This book celebrates a nineteenth century mechanical calculator that performed Fourier analysis by using gears, springs and levers to calculate with sines and cosines—an astonishing feat in an age before electronic computers. One hundred and fifty color photos reveal the analyzer’s beauty though full-page spreads, lush close-ups of its components, and archival photos of other Michelson-inspired analyzers. The book includes sample output from the machine and a reproduction of an 1898 journal article by Michelson, which first detailed the analyzer. The book is the official companion volume to the popular YouTube video series created by the authors.
Galileo Unbound traces the journey that brought us from Galileo's law of free fall to today's geneticists measuring evolutionary drift, entangled quantum particles moving among many worlds, and our lives as trajectories traversing a health space with thousands of dimensions. Remarkably, common themes persist that predict the evolution of species as readily as the orbits of planets or the collapse of stars into black holes. This book tells the history of spaces of expanding dimension and increasing abstraction and how they continue today to give new insight into the physics of complex systems. Galileo published the first modern law of motion, the Law of Fall, that was ideal and simple, laying the foundation upon which Newton built the first theory of dynamics. Early in the twentieth century, geometry became the cause of motion rather than the result when Einstein envisioned the fabric of space-time warped by mass and energy, forcing light rays to bend past the Sun. Possibly more radical was Feynman's dilemma of quantum particles taking all paths at once — setting the stage for the modern fields of quantum field theory and quantum computing. Yet as concepts of motion have evolved, one thing has remained constant, the need to track ever more complex changes and to capture their essence, to find patterns in the chaos as we try to predict and control our world.
In this biography of Albert A. Michelson (1852-1931), his daughter shares personal reminiscences, describes her father’s family life — two wives, six children, and a strong temperament — and follows Michelson from his birth in Poland to Jewish parents to the United States where his parents brought him at the age of three, settling in a gold-rush town in Nevada and then in San Francisco. Michelson graduated from the US Naval Academy in 1873, studied in Europe, taught at Clark University, and was head of the department of physics at the University of Chicago from 1894 to 1929. Michelson’s passion was the accurate measurement of the speed of light. In his first experiment, he found it to be 186,320 miles per second, which remained the best value available for a generation, until Michelson himself bettered it. He also invented the interferometer to measure distances using the length of light waves; he measured the meter using the wavelength of cadmium light for the International Bureau of Weights and Measures in Paris; and he used light interference to determine the size of stars. With E. W. Morley, he showed that the absolute motion of the earth through the ether is not measurable, contributing to the development of the theory of relativity. The first American to receive a Nobel prize in science, Michelson received the Nobel prize in physics in 1907 for his optical precision instruments and for the spectroscopic and metrological investigations he made with them. “This work of a devoted daughter who is not herself a scientist catches the humanity of a complex, brilliant man through anecdotes and informed detail.” — The New York Times “From personal recollection, from much reading, and from interviews, Mrs. Livingston has written a well-organized scientific biography of her father... In this book the author has attempted not only to discuss his scientific achievements, but also to portray Michelson the man — his personality and character, strengths and foibles. He was dedicated but demanding and could be arrogant, strict, and severe... This book portrays Michelson not as a legend, but as a real, believable person.” — John N. Howard, Science “[A] beautiful family portrait of Albert Abraham Michelson, America’s first Nobel laureate for science. This biography is more than an intellectual exercise, more than merely of academic or scientific or historical interest. It is almost a religious work that begins with a ‘quest for my father’ and ends with a ‘postscript’ on Michelson’s honors and continuing influence... an intelligently organized, emotionally motivated, intellectually controlled search for meaning in the life and works of a great man of science... Michelson’s youngest daughter by his second marriage, has presented a sensitive, artful, honest, and superbly readable portrait of her father... [which] paints the full life, personal relations, and human figure of Michelson in a form that is a worthy monument to his memory... We learn to know much more intimately where Michelson originated, how he matured, who recognized and helped him, what personal influences shaped his life, when and where his own exertions were influential in shaping the life of physics in the United States and the world... the author has been remarkably judicious and meticulous in handling her material.” — Loyd S. Swenson, Jr., Isis “A non-physicist herself, [the author] has relied heavily on physicists who were familiar with her father’s work and with the field of optics in general, as well as archivists, historians of science, writers and