Just Six Numbers: The Deep Forces That Shape the Universe


Martin J. Rees - 1999
    There are deep connections between stars and atoms, between the cosmos and the microworld. Just six numbers, imprinted in the "big bang," determine the essential features of our entire physical world. Moreover, cosmic evolution is astonishingly sensitive to the values of these numbers. If any one of them were "untuned," there could be no stars and no life. This realization offers a radically new perspective on our universe, our place in it, and the nature of physical laws.

Orchestration


Walter Piston - 1955
    No practical aspect of instrumentation for the orchestra is neglected, and comprehensive treatment is given to each significant component. The author approaches orchestration from the premise that the principles can best be presented by analysis of music as it has been written.The essentials of instrument combination discussed here are those which can be observed operating in the scores of great composers from Haydn, Mozart, and Beethoven down to our own day.Orchestration is notable for the clarity and logic of its organization. From a consideration of the individual instruments and their technical problems the author skillfully develops his analysis of orchestration, covering his analysis of orchestration, covering instrumentation of primary and secondary melodies, part-writing, chords, and contrapuntal techniques. Finally, he discusses typical problems in orchestration together with some examples of their solutions.Orchestration is profusely illustrated with hundreds of musical examples and with drawings of the various musical instruments that make up the modern orchestra.

Tao of Photography: Seeing Beyond Seeing


Philippe L. Gross - 2001
    Excerpts from the Taoist classic the Chuang-tzu and the writings of Western aesthetes are complemented by over 60 photographs from the work of such canonical photographers as Henri Cartier-Bresson, Alfred Stieglitz, and Dorothea Lange. Lucid instructional text and enlightening exercises assure that photographers of all levels will be able to incorporate the lessons of the Tao into their own work.

Indiscrete Thoughts


Gian-Carlo Rota - 1996
    The era covered by this book, 1950 to 1990, was surely one of the golden ages of science as well as the American university.Cherished myths are debunked along the way as Gian-Carlo Rota takes pleasure in portraying, warts and all, some of the great scientific personalities of the period Stanislav Ulam (who, together with Edward Teller, signed the patent application for the hydrogen bomb), Solomon Lefschetz (Chairman in the 50s of the Princeton mathematics department), William Feller (one of the founders of modern probability theory), Jack Schwartz (one of the founders of computer science), and many others.Rota is not afraid of controversy. Some readers may even consider these essays indiscreet. After the publication of the essay "The Pernicious Influence of Mathematics upon Philosophy" (reprinted six times in five languages) the author was blacklisted in analytical philosophy circles. Indiscrete Thoughts should become an instant classic and the subject of debate for decades to come."Read Indiscrete Thoughts for its account of the way we were and what we have become; for its sensible advice and its exuberant rhetoric."--The Mathematical Intelligencer"Learned, thought-provoking, politically incorrect, delighting in paradox, and likely to offend but everywhere readable and entertaining."--The American Mathematical Monthly"It is about mathematicians, the way they think, and the world in which the live. It is 260 pages of Rota calling it like he sees it... Readers are bound to find his observations amusing if not insightful. Gian-Carlo Rota has written the sort of book that few mathematicians could write. What will appeal immediately to anyone with an interest in research mathematics are the stories he tells about the practice of modern mathematics."--MAA Reviews"

Journey through Genius: The Great Theorems of Mathematics


William Dunham - 1990
    Now William Dunham gives them the attention they deserve.Dunham places each theorem within its historical context and explores the very human and often turbulent life of the creator — from Archimedes, the absentminded theoretician whose absorption in his work often precluded eating or bathing, to Gerolamo Cardano, the sixteenth-century mathematician whose accomplishments flourished despite a bizarre array of misadventures, to the paranoid genius of modern times, Georg Cantor. He also provides step-by-step proofs for the theorems, each easily accessible to readers with no more than a knowledge of high school mathematics.A rare combination of the historical, biographical, and mathematical, Journey Through Genius is a fascinating introduction to a neglected field of human creativity.

