. . like a pendulum? These may not look like math questions, but they are-because they all have to do with patterns. And mathematics, at heart, is the study of patterns. That realization changed Eddie Woo's life-by turning the "dry" subject he dreaded in high school into a boundless quest for discovery. Now an award-winning math teacher, Woo sees patterns everywhere: in the "branches" of blood vessels and lightning, in the growth of a savings account and a sunflower, even in his morning cup of tea! Here are twenty-six bite-size chapters on the hidden mathematical marvels that encrypt our email, enchant our senses, and even keep us alive-from the sine waves we hear as "music" to the mysterious golden ratio. This book will change your mind about what math can be. We are all born mathematicians-and It's a Numberful World.

    This guide, which can be used with any text or can stand alone, contains at the beginning of each chapter a list of key definitions, a summary of major concepts, step by step solutions to dozens of problems, and additional practice problems.

    Book by Waring, Chris

    Even after more than three centuries and the revolutions of Einsteinian relativity and quantum mechanics, Newtonian physics continues to account for many of the phenomena of the observed world, and Newtonian celestial dynamics is used to determine the orbits of our space vehicles.This completely new translation, the first in 270 years, is based on the third (1726) edition, the final revised version approved by Newton; it includes extracts from the earlier editions, corrects errors found in earlier versions, and replaces archaic English with contemporary prose and up-to-date mathematical forms. Newton's principles describe acceleration, deceleration, and inertial movement; fluid dynamics; and the motions of the earth, moon, planets, and comets. A great work in itself, the Principia also revolutionized the methods of scientific investigation. It set forth the fundamental three laws of motion and the law of universal gravity, the physical principles that account for the Copernican system of the world as emended by Kepler, thus effectively ending controversy concerning the Copernican planetary system.The illuminating Guide to the Principia by I. Bernard Cohen, along with his and Anne Whitman's translation, will make this preeminent work truly accessible for today's scientists, scholars, and students.

    

    BooklistLearn to use the most important codes and methods of secret communication in use since ancient times. Cipher and decipher codes used by spies. Explore the famous codes that changed the fate of nations and political leaders. And enjoy hours of fun experimenting with cryptography ― the science of secret writing. Beginning with simple letter substitutions and transposition ciphers, world-famous science writer Martin Gardner explains how to break complicated polyalphabetical ciphers and codes worked with grids, squares, triangles, and charts. You'll learn codes that are keyed to typewriters and telephone dials . . . even codes that use playing cards, knots, and swizzle sticks. Experiment with invisible writing ― inks that glow in black light and turn red under heat ― and explore the possibilities of sending messages through outer space to unknown worlds. Using this book, you can solve the historically famous Playfair Cipher used by Australia in World War II, the Pigpen Cipher used by Confederate soldiers during the Civil War, Thomas Jefferson's Wheel Cipher, the Beaufort system used by the British Royal Navy, codes devised by authors for heroes in literature ― Sherlock Holmes, Captain Kidd, and the Shadow. And you will enjoy experimenting with bizarre methods of message sending ― the Dot Code, Knot Code, Swizzle Code, and more. Young cryptanalysts, cipher fans, and puzzlists of all ages will find hours of intrigue and challenge in Codes, Ciphers and Secret Writing. "A stimulating must for the intermediate cryptographer." ― The Kirkus Reviews

    Full of insights, arguments and philosophical perspectives, the book covers an amazing array of topics. Beginning in antiquity with Democritus, it progresses through logic and set theory, computability and complexity theory, quantum computing, cryptography, the information content of quantum states and the interpretation of quantum mechanics. There are also extended discussions about time travel, Newcomb's Paradox, the anthropic principle and the views of Roger Penrose. Aaronson's informal style makes this fascinating book accessible to readers with scientific backgrounds, as well as students and researchers working in physics, computer science, mathematics and philosophy.

    The series is scheduled to appear on A&E in the U.S. this fall. "Sharpe's Victory" relates the stories of all 14 films with on-set anecdotes and detailed historical information on Sharpe's battles and the military world leading up to Waterloo.130 color and b&w illustrations.

    The book emphasizes a general introduction to probability theory and provides a detailed discussion of specific designs and analyses that are typically encountered in ecology and environmental science. Appropriate for use as either a stand-alone or supplementary text for upper-division undergraduate or graduate courses in ecological and environmental statistics, ecology, environmental science, environmental studies, or experimental design, the Primer also serves as a resource for environmental professionals who need to use and interpret statistics daily but have little or no formal training in the subject.

    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.

    This popular student textbook has been revised and updated in order to provide clear explanations of the subject matter, permitting more classroom time to be spent in problem solving, applications or explanations of the most difficult points.

    of the APA manual (2nd printing) < < < This handbook is ideal for preparing undergraduate essays. It was specifically designed with the average student's needs in mind. The book is intended to cover the vast majority of situations that the normal student will encounter while writing a college essay. Organized for speed and brevity, the book is primarily a concentrated, up-to-date guide on APA format (11 pages) and documentation requirements (12 pages In-Text, 19 pages References) with a heavy emphasis on examples and visual aids (90 to be exact). Additionally the book contains pointers on how to get started, what to document, what notes to take (by source type), and how to handle quotes of varying length. All of this in a book designed to fit in a shirt pocket. Product Dimensions: 60 Pages - 5 5/16" x 3 3/4" x .166 " Continuously Updated - Coincides with most recent APA standards (APA Manual 6th Edition) Last Update 6/2/10

    In it, Russell offers a nontechnical, undogmatic account of his philosophical criticism as it relates to arithmetic and logic. Rather than an exhaustive treatment, however, the influential philosopher and mathematician focuses on certain issues of mathematical logic that, to his mind, invalidated much traditional and contemporary philosophy.In dealing with such topics as number, order, relations, limits and continuity, propositional functions, descriptions, and classes, Russell writes in a clear, accessible manner, requiring neither a knowledge of mathematics nor an aptitude for mathematical symbolism. The result is a thought-provoking excursion into the fascinating realm where mathematics and philosophy meet — a philosophical classic that will be welcomed by any thinking person interested in this crucial area of modern thought.

    It's about the broken, wrinkled, wiggly world - the uneven shapes of nature, unlike the idealized forms of Euclidean geometry. We see fractals everywhere; indeed we are fractal! Fractal Geometry is an extension of classical geometry. Using computers, it can make precise models of physical structures - from ferns to galaxies. Fractal geometry is a new language. Once you speak it, you can describe the shape of cloud as precisely as an architect can describe a house.

    A rich source of information for readers of all ages, this book is divided into two sections, first looking at major sources of symbols (basic shapes, colors and numbers, the natural world), then, placing symbols in context of mythologies and religions, the human life cycle, people and culture, and symbol systems. Clear cross-referencing illuminates connections between symbols, while beautiful artwork and photography make this a collector's edition to treasure.