W. Indeed, mathematics seems to have few boundaries, either in applications to practical matters or in its mind-stretching excursions into realms of pure abstraction. Gearing his approach to the layman whose grasp of things mathematical may be a bit precarious, Professor Sawyer offers a lucid, accessible introduction to the mathematician's cast of mind.
Prelude to Mathematics Dover Books on Mathematics #ad - . The emphasis here is not on mathematics with great practical utility, the novel, but on those branches which are exciting in themselves — mathematics which offers the strange, the apparently impossible — for example, an arithmetic in which no number is larger than four. Mathematicians will appreciate the author's grasp of a wide range of important mathematical topics, will appreciate the accessibility of much of the book, which affords not only a portrait of mathematics as a matchless tool for probing the nature of the universe, especially those with a minimal math background, and his ability to illuminate the complex issues involved; laymen, but a revealing glimpse of that mysterious entity called "the mathematical mind.
Professor sawyer has further enhanced this new Dover edition with updated material on group theory, appearing here in English for the first time. Five well-written preliminary chapters explore the beauty, power and mysticism of mathematics; the role of math as an adjunct in utilitarian matters; and the concepts of pattern, generalization and unification as both tools and goals of mathematical thought.
After developing this conceptual groundwork, projective geometry, the author goes on to treat of more advanced topics: non-Euclidean geometry, determinants, matrices, transformations and group theory.
The Joy of x: A Guided Tour of Math, from One to InfinityMariner Books #ad - Delightful. Mariner Books. Whether you aced integral calculus or aren’t sure what an integer is, you’ll find profound wisdom and persistent delight in The Joy of x. Easily digestible chapters include plenty of helpful examples and illustrations. In the joy of x, insight, with wit, steven Strogatz expands on his hit New York Times series to explain the big ideas of math gently and clearly, and brilliant illustrations.
The Joy of x: A Guided Tour of Math, from One to Infinity #ad - Whether he is illuminating how often you should flip your mattress to get the maximum lifespan from it, explaining just how Google searches the internet, or determining how many people you should date before settling down, Strogatz shows how math connects to every aspect of life. You'll never forget the pythagorean theorem again!"—Scientific AmericanMany people take math in high school and promptly forget much of it.
Discussing pop culture, medicine, and business, philosophy, art, law, Strogatz is the math teacher you wish you’d had. But math plays a part in all of our lives all of the time, whether we know it or not.
Zero: The Biography of a Dangerous IdeaPenguin Books #ad - Penguin Books. For centuries the power of zero savored of the demonic; once harnessed, it became the most important tool in mathematics. It is both nothing and everything. In zero, its rise and transcendence in the west, science Journalist Charles Seife follows this innocent-looking number from its birth as an Eastern philosophical concept to its struggle for acceptance in Europe, and its ever-present threat to modern physics.
Zero is really something"-Washington PostA New York Times Notable Book. The babylonians invented it, the Hindus worshiped it, the Greeks banned it, and the Church used it to fend off heretics. Today, zero lies at the heart of one of the biggest scientific controversies of all time: the quest for a theory of everything.
Zero: The Biography of a Dangerous Idea #ad - Popular math at its most entertaining and enlightening. Zero has pitted east against west and faith against reason, and its intransigence persists in the dark core of a black hole and the brilliant flash of the Big Bang. Mariner Books. For zero, infinity's twin, is not like other numbers. Here are the legendary thinkers—from pythagoras to Newton to Heisenberg, from the Kabalists to today's astrophysicists—who have tried to understand it and whose clashes shook the foundations of philosophy, mathematics, science, and religion.
Now it threatens the foundations of modern physics.
MeasurementBelknap Press: An Imprint of Harvard University Press #ad - Measurement offers a permanent solution to math phobia by introducing us to mathematics as an artful way of thinking and living. In conversational prose that conveys his passion for the subject, Lockhart makes mathematics accessible without oversimplifying. Favoring plain english and pictures over jargon and formulas, he succeeds in making complex ideas about the mathematics of shape and motion intuitive and graspable.
