In ancient Greece, young Pythagoras discovers a special number pattern (the Pythagorean theorem) and uses it to solve problems involving right triangles.Book Details: Format: Paperback Publication Date: 4/1/2004 Pages: 32 Reading Level: Age 8 and Up

    Much of the book takes the form of a discussion between a teacher and his students. They propose various solutions to some mathematical problems and investigate the strengths and weaknesses of these solutions. Their discussion (which mirrors certain real developments in the history of mathematics) raises some philosophical problems and some problems about the nature of mathematical discovery or creativity. Imre Lakatos is concerned throughout to combat the classical picture of mathematical development as a steady accumulation of established truths. He shows that mathematics grows instead through a richer, more dramatic process of the successive improvement of creative hypotheses by attempts to 'prove' them and by criticism of these attempts: the logic of proofs and refutations.

    Who was Grace Hopper? A software tester, workplace jester, cherished mentor, ace inventor, avid reader, naval leader—AND rule breaker, chance taker, and troublemaker. Grace Hopper coined the term “computer bug” and taught computers to “speak English,” and throughout her life succeeded in doing what no one had ever done before. Delighting in difficult ideas and in defying expectations, the insatiably curious Hopper truly is “Amazing Grace” . . . and a role model for science- and math-minded girls and boys.

    As a student in Atlanta, Vernon Jordan had a summer job driving a white banker around town. During the man's afternoon naps, Jordan passed the time reading books, a fact that astounded his boss. "Vernon can read!" the man exclaimed to his relatives. Nearly fifty years later, Vernon Jordan, long-time civil rights leader, adviser and close friend to presidents and business leaders, remembers the sweeping struggles, changes, and dangers of black life during the civil rights revolution.After attending a predominantly white college in the Midwest and graduating from Howard University Law School, Jordan dedicated himself to the civil rights movement. He led the drive to register black voters in the South and was president of the National Urban League, one of the great civil rights organizations of the era, where he was instrumental in integrating American businesses and providing economic and social support to the expanding black middle class. He survived a white racist's assassination attempt and later became a pillar of America's legal, corporate, and political worlds.But Jordan's life was shaped in his early years, and this book is also a moving testament to the family whose support and courage provided the framework for his achievements. Vernon Can Read! chronicles a life of courage, pride, sacrifice, style, and accomplishment.

    Topics include: Trigonometric Identities & Equations, Circular Functions, and Polar Equations & Complex Numbers.

    By seeing his life or at least by seeing the portrait of his life as painted in the stories of those who knew him, a Master s life becomes a sketch of a path to Mastery. From stories shared by his son, this book paints a portrait of the famous Wing Chun Grand Master, Ip Man, providing a set of fifteen principles as a guide to mastery. While there are broad lessons to be learned from this portrait, the details must be savored. Many of the great figures of history are shrouded in the mists of aggrandizement, but here the details, the fine strokes of the portrait, have remained to show the humble seeker something about the life of a Master. Each chapter provides a principle or set of principles to contemplate. You will be richly rewarded if you seek to discern the principles and the man who strove to embody them. These stories and the principles drawn from them are commended to you for your benefit and learning and enjoyment. Let them guide you in your journey, but do not look for them to tell you every step. In this portrait are great treasures for the taking but not simply for the asking.

    From the movement of flocks of birds to the Internet, environmental sustainability, and market regulation, the study and understanding of complex non-linear systems has become highly influential over the last 30 years.In this Very Short Introduction, one of the leading figures in the field, John Holland, introduces the key elements and conceptual framework of complexity. From complex physical systems such as fluid flow and the difficulties of predicting weather, to complex adaptive systems such as the highly diverse and interdependent ecosystems of rainforests, he combines simple, well-known examples -- Adam Smith's pin factory, Darwin's comet orchid, and Simon's 'watchmaker' -- with an account of the approaches, involving agents and urn models, taken by complexity theory.ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.

    do it? How should you flip your mattress to get the maximum wear out of it? How does Google search the Internet? How many people should you date before settling down? Believe it or not, math plays a crucial role in answering all of these questions and more.Math underpins everything in the cosmos, including us, yet too few of us understand this universal language well enough to revel in its wisdom, its beauty — and its joy. This deeply enlightening, vastly entertaining volume translates math in a way that is at once intelligible and thrilling. Each trenchant chapter of The Joy of x offers an “aha!” moment, starting with why numbers are so helpful, and progressing through the wondrous truths implicit in π, the Pythagorean theorem, irrational numbers, fat tails, even the rigors and surprising charms of calculus. Showing why he has won awards as a professor at Cornell and garnered extensive praise for his articles about math for the New York Times, Strogatz presumes of his readers only curiosity and common sense. And he rewards them with clear, ingenious, and often funny explanations of the most vital and exciting principles of his discipline.Whether you aced integral calculus or aren’t sure what an integer is, you’ll find profound wisdom and persistent delight in The Joy of x.

