology, neuroscience, biology, and design, Cox explains how sound is made and altered by the environment, how our body reacts to peculiar noises, and how these mysterious wonders illuminate sound’s surprising dynamics in everyday settings—from your bedroom to the opera house. The Sound Book encourages us to become better listeners in a world dominated by the visual and to open our ears to the glorious cacophony all around us.
Posted in Science

Mind of the Raven

Investigations and Adventures with Wolf-Birds

Author: Bernd Heinrich

Publisher: Harper Collins

ISBN: 0061863939

Category: Nature

Page: 432

View: 1066

Heinrich involves us in his quest to get inside the mind of the raven. But as animals can only be spied on by getting quite close, Heinrich adopts ravens, thereby becoming a "raven father," as well as observing them in their natural habitat. He studies their daily routines, and in the process, paints a vivid picture of the ravens' world. At the heart of this book are Heinrich's love and respect for these complex and engaging creatures, and through his keen observation and analysis, we become their intimates too. Heinrich's passion for ravens has led him around the world in his research. Mind of the Raven follows an exotic journey—from New England to Germany, and from Montana to Baffin Island in the high Arctic—offering dazzling accounts of how science works in the field, filtered through the eyes of a passionate observer of nature. Each new discovery and insight into raven behavior is thrilling to read, at once lyrical and scientific.
Posted in Nature

Reason and Wonder

A Copernican Revolution in Science and Spirit

Author: Charles David Pruett

Publisher: ABC-CLIO

ISBN: 0313399190

Category: Religion

Page: 399

View: 2622

In this enlightening and provocative exploration, Dave Pruett sets out a revolutionary new understanding of our place in the universe, one that reconciles the rational demands of science with the deeper tugs of spirituality.
Posted in Religion