From man's first act of counting to higher mathematics, from the smallest living creature to the dazzling reaches of outer space, Asimov is a master at "explaining complex material better than any other living person." (The New York Times) You'll learn: HOW to make a trillion seem small; WHY imaginary numbers are real; THE real size of the universe - in photons; WHY the zero isn't "good for nothing;" AND many other marvelous discoveries, in ASIMOV ON NUMBERS.

    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.

    It can also serve as a one-semester introductory course at the beginning graduate level, as a useful precursor to a more serious study of CFD in advanced books. It is presented in a very readable, informal, enjoyable style.

    It is elegant, clever and rewarding to learn, but it is hard. Even the best students find it challenging, and those who are unprepared often find it incomprehensible at first. This book aims to ensure that no student need be unprepared. It is not like other Analysis books. It is not a textbook containing standard content. Rather, it is designed to be read before arriving at university and/or before starting an Analysis course, or as a companion text once a course is begun. It provides a friendly and readable introduction to the subject by building on the students existing understanding of six key topics: sequences, series, continuity, differentiability, integrability and the real numbers. It explains how mathematicians develop and use sophisticated formal versions of these ideas, and provides a detailed introduction to the central definitions, theorems and proofs, pointing out typical areas of difficulty and confusion and explaining how to overcome these. The book also provides study advice focused on the skills that students need if they are to build on this introduction and learn successfully in their own Analysis courses: it explains how to understand definitions, theorems and proofs by relating them to examples and diagrams, how to think productively about proofs, and how theories are taught in lectures and books on advanced mathematics. It also offers practical guidance on strategies for effective study planning. The advice throughout is research-based and is presented in an engaging style that will be accessible to students who are new to advanced abstract mathematics.

    Includes detailed maps and information on all the characters and creatures contained in the medieval world of RuneScape.

    Included are a general introduction for beginners, common questions and observations, relationships between exercises and throws, an approach for safe mastery of rolling and ukemi skills, an anatomy of wristlocks, verbal self-defense, as well as exercises for individual off mat practice.

    Topics include: Trigonometric Identities & Equations, Circular Functions, and Polar Equations & Complex Numbers.

    

    Steve Olson followed the six 2001 contestants from the intense tryouts to the Olympiad’s nail-biting final rounds to discover not only what drives these extraordinary kids but what makes them both unique and typical. In the process he provides fascinating insights into the science of intelligence and learning and, finally, the nature of genius. Brilliant, but defying all the math-nerd stereotypes, these teens want to excel in whatever piques their curiosity, and they are curious about almost everything — music, games, politics, sports, literature. One team member is ardent about both water polo and creative writing. Another plays four musical instruments. For fun and entertainment during breaks, the Olympians invent games of mind-boggling difficulty. Though driven by the glory of winning this ultimate math contest, they are in many ways not so different from other teenagers, finding pure joy in indulging their personal passions. Beyond the the Olympiad, Olson sheds light on many questions, from why Americans feel so queasy about math, to why so few girls compete in the subject, to whether or not talent is innate. Inside the cavernous gym where the competition takes place, Count Down uncovers a fascinating subculture and its engaging, driven inhabitants.

    This book will offer students a broad outline of essential mathematics and will help to fill in the gaps in their knowledge. The author explains the basic points and a few key results of all the most important undergraduate topics in mathematics, emphasizing the intuitions behind the subject. The topics include linear algebra, vector calculus, differential and analytical geometry, real analysis, point-set topology, probability, complex analysis, set theory, algorithms, and more. An annotated bibliography offers a guide to further reading and to more rigorous foundations.

    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.

    The Gamer’s Edition is the ultimate guide to videogames, packed full of the most up-to-date news, achievements and developments in the gaming world, illustrated with the best and most exciting imagery from this year’s top titles. Complete with fascinating facts, figures and features on the most popular games, the latest edition also includes gameplay tips and hints, retro facts from classic games, and your favorite characters battling it out against each other in our new "Vs" feature. One of the features we’ve included here brings you the results of our readers' poll of the most visually stunning videogame graphics ever. As game graphics become ever more stylized, fast-moving and impressive, we guide you through a visual feast of the 50 titles you ranked as the very greatest. To participate in the poll for next year’s book, please visit www.guinnessworldrecords.com/gamers. We’d love to hear from you, and you could win yourself a prize!

    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.

    Over 100 problems at ends of chapters. Answers in back of book. 1962 edition.

    Roth (Reg $2.99)The Mighty Hunter by Michelle M. Pillow (Reg $3.99)Devils Among Us by Mandy M. Roth (Reg $2.99)Call of the Sea by Michelle M. Pillow (Reg $2.99)That is nearly a $12 savings off cover price! PLUS get the Bonus Story:  Red Light Specialists by Mandy M. Roth & Michelle M. PillowSacred Places by Mandy M. RothCoyle O'Caha, a seven-hundred-year-old immortal, druid sorcerer, is a famed warrior among his kind and a legendary ladies' man--but that doesn't mean he hasn't spent his life looking for his soulmate. That one woman who will make him feel whole. When Deri walks into his seaside pub, clearly running from something or someone, it's all he can do to not sweep her off her feet and claim her right then and there. It's as if the goddess is mocking him. Not only is his mate immune to his charms and his magik, she's human.Deri Sullivan's new boss has a Scottish lilt that makes her knees weak. The problem is he's a certified ladies' man. And she's sworn off those types--for good. If only she could stop dreaming about him in ways that would make any girl blush. See, she has a secret, and even if she wanted to let Coyle into her bed, she couldn't actually let him into her life. Witches and humans simply don't mix.The Mighty Hunter by Michelle M. PillowCaderyn the Hunter, the sexiest-and perhaps craziest-man Bridget has ever laid eyes on may have rescued her from death, but who's going to rescue her from him? With a deliciously hot body and all the right moves, the man is a walking seduction that's too hard to resist. There's only one problem. Caderyn claims they're in the Abyss, living on a cursed island along the deep ocean floor. And, if that wasn't bad enough, he says he's a merman.Devils Among Us by Mandy M. RothKeane has lived for centuries--taking what he wants, doing as he pleases. When a beautiful young woman catches his attention, he finds himself drawn to her like a moth to a flame. He knows better than to expect more than pleasures of the flesh from her, yet he can't seem to stop himself. Seducing her will prove to be a dangerous challenge. Keeping her will prove nearly impossible.
Hannah's new secret admirer is more than she bargained for. As a slayer sworn to police the demons who dare to roam the earth, she has enough to worry about. She doesn't need some mysterious guy trying to seduce her--especially one who puts her at odds with what she was born to do. She's no match for Keane's seductive powers, and when his brother, Janco, announces he too is drawn to her, she knows she's in way over her head. But she can't stop herself. She wants them both and they want her.Note: This title was previously released under another title and under the pen name Darby London.
Call of the Sea by Michelle M. PillowCursed by the power of the Cancerian crab, Ceana is doomed to spend her eternity in the ocean as a mermaid. Her only relief is on a full moon, when she becomes human and must find shore. Centuries have passed and she's all but given up on the one who could save her. Brief passion is all she has and she's willing to take what she can get--especially if it's with an intriguing lycan, Ian O'Connell, who's untamed nature just might be her salvation.Red Light Specialists by Mandy M. Roth & Michelle M. PillowThree sexy secret agents. Three even sexier missions...