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Author : DAVID. BANERJEE DARLING (AGNIJO.)
Publisher : Unknown
Page : 128 pages
File Size : 45,7 Mb
Release : 2019
Category : Electronic
ISBN : 1786074850
Author : David Darling,Agnijo Banerjee
Publisher : Basic Books
Page : 304 pages
File Size : 48,5 Mb
Release : 2018-04-17
Category : Mathematics
ISBN : 9781541644793
A successful science writer and a teenage math prodigy reveal the complex mathematics that is all around us Everyone has stared at the crumpled page of a math assignment and wondered, where on Earth will I ever use this? It turns out, Earth is precisely the place. As teen math prodigy Agnijo Banerjee and his teacher David Darling reveal, complex math surrounds us. If we think long enough about the universe, we're left not with material stuff, but a ghostly and beautiful set of equations. Packed with puzzles and paradoxes, mind-bending concepts, and surprising solutions, Weird Math leads us from a lyrical exploration of mathematics in our universe to profound questions about God, chance, and infinity. A magical introduction to the mysteries of math, it will entrance beginners and seasoned mathematicians alike.
Author : Ben Orlin
Publisher : Black Dog & Leventhal
Page : 556 pages
File Size : 48,7 Mb
Release : 2018-09-18
Category : Mathematics
ISBN : 9780316509022
A hilarious reeducation in mathematics-full of joy, jokes, and stick figures-that sheds light on the countless practical and wonderful ways that math structures and shapes our world. In Math With Bad Drawings, Ben Orlin reveals to us what math actually is; its myriad uses, its strange symbols, and the wild leaps of logic and faith that define the usually impenetrable work of the mathematician. Truth and knowledge come in multiple forms: colorful drawings, encouraging jokes, and the stories and insights of an empathetic teacher who believes that math should belong to everyone. Orlin shows us how to think like a mathematician by teaching us a brand-new game of tic-tac-toe, how to understand an economic crises by rolling a pair of dice, and the mathematical headache that ensues when attempting to build a spherical Death Star. Every discussion in the book is illustrated with Orlin's trademark "bad drawings," which convey his message and insights with perfect pitch and clarity. With 24 chapters covering topics from the electoral college to human genetics to the reasons not to trust statistics, Math with Bad Drawings is a life-changing book for the math-estranged and math-enamored alike.
Author : David Darling,Agnijo Banerjee
Publisher : Simon and Schuster
Page : 258 pages
File Size : 53,5 Mb
Release : 2021-02-04
Category : Mathematics
ISBN : 9781786078063
Maths is everywhere, in everything. It’s in the finest margins of modern sport. It’s in the electrical pulses of our hearts and the flight of every bird. It is our key to secret messages, lost languages and perhaps even the shape of the universe of itself. David Darling and Agnijo Banerjee reveal the mathematics at the farthest reaches of our world – from its role in the plots of novels to how animals employ numerical skills to survive. Along the way they explore what makes a genius, why a seemingly simple problem can confound the best and brightest for decades, and what might be the great discovery of the twenty-first century. As Bertrand Russell once said, ‘mathematics, rightly viewed, possesses not only truth, but supreme beauty’. Banerjee and Darling make sure we see it right again.
Author : David Darling,Agnijo Banerjee
Publisher : Simon and Schuster
Page : 256 pages
File Size : 50,6 Mb
Release : 2019-07-04
Category : Mathematics
ISBN : 9781786075093
Even the most enthusiastic of maths students probably at one time wondered when exactly it would all prove useful in ‘real life’. Well, maths reaches so far and wide through our world that, love it or hate it, we’re all doing maths almost every minute of every day. David Darling and Agnijo Banerjee go in search of the perfect labyrinth, journey back to the second century in pursuit of ‘bubble maths’, reveal the weirdest mathematicians in history and transform the bewildering into the beautiful, delighting us once again.
Author : Lara Alcock
Publisher : OUP Oxford
Page : 272 pages
File Size : 41,8 Mb
Release : 2014-09-25
Category : Mathematics
ISBN : 9780191035371
Analysis (sometimes called Real Analysis or Advanced Calculus) is a core subject in most undergraduate mathematics degrees. It is elegant, clever and rewarding to learn, but it is hard. Even the best students find it challenging, and those who are unprepared often find it incomprehensible at first. This book aims to ensure that no student need be unprepared. It is not like other Analysis books. It is not a textbook containing standard content. Rather, it is designed to be read before arriving at university and/or before starting an Analysis course, or as a companion text once a course is begun. It provides a friendly and readable introduction to the subject by building on the student's existing understanding of six key topics: sequences, series, continuity, differentiability, integrability and the real numbers. It explains how mathematicians develop and use sophisticated formal versions of these ideas, and provides a detailed introduction to the central definitions, theorems and proofs, pointing out typical areas of difficulty and confusion and explaining how to overcome these. The book also provides study advice focused on the skills that students need if they are to build on this introduction and learn successfully in their own Analysis courses: it explains how to understand definitions, theorems and proofs by relating them to examples and diagrams, how to think productively about proofs, and how theories are taught in lectures and books on advanced mathematics. It also offers practical guidance on strategies for effective study planning. The advice throughout is research based and is presented in an engaging style that will be accessible to students who are new to advanced abstract mathematics.
