In "Musimathics," Loy teaches us the tune, providing a friendly and spirited tour of the mathematics of music -- a commonsense, self-contained introduction for the nonspecialist reader. It is designed for musicians who find their art increasingly mediated by technology, and for anyone who is interested in the intersection of art and science.In Volume 1, Loy presents the materials of music (notes, intervals, and scales); the physical properties of music (frequency, amplitude, duration, and timbre); the perception of music and sound (how we hear); and music composition. Calling himself "a composer seduced into mathematics," Loy provides answers to foundational questions about the mathematics of music accessibly yet rigorously. The examples given are all practical problems in music and audio.Additional material can be found at http: //www.musimathics.com.

    Students, researchers, historians, specialists — in short, everyone with an interest in mathematics — will find it engrossing and stimulating.Beginning with the ancient Near East, the author traces the ideas and techniques developed in Egypt, Babylonia, China, and Arabia, looking into such manuscripts as the Egyptian Papyrus Rhind, the Ten Classics of China, and the Siddhantas of India. He considers Greek and Roman developments from their beginnings in Ionian rationalism to the fall of Constantinople; covers medieval European ideas and Renaissance trends; analyzes 17th- and 18th-century contributions; and offers an illuminating exposition of 19th century concepts. Every important figure in mathematical history is dealt with — Euclid, Archimedes, Diophantus, Omar Khayyam, Boethius, Fermat, Pascal, Newton, Leibniz, Fourier, Gauss, Riemann, Cantor, and many others.For this latest edition, Dr. Struik has both revised and updated the existing text, and also added a new chapter on the mathematics of the first half of the 20th century. Concise coverage is given to set theory, the influence of relativity and quantum theory, tensor calculus, the Lebesgue integral, the calculus of variations, and other important ideas and concepts. The book concludes with the beginnings of the computer era and the seminal work of von Neumann, Turing, Wiener, and others."The author's ability as a first-class historian as well as an able mathematician has enabled him to produce a work which is unquestionably one of the best." — Nature Magazine.

    Since the late 19th century, the Foster family had been hand-making running shoes, supplying the likes of Eric Liddell and Harold Abrahams - later immortalised in the film Chariots of Fire - as well as providing boots to most Football League clubs. But a family feud between Foster's father and uncle about the direction of their business led to Joe and his brother Jeff setting up a new company, inspired by the success of Adidas and Puma, and so Reebok was born. At first, money was so short that Joe and his wife had to live in their rundown factory, while the machinery that made the shoes was placed around the edge of the floor, because it was so weak it could have collapsed if they'd been positioned in the middle. But, from this inauspicious start, a major new player in the sports equipment field began to emerge, inspired by Joe's marketing vision. By the 1980s, Reebok had become a global phenomenon, when they were the first to latch onto the potential of the aerobics craze inspired by Jane Fonda. Soon, Reeboks were being seen on Hollywood red carpets and even in the film Aliens , where Sigourney Weaver wore a pair of Reebok Alien Stompers.  Like the international bestseller Shoe Dog, by Nike's Phil Knight, Shoemaker is a powerful tale of triumph against all the odds, revealing the challenges and sacrifices that go into creating a world-beating brand; it is also the story of how a small local business can transform itself, with the right products and the right vision, into something much, much bigger.

    Ross I.S. Zbar spent his career as a plastic surgeon, in the US as well as abroad in developing countries, mending disease- and trauma-related deformities--and he was never hesitant to make his voice heard as an advocate for better patient care.Then, on a warm December day in 2018, Ross suffered a trauma that nearly took his life, putting him into the hands of his profession in a way he never anticipated. While his life was ultimately saved, his journey to wellness within the conventional medical establishment--from three weeks in the ICU to in-patient rehab--was nothing short of nightmarish. Frequently sedated and physically restrained, he was inundated with mental, emotional, and sensory evidence of an industry gone haywire, experiencing clearly from the patient side what he had only touched on as an advocate.Vowing to be an even stronger voice for change, Ross used the power of his mind to recover faster than any of his doctors predicted. Floating Feathers not only recounts his compelling story but elucidates a thoughtful and authoritative critical call to the members of his beloved profession for a massive overhaul."We possess the technology and the brilliant minds to motivate this level of sweeping change so desperately required," he says. "We simply need to champion it as a non-negotiable priority."This profoundly personal yet overarchingly relative book endeavors to be a vital first step toward that goal.