    The framework of probabilistic graphical models, presented in this book, provides a general approach for this task. The approach is model-based, allowing interpretable models to be constructed and then manipulated by reasoning algorithms. These models can also be learned automatically from data, allowing the approach to be used in cases where manually constructing a model is difficult or even impossible. Because uncertainty is an inescapable aspect of most real-world applications, the book focuses on probabilistic models, which make the uncertainty explicit and provide models that are more faithful to reality.Probabilistic Graphical Models discusses a variety of models, spanning Bayesian networks, undirected Markov networks, discrete and continuous models, and extensions to deal with dynamical systems and relational data. For each class of models, the text describes the three fundamental cornerstones: representation, inference, and learning, presenting both basic concepts and advanced techniques. Finally, the book considers the use of the proposed framework for causal reasoning and decision making under uncertainty. The main text in each chapter provides the detailed technical development of the key ideas. Most chapters also include boxes with additional material: skill boxes, which describe techniques; case study boxes, which discuss empirical cases related to the approach described in the text, including applications in computer vision, robotics, natural language understanding, and computational biology; and concept boxes, which present significant concepts drawn from the material in the chapter. Instructors (and readers) can group chapters in various combinations, from core topics to more technically advanced material, to suit their particular needs.

    In Tammet's world, numbers are beautiful and mathematics illuminates our lives and minds. Using anecdotes, everyday examples, and ruminations on history, literature, and more, Tammet allows us to share his unique insights and delight in the way numbers, fractions, and equations underpin all our lives. Inspired by the complexity of snowflakes, Anne Boleyn's eleven fingers, or his many siblings, Tammet explores questions such as why time seems to speed up as we age, whether there is such a thing as an average person, and how we can make sense of those we love. Thinking In Numbers will change the way you think about math and fire your imagination to see the world with fresh eyes.

    The first biography of Pretty Boy Floyd, one of America's most notorious criminals, is a sweeping social history as well as a biography of this Depression-era, Robin Hood-like figure. 125 illustrations.

    These themes include mathematical reasoning, combinatorial analysis, discrete structures, algorithmic thinking, and enhanced problem-solving skills through modeling. Its intent is to demonstrate the relevance and practicality of discrete mathematics to all students. The Fifth Edition includes a more thorough and linear presentation of logic, proof types and proof writing, and mathematical reasoning. This enhanced coverage will provide students with a solid understanding of the material as it relates to their immediate field of study and other relevant subjects. The inclusion of applications and examples to key topics has been significantly addressed to add clarity to every subject. True to the Fourth Edition, the text-specific web site supplements the subject matter in meaningful ways, offering additional material for students and instructors. Discrete math is an active subject with new discoveries made every year. The continual growth and updates to the web site reflect the active nature of the topics being discussed. The book is appropriate for a one- or two-term introductory discrete mathematics course to be taken by students in a wide variety of majors, including computer science, mathematics, and engineering. College Algebra is the only explicit prerequisite.

    For the next 15 years, Trident Studios, was at the epicentre of the music industry, recording some of the era's greatest artists, from The Beatles and David Bowie to Elton John and Genesis. Trident also developed their own talent, including a raw and demanding four-piece band called Queen. After an acrimonious split with Trident, their volatile leader Freddie Mercury famously dedicated a song to Norman: Death On Two Legs. In Life On Two Legs, this legendary music figure breaks his forty year silence and sets the record straight, not just about Freddie and Queen but also about artists from John Lennon and Marc Bolan to Harry Nilsson and Phil Collins and the recording of such classics as Hey Jude by The Beatles and Space Oddity by David Bowie. Funny, fascinating and occasionally irreverent - and with a foreword by Sir Paul McCartney - this is an unmissable memoir that brings to vivid life some of rock's greatest characters as well as the era and the studio that produced some of its classic music.

    In this narrative, Walter Isaacson explains how his mind worked and the mysteries of the universe that he discovered.

    In this unconventional introduction, physicist Leonard Susskind and hacker-scientist George Hrabovsky offer a first course in physics and associated math for the ardent amateur. Unlike most popular physics books—which give readers a taste of what physicists know but shy away from equations or math—Susskind and Hrabovsky actually teach the skills you need to do physics, beginning with classical mechanics, yourself. Based on Susskind's enormously popular Stanford University-based (and YouTube-featured) continuing-education course, the authors cover the minimum—the theoretical minimum of the title—that readers need to master to study more advanced topics.An alternative to the conventional go-to-college method, The Theoretical Minimum provides a tool kit for amateur scientists to learn physics at their own pace.