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Author: Eli Maor Publisher: ISBN: 9780691033907 Category : Mathematics Languages : en Pages : 223
Book Description
In this informal and engaging history, Eli Maor protrays the curious characters and the elegant mathematics that lie behind the number e.
Author: Eli Maor Publisher: ISBN: 9780691033907 Category : Mathematics Languages : en Pages : 223
Book Description
In this informal and engaging history, Eli Maor protrays the curious characters and the elegant mathematics that lie behind the number e.
Author: Paul Nahin Publisher: Princeton University Press ISBN: 1400833892 Category : Mathematics Languages : en Pages : 297
Book Description
Today complex numbers have such widespread practical use--from electrical engineering to aeronautics--that few people would expect the story behind their derivation to be filled with adventure and enigma. In An Imaginary Tale, Paul Nahin tells the 2000-year-old history of one of mathematics' most elusive numbers, the square root of minus one, also known as i. He recreates the baffling mathematical problems that conjured it up, and the colorful characters who tried to solve them. In 1878, when two brothers stole a mathematical papyrus from the ancient Egyptian burial site in the Valley of Kings, they led scholars to the earliest known occurrence of the square root of a negative number. The papyrus offered a specific numerical example of how to calculate the volume of a truncated square pyramid, which implied the need for i. In the first century, the mathematician-engineer Heron of Alexandria encountered I in a separate project, but fudged the arithmetic; medieval mathematicians stumbled upon the concept while grappling with the meaning of negative numbers, but dismissed their square roots as nonsense. By the time of Descartes, a theoretical use for these elusive square roots--now called "imaginary numbers"--was suspected, but efforts to solve them led to intense, bitter debates. The notorious i finally won acceptance and was put to use in complex analysis and theoretical physics in Napoleonic times. Addressing readers with both a general and scholarly interest in mathematics, Nahin weaves into this narrative entertaining historical facts and mathematical discussions, including the application of complex numbers and functions to important problems, such as Kepler's laws of planetary motion and ac electrical circuits. This book can be read as an engaging history, almost a biography, of one of the most evasive and pervasive "numbers" in all of mathematics. Some images inside the book are unavailable due to digital copyright restrictions.
Author: Martin Aigner Publisher: Springer Science & Business Media ISBN: 3662223430 Category : Mathematics Languages : en Pages : 194
Book Description
According to the great mathematician Paul Erdös, God maintains perfect mathematical proofs in The Book. This book presents the authors candidates for such "perfect proofs," those which contain brilliant ideas, clever connections, and wonderful observations, bringing new insight and surprising perspectives to problems from number theory, geometry, analysis, combinatorics, and graph theory. As a result, this book will be fun reading for anyone with an interest in mathematics.
Author: Oliver Jeffers Publisher: Penguin ISBN: 0698165543 Category : Juvenile Fiction Languages : en Pages : 32
Book Description
Learn to count with the #1 New York Times bestselling artist of The Day the Crayons Quit and his hilarious cast of Hueys! "Is none a number?" you might ask. I'm glad you did. The answer is Yes! For example, how many lumps of cheese do you see next to you? The answer, depending on where you are, is likely "none." Counting with the reader all the way up to ten, the Hueys explain numbers as only they can. Such as: The number 4 is the number of tantrums thrown by Dave every day. 7 is the number of oranges balanced on things. And 9 is the number of seagulls who attacked Frank's French fries. Together they make quite a spectacle. But when you take away all of these fun illustrations in the book? You're left with none! This funny and accessible counting book from #1 New York Times bestseller Oliver Jeffers (The Day the Crayons Quit; This Moose Belongs to Me) gives the Hueys one more reason to be every young child's best friends. Praise for NONE THE NUMBER "Delightfully droll and enlightening . . . . The illustrations, 'made with pencils and a bit of color' on large white pages, are deceptively simple and ridiculously funny."--School Library Journal
Author: Donald Ervin Knuth Publisher: Addison-Wesley Professional ISBN: 9780201038125 Category : Computers Languages : en Pages : 130
Book Description
Nearly 30 years ago, John Horton Conway introduced a new way to construct numbers. Donald E. Knuth, in appreciation of this revolutionary system, took a week off from work on The Art of Computer Programming to write an introduction to Conway's method. Never content with the ordinary, Knuth wrote this introduction as a work of fiction--a novelette. If not a steamy romance, the book nonetheless shows how a young couple turned on to pure mathematics and found total happiness. The book's primary aim, Knuth explains in a postscript, is not so much to teach Conway's theory as "to teach how one might go about developing such a theory." He continues: "Therefore, as the two characters in this book gradually explore and build up Conway's number system, I have recorded their false starts and frustrations as well as their good ideas. I wanted to give a reasonably faithful portrayal of the important principles, techniques, joys, passions, and philosophy of mathematics, so I wrote the story as I was actually doing the research myself."... It is an astonishing feat of legerdemain. An empty hat rests on a table made of a few axioms of standard set theory. Conway waves two simple rules in the air, then reaches into almost nothing and pulls out an infinitely rich tapestry of numbers that form a real and closed field. Every real number is surrounded by a host of new numbers that lie closer to it than any other "real" value does. The system is truly "surreal." quoted from Martin Gardner, Mathematical Magic Show, pp. 16--19 Surreal Numbers, now in its 13th printing, will appeal to anyone who might enjoy an engaging dialogue on abstract mathematical ideas, and who might wish to experience how new mathematics is created. 0201038129B04062001
Author: Aswath Damodaran Publisher: Columbia University Press ISBN: 0231542747 Category : Business & Economics Languages : en Pages : 295
Book Description
How can a company that has never turned a profit have a multibillion dollar valuation? Why do some start-ups attract large investments while others do not? Aswath Damodaran, finance professor and experienced investor, argues that the power of story drives corporate value, adding substance to numbers and persuading even cautious investors to take risks. In business, there are the storytellers who spin compelling narratives and the number-crunchers who construct meaningful models and accounts. Both are essential to success, but only by combining the two, Damodaran argues, can a business deliver and sustain value. Through a range of case studies, Narrative and Numbers describes how storytellers can better incorporate and narrate numbers and how number-crunchers can calculate more imaginative models that withstand scrutiny. Damodaran considers Uber's debut and how narrative is key to understanding different valuations. He investigates why Twitter and Facebook were valued in the billions of dollars at their public offerings, and why one (Twitter) has stagnated while the other (Facebook) has grown. Damodaran also looks at more established business models such as Apple and Amazon to demonstrate how a company's history can both enrich and constrain its narrative. And through Vale, a global Brazil-based mining company, he shows the influence of external narrative, and how country, commodity, and currency can shape a company's story. Narrative and Numbers reveals the benefits, challenges, and pitfalls of weaving narratives around numbers and how one can best test a story's plausibility.
