Einstein said that the most incredible thing about our universe was that it was comprehensible at all. As Kitty Ferguson explains, Pythagoras had much the same idea - but 2,500 years earlier. Though known by many only for his famous Theorem, in fact the pillars of our scientific tradition - belief that the universe is rational, that there is unity to all things, and that numbers and mathematics are a powerful guide to truth about nature and the cosmos - hark back to the convictions of this legendary scholar. Kitty Ferguson brilliantly evokes Pythagoras' ancient world of, showing how ideas spread in antiquity, and chronicles the incredible influence he and his followers have had on so many extraordinary people in the history of Western thought and science. 'Pythagoras' influence on the ideas, and therefore on the destiny, of the human race was probably greater than that of any single man before or after him' - Arthur Koestler.

    There is joy and beauty in mathematics, and in more than two dozen essays drawn from his popular “Good Math” blog, you’ll find concepts, proofs, and examples that are often surprising, counterintuitive, or just plain weird.Mark begins his journey with the basics of numbers, with an entertaining trip through the integers and the natural, rational, irrational, and transcendental numbers. The voyage continues with a look at some of the oddest numbers in mathematics, including zero, the golden ratio, imaginary numbers, Roman numerals, and Egyptian and continuing fractions. After a deep dive into modern logic, including an introduction to linear logic and the logic-savvy Prolog language, the trip concludes with a tour of modern set theory and the advances and paradoxes of modern mechanical computing.If your high school or college math courses left you grasping for the inner meaning behind the numbers, Mark’s book will both entertain and enlighten you.

    This sharply intelligent, consistently provocative book takes the reader on an astonishing, thought-provoking voyage into the realm of delightful uncertainty--a world of paradox in which logical argument leads to contradiction and common sense is seemingly rendered irrelevant.

    It is a bridge from the computational courses (such as calculus or differential equations) that students typically encounter in their first year of college to a more abstract outlook. It lays a foundation for more theoretical courses such as topology, analysis and abstract algebra. Although it may be more meaningful to the student who has had some calculus, there is really no prerequisite other than a measure of mathematical maturity. Topics include sets, logic, counting, methods of conditional and non-conditional proof, disproof, induction, relations, functions and infinite cardinality.

    His reporting about Enron’s bankruptcy and the controversy surrounding it was being used by NPR, he was hot on the trail of a possible connection to an Army Secretary, and he was one of the few reporters granted an interview with Enron President Jeff Skilling. And then it all came crashing down.When Salon was forced to take down Leopold’s article about Army Secretary Thomas E. White’s role in the Enron bankruptcy, his world began to unravel. Ostracized from the mainstream media, slipping into a deep depression, with no prospects on the horizon, Jason Leopold was forced to start from scratch.News Junkie is Jason’s story, an addict to the core, he traded an early life of drugs and crime for the equally addictive world of breaking news. From the top of the reporting world to its dregs and back again, Leopold takes us on a journey through some of the biggest events of the recent past, all the while letting us into his inner struggles.With an unforgettable array of characters, from weepy editors and love-starved politicos to steroid-pumped mobsters who intimidate the author into selling drugs and stolen goods, News Junkie shows how a man once fueled by raging fear and self-hatred transforms his life, regenerated by love, sobriety and a new, harmonious career with the media.

    The producers refused. In Doctor Who, the Twelfth Doctor's costume was inspired by David Bowie. In Game of Thrones, Hodor's real name is Wyllis. Matthew Perry plays Chandler in Friends. He says he can't remember a single thing from the show throughout three seasons. In The Simpsons, Hans Moleman has died at least 15 times. Many mobsters contacted James Gandolfini to tell him his performance was excellent in The Sopranos but warned him not to wear shorts in the show. Millie Bobby Brown was 11 when she was cast as Eleven in Stranger Things. The Tourette Syndrome Association praised the show, South Park, for its accurate portrayal of the Tourette's condition. In Family Guy, Meg's full name is Megatron Griffin.

