It covers areas such as fundamentals, logic, counting, relations and digraphs, trees, topics in graph theory, languages and finite-state machines, and groups and coding.

    Inspired by Einstein, Coltrane put physics and geometry at the core of his music. Physicist and jazz musician Stephon Alexander follows suit, using jazz to answer physics' most vexing questions about the past and future of the universe. Following the great minds that first drew the links between music and physics-a list including Pythagoras, Kepler, Newton, Einstein, and Rakim-The Jazz of Physics reveals that the ancient poetic idea of the Music of the Spheres," taken seriously, clarifies confounding issues in physics. The Jazz of Physics will fascinate and inspire anyone interested in the mysteries of our universe, music, and life itself.

    Admittedly real life wasn’t like that. But only, they argued, because we didn’t have enough data to be certain.Then the cracks began to appear. It proved impossible to predict exactly how three planets orbiting each other would move. Meteorologists discovered that the weather was truly chaotic – so dependent on small variations that it could never be predicted for more than a few days out. And the final nail in the coffin was quantum theory, showing that everything in the universe has probability at its heart.That gives human beings a problem. We understand the world through patterns. Randomness and probability will always be alien to us. But it’s time to plunge into this fascinating, shadowy world, because randomness crops up everywhere. Probability and statistics are the only way to get a grip on nature’s workings. They may even seal the fate of free will and predict how the universe will end.Forget Newton’s clockwork universe. Welcome to Dice World.

    The addition of this book is a must for all upper-level Christian school curricula and for college students and adults interested in math or related fields of science and religion. It will serve as a solid refutation for the claim, often made in court, that mathematics is one subject, which cannot be taught from a distinctively Biblical perspective.

    It is highly recommended for anyone planning to study advanced analysis, e.g., complex variables, differential equations, Fourier analysis, numerical analysis, several variable calculus, and statistics. It is also recommended for future secondary school teachers. A limited number of concepts involving the real line and functions on the real line are studied. Many abstract ideas, such as metric spaces and ordered systems, are avoided. The least upper bound property is taken as an axiom and the order properties of the real line are exploited throughout. A thorough treatment of sequences of numbers is used as a basis for studying standard calculus topics. Optional sections invite students to study such topics as metric spaces and Riemann-Stieltjes integrals.

    You'll find out how to unknot your DNA, how to count like a supercomputer and how to become famous for solving mathematics' most challenging problem.

    Includes such gems as:? There are 42 eyes in a deck of cards, and 42 dots on a pair of dice ? In order to fill in a map so that neighboring regions never get the same color, one never needs more than four colors ? Hells Angels use the number 81 in their insignia because the initials H and A are the eighth and first numbers in the alphabet respectively

    Using playing cards, a newspaper, the back of an envelope, a Sudoku, some pennies and of course a pair of socks, Rob Eastaway shows how maths can demonstrate its secret beauties in even the most mundane of everyday objects. Among the many fascinating curiosities in these pages, you will discover the strange link between limericks and rabbits, an apparently 'fair' coin game where the odds are massively in your favour, why tourist boards can't agree on where the centre of Britain is, and how simple paper folding can lead to a Jurassic Park monster. With plenty of ideas you'll want to test out for yourself, this engaging and refreshing look at mathematics is for everyone.

    Good stories are full of life: they engage our emotions and have subtlety and nuance, but they lack rigor and the truths they tell are elusive and subject to debate. As ways of understanding the world around us, numbers and stories seem almost completely incompatible. Once Upon a Number shows that stories and numbers aren't as different as you might imagine, and in fact they have surprising and fascinating connections. The concepts of logic and probability both grew out of intuitive ideas about how certain situations would play out. Now, logicians are inventing ways to deal with real world situations by mathematical means -- by acknowledging, for instance, that items that are mathematically interchangeable may not be interchangeable in a story. And complexity theory looks at both number strings and narrative strings in remarkably similar terms. Throughout, renowned author John Paulos mixes numbers and narratives in his own delightful style. Along with lucid accounts of cutting-edge information theory we get hilarious anecdotes and jokes; instructions for running a truly impressive pyramid scam; a freewheeling conversation between Groucho Marx and Bertrand Russell (while they're stuck in an elevator together); explanations of why the statistical evidence against OJ Simpson was overwhelming beyond doubt and how the Unabomber's thinking shows signs of mathematical training; and dozens of other treats. This is another winner from America's favorite mathematician.

