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Tribute to a Mathemagician by Barry Cipra
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A Beautiful Question: Finding Nature's Deep Design
Frank Wilczek - 2015
Wilczek’s groundbreaking work in quantum physics was inspired by his intuition to look for a deeper order of beauty in nature. In fact, every major advance in his career came from this intuition: to assume that the universe embodies beautiful forms, forms whose hallmarks are symmetry—harmony, balance, proportion—and economy. There are other meanings of “beauty,” but this is the deep logic of the universe—and it is no accident that it is also at the heart of what we find aesthetically pleasing and inspiring.Wilczek is hardly alone among great scientists in charting his course using beauty as his compass. As he reveals in A Beautiful Question, this has been the heart of scientific pursuit from Pythagoras, the ancient Greek who was the first to argue that “all things are number,” to Galileo, Newton, Maxwell, Einstein, and into the deep waters of twentiethcentury physics. Though the ancients weren’t right about everything, their ardent belief in the music of the spheres has proved true down to the quantum level. Indeed, Wilczek explores just how intertwined our ideas about beauty and art are with our scientific understanding of the cosmos.Wilczek brings us right to the edge of knowledge today, where the core insights of even the craziest quantum ideas apply principles we all understand. The equations for atoms and light are almost literally the same equations that govern musical instruments and sound; the subatomic particles that are responsible for most of our mass are determined by simple geometric symmetries. The universe itself, suggests Wilczek, seems to want to embody beautiful and elegant forms. Perhaps this force is the pure elegance of numbers, perhaps the work of a higher being, or somewhere between. Either way, we don’t depart from the infinite and infinitesimal after all; we’re profoundly connected to them, and we connect them. When we find that our sense of beauty is realized in the physical world, we are discovering something about the world, but also something about ourselves.Gorgeously illustrated, A Beautiful Question is a mind-shifting book that braids the age-old quest for beauty and the age-old quest for truth into a thrilling synthesis. It is a dazzling and important work from one of our best thinkers, whose humor and infectious sense of wonder animate every page. Yes: The world is a work of art, and its deepest truths are ones we already feel, as if they were somehow written in our souls.
Double Crossed
Darrien Lee - 2008
From the "Essence"-bestselling author of "All That and a Bag of Chips" and "What Goes Around Comes Around" comes a riveting page-turner about an NFL coach who's forced to choose between his love and his freedom.
Uncle Petros and Goldbach's Conjecture: A Novel of Mathematical Obsession
Apostolos Doxiadis - 1992
His feverish and singular pursuit of this goal has come to define his life. Now an old man, he is looked on with suspicion and shame by his family-until his ambitious young nephew intervenes.Seeking to understand his uncle's mysterious mind, the narrator of this novel unravels his story, a dramatic tale set against a tableau of brilliant historical figures-among them G. H. Hardy, the self-taught Indian genius Srinivasa Ramanujan, and a young Kurt Gödel. Meanwhile, as Petros recounts his own life's work, a bond is formed between uncle and nephew, pulling each one deeper into mathematical obsession, and risking both of their sanity.
