Describes how fractals were discovered, explains their unique properties, and discusses the mathematical foundation of fractals.

    Describing experiments that show that human infants have a rudimentary number sense, Stanislas Dehaene suggests that this sense is as basic as our perception of color, and that it is wired into the brain. Dehaene shows that it was the invention of symbolic systems of numerals that started us on the climb to higher mathematics. A fascinating look at the crossroads where numbers and neurons intersect, The Number Sense offers an intriguing tour of how the structure of the brain shapes our mathematical abilities, and how our mathematics opens up a window on the human mind.

    Written by two of the field's true pioneers, Spacetime Physics can extend and enhance coverage of specialty relativity in the classroom. This thoroughly up-to-date, highly accessible overview covers microgravity, collider accelerators, satellite probes, neutron detectors, radioastronomy, and pulsars.  The chapter on general relativity with new material on gravity waves, black holes, and cosmology.

    With an accessible and lively writing style, it introduces modern techniques to what can often be a formal and intimidating subject. Readers are led from the physics of flat spacetime (special relativity), through the intricacies of differential geometry and Einstein's equations, and on to exciting applications such as black holes, gravitational radiation, and cosmology.

    It bridges the gap between the natural sciences and music theory and, nearly a century after its first publication, it is still a standard text for the study of physiological acoustics — the scientific basis of musical theory. It is also a treasury of knowledge for musicians and students of music and a major work in the realm of aesthetics, making important contributions to physics, anatomy, and physiology in its establishment of the physical theory of music. Difficult scientific concepts are explained simply and easily for the general reader.The first two parts of this book deal with the physics and physiology of music. Part I explains the sensation of sound in general, vibrations, sympathetic resonances, and other phenomena. Part II cover combinational tones and beats, and develops Helmholtz's famous theory explaining why harmonious chords are in the ratios of small whole numbers (a problem unsolved since Pythagoras).Part III contains the author's theory on the aesthetic relationship of musical tones. After a survey of the different principles of musical styles in history (tonal systems of Pythagoras, the Church, the Chinese, Arabs, Persians, and others), he makes a detailed study of our own tonal system (keys, discords, progression of parts).Important points in this 576-page work are profusely illustrated with graphs, diagrams, tables, and musical examples. 33 appendices discuss pitch, acoustics, and music, and include a very valuable table and study of the history of pitch in Europe from the fourteenth to the nineteenth centuries.

    It is a collection of 150 brain teasing math riddles and puzzles. Their purpose is to make children think and stretch the mind. They are designed to test logic, lateral thinking as well as memory and to engage the brain in seeing patterns and connections between different things and circumstances. They are laid out in three chapters which get more difficult as you go through the book, in the author’s opinion at least. The answers are at the back of the book if all else fails. These are more difficult riddles and are designed to be attempted by children from 10 years onwards, as well as participation from the rest of the family. Tags: Riddles and brain teasers, riddles and trick questions, riddles book, riddles book for kids, riddles for kids, riddles for kids aged 9-12, riddles and puzzles, jokes and riddles, jokes book, jokes book for kids, jokes children, jokes for kids, jokes kids, puzzle book

    D. Landau and his distinguished colleague G. B. Rumer, employ a simple and straightforward manner to illuminate relativity theory's more subtle and elusive aspects. Using such familiar objects as trains, rulers, and clocks, the authors explain the reasoning behind seemingly self-contradictory ideas in which the relative seems absolute, but the absolute proves to be relative. A series of playful cartoons highlights the authors' witty observations on the laws governing inertia, the speed of light, the relationship of work and mass, and other relativistic concepts."The exposition is masterful . . . a superb book." — New York Times Book Review.

    Unique in basing relativity on the Principle of Equivalence of Gravitation and Inertia over Riemannian geometry, this book explores relativity experiments and observational cosmology to provide a sound foundation upon which analyses can be made. Covering special and general relativity, tensor analysis, gravitation, curvature, and more, this book provides an engaging, insightful introduction to the forces that shape the universe.

    This guide provides explanations of eigenvalues, eigenvectors, linear transformations, linear equations, vectors, and matrices.

    For even as she sets out to determine how big “really big” may be, Levin gives us an intimate look at the day-to-day life of a globe-trotting physicist, complete with jet lag and romantic disturbances.Nimbly synthesizing geometry, topology, chaos and string theories, Levin shows how the pattern of hot and cold spots left over from the big bang may one day reveal the size and shape of the cosmos. She does so with such originality, lucidity—and even poetry—that How the Universe Got Its Spots becomes a thrilling and deeply personal communication between a scientist and the lay reader.

    The basic techniques and theorems of analysis are presented in such a way that the intimate connections between its various branches are strongly emphasized. The traditionally separate subjects of 'real analysis' and 'complex analysis' are thus united in one volume. Some of the basic ideas from functional analysis are also included. This is the only book to take this unique approach. The third edition includes a new chapter on differentiation. Proofs of theorems presented in the book are concise and complete and many challenging exercises appear at the end of each chapter. The book is arranged so that each chapter builds upon the other, giving students a gradual understanding of the subject.This text is part of the Walter Rudin Student Series in Advanced Mathematics.

    But scientists in the late 20th century have found patterns in things formerly thought to be chaotic; their theories help explain the unstable irregular yet highly structured features of everyday experience. It now seems likely that randomness and chaos play an essential role in the evolution of the living world-and of intelligence itself. Script by Dr. Roger White.

    From the classroom to the courtroom and from financial markets to supermarkets, Mlodinow's intriguing and illuminating look at how randomness, chance, and probability affect our daily lives will intrigue, awe, and inspire.

    This textbook, based on the author's own undergraduate teaching, develops general relativity and its associated mathematics from a minimum of prerequisites, leading to a physical understanding of the theory in some depth. It reinforces this understanding by making a detailed study of the theory's most important applications - neutron stars, black holes, gravitational waves, and cosmology - using the most up-to-date astronomical developments. The book is suitable for a one-year course for beginning graduate students or for undergraduates in physics who have studied special relativity, vector calculus, and electrostatics. Graduate students should be able to use the book selectively for half-year courses.

    The emphasis is, instead, on the myriad ways in which the universe presents itself to us--and how, as observers and participants in its processes, we respond to it. "Life, like a dome of many-colored glass," wrote Percy Bysshe Shelley, "stains the white radiance of eternity." The author seeks here to explore the variety that gives life its beauty.Taken from Dyson's recent public lectures--delivered to audiences with no specialized knowledge in hard sciences--the book begins with a consideration of the practical and political questions surrounding biotechnology. As he seeks how best to explain the place of life in the universe, Dyson then moves from the ethical to the purely scientific. The book concludes with an attempt to understand the implications of biology for philosophy and religion.The pieces in this collection touch on numerous disciplines, from astronomy and ecology to neurology and theology, speaking to the lay reader as well as to the scientist. As always, Dyson's view of human nature and behavior is balanced, and his predictions of a world to come serve primarily as a means for thinking about the world as it is today.