Good Math

Good Math
Author: Mark C. Chu-Carroll
Publisher: Pragmatic Bookshelf
Total Pages: 261
Release: 2013-07-18
Genre: Computers
ISBN: 168050360X

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.

Goodnight, Numbers

Goodnight, Numbers
Author: Danica McKellar
Publisher: Dragonfly Books
Total Pages: 33
Release: 2022-10-25
Genre: Juvenile Fiction
ISBN: 0593643550

NEW YORK TIMES BESTSELLER • Count your way to sweet dreams with help from The Wonder Years/Great American Family star, math whiz, and author Danica McKellar! This New York Times bestselling bedtime book with a math twist is perfect both for getting ready for bed and learning at home. This deceptively simple bedtime book sneaks in secret counting concepts to help make your 2-5 year old smarter . . . and by the end, sleepier! The first in the McKellar Math line, Goodnight, Numbers gives your child the building blocks for math success. As children say goodnight to the objects all around them—three wheels on a tricycle, four legs on a cat—they will connect with the real numbers in their world while creating cuddly memories, night after night. Loving numbers is as easy as 1, 2, 3! "A winner for bedtimes or storytimes focusing on counting." —School Library Journal "The joys of counting combine with pretty art and homage to Goodnight Moon." —Kirkus

A Mind for Numbers

A Mind for Numbers
Author: Barbara A. Oakley
Publisher: TarcherPerigee
Total Pages: 338
Release: 2014-07-31
Genre: Mathematics
ISBN: 039916524X

Engineering professor Barbara Oakley knows firsthand how it feels to struggle with math. In her book, she offers you the tools needed to get a better grasp of that intimidating but inescapable field.

Really Big Numbers

Really Big Numbers
Author: Richard Evan Schwartz
Publisher: American Mathematical Soc.
Total Pages: 194
Release: 2014-06-30
Genre: Juvenile Nonfiction
ISBN: 1470414252

In the American Mathematical Society's first-ever book for kids (and kids at heart), mathematician and author Richard Evan Schwartz leads math lovers of all ages on an innovative and strikingly illustrated journey through the infinite number system. By means of engaging, imaginative visuals and endearing narration, Schwartz manages the monumental task of presenting the complex concept of Big Numbers in fresh and relatable ways. The book begins with small, easily observable numbers before building up to truly gigantic ones, like a nonillion, a tredecillion, a googol, and even ones too huge for names! Any person, regardless of age, can benefit from reading this book. Readers will find themselves returning to its pages for a very long time, perpetually learning from and growing with the narrative as their knowledge deepens. Really Big Numbers is a wonderful enrichment for any math education program and is enthusiastically recommended to every teacher, parent and grandparent, student, child, or other individual interested in exploring the vast universe of numbers.

Cutting for Stone

Cutting for Stone
Author: Abraham Verghese
Publisher: Random House India
Total Pages: 560
Release: 2012-05-17
Genre: Fiction
ISBN: 8184001754

Marion and Shiva Stone are twin brothers born of a secret union between a beautiful Indian nun and a brash British surgeon. Orphaned by their mother’s death and their father’s disappearance and bound together by a preternatural connection and a shared fascination with medicine, the twins come of age as Ethiopia hovers on the brink of revolution. Moving from Addis Ababa to New York City and back again, Cutting for Stone is an unforgettable story of love and betrayal, medicine and ordinary miracles—and two brothers whose fates are forever intertwined.

Math Without Numbers

Math Without Numbers
Author: Milo Beckman
Publisher: Penguin UK
Total Pages: 224
Release: 2021-01-07
Genre: Mathematics
ISBN: 0241507588

'The whizz-kid making maths supercool. . . A brilliant book that takes everything we know (and fear) about maths out of the equation - starting with numbers' The Times 'A cheerful, chatty, and charming trip through the world of mathematics. . . Everyone should read this delightful book' Ian Stewart, author of Do Dice Play God? The only numbers in this book are the page numbers. The three main branches of abstract math - topology, analysis, and algebra - turn out to be surprisingly easy to grasp. Or at least, they are when our guide is a math prodigy. With forthright wit and warm charm, Milo Beckman upends the conventional approach to mathematics, inviting us to think creatively about shape and dimension, the infinite and the infinitesimal, symmetries, proofs, and all how all these concepts fit together. Why is there a million dollar prize for counting shapes? Is anything bigger than infinity? And how is the 'truth' of mathematics actually decided? A vivid and wholly original guide to the math that makes the world tick and the planets revolve, Math Without Numbers makes human and understandable the elevated and hypothetical, allowing us to clearly see abstract math for what it is: bizarre, beautiful, and head-scratchingly wonderful.

