The Penguin Book Of Curious And Interesting Mathematics

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The Penguin Dictionary of Curious and Interesting Numbers

David Wells
The Penguin Dictionary of Curious and Interesting Numbers Book PDF

Author : David Wells
Publisher : Penguin UK
Page : 235 pages
File Size : 49,5 Mb
Release : 1997-09-04
Category : Mathematics
ISBN : 9780141929408

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The Penguin Dictionary of Curious and Interesting Numbers by David Wells Pdf

Why was the number of Hardy's taxi significant? Why does Graham's number need its own notation? How many grains of sand would fill the universe? What is the connection between the Golden Ratio and sunflowers? Why is 999 more than a distress call? All these questions and a host more are answered in this fascinating book, which has now been newly revised, with nearly 200 extra entries and some 250 additions to the original entries. From minus one and its square root, via cyclic, weird, amicable, perfect, untouchable and lucky numbers, aliquot sequences, the Cattle problem, Pascal's triangle and the Syracuse algorithm, music, magic and maps, pancakes, polyhedra and palindromes, to numbers so large that they boggle the imagination, all you ever wanted to know about numbers is here. There is even a comprehensive index for those annoying occasions when you remember the name but can't recall the number.

The Penguin Book of Curious and Interesting Mathematics

David G. Wells
The Penguin Book of Curious and Interesting Mathematics Book PDF

Author : David G. Wells
Publisher : Penguin Group
Page : 340 pages
File Size : 42,8 Mb
Release : 1997
Category : Mathematics
ISBN : UVA:X004264747

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The Penguin Book of Curious and Interesting Mathematics by David G. Wells Pdf

Collection of miscellaneous facts and anecdotes from mathematicians.

The Penguin Dictionary of Curious and Interesting Geometry

David G. Wells
The Penguin Dictionary of Curious and Interesting Geometry Book PDF

Author : David G. Wells
Publisher : Penguin Mass Market
Page : 310 pages
File Size : 40,8 Mb
Release : 1991
Category : Mathematics
ISBN : UOM:39015028400540

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The Penguin Dictionary of Curious and Interesting Geometry by David G. Wells Pdf

"A companion volume to the author's "Dictionary of Curious and Interesting Numbers", which focuses on arithmetic and number theory. The entries in this book cover curves, topology, tilings and all branches of plane and three-dimensional geometry, from Euclid to fractals."

Book of Curious and Interesting Puzzles

David Wells
Book of Curious and Interesting Puzzles Book PDF

Author : David Wells
Publisher : Dover Publications
Page : 0 pages
File Size : 47,6 Mb
Release : 2006
Category : Mathematical recreations
ISBN : 0486443418

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Book of Curious and Interesting Puzzles by David Wells Pdf

"Of immense interest to those who enjoy recreational maths and puzzles . . . even the most hardened puzzler will find something new." -- Mathematical Gazette Puzzles are as old as history itself, following an arc like that of technology: centuries of slow progress, followed by rapid expansion in the 1800s, and an explosion of activity in the twentieth century. This collection by bestselling author David Wells, a Cambridge math scholar and teacher, follows that pattern. Its first part is devoted to puzzles from ancient Egypt and Babylon and subsequent sources, featuring those devised by Lewis Carroll, Eduard Lucas, Sam Loyd, and other master puzzlers of the Victorian era. The second part demonstrates the tremendous variety of twentieth-century puzzles. More than 560 puzzles are included, from the "mind sharpeners" of a medieval monk to the eighteenth-century Ladies' Diary, the Hindu Bhakshali manuscript, and riddles and popular rhymes. None requires any mathematics beyond the most elementary algebra and geometry -- and few require even that. Complete answers appear at the end.

