This book charts its growth and development by sampling from the work of some of its foremost practitioners, beginning with Isaac Newton and Gottfried Wilhelm Leibniz in the late seventeenth century and continuing to Henri Lebesgue at the dawn of the twentieth--mathematicians whose achievements are comparable to those of Bach in music or Shakespeare in literature. William Dunham lucidly presents the definitions, theorems, and proofs. Students of literature read Shakespeare; students of music listen to Bach, he writes. But this tradition of studying the major works of the masters is, if not wholly absent, certainly uncommon in mathematics. This book seeks to redress that situation.Like a great museum, The Calculus Gallery is filled with masterpieces, among which are Bernoulli's early attack upon the harmonic series (1689), Euler's brilliant approximation of pi (1779), Cauchy's classic proof of the fundamental theorem of calculus (1823), Weierstrass's mind-boggling counterexample (1872), and Baire's original category theorem (1899). Collectively, these selections document the evolution of calculus from a powerful but logically chaotic subject into one whose foundations are thorough, rigorous, and unflinching--a story of genius triumphing over some of the toughest, most subtle problems imaginable.Anyone who has studied and enjoyed calculus will discover in these pages the sheer excitement each mathematician must have felt when pushing into the unknown. In touring The Calculus Gallery, we can see how it all came to be.

    This book can be cut, drawn in, folded into shapes and will even take you to the fourth dimension. So join stand-up mathematician Matt Parker on a journey through narcissistic numbers, optimal dating algorithms, at least two different kinds of infinity and more.

    Astronomer John Barrow takes an intriguing look at the limits of science, who argues that there are things that are ultimately unknowable, undoable, or unreachable.

    This hilarious and informative book is designed for anyone who is sci-curious and wants to know more about the world around them, especially the elements of everyday science that other books ignore.

    Now, in an exciting, fast-paced historical narrative ranging across two centuries, Mark Ronan takes us on an exhilarating tour of this final mathematical quest. Ronan describes how the quest to understand symmetry really began with the tragic young genius Evariste Galois, who died at the age of 20 in a duel. Galois, who spent the night before he died frantically scribbling his unpublished discoveries, used symmetry to understand algebraic equations, and he discovered that there were building blocks or atoms of symmetry. Most of these building blocks fit into a table, rather like the periodic table of elements, but mathematicians have found 26 exceptions. The biggest of these was dubbed the Monster--a giant snowflake in 196,884 dimensions. Ronan, who personally knows the individuals now working on this problem, reveals how the Monster was only dimly seen at first. As more and more mathematicians became involved, the Monster became clearer, and it was found to be not monstrous but a beautiful form that pointed out deep connections between symmetry, string theory, and the very fabric and form of the universe. This story of discovery involves extraordinary characters, and Mark Ronan brings these people to life, vividly recreating the growing excitement of what became the biggest joint project ever in the field of mathematics. Vibrantly written, Symmetry and the Monster is a must-read for all fans of popular science--and especially readers of such books as Fermat's Last Theorem.

    Ten dimensions? Most of us have barely gotten used to the idea that there are four.Using simple geometry and an easygoing writing style, author Rob Bryanton starts with the lower dimensions that we are all familiar with, then uses those concepts to build one layer upon another, ultimately arriving at a way of imagining the tenth dimension.Part scientific exploration, part philosophy, this unique book touches upon such diverse topics as dark matter, Feynman's "sum over paths", the quantum observer, and the soul. It is aimed at anyone interested in leading-edge theories about cosmology and the nature of reality, but it is not about mainstream physics. Rather, Imagining the Tenth Dimension is a mind-expanding exercise that could change the way you view this incredible universe in which we live.

    At the time we were hoping that our approach of writing a book which would be both accessible without mathematical sophistication and portray these exiting new fields in an authentic manner would find an audience. Now we know it did. We know from many reviews and personal letters that the book is used in a wide range of ways: researchers use it to acquaint themselves, teachers use it in college and university courses, students use it for background reading, and there is also a substantial audience of lay people who just want to know what chaos and fractals are about. Every book that is somewhat technical in nature is likely to have a number of misprints and errors in its first edition. Some of these were caught and brought to our attention by our readers. One of them, Hermann Flaschka, deserves to be thanked in particular for his suggestions and improvements. This second edition has several changes. We have taken out the two appendices from the firstedition. At the time of the first edition Yuval Fishers contribution, which we published as an appendix was probably the first complete expository account on fractal image compression. Meanwhile, Yuvals book Fractal Image Compression: Theory and Application appeared and is now the publication to refer to.

     China Clipper is filled with fact but reads like a spy novel. In the 1930s the political stability of the U.S. was collapsing. The U.S. was dangerously vulnerable. Through a popular policy of isolationism and international treaty the U.S. had only the most rudimentary and feeble defenses for an inevitable war with Japan. Japan, on the other hand, was ruthlessly storming through Manchuria, Korea and China slaughtering millions. The U.S. was stymied but Pan American Airways' proposed commercial seaplane bases at Pearl Harbor, Midway, Wake, Guam and Manila (all attacked on December 7 and 8 1941) offered the perfect ruse to begin fortifying the Pacific in 1934. You'll discover how the government worked covertly with Pan American to build Pacific island defenses, how Pan American became a monopoly and powerhouse airline. While China Clipper can be read as an exciting war story based on true events, its major power lies in the unique recreation of people and events heretofore previously unknown. Tautly written, filled with vivid characterizations, China Clipper is a compelling and a frightening examination of the forces that eventually caused Pearl Harbor to explode - and - the world go to war. China Clipper also follows the day-by-day flight of American citizen and Chinese patriot, Wah Sun Choy, in July 1938 on the Hawaii Clipper bound for China. A successful New Jersey businessman, Wah Sun Choy had raised over $3 million to help bolster China's war with Japan. But his purpose - to deliver the money to the Chinese Nationalists - clashed with the avowed aims of Japan. Between Guam and Manila, the elegant flying boat completely disappeared. Why the 26-ton flying boat vanished and how is explored in depth - for the first time - in China Clipper. China Clipper breaks new ground and garnered stellar reviews - “… new theory on the mystery of the Hawaii Clipper…” New York Times --- “...compelling, even romantic…” San Francisco Chronicle --- “...this is exciting reading…” San Diego Union --- “…good tale for spy , aviation and WWII buffs…” Nashville Banner