    In Leonardo da Vinci, Sherwin Nuland completes his twenty-year quest to understand an unlettered man who was a painter, architect, engineer, philosopher, mathematician, and scientist. What was it that propelled Leonardo's insatiable curiosity? Nuland finds clues in his subject's art, relationships, and scientific studies--as well as in a vast quantity of notes that became widely known in the twentieth century. Scholarly and passionate, Nuland's Leonardo da Vinci takes us deep into the first truly modern, empirical mind, one that was centuries ahead of its time.

    To understand algebra is to possess the power to grow your skills and knowledge so you can ace your courses and possibly pursue further study in math. Algebra II For Dummies is the fun and easy way to get a handle on this subject and solve even the trickiest algebra problems. This friendly guide shows you how to get up to speed on exponential functions, laws of logarithms, conic sections, matrices, and other advanced algebra concepts. In no time you'll have the tools you need to:Interpret quadratic functions Find the roots of a polynomial Reason with rational functions Expose exponential and logarithmic functions Cut up conic sections Solve linear and non linear systems of equations Equate inequalities Simplifyy complex numbers Make moves with matrices Sort out sequences and sets This straightforward guide offers plenty of multiplication tricks that only math teachers know. It also profiles special types of numbers, making it easy for you to categorize them and solve any problems without breaking a sweat. When it comes to understanding and working out algebraic equations, Algebra II For Dummies is all you need to succeed!

    Naturalist. Warrior. President. There are so many sides to Theodore Roosevelt that it is easy to overlook one of his most enduring contributions to American public life: the use of fame to fuel his political career.In this concisely written, enlightening book, presidential historian Lewis L. Gould goes beyond the bully pulpit stereotypes to reveal how Roosevelt used his celebrity to change American politics. Based on research gleaned from the personal papers of Roosevelt and his contemporaries, TheodoreRoosevelt recaptures its subject's bold activism and irrepressible, larger-than-life personality. Beginning with his privileged childhood in New York City, the narrative traces his election to the New York Assembly, where he quickly rose through the ranks of the Republican Party. It is here that hefirst applied his shrewd ability to keep himself in the spotlight--a skill that served him well as commander of a volunteer regiment (dubbed Roosevelt's Rough Riders) in the Spanish-American War. Gould shows how Roosevelt rode a wave of popular acclaim at the war's end, assuming the governorshipof New York and serving as president from 1901 to 1909. While covering his major accomplishments as chief executive, including his successes as a trust-buster, labor mediator, and conservationist, Gould explains how fame both sustained and limited Roosevelt when he ran for president in 1912 andopposed Woodrow Wilson's policies during World War I.Theodore Roosevelt delivers the most insightful look yet at a pioneer of political theater--a man whose vigorous idealism as a champion of democracy serves as a counterpoint to the cynicism of today's political landscape. The book will coincide with the 100th anniversary of Roosevelt's third partyrun for the Progressive or Bull Moose Party.

    

    Egypt is stunningly beautiful with a pleasant climate year-round, and if that alone isn't a big enough draw for the time-traveler, the fruits of Egyptian civilization are plentiful and worthy of contemplation. Pyramids and temples to the gods abound, and colossal statues of Egypt's divine rulers are seemingly everywhere. The Egyptians, however, are not particularly fond of foreigners, and just getting to Egypt can be arduous. Here is the inside scoop on how to enter and travel through Egypt, conform to its customs and expectations, and appreciate its often mysterious culture. You'll travel the Nile from north to south, stopping at such intriguing places as Memphis, Akhetaten, Abydos, and Thebes, where Egypt's grand past and present unfold before you. Egypt has long been a subject of broad popular interest, and this book provides an enjoyable glimpse of the ancient empire and its industrious people. Advice for the traveler in ancient Egypt: Foreigners might be bewildered by animal-headed deities and what appear to be numerous contradictions in Egyptian theology. Not to worry: there's a system behind it. Don't bring up the topic of the renegade pharaoh, Akhenaten, among new acquaintances. Many wish he hadn't existed. Should you need to visit an Egyptian physician, there's agood chance he'll prescribe a purge of one sort or another, accompanied by a magic spell.

    With his trademark clarity and humor, Holt probes the mysteries of quantum mechanics, the quest for the foundations of mathematics, and the nature of logic and truth. Along the way, he offers intimate biographical sketches of celebrated and neglected thinkers, from the physicist Emmy Noether to the computing pioneer Alan Turing and the discoverer of fractals, Benoit Mandelbrot. Holt offers a painless and playful introduction to many of our most beautiful but least understood ideas, from Einsteinian relativity to string theory, and also invites us to consider why the greatest logician of the twentieth century believed the U.S. Constitution contained a terrible contradiction--and whether the universe truly has a future.