Prime Numbers

David Wells
Prime Numbers Book PDF

Author : David Wells
Publisher : Turner Publishing Company
Page : 260 pages
File Size : 41,8 Mb
Release : 2011-01-13
Category : Mathematics
ISBN : 9781118045718

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Prime Numbers by David Wells Pdf

A fascinating journey into the mind-bending world of prime numbers Cicadas of the genus Magicicada appear once every 7, 13, or 17 years. Is it just a coincidence that these are all prime numbers? How do twin primes differ from cousin primes, and what on earth (or in the mind of a mathematician) could be sexy about prime numbers? What did Albert Wilansky find so fascinating about his brother-in-law's phone number? Mathematicians have been asking questions about prime numbers for more than twenty-five centuries, and every answer seems to generate a new rash of questions. In Prime Numbers: The Most Mysterious Figures in Math, you'll meet the world's most gifted mathematicians, from Pythagoras and Euclid to Fermat, Gauss, and Erd?o?s, and you'll discover a host of unique insights and inventive conjectures that have both enlarged our understanding and deepened the mystique of prime numbers. This comprehensive, A-to-Z guide covers everything you ever wanted to know--and much more that you never suspected--about prime numbers, including: * The unproven Riemann hypothesis and the power of the zeta function * The "Primes is in P" algorithm * The sieve of Eratosthenes of Cyrene * Fermat and Fibonacci numbers * The Great Internet Mersenne Prime Search * And much, much more

Journey Through Genius

William Dunham
Journey Through Genius Book PDF

Author : William Dunham
Publisher : Penguin Books
Page : 324 pages
File Size : 41,5 Mb
Release : 1991-08
Category : Biography & Autobiography
ISBN : PSU:000023719095

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Journey Through Genius by William Dunham Pdf

Like masterpieces of art, music, and literature, great mathematical theorems are creative milestones, works of genius destined to last forever. Now William Dunham gives them the attention they deserve. Dunham places each theorem within its historical context and explores the very human and often turbulent life of the creator — from Archimedes, the absentminded theoretician whose absorption in his work often precluded eating or bathing, to Gerolamo Cardano, the sixteenth-century mathematician whose accomplishments flourished despite a bizarre array of misadventures, to the paranoid genius of modern times, Georg Cantor. He also provides step-by-step proofs for the theorems, each easily accessible to readers with no more than a knowledge of high school mathematics. A rare combination of the historical, biographical, and mathematical, Journey Through Genius is a fascinating introduction to a neglected field of human creativity. “It is mathematics presented as a series of works of art; a fascinating lingering over individual examples of ingenuity and insight. It is mathematics by lightning flash.” —Isaac Asimov

The Math of Life and Death

Kit Yates
The Math of Life and Death Book PDF

Author : Kit Yates
Publisher : Simon and Schuster
Page : 288 pages
File Size : 40,8 Mb
Release : 2021-04-27
Category : MATHEMATICS
ISBN : 9781982111885

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The Math of Life and Death by Kit Yates Pdf

"Few of us really appreciate the full power of math--the extent to which its influence is not only in every office and every home, but also in every courtroom and hospital ward. In this ... book, Kit Yates explores the true stories of life-changing events in which the application--or misapplication--of mathematics has played a critical role: patients crippled by faulty genes and entrepreneurs bankrupted by faulty algorithms; innocent victims of miscarriages of justice; and the unwitting victims of software glitches"--Publisher marketing.

You Are a Mathematician

David Wells
You Are a Mathematician Book PDF

Author : David Wells
Publisher : Unknown
Page : 440 pages
File Size : 42,5 Mb
Release : 1997-02-18
Category : Mathematics
ISBN : UOM:39076001890461

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You Are a Mathematician by David Wells Pdf

Explores the patterns, properties, and problems associated with numbers, looking at topics from basic arithmetic to algebraic equations, and includes over 100 brainteasers and their solutions.

What's Math Got to Do with It?