    It is an invitation to my thoughts

      “An unexpectedly intimate look into a highly accomplished man, his colleagues and friends, the development of a new field of geometric analysis, and a glimpse into a truly uncommon mind.”—Nina MacLaughlin, Boston Globe “Engaging, eminently readable . . . For those with a taste for elegant and largely jargon-free explanations of mathematics, The Shape of a Life promises hours of rewarding reading.”—Judith Goodstein, American Scientist  Harvard geometer and Fields medalist Shing-Tung Yau has provided a mathematical foundation for string theory, offered new insights into black holes, and mathematically demonstrated the stability of our universe. In this autobiography, Yau reflects on his improbable journey to becoming one of the world’s most distinguished mathematicians. Beginning with an impoverished childhood in China and Hong Kong, Yau takes readers through his doctoral studies at Berkeley during the height of the Vietnam War protests, his Fields Medal–winning proof of the Calabi conjecture, his return to China, and his pioneering work in geometric analysis. This new branch of geometry, which Yau built up with his friends and colleagues, has paved the way for solutions to several important and previously intransigent problems. With complicated ideas explained for a broad audience, this book offers readers not only insights into the life of an eminent mathematician, but also an accessible way to understand advanced and highly abstract concepts in mathematics and theoretical physics.

    It was a dream that would lead him into a nightmare of sexual and physical abuse from which he has still not recovered. Stewart was abused every day for four years by his junior football coach. He suffered in silence and embarked on a successful career that saw him play for Manchester City, Tottenham Hotspur, Liverpool and Sunderland, scoring in an FA Cup final and winning caps for England. Behind it all, he was a broken man – many times he wished he could end his life. He turned to drink and drugs as a way of coping with his devastating secret. In 2016, Stewart was sitting at his office desk one morning when he read a Daily Mirror story about a footballer who had been abused. His world was about to change… Paul Stewart: Damaged is one of the most powerful and emotionally charged football life stories you will read.

    It's nothing like the suburb you might live in . . . Unless, that is, an insane, Listerine-guzzling Realtor sold you your house? Or perhaps your postman happens to have a disturbing relationship with his claw hammer? A grieving Dan LaBarbara knows something is different in Helltown as soon as he comes back home. Yeah, sure, the town always been a little off. You can feel that about the place, like if you stepped into a house whose only occupants were freshly murdered corpses in an upstairs bedroom. But this is something else entirely. Standing in his little brother Barbie's basement workshop, holding one of those dioramas Barbie's been building since the accident, the ones that seem to move when you hold them, Dan can feel Barbie's terror. Barbie must know something is coming, something big, something evil. He's trying to warn Dan in the only way he knows. Why else would Barbie build a diorama depicting a man-sized version of a cartoon rabbit with bloody teeth about to devour a trembling teenager? Why else would he spend so much time crafting an intricate model of Death standing over a pimply teenager in the school library? And let's not even talk about that little model of the mob of undead surrounding the massive tower of vicious black spines behind the high school. Hilltown has a story to tell, and the lonely brain-damaged man who builds magical dioramas in his basement workshop has been telling it all along. As the evil closes in around them, Dan and his new love interest Jessica must do the impossible: save everyone one in Hilltown before it's too late.

    Gilroy won the Pulitzer Prize for his play "The Subject Was Roses," and 43 years since he began work on "Lake." In the vein of Edgar Lee Masters's "Spoon River Anthology," Gilroy tells the story of a summer vacation community in Northern New Jersey over the course of 25 years, the early 1920's through the late '40's. Each chapter is the voice of another character; some are monologues, some more interior than that. The story works its way around the lake, catching a vignette/snapshot/moment from each turn of the wheel. It's a remarkable read from an 86-year-old writer, still at the top of his game.

    He proposes his solution.

    do it? How should you flip your mattress to get the maximum wear out of it? How does Google search the Internet? How many people should you date before settling down? Believe it or not, math plays a crucial role in answering all of these questions and more.Math underpins everything in the cosmos, including us, yet too few of us understand this universal language well enough to revel in its wisdom, its beauty — and its joy. This deeply enlightening, vastly entertaining volume translates math in a way that is at once intelligible and thrilling. Each trenchant chapter of The Joy of x offers an “aha!” moment, starting with why numbers are so helpful, and progressing through the wondrous truths implicit in π, the Pythagorean theorem, irrational numbers, fat tails, even the rigors and surprising charms of calculus. Showing why he has won awards as a professor at Cornell and garnered extensive praise for his articles about math for the New York Times, Strogatz presumes of his readers only curiosity and common sense. And he rewards them with clear, ingenious, and often funny explanations of the most vital and exciting principles of his discipline.Whether you aced integral calculus or aren’t sure what an integer is, you’ll find profound wisdom and persistent delight in The Joy of x.