    New co-authors--Irl Bivens and Stephen Davis--from Davidson College; both distinguished educators and writers.* More emphasis on graphing calculators in exercises and examples, including CAS capabilities of graphing calculators.* More problems using tabular data and more emphasis on mathematical modeling.

    He is widely regarded as a war hero grossly mistreated by his unappreciative country and it has become hard to disentangle the real man from the story. It is easy to cast him as a misfit, the stereotypical professor. But actually Alan Turing was never a professor, and his nickname "Prof" was given by his codebreaking friends at Bletchley Park. Now, Alan Turing’s nephew, Dermot Turing, has taken a fresh look at the influences on Alan Turing’s life and creativity, and the later creation of a legend. Dermot’s vibrant and entertaining approach to the life and work of a true genius makes this a fascinating read. This unique family perspective features insights from secret documents only recently released to the UK National Archives and other sources not tapped by previous biographers, looks into the truth behind Alan’s conviction for gross indecency, and includes previously unpublished photographs from the Turing family album.

    Wilson 's mesmerizing evocation of his Southern childhood in The Naturalist and Anthill, Alex Harris approached the scientist about collaborating on a book about Wilson 's native world of Mobile, Alabama. Perceiving that Mobile was a city small enough to be captured through a lens yet old enough to have experienced a full epic cycle of tragedy and rebirth, the photographer and the naturalist joined forces to capture the rhythms of this storied Alabama Gulf region through a swirling tango of lyrical words and breathtaking images. With Wilson tracing his family 's history from the Civil War through the Depression when mule-driven wagons still clogged the roads to Mobile 's racial and environmental struggles to its cultural triumphs today, and with Harris stunningly capturing the mood of a radically transformed city that has adapted to the twenty-first century, the book becomes a universal story, one that tells us where we all come from and why we are here.

    They traveled deep into a forbidding and uncharted African wilderness together, coming near death on several occasions. Ultimately, Burton and Speke arrived at two different conclusions about the Nile's origin. Before leaving Africa they became sworn enemies. The feud became an international sensation upon their return to England, and a public debate was scheduled to decide whose theory was correct. What followed was a massive spectacle with an outcome no one could have ever foreseen.In The Explorers, New York Times bestselling author Martin Dugard shares the rich saga of the Burton and Speke expedition. To better understand their motivations and ultimate success, Dugard guides readers through the seven vital traits that Burton and Speke, as well as many of history's legendary explorers, called upon to see their impossible journeys through to the end: curiosity, hope, passion, courage, independence, self-discipline, and perserverence. In doing so, Dugard demonstrates that we are all explorers, and that these traits have a most practical application in everyday life.The Explorers is a book about survival and courage. It is also a book about stepping into the darkness with confidence and grace, aware on some profound level's - as were Burton and Speke - that the Promised Land we are searching for is not some lost corner of the world, but a place within ourselves.

    While pure mathematics is mostly interested in abstract structures, applied mathematics sits at the interface between this abstract world and the world inwhich we live. This area of mathematics takes its nourishment from society and science and, in turn, provides a unified way to understand problems arising in diverse fields.This Very Short Introduction presents a compact yet comprehensive view of the field of applied mathematics, and explores its relationships with (pure) mathematics, science, and engineering. Explaining the nature of applied mathematics, Alain Goriely discusses its early achievements in physics andengineering, and its development as a separate field after World War II. Using historical examples, current applications, and challenges, Goriely illustrates the particular role that mathematics plays in the modern sciences today and its far-reaching potential.ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, andenthusiasm to make interesting and challenging topics highly readable.