    Julia Diggins masterfully recreates the atmosphere of ancient times, when men, using three simple tools, the string, the straightedge, and the shadow, discovered the basic principles and constructions of elementary geometry. Her book reveals how these discoveries related to the early civilizations of Mesopotamia, Egypt, and Greece.The fabric of the story is woven out of archeological and historical records and legends about the major men of mathematics. By reconstructing the events as they might have happened, Diggins enables the attentive reader to easily follow the pattern of reasoning that leads to an ingenious proof of the Pythagorean theorem, an appreciation of the significance of the Golden Mean in art and architecture, and the construction of the five regular solids.Out of print for 34 years, Julia Diggins' classic book is back and is a must-read for middle school students or for parents helping their children through their first geometry course. You will be fascinated with the graphic illustrations and written depiction of how the knowledge and wisdom of so many cultures helped shape our civilization today. This book is popular with teachers and parents who use Jamie York's Making Math Meaningful curriculum books.

    Fundamentals Of Mathematical Statistics is written by SC Gupta and VK Kapoor and published by SULTAN CHAND & SONS, Delhi.

    The book begins with an introduction to the language of statistics and then covers descriptive statistics and inferential statistics. Throughout, the author offers readers:- Difficulty Rating Index for each chapter′s material- Tips for doing and thinking about a statistical technique- Top tens for everything from the best ways to create a graph to the most effective techniques for data collection- Steps that break techniques down into a clear sequence of procedures- SPSS tips for executing each major statistical technique- Practice exercises at the end of each chapter, followed by worked out solutions.The book concludes with a statistical software sampler and a description of the best Internet sites for statistical information and data resources. Readers also have access to a website for downloading data that they can use to practice additional exercises from the book. Students and researchers will appreciate the book′s unhurried pace and thorough, friendly presentation.

    Organized around the central concept of a vector space, the book includes numerous physical applications in the body of the text as well as many problems of a physical nature. It is also one of the purposes of this book to introduce the physicist to the language and style of mathematics as well as the content of those particular subjects with contemporary relevance in physics.Chapters 1 and 2 are devoted to the mathematics of classical physics. Chapters 3, 4 and 5 — the backbone of the book — cover the theory of vector spaces. Chapter 6 covers analytic function theory. In chapters 7, 8, and 9 the authors take up several important techniques of theoretical physics — the Green's function method of solving differential and partial differential equations, and the theory of integral equations. Chapter 10 introduces the theory of groups. The authors have included a large selection of problems at the end of each chapter, some illustrating or extending mathematical points, others stressing physical application of techniques developed in the text.Essentially self-contained, the book assumes only the standard undergraduate preparation in physics and mathematics, i.e. intermediate mechanics, electricity and magnetism, introductory quantum mechanics, advanced calculus and differential equations. The text may be easily adapted for a one-semester course at the graduate or advanced undergraduate level.

    Aczel turns his sights on probability theory -- the branch of mathematics that measures the likelihood of a random event. He explains probability in clear, layman's terms, and shows its practical applications. What is commonly called luck has mathematical roots and in Chance, you'll learn to increase your odds of success in everything from true love to the stock market. For thousands of years, the twin forces of chance and mischance have beguiled humanity like none other. Why does fortune smile on some people, and smirk on others? What is luck, and why does it so often visit the undeserving? How can we predict the random events happening around us? Even better, how can we manipulate them? In this delightful and lucid voyage through the realm of the random, Dr. Aczel once again makes higher mathematics intelligible to us.

    Focused on helping students understand and construct proofs and expanding their mathematical maturity, this best-selling text is an accessible introduction to discrete mathematics. Johnsonbaugh's algorithmic approach emphasizes problem-solving techniques. The Seventh Edition reflects user and reviewer feedback on both content and organization.

    And you have no idea what you signed up for. Or maybe you've been a stepmom for a while now, but things are getting you down. Who do you turn to for help? Where is the stepmothering support group that'll give you the advice you need? Who actually gets how hard being a stepmom can be?We do. We are the women who have chosen stepmotherhood and lived to tell the tale. This guide holds our solutions to help you:- Brave the crazy ex demands- Overcome the financial hurdles of a blended family- Be prepared for the legal battles and custody arrangements- Handle disrespectful children- Nourish your relationship- Manuever the emotional breakdowns of stepmotherhood- Build your own stepmom's club- Understand why you need your partner to have your backWritten by stepmoms for stepmoms, these tips, anecdotes, and words of advance will help you find success and support within your new family.We are the Stepmoms' Club --your club --and we're here to help you.

