Feynman gave his famous course on computation at the California Institute of Technology, he asked Tony Hey to adapt his lecture notes into a book. Although led by Feynman, the course also featured, as occasional guest speakers, some of the most brilliant men in science at that time, including Marvin Minsky, Charles Bennett, and John Hopfield. Although the lectures are now thirteen years old, most of the material is timeless and presents a “Feynmanesque” overview of many standard and some not-so-standard topics in computer science such as reversible logic gates and quantum computers.

    

    And then we wonder why software is notorious for being delivered late and full of bugs, while other engineers routinely deliver finished bridges, automobiles, electrical appliances, etc., on time and with only minor defects. This book sets out to redress this imbalance. Members of my advanced development team at Adobe who took the course based on the same material all benefited greatly from the time invested. It may appear as a highly technical text intended only for computer scientists, but it should be required reading for all practicing software engineers." --Martin Newell, Adobe Fellow"The book contains some of the most beautiful code I have ever seen." --Bjarne Stroustrup, Designer of C++"I am happy to see the content of Alex's course, the development and teaching of which I strongly supported as the CTO of Silicon Graphics, now available to all programmers in this elegant little book." --Forest Baskett, General Partner, New Enterprise Associates"Paul's patience and architectural experience helped to organize Alex's mathematical approach into a tightly-structured edifice--an impressive feat!" --Robert W. Taylor, Founder of Xerox PARC CSL and DEC Systems Research Center Elements of Programming provides a different understanding of programming than is presented elsewhere. Its major premise is that practical programming, like other areas of science and engineering, must be based on a solid mathematical foundation. The book shows that algorithms implemented in a real programming language, such as C++, can operate in the most general mathematical setting. For example, the fast exponentiation algorithm is defined to work with any associative operation. Using abstract algorithms leads to efficient, reliable, secure, and economical software.This is not an easy book. Nor is it a compilation of tips and tricks for incremental improvements in your programming skills. The book's value is more fundamental and, ultimately, more critical for insight into programming. To benefit fully, you will need to work through it from beginning to end, reading the code, proving the lemmas, and doing the exercises. When finished, you will see how the application of the deductive method to your programs assures that your system's software components will work together and behave as they must.The book presents a number of algorithms and requirements for types on which they are defined. The code for these descriptions--also available on the Web--is written in a small subset of C++ meant to be accessible to any experienced programmer. This subset is defined in a special language appendix coauthored by Sean Parent and Bjarne Stroustrup.Whether you are a software developer, or any other professional for whom programming is an important activity, or a committed student, you will come to understand what the book's experienced authors have been teaching and demonstrating for years--that mathematics is good for programming, and that theory is good for practice.

    Our eyes and minds are drawn to symmetrical objects, from the pyramid to the pentagon. Of fundamental significance to the way we interpret the world, this unique, pervasive phenomenon indicates a dynamic relationship between objects. In chemistry and physics, the concept of symmetry explains the structure of crystals or the theory of fundamental particles; in evolutionary biology, the natural world exploits symmetry in the fight for survival; and symmetry—and the breaking of it—is central to ideas in art, architecture, and music.Combining a rich historical narrative with his own personal journey as a mathematician, Marcus du Sautoy takes a unique look into the mathematical mind as he explores deep conjectures about symmetry and brings us face-to-face with the oddball mathematicians, both past and present, who have battled to understand symmetry's elusive qualities. He explores what is perhaps the most exciting discovery to date—the summit of mathematicians' mastery in the field—the Monster, a huge snowflake that exists in 196,883-dimensional space with more symmetries than there are atoms in the sun.What is it like to solve an ancient mathematical problem in a flash of inspiration? What is it like to be shown, ten minutes later, that you've made a mistake? What is it like to see the world in mathematical terms, and what can that tell us about life itself? In Symmetry, Marcus du Sautoy investigates these questions and shows mathematical novices what it feels like to grapple with some of the most complex ideas the human mind can comprehend.

    Halpern is funny. He is handsome. He likes to laugh. I love Mr. Halpern. How can I top that? Who doesn't want to be funny, handsome, laugh all the time, and be loved by their students? What they don't know is I left a dreary cubicle job for the exciting, never boring life of a kindergarten teacher eight years ago and never looked back. I have seen and heard some crazy, hilarious, and even touching moments. Look at My Happy Rainbow is my account of the first few years working in a kindergarten classroom experiencing the day to day trials and tribulations and trying to see the world a little more through the eyes of a five-year-old. From the first time a child reached up to take my hand to learning the true value of zipping a coat, being a 'rooster in a world of hens' my unique perspective on teaching and children will (hopefully) warm your heart, make you laugh, and might even help you remember what it felt like to be in kindergarten. Warning: I have a very short attention span (this is why I'm so well suited to teach kindergarten). Some of the chapters are short. One is less than one page. I think this makes the book 'charming', but please know - this is not War and Peace.