    A Key Strength Of This Text Is Zill'S Emphasis On Differential Equations As Mathematical Models, Discussing The Constructs And Pitfalls Of Each. The Third Edition Is Comprehensive, Yet Flexible, To Meet The Unique Needs Of Various Course Offerings Ranging From Ordinary Differential Equations To Vector Calculus. Numerous New Projects Contributed By Esteemed Mathematicians Have Been Added. Key Features O The Entire Text Has Been Modernized To Prepare Engineers And Scientists With The Mathematical Skills Required To Meet Current Technological Challenges. O The New Larger Trim Size And 2-Color Design Make The Text A Pleasure To Read And Learn From. O Numerous NEW Engineering And Science Projects Contributed By Top Mathematicians Have Been Added, And Are Tied To Key Mathematical Topics In The Text. O Divided Into Five Major Parts, The Text'S Flexibility Allows Instructors To Customize The Text To Fit Their Needs. The First Eight Chapters Are Ideal For A Complete Short Course In Ordinary Differential Equations. O The Gram-Schmidt Orthogonalization Process Has Been Added In Chapter 7 And Is Used In Subsequent Chapters. O All Figures Now Have Explanatory Captions. Supplements O Complete Instructor'S Solutions: Includes All Solutions To The Exercises Found In The Text. Powerpoint Lecture Slides And Additional Instructor'S Resources Are Available Online. O Student Solutions To Accompany Advanced Engineering Mathematics, Third Edition: This Student Supplement Contains The Answers To Every Third Problem In The Textbook, Allowing Students To Assess Their Progress And Review Key Ideas And Concepts Discussed Throughout The Text. ISBN: 0-7637-4095-0

     The Viking Age! A brief footprint in the course of history that impacted generations hundreds of years into the future. You will dive into the depths of Scandinavia to find out what made the Vikings the most feared group of people in the European Middle Ages. Experts at warfare and navigating the high seas, the Vikings were on a mission and would not let anyone stand in their way! Brutal conquerors they were, but the Vikings were no mere savages. The Vikings had a unique culture and society that spread much influence through transcontinental trade and exploration into unknown worlds. Navigate the Vikings' journey from their first encounters with the inhabitants of the British Isles to their discoveries of Greenland and North America. Along the way, meet some of the most famous Vikings to ever walk the face of the Earth. You will meet the infamous legend Ragnar Lothbrok whose very existence is shrouded in mystery. Step into the shoes of the first European explorer to step foot onto the lands of North America, Leif Erikson. Countless other warriors, kings, and explorers left their mark that paved the path the world has taken to this very day. Get your copy now! Relive their journeys through the eyes of a Viking and discover the makings of this fascinating civilization!

    Traditional mathematics teaching is largely about solving exactly stated problems exactly, yet life often hands us partly defined problems needing only moderately accurate solutions. This engaging book is an antidote to the rigor mortis brought on by too much mathematical rigor, teaching us how to guess answers without needing a proof or an exact calculation.In Street-Fighting Mathematics, Sanjoy Mahajan builds, sharpens, and demonstrates tools for educated guessing and down-and-dirty, opportunistic problem solving across diverse fields of knowledge--from mathematics to management. Mahajan describes six tools: dimensional analysis, easy cases, lumping, picture proofs, successive approximation, and reasoning by analogy. Illustrating each tool with numerous examples, he carefully separates the tool--the general principle--from the particular application so that the reader can most easily grasp the tool itself to use on problems of particular interest. Street-Fighting Mathematics grew out of a short course taught by the author at MIT for students ranging from first-year undergraduates to graduate students ready for careers in physics, mathematics, management, electrical engineering, computer science, and biology. They benefited from an approach that avoided rigor and taught them how to use mathematics to solve real problems.Street-Fighting Mathematics will appear in print and online under a Creative Commons Noncommercial Share Alike license.

    In the Fourth Edition CALCULUS, EARLY TRANSCENDENTALS these functions are introduced in the first chapter and their limits and derivatives are found in Chapters 2 and 3 at the same time as polynomials and other elementary functions. In this Fourth Edition, Stewart retains the focus on problem solving, the meticulous accuracy, the patient explanations, and the carefully graded problems that have made these texts word so well for a wide range of students. All new and unique features in CALCULUS, FOURTH EDITION have been incorporated into these revisions also.