Delightful. In the joy of x, with wit, steven strogatz expands on his hit New York Times series to explain the big ideas of math gently and clearly, insight, and brilliant illustrations. You'll never forget the pythagorean theorem again!”—Scientific American Many people take math in high school and promptly forget much of it.
The Joy of x: A Guided Tour of Math, from One to Infinity #ad - . But math plays a part in all of our lives all of the time, whether we know it or not. Easily digestible chapters include plenty of helpful examples and illustrations.
Infinite Powers: How Calculus Reveals the Secrets of the UniverseHoughton Mifflin Harcourt #ad - . By unveiling the principles of that language, Infinite Powers makes us marvel at the world anew. . An array of witty and astonishing stories. Strogatz reveals how this form of math rose to the challenges of each age: how to determine the area of a circle with only sand and a stick; how to explain why Mars goes “backwards” sometimes; how to make electricity with magnets; how to ensure your rocket doesn’t miss the moon; how to turn the tide in the fight against AIDS.
As strogatz proves, calculus is truly the language of the universe. To illuminate how calculus has helped bring into being our contemporary world. The washington postfrom preeminent math personality and author of The Joy of x, a brilliant and endlessly appealing explanation of calculus – how it works and why it makes our lives immeasurably better.
Without calculus, tv, gpS, we wouldn’t have cell phones, or ultrasound. We wouldn’t have unraveled dna or discovered Neptune or figured out how to put 5, 000 songs in your pocket. Though many of us were scared away from this essential, engrossing subject in high school and college, Steven Strogatz’s brilliantly creative, down‑to‑earth history shows that calculus is not about complexity; it’s about simplicity.
Infinite Powers: How Calculus Reveals the Secrets of the Universe #ad - It harnesses an unreal number—infinity—to tackle real‑world problems, breaking them down into easier ones and then reassembling the answers into solutions that feel miraculous. Infinite powers recounts how calculus tantalized and thrilled its inventors, starting with its first glimmers in ancient Greece and bringing us right up to the discovery of gravitational waves a phenomenon predicted by calculus.
New york times bestseller“marvelous.
Sync: How Order Emerges from Chaos In the Universe, Nature, and Daily LifeHachette Books #ad - Engagingly written for readers of books such as Chaos and The Elegant Universe, Sync is a tour-de-force of nonfiction writing. While the forces that synchronize the flashing of fireflies may seem to have nothing to do with our heart cells, there is in fact a deep connection. Synchrony is a science in its infancy, and Strogatz is a pioneer in this new frontier in which mathematicians and physicists attempt to pinpoint just how spontaneous order emerges from chaos.
Sync: How Order Emerges from Chaos In the Universe, Nature, and Daily Life #ad - . Along the tidal rivers of malaysia, thousands of fireflies congregate and flash in unison; the moon spins in perfect resonance with its orbit around the earth; our hearts depend on the synchronous firing of ten thousand pacemaker cells. From underground caves in texas where a french scientist spent six months alone tracking his sleep-wake cycle, this fascinating book spans disciplines, to the home of a Dutch physicist who in 1665 discovered two of his pendulum clocks swinging in perfect time, continents, and centuries.
At the heart of the universe is a steady, insistent beat, the sound of cycles in sync.
Zero: The Biography of a Dangerous IdeaPenguin Books #ad - Now it threatens the foundations of modern physics. Popular math at its most entertaining and enlightening. For centuries the power of zero savored of the demonic; once harnessed, it became the most important tool in mathematics. Today, zero lies at the heart of one of the biggest scientific controversies of all time: the quest for a theory of everything.
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. It is both nothing and everything. In zero, science journalist charles seife follows this innocent-looking number from its birth as an Eastern philosophical concept to its struggle for acceptance in Europe, its rise and transcendence in the West, and its ever-present threat to modern physics.
Zero: The Biography of a Dangerous Idea #ad - For zero, infinity's twin, is not like other numbers. Zero is really something"-Washington PostA New York Times Notable Book. The babylonians invented it, the Greeks banned it, the Hindus worshiped it, and the Church used it to fend off heretics. Here are the legendary thinkers—from pythagoras to Newton to Heisenberg, mathematics, from the Kabalists to today's astrophysicists—who have tried to understand it and whose clashes shook the foundations of philosophy, science, and religion.
What Is Mathematics?: An Elementary Approach to Ideas and MethodsOxford University Press #ad - Today, unfortunately, the traditional place of mathematics in education is in grave danger. This new edition of richard Courant's and Herbert Robbins's classic work seeks to address this problem. Meaningful mathematics is like journalism--it tells an interesting story. What is mathematics is like a fine piece of literature--it opens a window onto the world of mathematics for anyone interested to view.