editors. Thus, this thorough biography is the fortunate combination of the efforts of many people, resulting in a valuable reference work as well as a very readable story about one of America’s greatest scientists... Its merit lies in the masterful way the author has melded voluminous information from many sources into a sensitive and realistic portrait of Michelson, showing him as a very real person with strengths and weaknesses, and showing his relation to scientists and the science of his period. It is a book well written and well worth reading by physicists and non-physicists alike.” — Jean M. Bennett, Physics Today “Mrs Livingston, Michelson’s last child by his second wife, is, as she says, neither a physicist nor a writer. Her book nonetheless has something for both the general reader and the specialist. The former will find an interesting and even adventurous life, the latter some gems from unpublished correspondence.” — J. L. Heilbron, The British Journal for the History of Science “The biography is a well-researched, accurate, and reliable work enhanced by the author’s invaluable first-hand experience with the subject. Michelson’s achievements are set against his personal life including his family, relationships to other scientists, and the struggles which inevitably develop in establishing a college science department.” — George T. Ladd, The Science Teacher “This excellent biography by Michelson’s youngest daughter is a judicious mixture of anecdotes and details of the scientific achievements... Dorothy Livingston is to be congratulated on this very readable and informative biography of her talented father.” — W. W. Watson, American Scientist “[An] admirable biography of Michelson the man... most fascinating.” — David R. Topper, Technology and Culture
A sweeping exploration of essential concepts and applications in modern mathematics and science through the unifying framework of Fourier analysis! This unique, extensively illustrated book, accessible to specialists and non-specialists, describes the evolution of harmonic analysis, integrating theory and applications in a way that requires only some general mathematical sophistication and knowledge of calculus in certain sections. Historical sections interwoven with key scientific developments show how, when, where, and why harmonic analysis evolved "The Evolution of Applied Harmonic Analysis" will engage graduate and advanced undergraduate students, researchers, and practitioners in the physical and life sciences, engineering, and mathematics.
University Physics is a three-volume collection that meets the scope and sequence requirements for two- and three-semester calculus-based physics courses. Volume 1 covers mechanics, sound, oscillations, and waves. Volume 2 covers thermodynamics, electricity and magnetism, and Volume 3 covers optics and modern physics. This textbook emphasizes connections between between theory and application, making physics concepts interesting and accessible to students while maintaining the mathematical rigor inherent in the subject. Frequent, strong examples focus on how to approach a problem, how to work with the equations, and how to check and generalize the result. The text and images in this textbook are grayscale.
In 1942, Lt. Herman H. Goldstine, a former mathematics professor, was stationed at the Moore School of Electrical Engineering at the University of Pennsylvania. It was there that he assisted in the creation of the ENIAC, the first electronic digital computer. The ENIAC was operational in 1945, but plans for a new computer were already underway. The principal source of ideas for the new computer was John von Neumann, who became Goldstine's chief collaborator. Together they developed EDVAC, successor to ENIAC. After World War II, at the Institute for Advanced Study, they built what was to become the prototype of the present-day computer. Herman Goldstine writes as both historian and scientist in this first examination of the development of computing machinery, from the seventeenth century through the early 1950s. His personal involvement lends a special authenticity to his narrative, as he sprinkles anecdotes and stories liberally through his text.
The textbook covers the most popular transforms used in electrical engineering along with the mathematical foundations of the transforms, uniquely bringing together the two in a single text. Geared towards an upper-undergraduate or graduate-level class, the book covers the most-used transforms including Fourier, Laplace, Discrete Fourier, z-, short-time Fourier, and discrete cosine transforms. The book includes the complex numbers, complex functions, and complex integration that are fundamental to understand the transforms. The author strives to make the study of the subject approachable by appealing to the use of popular software like LabVIEW virtual instruments, Matlab m-files, and C programming resources. Computer projects at the end of chapters further enhance the learning process. The book is based on the author’s years of teachıng Engineering Mathematics and Signal courses and can be used in both electrical engineering and mathematics curriculum. Presents both electrical engineering transforms and their mathematical foundations in an understandable, pedagogical, and applicable approach; Covers the most common transforms for electronics and communications engineers including Laplace transform, the Fourier transform, STFT, the z-transform; Features LabVIEW virtual instrument (vi) files, LTSpice simulation files, MATLAB m files, and computer projects in the chapter problems.
