From the early Greek influences to the Middle Ages and the Renaissance to the end of the 19th century, trace the fascinating foundation of mathematics as it developed through the ages. Aristotle, Galileo, Kepler, Newton: you know the names. Now here's what they really did, and the effect their discoveries had on our culture, all explained in a way the layperson can understand. Begin with the basis of arithmetic (Plato and the introduction of geometry), and discover why the use of Arabic numerals was critical to the development of both commerce and science. The development of calculus made space travel a reality, while the abacus prefigured the computer. The greats examined in depth include Leonardo da Vinci, a brilliant mathematician as well as artist; Pascal, who laid out the theory of probabilities; and Fermat, whose intriguing theory has only recently been solved.

    It provides a transition from elementary calculus to advanced courses in real and complex function theory and introduces the reader to some of the abstract thinking that pervades modern analysis.

    For years, millions of people have used this great program. Especially since it is imbedded in all the new phones. Of course, there is a way to disable autocorrect if you really want to. However, not many people do. Why would they? It is just too hilarious when it happens!

    

    The approach taken here uses elementary versions of modern methods found in sophisticated mathematics. The formal prerequisites include only a term of linear algebra, a nodding acquaintance with the notation of set theory, and a respectable first-year calculus course (one which at least mentions the least upper bound (sup) and greatest lower bound (inf) of a set of real numbers). Beyond this a certain (perhaps latent) rapport with abstract mathematics will be found almost essential.

    Elite organizations such as army special forces, SWAT teams , the marines and more, all require a minimum amount of pull-ups as a prerequisite for anyone to join their training programs.But, although pull-ups target first of all the back, you usually end up feeling them only on your arms, right? Heck, your neck feels tense every time you perform them and you wonder what you are doing wrong.The truth is that there is more to pull ups than just lifting yourself up and down from a bar. It's quite common for people to be doing a ton of reps without any impressive results. This book will first of all teach you that you have to bring your reps down while polishing your technique. "Huh? Lower my reps? Isn't that bad for building muscle?"When it comes to pull-ups, no it's not. Pull-ups are a completely different animal than most of the exercises out there. Eight good reps are better than fifteen crappy ones as you will learn.Doing your reps the wrong way can have you wondering why your back doesn't grow. Learn to do them the right way and people will go "Damn!" when they see you topless. How to Carve a Gymnast's Back with Pull Ups gives you all the tools you will ever need in order to turn this exercise into the muscle building monster it really is. There are 6 techniques in the book to help you maximize the muscle growth of your back during pull ups:1.Learn how to activate your lats. First you got to feel your lats before even starting to do a single rep. That way you make every rep count and you also release tension from your neck and shoulders.2.Switch your back muscles on before you pull. This is a middle step between hanging and pulling and many people neglect it along with the extra back activation it provides. 3.Lift yourself up without excessively using your arms. Ever felt your biceps and forearms pumped up from pull ups but not your back? By having your elbows close to your ribs as you pull, you can say hello to your new, pumped back!4.Bring your chest to the bar for maximum contraction of the lats. Ninety-nine out of a hundred people can't do this and their back growth clearly indicates it. This is the technique that takes your back from "meh, OK" to "WOW!".5.Control your body on the way down. An uncontrollable rep is a rep wasted. You damage your joints and even miss on extra back growth.6.Visualize your lats contracting. This is the cherry on top of the cake and you get to eat it too. Internal cues like visualizing have helped many people increase exercise performance and you can now do the same with your pull ups.You can start performing these techniques immediately, wherever you are and begin witnessing your back become as powerful and muscular as an Olympic Gymnast's. Don’t hesitate to pick up your copy today by clicking the BUY NOW button at the top of this page! P.S. Don't blame me when people start complaining that you're blocking their sun once you master these techniques.. You've been warned.

    By the mid-1990s the old school grizzled traders had been replaced by a new breed of quantitative analysts, applying mathematics to the "art" of trading and making of it a science. A similar phenomenon is happening in poker. The grizzled "road gamblers" are being replaced by a new generation of players who have challenged many of the assumptions that underlie traditional approaches to the game. One of the most important features of this new approach is a reliance on quantitative analysis and the application of mathematics to the game. This book provides an introduction to quantitative techniques as applied to poker and to a branch of mathematics that is particularly applicable to poker, game theory, in a manner that makes seemingly difficult topics accessible to players without a strong mathematical background.

