Professor Marcus du Sautoy shows how these masters of abstraction find a role in the real world and proves that mathematics is the driving force behind modern science. He explores the relationship between Newton and Leibniz, the men behind the calculus; looks at how the mathematics that Euler invented 200 years ago paved the way for the internet and discovers how Fourier transformed our understanding of heat, light and sound. In addition, he finds out how Galois’ mathematics describes the particles that make up our universe, how Gaussian distribution underpins modern medicine, and how Riemann’s maths helped Einstein with his theory of relativity. Finally, he introduces Cantor, who discovered infinite numbers; Poincaré, whose work gave rise to chaos theory; G.H. Hardy, whose work inspired the millions of codes that help to keep the internet safe, and Nicolas Bourbaki, the mathematician who never was. The BBC Radio 4 series looking at the people who shaped modern mathematics, written and presented by Marcus du Sautoy. 1 CDs, 150 minutes

    The strengths of these texts are characterized by mathematical integrity, comprehensive discussions of the concepts of calculus, and an impressively large collection of worked examples and illustrative figures.

    A number of the key figures in the new edition are revised to provide a more inviting and informative treatment. The figures are broken into component parts with supporting commentary so that they can more readily see the key ideas. Material from The Flying Circus is incorporated into the chapter opener puzzlers, sample problems, examples and end-of-chapter problems to make the subject more engaging. Checkpoints enable them to check their understanding of a question with some reasoning based on the narrative or sample problem they just read. Sample Problems also demonstrate how engineers can solve problems with reasoned solutions.

    The authors' comprehensive experience in legal practice, banking and teaching have enabled them to provide a condensed and easy to understand coverage of business law principles and areas of interest related thereto.

    His name had been linked to innumerable ladies. He had different girlfriends for every day of a year. Autumn had never thought that she would fall in love with him.

    It is well balanced between theory and practice and covers topics from binary numbers and logic gates to K-maps, variable mapping, counter design etc. Each chapter includes several worked out examples to give studentsa thorough grouding in related design concepts

    I'm here to tell you it is not. In fact, fundamental poker math is very easy to learn. More importantly, it can yield you a lot more profits at the poker table. Without using simple math at the poker table, you are simply playing a guessing game. Use Simple Math at the Poker Table and Increase You Winnings In this book I will teach you how to use simple arithmetic at the poker table to gain a huge skill advantage over your opponents that will allow you to win more and lose less. Poker players that don't use math are simply guessing and you'll learn to no longer guess and know the right mathematical move at the poker table. These simple mathematical concepts I will be teaching you will drastically help improve your poker game and allow you to make the most profitable decisions at the poker. Contents and Overview First you will be introduced to some fundamental overarching poker concepts that apply to poker mathematics. Then we will begin our journey into poker mathematics where you will learn about probabilities and odds, pot odds and implied odds, pot equity, and expected value. You will then learn how to quickly estimate your equity at the poker table using the Rule of 2 & 4. Moreover, you'll learn the steps involved in determining if calling with a drawing hand is profitable or not. We will also cover how to size your bets with the best hand and teach you how often bluffs and hero calls need to work to be profitable. Lastly, we will show you how to perform EV calculations and better understand card combinations. Effectively Understand and Utilize Essential Poker Math Develop a keen understanding of Probability and Odds Learn to quickly calculate Pot Odds & Implied Odds at the poker table Effectively use Pot Equity & The Rule of 2 & 4 to Determine the correct poker play Understand how to use Expected Value (EV) both on and off the table to analyze your plays Learn the important math behind Bluffs & Hero Calls to give you a skill advantage over your opponent Learn Card Combinations to further enhance your card reading abilities And Many More Amazing Topics… What You Will Get out of This Book Suitable for both beginning and experienced poker players alike you'll learn many essential fundamental poker mathematical concepts that will help you drastically improve your poker game. After reading this book, you will have mastered fundamental No Limit Holdem mathematics. You will have gained a huge skill advantage over your opponents and you will be able to quickly and effectively use math at the poker table to make are always the most profitable move. Most importantly, you will become a much better and profitable poker player! So what are you waiting for? Purchase this book today to start learning how to advance your poker game with simple poker math! Alton Hardin is the founder of MicroGrinder.com, a free micro stakes poker website that is dedicated to helping micro stakes poker players improve their poker game by offering a wide array of free and low-cost resources including poker courses, poker t

    The solved exercises cover all of the techniques discussed in the text, and include step-by-step instruction on working through the algorithms.