    In this lively book of essays, Stephen Wolfram takes the reader along on some of his most surprising and engaging intellectual adventures in science, technology, artificial intelligence and language design.

    A man who against expedition orders drove his tractor to the South Pole; a man honoured around the world for his pioneering climbs yet who collapsed on more than one occasion on a mountain, and a man who gave so much to Nepal yet lost his family to its mountains.The author, Michael Gill, was a close friend of Hillary’s for nearly 50 years, accompanying him on many expeditions and becoming heavily involved in Hillary’s aid work building schools and hospitals in the Himalaya. During the writing of this book, Gill was granted access to a large archive of private papers and photos that were deposited in the Auckland museum after Hillary’s death in 2008. Building on this unpublished material, as well as his extensive personal experience, Michael Gill profiles a man whose life was shaped by both triumph and tragedy.Gill describes the uncertainties of the first 33 years of Hillary’s life, during which time he served in the New Zealand air force during the Second World War, as well as the background to the first ascent of Mount Everest in 1953, when Hillary and Tenzing Norgay became the first climbers to reach the summit – a feat that brought the pair instant worldwide fame. He reveals the loving relationship Hillary had with his wife Louise, in part through their touching letters to each other. Her importance to him during their 22 years of marriage only underlines the horror of her death, along with that of their youngest daughter, Belinda, in a plane crash in 1975. Hillary eventually pulled out of his subsequent depression to continue his life’s work in the Himalaya.Affectionate, but scrupulously fair, in Edmund Hillary – A Biography Michael Gill has gone further than anyone before to reveal the humanity of this remarkable man.

    

    . . Nothing less than a major contribution to the scientific culture of this world." — The New York Times Book ReviewThis major survey of mathematics, featuring the work of 18 outstanding Russian mathematicians and including material on both elementary and advanced levels, encompasses 20 prime subject areas in mathematics in terms of their simple origins and their subsequent sophisticated developement. As Professor Morris Kline of New York University noted, "This unique work presents the amazing panorama of mathematics proper. It is the best answer in print to what mathematics contains both on the elementary and advanced levels."Beginning with an overview and analysis of mathematics, the first of three major divisions of the book progresses to an exploration of analytic geometry, algebra, and ordinary differential equations. The second part introduces partial differential equations, along with theories of curves and surfaces, the calculus of variations, and functions of a complex variable. It furthur examines prime numbers, the theory of probability, approximations, and the role of computers in mathematics. The theory of functions of a real variable opens the final section, followed by discussions of linear algebra and nonEuclidian geometry, topology, functional analysis, and groups and other algebraic systems.Thorough, coherent explanations of each topic are further augumented by numerous illustrative figures, and every chapter concludes with a suggested reading list. Formerly issued as a three-volume set, this mathematical masterpiece is now available in a convenient and modestly priced one-volume edition, perfect for study or reference."This is a masterful English translation of a stupendous and formidable mathematical masterpiece . . ." — Social Science

    Are you also struggling with the same problems as other people who learn languages? Do you recognize any of these? Many of us have families, a full-time job, and problems finding enough time to study. It’s difficult to ensure that we study regularly and make progress in the new language. We try to force ourselves to study regularly, so we register for language courses and pay for access to Internet apps, but this artificial motivation becomes quickly a flash in the pan. When we try to study we don’t know how to do it efficiently. What techniques should we use? How can we remember the vocabulary? How do we deal with the grammar? We try different solutions, but none brings the desired results. Why is it that some people are able to master more than ten languages? How do the polyglots find the time? What do they do to learn any language in a matter of months? As a teenager, Konrad Jerzak vel Dobosz wanted to become a polyglot, but like most of us he needed to deal with the same challenges: lack of time, lack of an efficient method of learning, difficulties memorizing the vocabulary, lack of motivation and the fear of making mistakes. He decided to analyze the methods of well-known polyglots, including Heinrich Schliemann, Emil Krebs and Giuseppe Mezzofanti. He took a close look at the approaches proposed by modern language learning experts Richard Simcott, Luca Lampariello, Moses McCormick and Benny Lewis. This book, The Secrets of Polyglots is the result of his analysis of the methods developed by the greatest polyglots. You can find here the description of the techniques used by the biggest experts, and also a step-by-step method, which Konrad Jerzak vel Dobosz used himself to learn more than ten languages. The Secrets of Polyglots was written especially for people who: - Need to learn a foreign language, but don’t have much time to study - Have registered for language courses, but aren’t happy with the results - Learn by themselves, but want more efficient techniques - Want to learn several languages simultaneously, but don’t know how to - Desire to be able to master any foreign language in a couple of months The first part is a description of 17 extremely efficient techniques and concepts that will improve your language learning process. The second part explains, step-by-step, the learning system used by the author, including a practical example of how to apply all the “secrets” described in the first part. Testimonials: “I need to say that I skip all kind of self-help guide type of books. But ‘The Secrets of Polyglots’ grabbed immediately my attention and, after reading just a couple of pages, I knew that I needed to buy this book. And it was worth it, because it opened my eyes to many different aspects of language learning that I had ignored previously. The great advantage of this book is lack of catchy slogans promising us language fluency just after a month of study. Instead, the author delivers reliable and very useful knowledge on how to gradually learn vocabulary and grammar, and also how to find motivation and develop our linguistic skills. I myself used the advice from Konrad’s book, and I can proudly say that after 1.5 years of studying Portuguese, I began communicating fluently in this language.