The Big O: My Life, My Times, My Game
Oscar Robertson - 2003
The year was 1962. He was all of twenty-three. No player in basketball history had ever done this. No one has done it since--not Magic Johnson, not Larry Bird, not Michael or Kobe. Throughout the first five years of his career, he averaged a triple-double.Videotape does not do him justice. The images are washed out, the colors faded and fuzzy in a manner associated with bygone eras, the fashions and style of play not aging well. And yet there is palpable greatness.He was voted into the Basketball Hall of Fame on the first ballot, and the National Association of Basketball Coaches named him their player of the century. ESPN put him among their fifty greatest athletes of the century, the National Basketball Association on their list of the fifty greatest players. On and on. So many accolades that they run into one another.But the story of Oscar Robertson is about much more than basketball. The story of Oscar Robertson is one of a shy black child growing up in a city so segregated that, until he is ten years old, his only exposure to white people is the distant memory of two Tennessee farm owners whose land his father had worked. It is the story of a poor family, and absent parents working long hours without complaint or reward.The story of Oscar Robertson is also the story of the basketball-crazed state of Indiana and Crispus Attucks High School, the high school he led to the state championship. He joins the University of Cincinnati's basketball team and handles the ball on the perimeter in a way that has never been seen before.Oscar Robertson enters the NBA with the Cincinnati Royals, who have been just barely holding on as they wait for the fledgling star. Robertson does not disappoint. Moving to the backcourt, he simply revolutionizes the game.The story of Oscar Robertson is one of a superstar at the height of his career becoming the president of a union, the National Basketball Players Association, using his fame to try to improve conditions for all basketball players. It is the story of the man who sues the NBA for the right to free agency.He is thirty-one years old when the Milwaukee Bucks trade for him. And so Oscar Robertson's story is also the story of a veteran player who joins young superstar Lew Alcindor (the future Kareem Abdul-Jabbar) and leads Milwaukee to an NBA championship.It is the story of a man who, at thirty-four years old, is forced to leave the game. Who is blacklisted from coaching and is forced out of broadcasting. Who must face questions not about whether he fought the good fight, but how he fought it.Two years after he leaves basketball, after six years of legal wrangling, Robertson wins his lawsuit with the NBA. It is the story of a man who revolutionized the game of basketball twice: once on the court, and once in the way that the business of basketball is conducted. It is the story of how the NBA, as we now know it, was built. Of race in America in the second half of the twentieth century. Of a complex hero. An uncompromising man. It is Oscar Robertson's story.
Euclid's Elements
Euclid
Heath's translation of the thirteen books of Euclid's Elements. In keeping with Green Lion's design commitment, diagrams have been placed on every spread for convenient reference while working through the proofs; running heads on every page indicate both Euclid's book number and proposition numbers for that page; and adequate space for notes is allowed between propositions and around diagrams. The all-new index has built into it a glossary of Euclid's Greek terms.Heath's translation has stood the test of time, and, as one done by a renowned scholar of ancient mathematics, it can be relied upon not to have inadvertantly introduced modern concepts or nomenclature. We have excised the voluminous historical and scholarly commentary that swells the Dover edition to three volumes and impedes classroom use of the original text. The single volume is not only more convenient, but less expensive as well.
Sinful
Victor McGlothin - 2007
. . Everybody's got a weakness and Chandelle Hutchins' is a love of material possessions--a love that is causing serious trouble in her marriage. Chandelle's latest object of desire is an expensive new house. Her husband Marvin knows they can't afford it--and he also knows he can't talk Chandelle into giving it up. With their relationship crumbling under a mountain of debt, it may just be easier for Marvin to walk away. But with Chandelle's scheming cousin Dior in town, money may be the least of the couple's problems. . .Dior's weakness is her insatiable appetite for causing trouble--and her latest target is her cousin's marriage. When the time is right, Dior would like nothing more than to seduce Marvin on the rebound. But Dior is being trailed by her own troublemaker: a crazed female employer who refuses to release Dior from her twisted duties as nanny to her children and late night mistress to her kinky husband. Fortunately for everyone involved, the Lord works in mysterious ways. For despite a tangle of lies, manipulation, and mayhem, a series of unexpected events is about to bless everyone with a much needed second chance. . .
For the Love of Physics: From the End of the Rainbow to the Edge of Time - A Journey Through the Wonders of Physics
Walter Lewin - 2011
“I walk with a new spring in my step and I look at life through physics-colored eyes,” wrote one such fan. When Lewin’s lectures were made available online, he became an instant YouTube celebrity, and The New York Times declared, “Walter Lewin delivers his lectures with the panache of Julia Child bringing French cooking to amateurs and the zany theatricality of YouTube’s greatest hits.” For more than thirty years as a beloved professor at the Massachusetts Institute of Technology, Lewin honed his singular craft of making physics not only accessible but truly fun, whether putting his head in the path of a wrecking ball, supercharging himself with three hundred thousand volts of electricity, or demonstrating why the sky is blue and why clouds are white. Now, as Carl Sagan did for astronomy and Brian Green did for cosmology, Lewin takes readers on a marvelous journey in For the Love of Physics, opening our eyes as never before to the amazing beauty and power with which physics can reveal the hidden workings of the world all around us. “I introduce people to their own world,” writes Lewin, “the world they live in and are familiar with but don’t approach like a physicist—yet.” Could it be true that we are shorter standing up than lying down? Why can we snorkel no deeper than about one foot below the surface? Why are the colors of a rainbow always in the same order, and would it be possible to put our hand out and touch one? Whether introducing why the air smells so fresh after a lightning storm, why we briefly lose (and gain) weight when we ride in an elevator, or what the big bang would have sounded like had anyone existed to hear it, Lewin never ceases to surprise and delight with the extraordinary ability of physics to answer even the most elusive questions. Recounting his own exciting discoveries as a pioneer in the field of X-ray astronomy—arriving at MIT right at the start of an astonishing revolution in astronomy—he also brings to life the power of physics to reach into the vastness of space and unveil exotic uncharted territories, from the marvels of a supernova explosion in the Large Magellanic Cloud to the unseeable depths of black holes. “For me,” Lewin writes, “physics is a way of seeing—the spectacular and the mundane, the immense and the minute—as a beautiful, thrillingly interwoven whole.” His wonderfully inventive and vivid ways of introducing us to the revelations of physics impart to us a new appreciation of the remarkable beauty and intricate harmonies of the forces that govern our lives.