The Complete Guide to High-End Audio


Robert Harley - 1995
    With this book, discover how to get the best sound for your money, how to identify the weak links in your system and upgrade where it will do the most good, how to set up and tweak your system for maximum performance, and how to become a more perceptive and appreciative listener. Just a few of the secrets you will learn cover high-end sound on a budget, how to do it cheap and still do it right; five system set-up mistakes and how to avoid them; how to make your speakers sound up to 50% better, at no cost; how to choose and set up a computer-based music system; how to find the one speaker in 50 worth owning; and why all 100-watt amplifiers don't sound the same. Since the first edition's publication in 1994, The Complete Guide to High-End Audio has been considered the essential reference on high-quality music reproduction, with more than 150,000 copies sold in five languages.

How To: Absurd Scientific Advice for Common Real-World Problems


Randall Munroe - 2019
    How To is a guide to the third kind of approach. It's full of highly impractical advice for everything from landing a plane to digging a hole.Bestselling author and cartoonist Randall Munroe explains how to predict the weather by analyzing the pixels of your Facebook photos. He teaches you how to tell if you're a baby boomer or a 90's kid by measuring the radioactivity of your teeth. He offers tips for taking a selfie with a telescope, crossing a river by boiling it, and powering your house by destroying the fabric of space-time. And if you want to get rid of the book once you're done with it, he walks you through your options for proper disposal, including dissolving it in the ocean, converting it to a vapor, using tectonic plates to subduct it into the Earth's mantle, or launching it into the Sun.By exploring the most complicated ways to do simple tasks, Munroe doesn't just make things difficult for himself and his readers. As he did so brilliantly in What If?, Munroe invites us to explore the most absurd reaches of the possible. Full of clever infographics and amusing illustrations, How To is a delightfully mind-bending way to better understand the science and technology underlying the things we do every day.

The Little Book of Mathematical Principles, Theories, & Things


Robert Solomon - 2008
    Rare Book

Why Mahler?: How One Man and Ten Symphonies Changed Our World


Norman Lebrecht - 2010
    “Pages of dreary emptiness,” sniffed a leading American conductor. Yet today, almost one hundred years later, Mahler has displaced Beethoven as a box-office draw and exerts a unique influence on both popular music and film scores. Mahler’s coming-of-age began with such 1960s phenomena as Leonard Bernstein’s boxed set of his symphonies and Luchino Visconti’s film Death in Venice, which used Mahler’s music in its sound track. But that was just the first in a series of waves that established Mahler not just as a great composer but also as an oracle with a personal message for every listener. There are now almost two thousand recordings of his music, which has become an irresistible launchpad for young maestros such as Gustavo Dudamel. Why Mahler? Why does his music affect us in the way it does?  Norman Lebrecht, one of the world’s most widely read cultural commentators, has been wrestling obsessively with Mahler for half his life. Pacing out his every footstep from birthplace to grave, scrutinizing his manuscripts, talking to those who knew him, Lebrecht constructs a compelling new portrait of Mahler as a man who lived determinedly outside his own times. Mahler was—along with Picasso, Einstein, Freud, Kafka, and Joyce—a maker of our modern world. “Mahler dealt with issues I could recognize,” writes Lebrecht, “with racism, workplace  chaos, social conflict, relationship breakdown, alienation, depression, and the limitations of medical knowledge.” Why Mahler? is a book that shows how music can change our lives.

An Introduction To Quantum Field Theory


Michael E. Peskin - 1994
    The authors make these subjects accessible through carefully worked examples illustrating the technical aspects of the subject, and intuitive explanations of what is going on behind the mathematics. After presenting the basics of quantum electrodynamics, the authors discuss the theory of renormalization and its relation to statistical mechanics, and introduce the renormalization group. This discussion sets the stage for a discussion of the physical principles that underlie the fundamental interactions of elementary particle physics and their description by gauge field theories.