    Lorentz.

    Each chapter includes many illustrative examples to assist the reader. The book emphasizes methods for finding solutions to differential equations. It provides many abundant exercises, applications, and solved examples with careful attention given to readability. Elementary Differential Equations includes a thorough treatment of power series techniques. In addition, the book presents a classical treatment of several physical problems to show how Fourier series become involved in the solution of those problems. The eighth edition of Elementary Differential Equations has been revised to include a new supplement in many chapters that provides suggestions and exercises for using a computer to assist in the understanding of the material in the chapter. It also now provides an introduction to the phase plane and to different types of phase portraits. A valuable reference book for readers interested in exploring the technological and other applications of differential equations.

    Pure Mathematics 1 corresponds to unit P1. It covers quadratics, functions, coordinate geometry, circular measure, trigonometry, vectors, series, differentiation and integration.

    

    Features exceptionally clear explanations and descriptions, step-by-step examples, more than 50 practical applications, over 2000 easy-to-challenging practice problems, and comprehensive coverage of essentials. PSpice, OrCAd version 9.2 Lite Edition, Multisims 2001 version of Electronics Workbench, and MathCad software references and examples are used throughout. Computer programs (C++, BASIC and PSpice) are printed in color, as they run, at the point in the book where they are discussed. Current and Voltage. Resistance. Ohm's Law, Power, and Energy. Series Circuits. Parallel Circuits. Series-Parallel Networks. Methods of Analysis & Selected Topics. Network Theorems. Capacitors. Magnetic Circuits. Inductors. Sinusodial Alternating Waveforms. The Basic Elements and Phasors. Series and Parallel ac Circuits. Series-Parallel ac Networks. Methods of Analysis and Related Topics. Network Theorems (ac). Power (ac). Resonance. Transformers. Polyphase Systems. Decibels, Filters, and Bode Points. Pulse Waveforms and the R-C Response. Nonsinusodial Circuits. System Analysis: An Introduction. For those working in electronic technology.

     In MATH WITH BAD DRAWINGS, Ben Orlin answers math's three big questions: Why do I need to learn this? When am I ever going to use it? Why is it so hard? The answers come in various forms-cartoons, drawings, jokes, and the stories and insights of an empathetic teacher who believes that math should belong to everyone.Eschewing the tired old curriculum that begins in the wading pool of addition and subtraction and progresses to the shark infested waters of calculus (AKA the Great Weed Out Course), Orlin instead shows us how to think like a mathematician by teaching us a new game of Tic-Tac-Toe, how to understand an economic crisis by rolling a pair of dice, and the mathematical reason why you should never buy a second lottery ticket. Every example in the book is illustrated with his trademark "bad drawings," which convey both his humor and his message with perfect pitch and clarity. Organized by unconventional but compelling topics such as "Statistics: The Fine Art of Honest Lying," "Design: The Geometry of Stuff That Works," and "Probability: The Mathematics of Maybe," MATH WITH BAD DRAWINGS is a perfect read for fans of illustrated popular science.

    presents some of the most famous mathematical proofs in a charming book that will appeal to nonmathematicians and math experts alike. Grasp in an instant why Pythagoras's theorem must be correct. Follow the ancient Chinese proof of the volume formula for the frustrating frustum, and Archimedes' method for finding the volume of a sphere. Discover the secrets of pi and why, contrary to popular belief, squaring the circle really is possible. Study the subtle art of mathematical domino tumbling, and find out how slicing cones helped save a city and put a man on the moon.

    But few know the palace intrigue behind their long-standing triangular relationship. Going behind the headlines, documentaries and mini-series, PRINCE ANDREW exposes for the first time the unknown details of the Epstein scandal behind secretive palace gates and how it impacted on the power struggle between Andrew and his older brother Prince Charles.Rife with machinations and plots, it paints a rare and riveting, insider picture of vice and rarified daily life at the royal court. It is an unbelievable story how a boy from Coney Island befriended the world's foremost royal family. PRINCE ANDREW casts a truly eye-watering light on one of the dirtiest stories of our time, giving the reader much-needed forensic insight into all the facts, allegations and counter-allegations.