Jo Boaler
What s Math Got to Do with It Book PDF

Author : Jo Boaler
Publisher : Penguin
Page : 274 pages
File Size : 51,7 Mb
Release : 2015-04-28
Category : Education
ISBN : 9781101992050

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What's Math Got to Do with It? by Jo Boaler Pdf

“Highly accessible and enjoyable for readers who love and loathe math.” —Booklist A critical read for teachers and parents who want to improve children’s mathematics learning, What’s Math Got to Do with It? is “an inspiring resource” (Publishers Weekly). Featuring all the important advice and suggestions in the original edition of What’s Math Got to Do with It?, this revised edition is now updated with new research on the brain and mathematics that is revolutionizing scientists’ understanding of learning and potential. As always Jo Boaler presents research findings through practical ideas that can be used in classrooms and homes. The new What’s Math Got to Do with It? prepares teachers and parents for the Common Core, shares Boaler’s work on ways to teach mathematics for a “growth mindset,” and includes a range of advice to inspire teachers and parents to give their students the best mathematical experience possible.

Beautiful Symmetry

Alex Berke
Beautiful Symmetry Book PDF

Author : Alex Berke
Publisher : MIT Press
Page : 165 pages
File Size : 52,5 Mb
Release : 2020-02-18
Category : Mathematics
ISBN : 9780262538923

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Beautiful Symmetry by Alex Berke Pdf

A coloring book that invites readers to explore symmetry and the beauty of math visually. Beautiful Symmetry is a coloring book about math, inviting us to engage with mathematical concepts visually through coloring challenges and visual puzzles. We can explore symmetry and the beauty of mathematics playfully, coloring through ideas usually reserved for advanced courses. The book is for children and adults, for math nerds and math avoiders, for educators, students, and coloring enthusiasts. Through illustration, language that is visual, and words that are jargon-free, the book introduces group theory as the mathematical foundation for discussions of symmetry, covering symmetry groups that include the cyclic groups, frieze groups, and wallpaper groups. The illustrations are drawn by algorithms, following the symmetry rules for each given group. The coloring challenges can be completed and fully realized only on the page; solutions are provided. Online, in a complementary digital edition, the illustrations come to life with animated interactions that show the symmetries that generated them. Traditional math curricula focus on arithmetic and the manipulation of numbers, and may make some learners feel that math is not for them. By offering a more visual and tactile approach, this book shows how math can be for everyone. Combining the playful and the pedagogical, Beautiful Symmetry offers both relaxing entertainment for recreational colorers and a resource for math-curious readers, students, and educators.

Molly and the Mathematical Mysteries

Eugenia Cheng
Molly and the Mathematical Mysteries Book PDF

Author : Eugenia Cheng
Publisher : Big Picture Press
Page : 63 pages
File Size : 49,7 Mb
Release : 2021-03-30
Category : Juvenile Nonfiction
ISBN : 9781536217100

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Molly and the Mathematical Mysteries by Eugenia Cheng Pdf

Find the clues and lift the flaps on this mathematical mystery! Join Molly as she ventures into a curious world where nothing is quite as it seems. A trail of clues leads from scene to scene, presenting Molly with a number of challenges. But who is leaving the clues, and where will they lead? This interactive mystery shows math isn't just about numbers—it’s about imagination! An explorative and creative approach to the world of mathematics.

The Art of the Infinite

Robert Kaplan,Ellen Kaplan
The Art of the Infinite Book PDF

Author : Robert Kaplan,Ellen Kaplan
Publisher : Bloomsbury Publishing USA
Page : 417 pages
File Size : 45,9 Mb
Release : 2014-07-01
Category : Mathematics
ISBN : 9781608198887

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The Art of the Infinite by Robert Kaplan,Ellen Kaplan Pdf

A witty, conversational, and accessible tour of math's profoundest mysteries. Mathematical symbols, for mathematicians, store worlds of meaning, leap continents and centuries. But we need not master symbols to grasp the magnificent abstractions they represent, and to which all art aspires. Through language, anyone can come to delight in the works of mathematical art, which are among our kind's greatest glories. Taking the concept of infinity, in its countless guises, as a starting point and a helpful touchstone, the founders of Harvard's pioneering Math Circle program Robert and Ellen Kaplan guide us through the “Republic of Numbers,” where we meet both its upstanding citizens and its more shadowy dwellers, explore realms where only the imagination can go, and grapple with math's most profound uncertainties, including the question of truth itself-do we discover mathematical principles, or invent them?