Author : David Acheson
Publisher : Oxford University Press
Page : 240 pages
File Size : 48,6 Mb
Release : 2020-10-22
Category : Mathematics
ISBN : 9780192585370
How can we be sure that Pythagoras's theorem is really true? Why is the 'angle in a semicircle' always 90 degrees? And how can tangents help determine the speed of a bullet? David Acheson takes the reader on a highly illustrated tour through the history of geometry, from ancient Greece to the present day. He emphasizes throughout elegant deduction and practical applications, and argues that geometry can offer the quickest route to the whole spirit of mathematics at its best. Along the way, we encounter the quirky and the unexpected, meet the great personalities involved, and uncover some of the loveliest surprises in mathematics.
Author : David L. Goodstein
Publisher : Courier Corporation
Page : 512 pages
File Size : 54,7 Mb
Release : 2014-06-01
Category : Science
ISBN : 9780486795515
Suitable for advanced undergraduates and graduate students of physics, this uniquely comprehensive overview provides a rigorous, integrated treatment of physical principles and techniques related to gases, liquids, solids, and their phase transitions. 1975 edition.
Author : Matt Parker
Publisher : Penguin
Page : 338 pages
File Size : 54,5 Mb
Release : 2020-01-21
Category : Mathematics
ISBN : 9780593084700
#1 INTERNATIONAL BESTSELLER AN ADAM SAVAGE BOOK CLUB PICK The book-length answer to anyone who ever put their hand up in math class and asked, “When am I ever going to use this in the real world?” “Fun, informative, and relentlessly entertaining, Humble Pi is a charming and very readable guide to some of humanity's all-time greatest miscalculations—that also gives you permission to feel a little better about some of your own mistakes.” —Ryan North, author of How to Invent Everything Our whole world is built on math, from the code running a website to the equations enabling the design of skyscrapers and bridges. Most of the time this math works quietly behind the scenes . . . until it doesn’t. All sorts of seemingly innocuous mathematical mistakes can have significant consequences. Math is easy to ignore until a misplaced decimal point upends the stock market, a unit conversion error causes a plane to crash, or someone divides by zero and stalls a battleship in the middle of the ocean. Exploring and explaining a litany of glitches, near misses, and mathematical mishaps involving the internet, big data, elections, street signs, lotteries, the Roman Empire, and an Olympic team, Matt Parker uncovers the bizarre ways math trips us up, and what this reveals about its essential place in our world. Getting it wrong has never been more fun.
Author : Amir D. Aczel
Publisher : Union Square + ORM
Page : 328 pages
File Size : 50,7 Mb
Release : 2011-10-04
Category : Biography & Autobiography
ISBN : 9781402790850
The international bestselling author of Fermat’s Last Theorem explores the eccentric lives of history’s foremost mathematicians. From Archimedes’s eureka moment to Alexander Grothendieck’s seclusion in the Pyrenees, bestselling author Amir Aczel selects the most compelling stories in the history of mathematics, creating a colorful narrative that explores the quirky personalities behind some of the most groundbreaking, influential, and enduring theorems. Alongside revolutionary innovations are incredible tales of duels, battlefield heroism, flamboyant arrogance, pranks, secret societies, imprisonment, feuds, and theft—as well as some costly errors of judgment that prove genius doesn’t equal street smarts. Aczel’s colorful and enlightening profiles offer readers a newfound appreciation for the tenacity, complexity, eccentricity, and brilliance of our greatest mathematicians.
Author : David Foster Wallace
Publisher : Back Bay Books
Page : 546 pages
File Size : 47,5 Mb
Release : 2009-11-23
Category : Humor
ISBN : 9780316090520
These widely acclaimed essays from the author of Infinite Jest -- on television, tennis, cruise ships, and more -- established David Foster Wallace as one of the preeminent essayists of his generation. In this exuberantly praised book -- a collection of seven pieces on subjects ranging from television to tennis, from the Illinois State Fair to the films of David Lynch, from postmodern literary theory to the supposed fun of traveling aboard a Caribbean luxury cruiseliner -- David Foster Wallace brings to nonfiction the same curiosity, hilarity, and exhilarating verbal facility that has delighted readers of his fiction, including the bestselling Infinite Jest.
Author : Mark C. Chu-Carroll
Publisher : Pragmatic Bookshelf
Page : 269 pages
File Size : 47,5 Mb
Release : 2013-07-18
Category : Computers
ISBN : 9781680503609
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.
