By presenting actual experiences and analyzing them as they are described, the author conveys the developmental thought processes employed and shows a style of thinking that leads to successful results is something that can be learned. Along with spectacular successes, the author also conveys how failures contributed to shaping the thought processes. Provides the reader with a style of thinking that will enhance a person's ability to function as a problem-solver of complex technical issues. Consists of a collection of stories about the author's participation in significant discoveries, relating how those discoveries came about and, most importantly, provides analysis about the thought processes and reasoning that took place as the author and his associates progressed through engineering problems.

    Feynman gave his famous course on computation at the California Institute of Technology, he asked Tony Hey to adapt his lecture notes into a book. Although led by Feynman, the course also featured, as occasional guest speakers, some of the most brilliant men in science at that time, including Marvin Minsky, Charles Bennett, and John Hopfield. Although the lectures are now thirteen years old, most of the material is timeless and presents a “Feynmanesque” overview of many standard and some not-so-standard topics in computer science such as reversible logic gates and quantum computers.

    It shouldn't be like that. Learning calculus without mechanics is incredibly boring. Learning mechanics without calculus is missing the point. This textbook integrates both subjects and highlights the profound connections between them.This is the deal. Give me 350 pages of your attention, and I'll teach you everything you need to know about functions, limits, derivatives, integrals, vectors, forces, and accelerations. This book is the only math book you'll need for the first semester of undergraduate studies in science.With concise, jargon-free lessons on topics in math and physics, each section covers one concept at the level required for a first-year university course. Anyone can pick up this book and become proficient in calculus and mechanics, regardless of their mathematical background.Visit http://minireference.com for more details.

    His yearly gatherings of short and inventive problems were easily his most anticipated math columns. Loyal readers would savor the wit and elegance of his explorations in physics, probability, topology, and chess, among others. Grouped by subject and arrayed from easiest to hardest, the puzzles gathered here, which complement the lengthier, more involved problems in The Colossal Book of Mathematics, have been selected by Gardner for their illuminating; and often bewildering; solutions. Filled with over 300 illustrations, this new volume even contains nine new mathematical gems that Gardner, now ninety, has been gathering for the last decade. No amateur or expert math lover should be without this indispensable volume; a capstone to Gardner's seventy-year career.

    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.

    Some of these problems are new, while others have puzzled and bewitched thinkers across the ages. Such challenges offer a tantalizing glimpse of the field's unlimited potential, and keep mathematicians looking toward the horizons of intellectual possibility.In Visions of Infinity, celebrated mathematician Ian Stewart provides a fascinating overview of the most formidable problems mathematicians have vanquished, and those that vex them still. He explains why these problems exist, what drives mathematicians to solve them, and why their efforts matter in the context of science as a whole. The three-century effort to prove Fermat's last theorem—first posited in 1630, and finally solved by Andrew Wiles in 1995—led to the creation of algebraic number theory and complex analysis. The Poincaré conjecture, which was cracked in 2002 by the eccentric genius Grigori Perelman, has become fundamental to mathematicians' understanding of three-dimensional shapes. But while mathematicians have made enormous advances in recent years, some problems continue to baffle us. Indeed, the Riemann hypothesis, which Stewart refers to as the “Holy Grail of pure mathematics,” and the P/NP problem, which straddles mathematics and computer science, could easily remain unproved for another hundred years.An approachable and illuminating history of mathematics as told through fourteen of its greatest problems, Visions of Infinity reveals how mathematicians the world over are rising to the challenges set by their predecessors—and how the enigmas of the past inevitably surrender to the powerful techniques of the present.

    I have selected a small set of common errors in reasoning and visualized them using memorable illustrations that are supplemented with lots of examples. The hope is that the reader will learn from these pages some of the most common pitfalls in arguments and be able to identify and avoid them in practice.

    Zach Galifianakis, start of The Hangover, will provide the foreword.Everyone knows the only thing more painful than relationships is not having them--or is it the other way around? Whatever, says author and cartoonist Nick Galifianakis. In his first book, If You Loved Me, You'd Think This Was Cute: Uncomfortably True Cartoons About You, he makes the case that either way, the only recourse is to embrace our frailties and laugh. Taken from Carolyn Hax's nationally syndicated advice column, this compilation spins the pain of dating, mothers-in-law, "beneficial" friends and more into ... the pain of self-recognition. The intricately drawn pen-and-ink panels and pointed captions explore some of life's most uncomfortable truths, exposing the humanity in our mistakes, the underbelly of our triumphs and the sheer heroism of trying and trying again.Throughout this character study of men and women (and the dogs who love them), Galifianakis mines our hopes and insecurities for a unifying truth: If we can't laugh at ourselves, he'll do it for us."Nick snuck me into my first comedy club when I was only a back-acned teenager. The back acne went away but the comedy stuck. I know that last sentence sounds like a lyric from a Joan Baez song, but trust me, it's original." --Zach Galifianakis, from the foreword"Nick's cartoons are funny, witty, and smart. But what makes them so special are how universal and true they are, making the laughs they bring all the more poignant. Relationships, in all their glory, have never been captured quite so succinctly and with such charm." --Amy B. Harris, writer/producer for Sex and the City"Nick Galifianakis understands relationships unbelievably well, for a guy. My guess is he actually menstruates." --Gene Weingarten, two-time Pulitzer Prize winner, Washington Post humor columnist