Author: Paul J. Nahin Publisher: Princeton University Press ISBN: 0691175918 Category : Mathematics Languages : en Pages : 416
Book Description
In the mid-eighteenth century, Swiss-born mathematician Leonhard Euler developed a formula so innovative and complex that it continues to inspire research, discussion, and even the occasional limerick. Dr. Euler's Fabulous Formula shares the fascinating story of this groundbreaking formula—long regarded as the gold standard for mathematical beauty—and shows why it still lies at the heart of complex number theory. In some ways a sequel to Nahin's An Imaginary Tale, this book examines the many applications of complex numbers alongside intriguing stories from the history of mathematics. Dr. Euler's Fabulous Formula is accessible to any reader familiar with calculus and differential equations, and promises to inspire mathematicians for years to come.
Author: Isabel Wilkerson Publisher: Random House Trade Paperbacks ISBN: 0593230272 Category : Social Science Languages : en Pages : 545
Book Description
#1 NEW YORK TIMES BESTSELLER • OPRAH’S BOOK CLUB PICK • “An instant American classic and almost certainly the keynote nonfiction book of the American century thus far.”—Dwight Garner, The New York Times The Pulitzer Prize–winning, bestselling author of The Warmth of Other Suns examines the unspoken caste system that has shaped America and shows how our lives today are still defined by a hierarchy of human divisions—now with a new Afterword by the author. #1 NONFICTION BOOK OF THE YEAR: Time ONE OF THE BEST BOOKS OF THE YEAR: The Washington Post, The New York Times, Los Angeles Times, The Boston Globe, O: The Oprah Magazine, NPR, Bloomberg, The Christian Science Monitor, New York Post, The New York Public Library, Fortune, Smithsonian Magazine, Marie Claire, Slate, Library Journal, Kirkus Reviews Winner of the Carl Sandberg Literary Award • Winner of the Los Angeles Times Book Prize • National Book Award Longlist • National Book Critics Circle Award Finalist • Dayton Literary Peace Prize Finalist • PEN/John Kenneth Galbraith Award for Nonfiction Finalist • PEN/Jean Stein Book Award Longlist • Kirkus Prize Finalist “As we go about our daily lives, caste is the wordless usher in a darkened theater, flashlight cast down in the aisles, guiding us to our assigned seats for a performance. The hierarchy of caste is not about feelings or morality. It is about power—which groups have it and which do not.” In this brilliant book, Isabel Wilkerson gives us a masterful portrait of an unseen phenomenon in America as she explores, through an immersive, deeply researched, and beautifully written narrative and stories about real people, how America today and throughout its history has been shaped by a hidden caste system, a rigid hierarchy of human rankings. Beyond race, class, or other factors, there is a powerful caste system that influences people’s lives and behavior and the nation’s fate. Linking the caste systems of America, India, and Nazi Germany, Wilkerson explores eight pillars that underlie caste systems across civilizations, including divine will, bloodlines, stigma, and more. Using riveting stories about people—including Martin Luther King, Jr., baseball’s Satchel Paige, a single father and his toddler son, Wilkerson herself, and many others—she shows the ways that the insidious undertow of caste is experienced every day. She documents how the Nazis studied the racial systems in America to plan their outcasting of the Jews; she discusses why the cruel logic of caste requires that there be a bottom rung for those in the middle to measure themselves against; she writes about the surprising health costs of caste, in depression and life expectancy, and the effects of this hierarchy on our culture and politics. Finally, she points forward to ways America can move beyond the artificial and destructive separations of human divisions, toward hope in our common humanity. Original and revealing, Caste: The Origins of Our Discontents is an eye-opening story of people and history, and a reexamination of what lies under the surface of ordinary lives and of American life today.
Author: Eli Maor
Author: Eli Maor
Author: Paul Nahin
Author: Martin Aigner
Author: Oliver Jeffers
Author: Donald Ervin Knuth
Author: 
Author: Aswath Damodaran
Author: Paul J. Nahin
Author: Isabel Wilkerson
Author: Euclid