A Textbook Of Discrete Mathematics


Swapan Kumar Sarkar
    

Fundamentals of Statistical and Thermal Physics


Frederick Reif - 1965
    The presentation develops physical insight by stressing the microscopic content of the theory.

The Hole in the Universe


K.C. Cole - 2001
    C. Cole. Once again, acclaimed science writer K. C. Cole brings the arcane and academic down to the level of armchair scientists in The Hole in the Universe, an entertaining and edifying search for nothing at all. Open the newspaper on any given day and you will read of a newly discovered planet, star, and so on. Yet scientists and mathematicians have spent generations searching the far reaches of the universe for that one elusive state—nothingness. Although this may sound like a simple task, every time the absolute void appears within reach, something new is discovered in its place: a black hole, an undulating string, an additional dimension of space or time—even another universe. A fascinating and literary tour de force, The Hole in the Universe is a virtual romp into the unknown that you never knew wasn't there.

Gamma: Exploring Euler's Constant


Julian Havil - 2003
    Following closely behind is y, or gamma, a constant that arises in many mathematical areas yet maintains a profound sense of mystery. In a tantalizing blend of history and mathematics, Julian Havil takes the reader on a journey through logarithms and the harmonic series, the two defining elements of gamma, toward the first account of gamma's place in mathematics. Introduced by the Swiss mathematician Leonhard Euler (1707-1783), who figures prominently in this book, gamma is defined as the limit of the sum of 1 + 1/2 + 1/3 + . . . Up to 1/n, minus the natural logarithm of n--the numerical value being 0.5772156. . . . But unlike its more celebrated colleagues π and e, the exact nature of gamma remains a mystery--we don't even know if gamma can be expressed as a fraction. Among the numerous topics that arise during this historical odyssey into fundamental mathematical ideas are the Prime Number Theorem and the most important open problem in mathematics today--the Riemann Hypothesis (though no proof of either is offered!). Sure to be popular with not only students and instructors but all math aficionados, Gamma takes us through countries, centuries, lives, and works, unfolding along the way the stories of some remarkable mathematics from some remarkable mathematicians.-- "Notices of the American Mathematical Society"

Alchemy of Nine Dimensions: Decoding the Vertical Axis, Crop Circles, and the Mayan Calendar


Barbara Hand Clow - 2004
    In this exciting sequel, Barbara Hand Clow takes these teachings to a practical level so that we can all discover multidimensionality in our daily lives.Based on more than ten years of experience with students, and years of research into the new sciences that validate the breakthrough concepts in The Pleiadian Agenda, Clow presents each dimension in detail. Alchemy of Nine Dimensions reveals how the Pleiadians described the nine dimensionssharpens our understanding with scientific and historical explanationsoffers a startling interpretation of crop circleshelps you contact and work with beings in many dimensions, and provides meditations on how to ground these nine dimensions of awareness energetically into our bodiesFinally, Clow reveals the true significance of the date December 21, 2012--the end of the Mayan calendar--and tells you what you need to know to begin physical and spiritual preparation.

Introducing Time


Craig Callender - 1997
    Traces the history of time from Augustine's suggestion that there is no time, to the flowing time of Newton, the static time of Einstein, and then back, to the idea that there is no time in quantum gravity.

King of Infinite Space: Donald Coxeter, the Man Who Saved Geometry


Siobhan Roberts - 2006
    Yet geometry is so much more than shapes and numbers; indeed, it governs much of our lives—from architecture and microchips to car design, animated movies, the molecules of food, even our own body chemistry. And as Siobhan Roberts elegantly conveys in The King of Infinite Space, there can be no better guide to the majesty of geometry than Donald Coxeter, perhaps the greatest geometer of the twentieth century.Many of the greatest names in intellectual history—Pythagoras, Plato, Archimedes, Euclid— were geometers, and their creativity and achievements illuminate those of Coxeter, revealing geometry to be a living, ever-evolving endeavor, an intellectual adventure that has always been a building block of civilization. Coxeter's special contributions—his famed Coxeter groups and Coxeter diagrams—have been called by other mathematicians "tools as essential as numbers themselves," but his greatest achievement was to almost single-handedly preserve the tradition of classical geometry when it was under attack in a mathematical era that valued all things austere and rational.Coxeter also inspired many outside the field of mathematics. Artist M. C. Escher credited Coxeter with triggering his legendary Circle Limit patterns, while futurist/inventor Buckminster Fuller acknowledged that his famed geodesic dome owed much to Coxeter's vision. The King of Infinite Space is an elegant portal into the fascinating, arcane world of geometry.