For seven years, paul lockhart’s a mathematician’s Lament enjoyed a samizdat-style popularity in the mathematics underground, before demand prompted its 2009 publication to even wider applause and debate. He makes no more attempt to hide the challenge of mathematics than he does to shield us from its beautiful intensity.
Measurement #ad - His elegant discussion of mathematical reasoning and themes in classical geometry offers proof of his conviction that mathematics illuminates art as much as science. Lockhart leads us into a universe where beautiful designs and patterns float through our minds and do surprising, miraculous things. Here lockhart offers the positive side of the math education story by showing us how math should be done.
An impassioned critique of k–12 mathematics education, it outlined how we shortchange students by introducing them to math the wrong way. Mariner Books. Penguin Books.
Journey through Genius: The Great Theorems of MathematicsPenguin Books #ad - It is mathematics by lightning flash. Isaac asimov Mariner Books. 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. Like masterpieces of art, and literature, music, great mathematical theorems are creative milestones, works of genius destined to last forever.
Belknap Press. 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, to the paranoid genius of modern times, the absentminded theoretician whose absorption in his work often precluded eating or bathing, the sixteenth-century mathematician whose accomplishments flourished despite a bizarre array of misadventures, to Gerolamo Cardano, Georg Cantor.
Journey through Genius: The Great Theorems of Mathematics #ad - . 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. Penguin Books.
What Is Mathematics? An Elementary Approach to Ideas and MethodsOxford University Press #ad - Brought up to date with a new chapter by ian stewart, problems that were still open when Courant and Robbins wrote this masterpiece, What is Mathematics?, Second Edition offers new insights into recent mathematical developments and describes proofs of the Four-Color Theorem and Fermat's Last Theorem, but ones that have since been solved.
Formal mathematics is like spelling and grammar--a matter of the correct application of local rules. Mariner Books. Penguin Books. With chapters largely independent of one another and sections that lead upward from basic to more advanced discussions, readers can easily pick and choose areas of particular interest without impairing their understanding of subsequent parts.
What Is Mathematics? An Elementary Approach to Ideas and Methods #ad - What is mathematics is like a fine piece of literature--it opens a window onto the world of mathematics for anyone interested to view. The teaching and learning of mathematics has degenerated into the realm of rote memorization, the outcome of which leads to satisfactory formal ability but does not lead to real understanding or to greater intellectual independence.
. Today, unfortunately, the traditional place of mathematics in education is in grave danger. The best mathematics is like literature--it brings a story to life before your eyes and involves you in it, intellectually and emotionally. But unlike some journalism, the story has to be true. Oxford university Press USA.
Mathematician's Delight Dover Books on MathematicsDover Publications #ad - While this is very flattering for successful mathematicians, it is very bad for those who, for one reason or another, are attempting to learn the subject. Now retired, new zealand, which he used at colleges in England and Scotland as well as Africa, Sawyer won international renown for his innovative teaching methods, and North America.
Mariner Books. Oxford university Press USA. Penguin Books. Sawyer, adding that "Many people regard mathematicians as a race apart, possessed of almost supernatural powers. Generations of readers have found it the ideal introduction to mathematics, offering accessible explanations of how theory arises from real-life applications.
Mathematician's Delight Dover Books on Mathematics #ad - The main object of this book is to dispel the fear of mathematics, " declares author W. Belknap Press. Recommended with confidence" by the times literary Supplement, logarithms, this lively survey starts with simple arithmetic and algebra and proceeds by gradual steps through graphs, and trigonometry to calculus and the world of numbers.
His insights into the pleasures and practicalities of mathematics will appeal to readers of all backgrounds. W.