The Nothing That Is: A Natural History of Zero
Robert M. Kaplan - 1999
As we enter the year 2000, zero is once again making its presence felt. Nothing itself, it makes possible a myriad of calculations. Indeed, without zero mathematicsas we know it would not exist. And without mathematics our understanding of the universe would be vastly impoverished. But where did this nothing, this hollow circle, come from? Who created it? And what, exactly, does it mean? Robert Kaplan's The Nothing That Is: A Natural History of Zero begins as a mystery story, taking us back to Sumerian times, and then to Greece and India, piecing together the way the idea of a symbol for nothing evolved. Kaplan shows us just how handicapped our ancestors were in trying to figurelarge sums without the aid of the zero. (Try multiplying CLXIV by XXIV). Remarkably, even the Greeks, mathematically brilliant as they were, didn't have a zero--or did they? We follow the trail to the East where, a millennium or two ago, Indian mathematicians took another crucial step. By treatingzero for the first time like any other number, instead of a unique symbol, they allowed huge new leaps forward in computation, and also in our understanding of how mathematics itself works. In the Middle Ages, this mathematical knowledge swept across western Europe via Arab traders. At first it was called dangerous Saracen magic and considered the Devil's work, but it wasn't long before merchants and bankers saw how handy this magic was, and used it to develop tools likedouble-entry bookkeeping. Zero quickly became an essential part of increasingly sophisticated equations, and with the invention of calculus, one could say it was a linchpin of the scientific revolution. And now even deeper layers of this thing that is nothing are coming to light: our computers speakonly in zeros and ones, and modern mathematics shows that zero alone can be made to generate everything.Robert Kaplan serves up all this history with immense zest and humor; his writing is full of anecdotes and asides, and quotations from Shakespeare to Wallace Stevens extend the book's context far beyond the scope of scientific specialists. For Kaplan, the history of zero is a lens for looking notonly into the evolution of mathematics but into very nature of human thought. He points out how the history of mathematics is a process of recursive abstraction: how once a symbol is created to represent an idea, that symbol itself gives rise to new operations that in turn lead to new ideas. Thebeauty of mathematics is that even though we invent it, we seem to be discovering something that already exists.The joy of that discovery shines from Kaplan's pages, as he ranges from Archimedes to Einstein, making fascinating connections between mathematical insights from every age and culture. A tour de force of science history, The Nothing That Is takes us through the hollow circle that leads to infinity.
Feynman's Lost Lecture: The Motion of Planets Around the Sun
David Goodstein - 1996
Most know Richard Feynman for the hilarious anecdotes and exploits in his best-selling books Surely You're Joking, Mr. Feynman! and What DoYou Care What Other People Think? But not always obvious in those stories was his brilliance as a pure scientist—one of the century's greatest physicists. With this book and CD, we hear the voice of the great Feynman in all his ingenuity, insight, and acumen for argument. This breathtaking lecture—"The Motion of the Planets Around the Sun"—uses nothing more advanced than high-school geometry to explain why the planets orbit the sun elliptically rather than in perfect circles, and conclusively demonstrates the astonishing fact that has mystified and intrigued thinkers since Newton: Nature obeys mathematics. David and Judith Goodstein give us a beautifully written short memoir of life with Feynman, provide meticulous commentary on the lecture itself, and relate the exciting story of their effort to chase down one of Feynman's most original and scintillating lectures.