Nothing: A Very Short Introduction


Frank Close - 2009
    Readers will find an enlightening history of the vacuum: how the efforts to make a better vacuum led to the discovery of the electron; the ideas of Newton, Mach, and Einstein on the nature of space and time; the mysterious aether and how Einstein did away with it; and the latest ideas that the vacuum is filled with the Higgs field. The story ranges from the absolute zero of temperature and the seething vacuum of virtual particles and anti-particles that fills space, to the extreme heat and energy of the early universe. About the Series: Combining authority with wit, accessibility, and style, Very Short Introductions offer an introduction to some of life's most interesting topics. Written by experts for the newcomer, they demonstrate the finest contemporary thinking about the central problems and issues in hundreds of key topics, from philosophy to Freud, quantum theory to Islam.

Supersymmetry: Unveiling The Ultimate Laws Of Nature


Gordon L. Kane - 2000
    In this groundbreaking work, renowned physicist Gordon Kane first gives us the basics of the Standard Model, which describes the fundamental constituents and forces of nature. He then explains the next great leap in understanding: the theory of supersymmetry, which implies that each of the fundamental particles has a "superpartner" that can be detected at energies and intensities only now being achieved in the giant accelerators. If Kane and his colleagues are correct, these superpartners will also help solve many of the puzzles of modern physics-such as the existence of the Higgs boson-as well as one of the biggest mysteries is cosmology: the notorious "dark matter" of the universe.

Archimedes' Revenge: The Joys and Perils of Mathematics


Paul Hoffman - 1988
    An extremely clever account.--The New Yorker.

Hacking Matter: Levitating Chairs, Quantum Mirages, And The Infinite Weirdness Of Programmable Atoms


Wil McCarthy - 2003
    But it's coming, and when it does, it will change our lives as much as any invention ever has. Imagine being able to program matter itself-to change it, with the click of a cursor, from hard to soft, from paper to stone, from fluorescent to super-reflective to invisible. Supported by organizations ranging from Levi Strauss and IBM to the Defense Department, solid-state physicists in renowned laboratories are working to make it a reality. In this dazzling investigation, Wil McCarthy visits the laboratories and talks with the researchers who are developing this extraordinary technology, describes how they are learning to control it, and tells us where all this will lead. The possibilities are truly astonishing.

Advanced Differential Equations


M.D. Raisinghania - 1995
    

Relativity Visualized: The Gold Nugget of Relativity Books


Lewis Carroll Epstein - 1984
    By replacing equations with diagrams, the book allows non-specialist readers to fully understand the concepts in relativity without the slow, painful progress so often associated with a complicated scientific subject. It allows readers not only to know how relativity works, but also to intuitively understand it.

Advanced Electronic Communications Systems


Wayne Tomasi - 1987
    Numerous examples throughout provide readers with real-life applications of the concepts of analog and digital communications systems, while chapter-end questions and problems give them a chance to test and review their understanding of fundamental and key topics. Modern digital and data communications systems, microwave radio communications systems, satellite communications systems, and optical fiber communications systems. Cellular and PCS telephone systems coverage presents the latest and most innovative technological advancements being made in cellular communication systems. Optical fiber communications chapter includes new sections on light sources, optical power, optical sources and link budget. Current topics include trellis encoding, CCITT modem recommendations, PCM line speed, extended superframe format, wavelength division multiplexing, Kepler's laws, Clark orbits, limits of visibility, Satellite Radio Navigation and Navstar GPS. For the study of electronic communications systems.

Probability, Statistics And Random Processes


T. Veerarajan - 2008