Shows how any proof can be understood as a sequence of techniques. Covers the full range of techniques used in proofs, such as the contrapositive, induction, and proof by contradiction. Explains how to identify which techniques are used and how they are applied in the specific problem. Illustrates how to read written proofs with many step-by-step examples. Includes new, expanded appendices related to discrete mathematics, linear algebra, modern algebra and real analysis.

    But your pleasure and prowess at games, gambling, and other numerically related pursuits can be heightened with this entertaining volume, in which the authors offer a fascinating view of some of the lesser-known and more imaginative aspects of mathematics.A brief and breezy explanation of the new language of mathematics precedes a smorgasbord of such thought-provoking subjects as the googolplex (the largest definite number anyone has yet bothered to conceive of); assorted geometries — plane and fancy; famous puzzles that made mathematical history; and tantalizing paradoxes. Gamblers receive fair warning on the laws of chance; a look at rubber-sheet geometry twists circles into loops without sacrificing certain important properties; and an exploration of the mathematics of change and growth shows how calculus, among its other uses, helps trace the path of falling bombs.Written with wit and clarity for the intelligent reader who has taken high school and perhaps college math, this volume deftly progresses from simple arithmetic to calculus and non-Euclidean geometry. It “lives up to its title in every way [and] might well have been merely terrifying, whereas it proves to be both charming and exciting." — Saturday Review of Literature.

    Drawing heavily on the author's own real-world experiences, the book stresses design and analysis. Coverage is divided into two parts, the first being a general guide to techniques for the design and analysis of computer algorithms. The second is a reference section, which includes a catalog of the 75 most important algorithmic problems. By browsing this catalog, readers can quickly identify what the problem they have encountered is called, what is known about it, and how they should proceed if they need to solve it. This book is ideal for the working professional who uses algorithms on a daily basis and has need for a handy reference. This work can also readily be used in an upper-division course or as a student reference guide. THE ALGORITHM DESIGN MANUAL comes with a CD-ROM that contains: * a complete hypertext version of the full printed book. * the source code and URLs for all cited implementations. * over 30 hours of audio lectures on the design and analysis of algorithms are provided, all keyed to on-line lecture notes.

    In this Very Short Introduction, Peter M. Higgins, a renowned popular-science writer, unravels the world of numbers, demonstrating its richness and providing an overview of all the number types that feature in modern science and mathematics. Indeed, Higgins paints a crystal-clear picture of the number world, showing how the modern number system matured over many centuries, and introducing key concepts such as integers, fractions, real and imaginary numbers, and complex numbers. Higgins sheds light on such fascinating topics as the series of primes, describing how primes are now used to encrypt confidential data on the internet. He also explores the infinite nature of number collections and explains how the so-called real numbers knit together to form the continuum of the number line. Written in the fashion of Higgins' highly popular science paperbacks, Numbers accurately explains the nature of numbers and how so-called complex numbers and number systems are used in calculations that arise in real problems.

    Reeves truly was the most unusual US Marshal to ever serve this country. His accomplishments earned him the title of the most feared lawman in the wild and untamed Indian Territory. The reader will follow his never ending contacts with murders, robbers, horse thieves and whiskey runners. His remarkable life should be an inspiration for any reader. They will be impressed, and astonished by his fearlessness, dedication to honor, commitment to the law and his impact on history. Bass Reeves Lawman is the second of a trilogy based on the true life of Bass Reeves, the first Black US Marshal west of the Mississippi. You will follow him from as he meets famous people of the time. Pistol Pete, Belle Starr, Judge Isaac Parker, Heck Thomas and Sam Sixkiller were just some of the famous and infamous who crossed paths with this amazing man. Bass Reeves was born a slave, escaped captivity during the Civil War. His years of service, as a US Marshal, to the lawless Indian Territory helped write the history of Oklahoma. His honor, accomplishments and courage makes him eligible to be called the greatest lawman of his time. Bass Reeves’ story will make any lover of the old west wonder why he is not more famous. The history of the Old West is filled with stories of heroes and villains, and those stories have been a source of fascination for generations. The fact that the stories of these unique and colorful characters continue to intrigue people is a true testament to the grit and determination it actually took to tame a wild and unpredictable country. Among those stories, readers will seldom find a character that overcame more challenges and had more determination than Bass Reeves. As a slave, Reeves served a man who ultimately became the Speaker of the House of Texas. He was a participant in the Civil War and escaped to the lawless Indian Territory that is now Oklahoma. His life with the Indians, gave him the skills to make him a great tracker and hunter of outlaws. He learned five languages and gained respect of the Indians of the Territory, which made him one of the few who could gain information and accomplish the task of hunting down the lawless. Bass Reeves faced challenges in his new homeland that would have destroyed a lesser man, but his natural gifts of determination and intelligence helped mold the man into one of the most feared and respected lawmen in history. The story of Bass Reeves was illuminated in his day by only a flicker of candlelight, because he was black. If he had been a white man, the entire world would have known of his great exploits, and his name would have been mentioned with the likes of Wyatt Earp, Bat Masterson and Bill Hickok. If the real truth had been known, the name of Bass Reeves would have been a beacon of historical light, shining brighter than any of his contemporaries. The truth is, many of those more famous lawmen also reveled in some of the less honorable sides of life, like gambling, prostitution, profiteering, murder and vengeance. To the contrary, research into the life of Bass Reeves has shown that he strictly obeyed the laws of the land and strove to treat the men he hunted with even more respect than was customary for that time in history. Amazingly, Reeves stuck to these high standards in a wild territory that was often filled with greater danger than any of his contemporaries could have even imagined. Bass Reeves brought law to a territory of outlaws that spread out over seventy thousand square miles. He arrested more than three thousand offenders and delivered them to face judgment before Judge Parker, in Fort Smith, Arkansas.