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.
How to Solve It: A New Aspect of Mathematical Method
George Pólya - 1944
Polya, How to Solve It will show anyone in any field how to think straight. In lucid and appealing prose, Polya reveals how the mathematical method of demonstrating a proof or finding an unknown can be of help in attacking any problem that can be reasoned out--from building a bridge to winning a game of anagrams. Generations of readers have relished Polya's deft--indeed, brilliant--instructions on stripping away irrelevancies and going straight to the heart of the problem.
Resurrection: The Miracle Season That Saved Notre Dame
Jim Dent - 2009
For five straight years, from 1958 through 1963, the home of Knute Rockne and Frank Leahy could not produce one winning season. Plagued by a series of bad coaching choices, inept management, and a loss of institutional support, no one could be sure if the Fighting Irish would ever return to glory. When "Touchdown Jesus" was erected in 1964, it presided over a team so hopeless that the entire football program was on the brink of collapse.Little did anyone know, help was on its way in the form of Ara Parseghian, a controversial choice for head coach---the first one outside of the Notre Dame "family"---who had only set foot on Notre Dame soil when his football teams played (and won) there. It was now his responsibility to rebuild the once-proud program and teach the Fighting Irish how to win again. This was no small task.The men of Notre Dame football were a bunch of unlikelies and oddballs, but Parseghian transformed them into a team: a senior quarterback who would win the Heisman Trophy two weeks before he picked up his first letter jacket; a five-foot-eight walk-on who would go on to make first team All-American; and an exceptionally rare black player, who would overcome much more than his quiet demeanor to rise to All-American, All-Pro, NFL Hall of Famer, and to justice of the Minnesota Supreme Court.Parseghian would change everything, from the uniforms and pads to the offensive strategy. He switched players from position to position like pieces on a chessboard, and just before the season opener, he hung a motto over the locker-room door:"What tho the odds""Be great or small""Notre Dame men""Will win over all"It would be a huge gamble against great obstacles, but Ara Parseghian had that look in his eye. . . ."New York Times" bestselling author Jim Dent chronicles one of the greatest comeback seasons in the history of college football---the first season in what is known as the "Era of Ara." Once again confirming his position as one of the top sportswriters in the country, Dent writes with passion, humor, and incredible insight, bringing the legends of Notre Dame football to life in an unforgettable story of second chances, determination, and unwavering spirit.
A Textbook of Engineering Mathematics
N.P. Bali - 2010
The salient features of the book are as follows: It exactly covers the prescribed syllabus. Nothing undesirable has been included and nothing essential has been left. Its approach is explanatory and language is lucid and communicable. The exposition of the subject matter is systematic and the students are better prepared to solve the problems. All fundamentals of the included topics are explained with a micro-analysis. Sufficient number of solved examples have been given to let the students understand the various skills necessary to solve the problems. These examples are well-graded. Unsolved exercises of multi-varieties have been given in a well-graded style. Attempting those on his own, will enable a student to create confidence and independence in him/her regarding the understanding of the subject. Daily life problems and practical applications have been incorporated in the body of the text. A large number of attractive and accurate figures have been drawn which enable a student to grasp the subject in an easier way. All the answers have been checked and verified. About The Author: N.P. Bali is a prolific author of over 100 books for degree and engineering students. He has been writing books for more than forty years. His books on the following topics are well known for their easy comprehension and lucid presentation: Algebra, Trigonometry, Differential Calculus, Integral Calculus, Real Analysis, Co-ordinate Geometry, Statics, Dynamics etc. Dr. Manish Goyal has been associated with
Relativity: The Special and the General Theory
Albert Einstein - 1916
Having just completed his masterpiece, The General Theory of Relativity—which provided a brand-new theory of gravity and promised a new perspective on the cosmos as a whole—he set out at once to share his excitement with as wide a public as possible in this popular and accessible book.Here published for the first time as a Penguin Classic, this edition of Relativity features a new introduction by bestselling science author Nigel Calder.