Author : Kevin Houston
Publisher : Cambridge University Press
Page : 341 pages
File Size : 41,5 Mb
Release : 2009-02-12
Category : Mathematics
ISBN : 9781139477055
Looking for a head start in your undergraduate degree in mathematics? Maybe you've already started your degree and feel bewildered by the subject you previously loved? Don't panic! This friendly companion will ease your transition to real mathematical thinking. Working through the book you will develop an arsenal of techniques to help you unlock the meaning of definitions, theorems and proofs, solve problems, and write mathematics effectively. All the major methods of proof - direct method, cases, induction, contradiction and contrapositive - are featured. Concrete examples are used throughout, and you'll get plenty of practice on topics common to many courses such as divisors, Euclidean algorithms, modular arithmetic, equivalence relations, and injectivity and surjectivity of functions. The material has been tested by real students over many years so all the essentials are covered. With over 300 exercises to help you test your progress, you'll soon learn how to think like a mathematician.
Author : Anil Ananthaswamy
Publisher : Prelude Books
Page : 304 pages
File Size : 54,7 Mb
Release : 2020-01-23
Category : Science
ISBN : 9780715653937
The clearest, most accessible explanation yet of the amazing world of quantum mechanics. How can matter behave both like a particle and a wave? Does a particle exist before we look at it or does the very act of looking bring it into reality? Are there hidden elements to reality missing from the orthodox view of quantum physics? And is there a place where the quantum world ends and our perceivable world begins? Many of science's greatest minds have grappled with these questions embodied by the simple yet elusive "double-slit" experiment. Thomas Young devised it in the early 1800s to show that light behaves like a wave, and in doing so opposed Isaac Newton’s theories. Nearly a century later, Albert Einstein showed that light comes in particles, and the experiment became key to a fierce debate with Niels Bohr over the nature of reality. Richard Feynman held that the double slit embodies the central mystery of the quantum world. Hypothesis after hypothesis, scientists have returned to this ingenious experiment to help them answer the deep questions about the fabric of our universe. With his extraordinary gift for making the complicated comprehensible, Anil Ananthaswamy travels around the world and through history, down to the smallest scales of physical reality we have yet fathomed for the answers. ***PRAISE FOR THROUGH TWO DOORS AT ONCE*** A Physics Book of the Year A Forbes Best Book of the Year A Kirkus Best Book of the Year A Smithsonian Favourite Book of the Year Publisher's Weekly Best Books of Autumn 'A fascinating read and a must for anyone who would like to find out the latest experimental advances made in this most fundamental of quantum experiments.' Physics World 'Ananthaswamy cleverly comes at quantum physics from a different direction... An excellent addition to the 'Quantum physics for the rest of us' shelf.' Brian Clegg, author of Are Numbers Real? and The Quantum Age 'A challenging and rewarding survey of how scientists are grappling with nature’s deepest, strangest secrets.' Wall Street Journal 'A fascinating tour through the cutting-edge physics the experiment keeps on spawning.' Scientific American 'Ananthaswamy gives an absolutely mind-boggling tour of how quantum physicists try to explain this “reality” that one of the most powerful scientific models of our era.' Smithsonian 'Offers beginners the tools they need to seriously engage with the philosophical questions that likely drew them to quantum mechanics.' Science 'At a time when popular physics writing so valorizes theory, a quietly welcome strength of Ananthaswamy’s book is how much human construction comes into focus here. This is not “nature” showing us, but us pressing “nature” for answers to our increasingly obsessional questions.' Washington Post 'Ananthaswamy's book is simply an outstanding exploration of the double slit experiment and what makes it so weird.' Forbes 'A thrilling survey of the most famous, enduring, and enigmatic experiment in the history of science.' Kirkus, starred review
Author : Donald Ervin Knuth
Publisher : Addison-Wesley Professional
Page : 130 pages
File Size : 44,6 Mb
Release : 1974
Category : Computers
ISBN : 0201038129
Nearly 30 years ago, John Horton Conway introduced a new way to construct numbers. Donald E. Knuth, in appreciation of this revolutionary system, took a week off from work on The Art of Computer Programming to write an introduction to Conway's method. Never content with the ordinary, Knuth wrote this introduction as a work of fiction--a novelette. If not a steamy romance, the book nonetheless shows how a young couple turned on to pure mathematics and found total happiness. The book's primary aim, Knuth explains in a postscript, is not so much to teach Conway's theory as "to teach how one might go about developing such a theory." He continues: "Therefore, as the two characters in this book gradually explore and build up Conway's number system, I have recorded their false starts and frustrations as well as their good ideas. I wanted to give a reasonably faithful portrayal of the important principles, techniques, joys, passions, and philosophy of mathematics, so I wrote the story as I was actually doing the research myself."... It is an astonishing feat of legerdemain. An empty hat rests on a table made of a few axioms of standard set theory. Conway waves two simple rules in the air, then reaches into almost nothing and pulls out an infinitely rich tapestry of numbers that form a real and closed field. Every real number is surrounded by a host of new numbers that lie closer to it than any other "real" value does. The system is truly "surreal." quoted from Martin Gardner, Mathematical Magic Show, pp. 16--19 Surreal Numbers, now in its 13th printing, will appeal to anyone who might enjoy an engaging dialogue on abstract mathematical ideas, and who might wish to experience how new mathematics is created. 0201038129B04062001