    This edition retains the scope and emphasis that have made the book very successful while adding over twenty new numerical examples and over 550 new end-of-chapter problems.

    The Clay Mathematics Institute is offering a prize of $1 million to anyone who can discover a general solution to the problem. In this book, Avner Ash and Robert Gross guide readers through the mathematics they need to understand this captivating problem.The key to the conjecture lies in elliptic curves, which are cubic equations in two variables. These equations may appear simple, yet they arise from some very deep--and often very mystifying--mathematical ideas. Using only basic algebra and calculus while presenting numerous eye-opening examples, Ash and Gross make these ideas accessible to general readers, and in the process venture to the very frontiers of modern mathematics. Along the way, they give an informative and entertaining introduction to some of the most profound discoveries of the last three centuries in algebraic geometry, abstract algebra, and number theory. They demonstrate how mathematics grows more abstract to tackle ever more challenging problems, and how each new generation of mathematicians builds on the accomplishments of those who preceded them. Ash and Gross fully explain how the Birch and Swinnerton-Dyer Conjecture sheds light on the number theory of elliptic curves, and how it provides a beautiful and startling connection between two very different objects arising from an elliptic curve, one based on calculus, the other on algebra.

    

    Offering inspiration and intellectual delight, the problems throughout the book encourage students to express their ideas in writing to explain how they conceive problems, what conjectures they make, and what conclusions they reach. Applying specific techniques and strategies, readers will acquire a solid understanding of the fundamental concepts and ideas of number theory.

    The Fourth Edition builds on this strength with new examples, additional applications and increased cryptology coverage. Up-to-date information on the latest discoveries is included.Elementary Number Theory and Its Applications provides a diverse group of exercises, including basic exercises designed to help students develop skills, challenging exercises and computer projects. In addition to years of use and professor feedback, the fourth edition of this text has been thoroughly accuracy checked to ensure the quality of the mathematical content and the exercises.

    The raynids prey on humans as a food source, swarming through the universe like locusts from a nightmare. A small band of survivors of the distant planet of Gaviron hunt the monsters but they’re slowly losing the war. Biron, highly-trained and gifted warrior of Gaviron, reluctantly agrees to a last desperate strategy. The goal isn’t to defeat the raynids but to make sure a few small pockets of humanity survive. To do his part, Biron takes on the role of protector on the small Earthling colony of Blithe. In exchange, the people of Blithe must offer up one of their women as Biron’s bride so that a small piece of Gaviron will live on. Heartbroken by the years of fighting the raynids and losing everyone he’s loved, Biron doesn’t care who he marries. Esta Brunner, intelligent, brave and attractive, makes as good a choice as anyone. Esta agrees to the terms of their Gaviron saviors. And as she and Biron fight against their common foe, her alien husband’s easy charm and physical beauty ease the discomfort of the forced marriage. Their fledging relationship comforts them both until another danger intrudes on the planet. Once the fragile trust between them is broken, Esta realizes how much she’s come to care for her lonely husband. It will take Esta’s clever mind and Biron’s knowledge and skills together to defeat the raynids. Before they can trust each other again, Esta must accept the depth of her love for her husband and Biron must learn what love is. Other titles available by Susan Kelley through New Concepts Publishing: Recon Marines I: The Marine's Queen Recon Marines II: The Marine's Heiress Recon Marines III: The Marine's Doctor The Greater Good The Lesser Evil A Ruthless Good One Good Woman Book I: To Tame a Tiger Book II:Tiger's Mate Book III :A Tiger's Courage The Warrior and the Biologist Coming Soon to Amazon: The Warrior and the Governor (Now Available for Pre-Order) If you enjoyed this book, be sure to check out these other exciting titles available from New Concepts Publishing: The Men of Anderas I: Jardan, the King by C.J. Johnson The Men of Anderas II: Dak the Protector by C.J. Johnson The Men of Anderas III: Talon, the Assassin by C.J. Johnson Watchers by Kaitlyn O'Connor Dragons of the Dawn by Kaitlyn O'Connor Centaur Chronicles: Unbridled by Raven Willow-Wood The Forgotten Realms: Primal Instincts by Raven Willow-Wood Love's Captive by Myra Nour