Covering everything from natural numbers and the number system to geometrical constructions and projective geometry, from topology and calculus to matters of principle and the Continuum Hypothesis, this fascinating survey allows readers to delve into mathematics as an organic whole rather than an empty drill in problem solving.
What Is Mathematics?: An Elementary Approach to Ideas and Methods #ad - The best mathematics is like literature--it brings a story to life before your eyes and involves you in it, intellectually and emotionally. 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.
For more than two thousand years a familiarity with mathematics has been regarded as an indispensable part of the intellectual equipment of every cultured person. But unlike some journalism, the story has to be true. Its goal is to put the meaning back into mathematics. Written for beginners and scholars, for students and teachers, for philosophers and engineers, What is Mathematics?, Second Edition is a sparkling collection of mathematical gems that offers an entertaining and accessible portrait of the mathematical world.
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.
A History of PiSt. Martin's Griffin #ad - Petr beckmann holds up this mirror, giving the background of the times when pi made progress -- and also when it did not, because science was being stifled by militarism or religious fanaticism. The history of pi, though a small part of the history of mathematics, says the author, is nevertheless a mirror of the history of man.
Prelude to Mathematics Dover Books on MathematicsDover Publications #ad - W. Sawyer professor emeritus, University of Toronto defines mathematics as "the classification and study of all possible patterns. It is a broad definition, but one that seems appropriate to the great scope and depth of the topic. 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, matrices, determinants, transformations and group theory. 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. The emphasis here is not on mathematics with great practical utility, the apparently impossible — for example, the novel, but on those branches which are exciting in themselves — mathematics which offers the strange, an arithmetic in which no number is larger than four.
Prelude to Mathematics Dover Books on Mathematics #ad - 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. Weierstrassin this lively and stimulating account, noted mathematician and educator 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 - 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. 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.
. 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. 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 - Starting with the foundations of math familiar from school numbers, and algebra, he reveals how it is possible to climb all the way up to the topology and to four-dimensional shapes, geometry, and from there to infinity—and slightly beyond. 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, to a greater or lesser extent, but it's also true that we all, find math difficult and counterintuitive.
Prime Obsession: Bernhard Riemann and the Greatest Unsolved Problem in MathematicsJoseph Henry Press #ad - Brilliant for its clarity, astounding for its potential consequences, the Hypothesis took on enormous importance in mathematics. In august 1859 bernhard riemann, a little-known 32-year old mathematician, presented a paper to the Berlin Academy titled: "On the Number of Prime Numbers Less Than a Given Quantity.
In the middle of that paper, Riemann made an incidental remark — a guess, a hypothesis. Indeed, the successful solution to this puzzle would herald a revolution in prime number theory. Proving or disproving it became the greatest challenge of the age. It has become clear that the riemann Hypothesis, whose resolution seems to hang tantalizingly just beyond our grasp, holds the key to a variety of scientific and mathematical investigations.
Is the hypothesis true or false?riemann's basic inquiry, the primary topic of his paper, concerned a straightforward but nevertheless important matter of arithmetic — defining a precise formula to track and identify the occurrence of prime numbers. But it is that incidental remark — the Riemann Hypothesis — that is the truly astonishing legacy of his 1859 paper.
Prime Obsession: Bernhard Riemann and the Greatest Unsolved Problem in Mathematics #ad - Yet despite determined efforts by generations of mathematicians, the Riemann Hypothesis defies resolution. 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.
Hunting down the solution to the Riemann Hypothesis has become an obsession for many — the veritable "great white whale" of mathematical research. Because riemann was able to see beyond the pattern of the primes to discern traces of something mysterious and mathematically elegant shrouded in the shadows — subtle variations in the distribution of those prime numbers.
MeasurementHarvard University Press #ad - With plain english and pictures, he makes complex ideas about shape and motion intuitive and graspable, and offers a solution to math phobia by introducing us to math as an artful way of thinking and living. Lockhart’s mathematician’s Lament outlined how we introduce math to students in the wrong way.
. Measurement explains how math should be done.
e: The Story of a NumberPrinceton University Press #ad - e: The Story of a Number #ad - The interest earned on a bank account, the arrangement of seeds in a sunflower, and the shape of the Gateway Arch in St. In this informal and engaging history, Eli Maor portrays the curious characters and the elegant mathematics that lie behind the number. 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.