Dr. Euler's Fabulous Formula

Dr. Euler's Fabulous Formula
Author: Paul J. Nahin
Publisher: Princeton University Press
Total Pages: 416
Release: 2017-04-04
Genre: Mathematics
ISBN: 0691175918

In the mid-eighteenth century, Swiss-born mathematician Leonhard Euler developed a formula so innovative and complex that it continues to inspire research, discussion, and even the occasional limerick. Dr. Euler's Fabulous Formula shares the fascinating story of this groundbreaking formula—long regarded as the gold standard for mathematical beauty—and shows why it still lies at the heart of complex number theory. In some ways a sequel to Nahin's An Imaginary Tale, this book examines the many applications of complex numbers alongside intriguing stories from the history of mathematics. Dr. Euler's Fabulous Formula is accessible to any reader familiar with calculus and differential equations, and promises to inspire mathematicians for years to come.

Mathematics for Human Flourishing

Mathematics for Human Flourishing
Author: Francis Su
Publisher: Yale University Press
Total Pages: 287
Release: 2020-01-07
Genre: Mathematics
ISBN: 0300237138

"The ancient Greeks argued that the best life was filled with beauty, truth, justice, play and love. The mathematician Francis Su knows just where to find them."--Kevin Hartnett, Quanta Magazine" This is perhaps the most important mathematics book of our time. Francis Su shows mathematics is an experience of the mind and, most important, of the heart."--James Tanton, Global Math Project For mathematician Francis Su, a society without mathematical affection is like a city without concerts, parks, or museums. To miss out on mathematics is to live without experiencing some of humanity's most beautiful ideas. In this profound book, written for a wide audience but especially for those disenchanted by their past experiences, an award-winning mathematician and educator weaves parables, puzzles, and personal reflections to show how mathematics meets basic human desires--such as for play, beauty, freedom, justice, and love--and cultivates virtues essential for human flourishing. These desires and virtues, and the stories told here, reveal how mathematics is intimately tied to being human. Some lessons emerge from those who have struggled, including philosopher Simone Weil, whose own mathematical contributions were overshadowed by her brother's, and Christopher Jackson, who discovered mathematics as an inmate in a federal prison. Christopher's letters to the author appear throughout the book and show how this intellectual pursuit can--and must--be open to all.

Things to Make and Do in the Fourth Dimension

Things to Make and Do in the Fourth Dimension
Author: Matt Parker
Publisher: Farrar, Straus and Giroux
Total Pages: 465
Release: 2014-12-02
Genre: Games & Activities
ISBN: 0374710376

A book from the stand-up mathematician that makes math fun again! Math is boring, says the mathematician and comedian Matt Parker. Part of the problem may be the way the subject is taught, but it's also true that we all, to a greater or lesser extent, find math difficult and counterintuitive. This counterintuitiveness is actually part of the point, argues Parker: the extraordinary thing about math is that it allows us to access logic and ideas beyond what our brains can instinctively do—through its logical tools we are able to reach beyond our innate abilities and grasp more and more abstract concepts. In the absorbing and exhilarating Things to Make and Do in the Fourth Dimension, Parker sets out to convince his readers to revisit the very math that put them off the subject as fourteen-year-olds. Starting with the foundations of math familiar from school (numbers, geometry, and algebra), he reveals how it is possible to climb all the way up to the topology and to four-dimensional shapes, and from there to infinity—and slightly beyond. Both playful and sophisticated, Things to Make and Do in the Fourth Dimension is filled with captivating games and puzzles, a buffet of optional hands-on activities that entices us to take pleasure in math that is normally only available to those studying at a university level. Things to Make and Do in the Fourth Dimension invites us to re-learn much of what we missed in school and, this time, to be utterly enthralled by it.

Supermath

Supermath
Author: Anna Weltman
Publisher: Johns Hopkins University Press
Total Pages: 235
Release: 2020-09-01
Genre: Mathematics
ISBN: 1421438194

Drawing on history and current events, Weltman tackles five fascinating questions: Is math the universal language? Can math eliminate bias? Can math predict the next move? Can math open doors? And finally, What is genuine beauty? Supermath is an enlightening book that pursues complex lines of mathematical thought while providing a fascinating lens into global problems and human culture as a whole.