    There are equally many advanced textbooks which delve into the far reaches of statistical theory, while bypassing practical applications. But between these two approaches is an unfilled gap, in which theory and practice merge at an intermediate level. Professor M. G. Bulmer's Principles of Statistics, originally published in 1965, was created to fill that need. The new, corrected Dover edition of Principles of Statistics makes this invaluable mid-level text available once again for the classroom or for self-study.Principles of Statistics was created primarily for the student of natural sciences, the social scientist, the undergraduate mathematics student, or anyone familiar with the basics of mathematical language. It assumes no previous knowledge of statistics or probability; nor is extensive mathematical knowledge necessary beyond a familiarity with the fundamentals of differential and integral calculus. (The calculus is used primarily for ease of notation; skill in the techniques of integration is not necessary in order to understand the text.)Professor Bulmer devotes the first chapters to a concise, admirably clear description of basic terminology and fundamental statistical theory: abstract concepts of probability and their applications in dice games, Mendelian heredity, etc.; definitions and examples of discrete and continuous random variables; multivariate distributions and the descriptive tools used to delineate them; expected values; etc. The book then moves quickly to more advanced levels, as Professor Bulmer describes important distributions (binomial, Poisson, exponential, normal, etc.), tests of significance, statistical inference, point estimation, regression, and correlation. Dozens of exercises and problems appear at the end of various chapters, with answers provided at the back of the book. Also included are a number of statistical tables and selected references.

    The images were taken when Banksy joined Bristol's radical football team The Easton Cowboys on a tour of Mexico to play football against the Zapatista freedom fighters. The new edition also contains sections on the Banksy vs Bristol Museum show, Exit Through The Gift Shop, The Tesco Value Petrol Bomb, an interview with John Nation and more. The book is a celebration of Banksy's street art in his home city of Bristol and places him in the context of 3D, John Nation from the Barton Hill Youth Club, Inkie, Nick Walker and the other artists and musicians who were instrumental in linking Bristol to the original New York hip-hop scene. It is the most revealing account of Banksy's formative years and contains more than one hundred images of his Bristol art, as well as pictures of Banksy at work, many of which have never been published before. Steve Wright, traces Banksy's roots back to the rave culture of the Nineties and draws a rounded picture of an artist who is most famous for being anonymous.

    Never before in history have we been able to acquire, record, communicate, and use information in so many different forms. Never before have we had access to such vast quantities of data of every kind. This revolution goes far beyond the limitless content that fills our lives, because information also underlies our understanding of ourselves, the natural world, and the universe. It is the key that unites fields as different as linguistics, cryptography, neuroscience, genetics, economics, and quantum mechanics. And the fact that information bears no necessary connection to meaning makes it a profound puzzle that people with a passion for philosophy have pondered for centuries.Table of ContentsLECTURE 1The Transformability of Information 4LECTURE 2Computation and Logic Gates 17LECTURE 3Measuring Information 26LECTURE 4Entropy and the Average Surprise 34LECTURE 5Data Compression and Prefix-Free Codes 44LECTURE 6Encoding Images and Sounds 57LECTURE 7Noise and Channel Capacity 69LECTURE 8Error-Correcting Codes 82LECTURE 9Signals and Bandwidth 94LECTURE 10Cryptography and Key Entropy 110LECTURE 11Cryptanalysis and Unraveling the Enigma 119LECTURE 12Unbreakable Codes and Public Keys 130LECTURE 13What Genetic Information Can Do 140LECTURE 14Life’s Origins and DNA Computing 152LECTURE 15Neural Codes in the Brain 169LECTURE 16Entropy and Microstate Information 185LECTURE 17Erasure Cost and Reversible Computing 198LECTURE 18Horse Races and Stock Markets 213LECTURE 19Turing Machines and Algorithmic Information 226LECTURE 20Uncomputable Functions and Incompleteness 239LECTURE 21Qubits and Quantum Information 253LECTURE 22Quantum Cryptography via Entanglement 266LECTURE 23It from Bit: Physics from Information 281LECTURE 24The Meaning of Information 293

    This 8-hour free course introduced the study of philosophy and the methods employed by The Open University in teaching philosophy.