    But in spirit, the title is apt, as the book does cover a much broader range of topics than a typical introductory book on mathematical statistics. This book is for people who want to learn probability and statistics quickly. It is suitable for graduate or advanced undergraduate students in computer science, mathematics, statistics, and related disciplines. The book includes modern topics like nonparametric curve estimation, bootstrapping, and clas- sification, topics that are usually relegated to follow-up courses. The reader is presumed to know calculus and a little linear algebra. No previous knowledge of probability and statistics is required. Statistics, data mining, and machine learning are all concerned with collecting and analyzing data. For some time, statistics research was con- ducted in statistics departments while data mining and machine learning re- search was conducted in computer science departments. Statisticians thought that computer scientists were reinventing the wheel. Computer scientists thought that statistical theory didn't apply to their problems. Things are changing. Statisticians now recognize that computer scientists are making novel contributions while computer scientists now recognize the generality of statistical theory and methodology. Clever data mining algo- rithms are more scalable than statisticians ever thought possible. Formal sta- tistical theory is more pervasive than computer scientists had realized.

    This ukulele primer book is the simplest, easiest, and most efficient way for absolute beginners to master a whole set-list worth of songs. Here's why: Step-by-step instruction AND videos are provided free with your purchase of this music book. You get 45 separate lessons: over 100 minutes of powerful video instruction! No matter your learning style, you can read, listen, or watch as you play along with your ukulele. Learn and master one easy skill at a time. With this innovative way to learn ukulele you'll steadily improve without getting frustrated or developing bad habits. You're learning from a Grammy Award nominated educator and former Harvard Master Class piano teacher. All songs are well-known, easy-to-learn folk songs so you can build your confidence and learn to play with ease. AND all songs (from Row Row Row Your Boat to Jingle Bells to This Land is Your Land) include: strum patterns, chord diagrams, sheet music, and lyrics — everything you need to make your 1st—and 21st—song sound perfect. So whether you read music already or are just searching for your personal Ukulele For Dummies, look no further! The 21 Songs in 6 Days ukulele songbook allows you to sing along, go back to review, and learn at your own pace with the FREE bonus online video instruction! It has all the essential elements you need to learn ukulele now. Make it easy to master the ukulele...grab your copy of this Amazon #1 Best Seller today! Complete Songlist: Are You Sleeping?Row, Row, Row Your BoatThree Blind MiceHave You Seen the Ghost of John?Hey, Ho, Nobody HomeAh, Poor BirdFrere JacquesChatter With the AngelsA Ram Sam SamShoo, Fly, Don't Bother Me (in F)Hush, Little Baby (in F)Oats, Peas, Beans and Barley Grow (in F)C, then G7 EtudeShoo, Fly, Don't Bother Me (in C)Hush, Little Baby (in C)Oats, Peas, Beans and Barley Grow (in C)He’s Got the Whole World in His HandsPolly Wolly DoodleJingle BellsThis Land Is Your LandFor He's a Jolly Good FellowOh, When the SaintsI've Been Working on the RailroadRed River Valley

    In The Universe and the Teacup, K. C. Cole demystifies mathematics and shows us-with humor and wonderfully accessible stories-why math need not be frightening. Using the O. J. Simpson trial, the bell curve, and Emmy Noether, the nineteenth-century woman scientist whose work was essential for Einstein's theory of relativity, Cole helps us see that more than just being a tool, math is a key to understanding the beauty of everything from rainbows to relativity.

    Yet unlike Einstein, with whom he formed a warm and abiding friendship, Gödel has long escaped all but the most casual scrutiny of his life.Stephen Budiansky’s Journey to the Edge of Reason is the first biography to fully draw upon Gödel’s voluminous letters and writings—including a never-before-transcribed shorthand diary of his most intimate thoughts—to explore Gödel’s profound intellectual friendships, his moving relationship with his mother, his troubled yet devoted marriage, and the debilitating bouts of paranoia that ultimately took his life. It also offers an intimate portrait of the scientific and intellectual circles in prewar Vienna, a haunting account of Gödel’s and Jewish intellectuals’ flight from Austria and Germany at the start of the Second World War, and a vivid re-creation of the early days of Princeton’s Institute for Advanced Study, where Gödel and Einstein both worked.Eloquent and insightful, Journey to the Edge of Reason is a fully realized portrait of the odd, brilliant, and tormented man who has been called the greatest logician since Aristotle, and illuminates the far-reaching implications of Gödel’s revolutionary ideas for philosophy, mathematics, artificial intelligence, and man’s place in the cosmos.