    To commemorate its 100th anniversary the heads of newspaper Tozai Shimbun come up with a plan to publish the “Ultimate Menu”. The assignment is given to journalist Yamaoka Shiro, the protagonist of the series. With the help of a female coworker, Kurita Yuko, Yamaoka starts off on what can only be termed an epic saga to find the dishes hat will go into the “Ultimate Menu”. The subject of volume 1 is Nishon ryori, or Japanese cuisine, featuring stories on subjects like how to prepare a proper dashi (broth that is one of the building blocks of Japanese cooking), or matcha (the powdered green tea used in the tea ceremony), or red snapper sashimi. The subjects of the later volumes are: 2) sake, 3) fish, 4) vegetables, 5) rice dishes, 6) udon, and 7) izakaya or “pub” food.

    More than two centuries after Euler's death, it is still regarded as a conceptual diamond of unsurpassed beauty. Called Euler's identity or God's equation, it includes just five numbers but represents an astonishing revelation of hidden connections. It ties together everything from basic arithmetic to compound interest, the circumference of a circle, trigonometry, calculus, and even infinity. In David Stipp's hands, Euler's identity formula becomes a contemplative stroll through the glories of mathematics. The result is an ode to this magical field.

    Inside these pages some of the biggest (and smallest) mysteries of the natural world are explained in essays by real working scientists, which are then illustrated by artists given free rein to be as literal or as imaginative as they like. The result is a celebration of the wonder that inspires every new discovery. Featuring work by such contemporary luminaries as Lisa Congdon, Jen Corace, Neil Farber, Susie Ghahremani, Jeremyville, and many more, this is a work of scientific and artistic exploration to pique the interest of both the intellectually and imaginatively curious.

    Crumb's Kafka is a vibrant biography that examines this Czech writer and his works in a way that a bland texbook never could! R. Crumb's Kafka goes far beyond being explication or popularization or survey. It's a work of art in its own right, a very rare example of what happens when one very idiosyncratic artist absorbs another into his worldview without obliterating the individuality of the absorbed one. Crumb's art is filled with Kafka's insurmountable neuroses. They are all there: Gregor Samsa's sister, the luscious Milena Jesenska, the Advacate's "nurse" Leni, Olda and Frieda, and the ravishing Dora Diamant-drawn in that mixture of self-commandtantalizing knowingness, and sly sexuality, that amazonian randines and thick-limbed physicality that is Crumb.Crumb's idiosyncratic illustrations add a new dimension to the already idiosyncratic world of Kafka. Includes adaptations of "The Judgment," "The Trial," "The Castle," "A Hunger Artist," and "The Metamorphosis."

     This graphic novel recounts the spiritual odyssey of philosopher Bertrand Russell. In his agonized search for absolute truth, he crosses paths with thinkers like Gottlob Frege, David Hilbert & Kurt Gödel, & finds a passionate student in Ludwig Wittgenstein. But his most ambitious goal—to establish unshakable logical foundations of mathematics—continues to loom before him. Thru love & hate, peace & war, he persists in the mission threatening to claim both his career & happiness, finally driving him to the brink of insanity. This story is at the same time a historical novel & an accessible explication of some of the biggest ideas of mathematics & modern philosophy. With rich characterizations & atmospheric artwork, it spins the pursuit of such ideas into a satisfying tale. Probing, layered, the book throws light on Russell’s inner struggles while setting them in the context of the timeless questions he tried to answer. At its heart, Logicomix is a story about the conflict between ideal rationality & the flawed fabric of reality.

    The Clay Mathematics Institute is offering a prize of $1 million to anyone who can discover a general solution to the problem. In this book, Avner Ash and Robert Gross guide readers through the mathematics they need to understand this captivating problem.The key to the conjecture lies in elliptic curves, which are cubic equations in two variables. These equations may appear simple, yet they arise from some very deep--and often very mystifying--mathematical ideas. Using only basic algebra and calculus while presenting numerous eye-opening examples, Ash and Gross make these ideas accessible to general readers, and in the process venture to the very frontiers of modern mathematics. Along the way, they give an informative and entertaining introduction to some of the most profound discoveries of the last three centuries in algebraic geometry, abstract algebra, and number theory. They demonstrate how mathematics grows more abstract to tackle ever more challenging problems, and how each new generation of mathematicians builds on the accomplishments of those who preceded them. Ash and Gross fully explain how the Birch and Swinnerton-Dyer Conjecture sheds light on the number theory of elliptic curves, and how it provides a beautiful and startling connection between two very different objects arising from an elliptic curve, one based on calculus, the other on algebra.