Tacky the Penguin

Helen Lester
Tacky the Penguin Book PDF

Author : Helen Lester
Publisher : Houghton Mifflin Harcourt
Page : 36 pages
File Size : 40,9 Mb
Release : 2010-12-06
Category : Juvenile Fiction
ISBN : 9780547347424

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Tacky the Penguin by Helen Lester Pdf

An offbeat penguin shows his peers the power of individuality in this humorous tale from the author of Pookins Gets Her Way. Tacky is an odd bird. He likes to do splashy cannonballs and greet his companions with a loud "What's happening?" In fact, he's something of an eccentric, which wouldn't be a problem if all the other penguins weren't such…conformists. When intimidating visitors invade their peaceful, nice, icy land, it'll take a lot more than a bunch of perfect penguins to save the day. Thank goodness Tacky's such an odd bird! “This book is must reading for any kid—or grown-up—who refuses to follow the pack.”—Publishers Weekly

Leonardo Pisano (Fibonacci)

L. E. Sigler
Leonardo Pisano Fibonacci Book PDF

Author : L. E. Sigler
Publisher : Elsevier
Page : 147 pages
File Size : 42,5 Mb
Release : 2014-06-28
Category : Mathematics
ISBN : 9780080886503

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Leonardo Pisano (Fibonacci) by L. E. Sigler Pdf

The Book of Squares by Fibonacci is a gem in the mathematical literature and one of the most important mathematical treatises written in the Middle Ages. It is a collection of theorems on indeterminate analysis and equations of second degree which yield, among other results, a solution to a problem proposed by Master John of Palermo to Leonardo at the Court of Frederick II. The book was dedicated and presented to the Emperor at Pisa in 1225. Dating back to the 13th century the book exhibits the early and continued fascination of men with our number system and the relationship among numbers with special properties such as prime numbers, squares, and odd numbers. The faithful translation into modern English and the commentary by the translator make this book accessible to professional mathematicians and amateurs who have always been intrigued by the lure of our number system.

The Mathematical Experience, Study Edition

Philip Davis,Reuben Hersh,Elena Anne Marchisotto
The Mathematical Experience Study Edition Book PDF

Author : Philip Davis,Reuben Hersh,Elena Anne Marchisotto
Publisher : Springer Science & Business Media
Page : 522 pages
File Size : 47,8 Mb
Release : 2011-10-27
Category : Mathematics
ISBN : 9780817682941

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The Mathematical Experience, Study Edition by Philip Davis,Reuben Hersh,Elena Anne Marchisotto Pdf

Winner of the 1983 National Book Award! "...a perfectly marvelous book about the Queen of Sciences, from which one will get a real feeling for what mathematicians do and who they are. The exposition is clear and full of wit and humor..." - The New Yorker (1983 National Book Award edition) Mathematics has been a human activity for thousands of years. Yet only a few people from the vast population of users are professional mathematicians, who create, teach, foster, and apply it in a variety of situations. The authors of this book believe that it should be possible for these professional mathematicians to explain to non-professionals what they do, what they say they are doing, and why the world should support them at it. They also believe that mathematics should be taught to non-mathematics majors in such a way as to instill an appreciation of the power and beauty of mathematics. Many people from around the world have told the authors that they have done precisely that with the first edition and they have encouraged publication of this revised edition complete with exercises for helping students to demonstrate their understanding. This edition of the book should find a new generation of general readers and students who would like to know what mathematics is all about. It will prove invaluable as a course text for a general mathematics appreciation course, one in which the student can combine an appreciation for the esthetics with some satisfying and revealing applications. The text is ideal for 1) a GE course for Liberal Arts students 2) a Capstone course for perspective teachers 3) a writing course for mathematics teachers. A wealth of customizable online course materials for the book can be obtained from Elena Anne Marchisotto ([email protected]) upon request.