    Designed for two-semester, beginning graduate courses in Mathematical Statistics, and for senior undergraduate Mathematics, Statistics, and Actuarial Science majors, this text retains its ongoing features and continues to provide students with background material.

    You'll get up to speed quickly with this straight forward guide, full of practical step-by-step visual instructions. Full color screen shots help you learn visually and quickly become productive. <br><br>From the best selling author of the Top 100 Tips for iPad.

    Reflecting the movement toward enterprise-wide business applications, this work focuses on teaching the general business manager how to use and manage IT technologies such as the Internet, Intranets, and Extranets for enterprise collaboration, and how IT contributes to competitive advantage, reengineering business processes, and decision-making.

    

    Research can be daunting, particularly for first-timers, but this indispensable book provides everything you need to know to prepare for research, draft and finalise a methodologically sound and well-written report or thesis, plus it warns you of potential pitfalls to prevent you wasting time on false trails.This new edition of "Doing Your Research Project" has been thoroughly updated and includes: Wider coverage of research ethics Clear guidelines on the differences between different types of research project New coverage of "Research diaries" New sources in further reading plus more information on internet research and the use of electronic resources Coverage of the latest information on plagiarism More examples to highlight key issues This bestselling book is an essential resource to help establish good practice for beginner researchers embarking on undergraduate or postgraduate study, and for professionals in such fields as social science, education, and health.

    The aim of a course in real analysis should be to challenge and improve mathematical intuition rather than to verify it. The philosophy of this book is to focus attention on questions which give analysis its inherent fascination.

    Polya, How to Solve It will show anyone in any field how to think straight. In lucid and appealing prose, Polya reveals how the mathematical method of demonstrating a proof or finding an unknown can be of help in attacking any problem that can be reasoned out--from building a bridge to winning a game of anagrams. Generations of readers have relished Polya's deft--indeed, brilliant--instructions on stripping away irrelevancies and going straight to the heart of the problem.

    The book is also ideal for university and third-level physics or engineering courses on solar photovoltaics, with exercises to check students' understanding and reinforce learning. It is the perfect companion to the Massive Open Online Course (MOOC) on Solar Energy (DelftX, ET.3034TU) presented by co-author Arno Smets. The course is available in English on the nonprofit open source edX.org platform, and in Arabic on edraak.org. Over 100,000 students have already registered for these MOOCs.

    "The London, Upton, Stone series has helped over 1,000,000 photography students capture their potential. After a very successful first edition, this second edition returns with the most up-to-date industry knowledge. Modeled after the long-running and widely used "A ""Short Course in Photography, " a brief text which presents the medium entirely in its most updated form.

    Others who have no intention of ever studying the subject have this notion that calculus is impossibly difficult unless you happen to be a direct descendant of Einstein. Well, the good news is that you can master calculus. It's not nearly as tough as its mystique would lead you to think. Much of calculus is really just very advanced algebra, geometry, and trig. It builds upon and is a logical extension of those subjects. If you can do algebra, geometry, and trig, you can do calculus.Calculus For Dummies is intended for three groups of readers:Students taking their first calculus course - If you're enrolled in a calculus course and you find your textbook less than crystal clear, this is the book for you. It covers the most important topics in the first year of calculus: differentiation, integration, and infinite series.Students who need to brush up on their calculus to prepare for other studies - If you've had elementary calculus, but it's been a couple of years and you want to review the concepts to prepare for, say, some graduate program, Calculus For Dummies will give you a thorough, no-nonsense refresher course.Adults of all ages who'd like a good introduction to the subject - Non-student readers will find the book's exposition clear and accessible. Calculus For Dummies takes calculus out of the ivory tower and brings it down to earth. This is a user-friendly math book. Whenever possible, the author explains the calculus concepts by showing you connections between the calculus ideas and easier ideas from algebra and geometry. Then, you'll see how the calculus concepts work in concrete examples. All explanations are in plain English, not math-speak. Calculus For Dummies covers the following topics and more:Real-world examples of calculus The two big ideas of calculus: differentiation and integration Why calculus works Pre-algebra and algebra review Common functions and their graphs Limits and continuity Integration and approximating area Sequences and series Don't buy the misconception. Sure calculus is difficult - but it's manageable, doable. You made it through algebra, geometry, and trigonometry. Well, calculus just picks up where they leave off - it's simply the next step in a logical progression.