Things to Make and Do in the Fourth Dimension: A Mathematician's Journey Through Narcissistic Numbers, Optimal Dating Algorithms, at Least Two Kinds of Infinity, and MoreFarrar, Straus and Giroux #ad - 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.
Parker invites us to relearn much of what baffled us in school and, this time, to be utterly enthralled by it. 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.
Things to Make and Do in the Fourth Dimension: A Mathematician's Journey Through Narcissistic Numbers, Optimal Dating Algorithms, at Least Two Kinds of Infinity, and More #ad - Oxford university Press USA. 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 entice us to take pleasure in mathematics at all levels. Starting with the foundations of math familiar from school numbers, from four dimensional shapes, he takes us on a grand tour, optimization algorithms, knot theory, geometry, the mysteries of prime numbers, and algebra, and the math behind barcodes and iPhone screens to the different kinds of infinity―and slightly beyond.
. Penguin Books. Belknap Press. 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. A revolutionary book from the stand-up mathematician that makes math fun again―now in paperback!Math is boring, says the mathematician and comedian Matt Parker.
Prime Obsession: Bernhard Riemann and the Greatest Unsolved Problem in MathematicsPlume #ad - Belknap Press. Penguin Books. Plume Books. Oxford university Press USA. Mariner Books. The definitive story of the Riemann Hypothesis, a fascinating and epic mathematical mystery that continues to challege the world. In 1859, a little-known thirty-two year old mathematician, bernhard Riemann, made a hypothesis while presenting a paper to the Berlin Academy titled “On the Number of Prime Numbers Less Than a Given Quantity.
Prime Obsession: Bernhard Riemann and the Greatest Unsolved Problem in Mathematics #ad - Today, the riemann hyphothesis remains unsolved, after 150 years of careful research and exhaustive study, with a one-million-dollar prize earmarked for the first person to conquer it. Alternating passages of extraordinarily lucid mathematical exposition with chapters of elegantly composed biography and history, Prime Obsession is a fascinating and fluent account of an epic mathematical mystery that continues to challenge and excite the world.
Farrar Straus Giroux.
e: The Story of a Number Princeton Science LibraryPrinceton University Press #ad - In this informal and engaging history, Eli Maor portrays the curious characters and the elegant mathematics that lie behind the number. Oxford university Press USA. Plume Books. Penguin Books. Mariner Books. Farrar Straus Giroux. The interest earned on a bank account, the arrangement of seeds in a sunflower, and the shape of the Gateway Arch in St.
e: The Story of a Number Princeton Science Library #ad - Louis are all intimately connected with the mysterious number e. Designed for a reader with only a modest mathematical background, this biography brings out the central importance of e to mathematics and illuminates a golden era in the age of science. Belknap Press.
An Imaginary Tale: The Story of √-1 Princeton Science LibraryPrinceton University Press #ad - Plume Books. University Press Group Ltd. Today complex numbers have such widespread practical use--from electrical engineering to aeronautics--that few people would expect the story behind their derivation to be filled with adventure and enigma. By the time of descartes, but efforts to solve them led to intense, a theoretical use for these elusive square roots--now called "imaginary numbers"--was suspected, bitter debates.
Belknap Press. He recreates the baffling mathematical problems that conjured it up, and the colorful characters who tried to solve them. In 1878, when two brothers stole a mathematical papyrus from the ancient Egyptian burial site in the Valley of Kings, they led scholars to the earliest known occurrence of the square root of a negative number.
An Imaginary Tale: The Story of √-1 Princeton Science Library #ad - This book can be read as an engaging history, almost a biography, of one of the most evasive and pervasive "numbers" in all of mathematics. Oxford university Press USA. Farrar Straus Giroux. In an imaginary tale, the square root of minus one, Paul Nahin tells the 2000-year-old history of one of mathematics' most elusive numbers, also known as i.
Penguin Books. Mariner Books. The papyrus offered a specific numerical example of how to calculate the volume of a truncated square pyramid, which implied the need for i.