Stochastic Calculus Models for Finance II: Continuous Time Models (Springer Finance)


Steven E. Shreve - 2004
    The content of this book has been used successfully with students whose mathematics background consists of calculus and calculus-based probability. The text gives both precise statements of results, plausibility arguments, and even some proofs, but more importantly intuitive explanations developed and refine through classroom experience with this material are provided. The book includes a self-contained treatment of the probability theory needed for shastic calculus, including Brownian motion and its properties. Advanced topics include foreign exchange models, forward measures, and jump-diffusion processes.This book is being published in two volumes. This second volume develops shastic calculus, martingales, risk-neutral pricing, exotic options and term structure models, all in continuous time.Masters level students and researchers in mathematical finance and financial engineering will find this book useful.Steven E. Shreve is Co-Founder of the Carnegie Mellon MS Program in Computational Finance and winner of the Carnegie Mellon Doherty Prize for sustained contributions to education.

Matrix Energetics: The Science and Art of Transformation


Richard Bartlett - 2007
    Richard Bartlett experienced an event that would redirect the entire course of his life. He suddenly discovered that by lightly touching his clients while at the same time applying focused intent, he could restore them to a physically, mentally, and spiritually balanced state, instantly shifting misalignments that had plagued them for years. Most astonishing of all, he could teach anyone how to do this. Now, for millions of people looking for empowerment in an age of declining and impersonal healthcare, Dr. Bartlett shares this phenomenon in a book full of explosive potential. In Matrix Energetics, Dr. Bartlett builds upon his popular seminars to teach us how to access the discovery he has made -- a process that merges the science of subtle energy with our innate imaginations to produce measurable results. By applying forces known to modern physics, each of us can tap into states of healthy awareness from different moments -- in essence, travel in time -- and bring them into the present for immediate, profound results. As Dr. Bartlett clearly shows, this practice requires no special training, produces transformation in the blink of an eye, and is available to everyone who has a willingness to learn. Matrix Energetics, The Science and Art of Transformation, provides an easily-reproducible, results-oriented process of change that draws on the fundamental principles embraced by the field of quantum physics. This paradigm-busting book can teach anyone how to access their creative power to heal and transform their lives. Dr. Richard Bartlett discovered that what he once thought about the human body was just the tip of the iceberg -- after seeing change beneath his hands, and hearing about the invisible transformations that were often revealed later -- he knew that he had to pass along what he had discovered.

The Math Book: From Pythagoras to the 57th Dimension, 250 Milestones in the History of Mathematics


Clifford A. Pickover - 2009
    Beginning millions of years ago with ancient “ant odometers” and moving through time to our modern-day quest for new dimensions, it covers 250 milestones in mathematical history. Among the numerous delights readers will learn about as they dip into this inviting anthology: cicada-generated prime numbers, magic squares from centuries ago, the discovery of pi and calculus, and the butterfly effect. Each topic gets a lavishly illustrated spread with stunning color art, along with formulas and concepts, fascinating facts about scientists’ lives, and real-world applications of the theorems.

Proofs and Refutations: The Logic of Mathematical Discovery


Imre Lakatos - 1976
    Much of the book takes the form of a discussion between a teacher and his students. They propose various solutions to some mathematical problems and investigate the strengths and weaknesses of these solutions. Their discussion (which mirrors certain real developments in the history of mathematics) raises some philosophical problems and some problems about the nature of mathematical discovery or creativity. Imre Lakatos is concerned throughout to combat the classical picture of mathematical development as a steady accumulation of established truths. He shows that mathematics grows instead through a richer, more dramatic process of the successive improvement of creative hypotheses by attempts to 'prove' them and by criticism of these attempts: the logic of proofs and refutations.

Algebra


Michael Artin - 1991
    Linear algebra is tightly integrated into the text.