Hardy, in the years before World War I. Through their eyes the reader is taken on a journey through numbers theory. Ramanujan would regularly telescope 12 steps of logic into two - the effect is said to be like Dr Watson in the train of some argument by Sherlock Holmes. The language of symbols and infinitely large (and small) regions of mathematics should be rendered with clarity for the general reader.

    These themes include mathematical reasoning, combinatorial analysis, discrete structures, algorithmic thinking, and enhanced problem-solving skills through modeling. Its intent is to demonstrate the relevance and practicality of discrete mathematics to all students. The Fifth Edition includes a more thorough and linear presentation of logic, proof types and proof writing, and mathematical reasoning. This enhanced coverage will provide students with a solid understanding of the material as it relates to their immediate field of study and other relevant subjects. The inclusion of applications and examples to key topics has been significantly addressed to add clarity to every subject. True to the Fourth Edition, the text-specific web site supplements the subject matter in meaningful ways, offering additional material for students and instructors. Discrete math is an active subject with new discoveries made every year. The continual growth and updates to the web site reflect the active nature of the topics being discussed. The book is appropriate for a one- or two-term introductory discrete mathematics course to be taken by students in a wide variety of majors, including computer science, mathematics, and engineering. College Algebra is the only explicit prerequisite.

    The gold standard for attaining security is cryptography because it provides the most reliable tools for storing or transmitting digital information. Written by Niels Ferguson, lead cryptographer for Counterpane, Bruce Schneier's security company, and Bruce Schneier himself, this is the much anticipated follow-up book to Schneier's seminal encyclopedic reference, Applied Cryptography, Second Edition (0-471-11709-9), which has sold more than 150,000 copies. Niels Ferguson (Amsterdam, Netherlands) is a cryptographic engineer and consultant at Counterpane Internet Security. He has extensive experience in the creation and design of security algorithms, protocols, and multinational security infrastructures. Previously, Ferguson was a cryptographer for DigiCash and CWI. At CWI he developed the first generation of off-line payment protocols. He has published numerous scientific papers. Bruce Schneier (Minneapolis, MN) is Founder and Chief Technical Officer at Counterpane Internet Security, a managed-security monitoring company. He is also the author of Secrets and Lies: Digital Security in a Networked World (0-471-25311-1).

    Be it hiring a new employee, investing in a financial interest, speaking with your child about drugs, confronting your significant other about suspected infidelity, or even dating someone new, having the ability to unmask a lie can have far-reaching and even life-altering consequences.As former CIA officers, Philip Houston, Michael Floyd, and Susan Carnicero are among the world’s best at recognizing deceptive behavior. Spy the Lie chronicles the captivating story of how they used a methodology Houston developed to detect deception in the counterterrorism and criminal investigation realms, and shows how these techniques can be applied in our daily lives.Through fascinating anecdotes from their intelligence careers, the authors teach listeners how to recognize deceptive behaviors, both verbal and nonverbal, that we all tend to display when we respond to questions untruthfully. For the first time, they share with the general public their methodology and their secrets to the art of asking questions that elicit the truth.Spy the Lie is a game-changer. You may never experience another book that has a more dramatic impact on your career, your relationships, or your future.©2012 Philip Houston, Susan Carnicero, Don Tennant, Michael Floyd (P)2012 Macmillan

    The long-anticipated revision of this best-selling text offers the most comprehensive, up-to-date introduction to the theory and practice of artificial intelligence. *NEW-Nontechnical learning material-Accompanies each part of the book. *NEW-The Internet as a sample application for intelligent systems-Added in several places including logical agents, planning, and natural language. *NEW-Increased coverage of material - Includes expanded coverage of: default reasoning and truth maintenance systems, including multi-agent/distributed AI and game theory; probabilistic approaches to learning including EM; more detailed descriptions of probabilistic inference algorithms. *NEW-Updated and expanded exercises-75% of the exercises are revised, with 100 new exercises. *NEW-On-line Java software. *Makes it easy for students to do projects on the web using intelligent agents. *A unified, agent-based approach to AI-Organizes the material around the task of building intelligent agents. *Comprehensive, up-to-date coverage-Includes a unified view of the field organized around the rational decision making pa

    But what if we took these big, hard-to-imagine objects and events and compared them to things we can see, feel and touch? Instantly, we'd see our world in a whole new way." So begins this endlessly intriguing guide to better understanding all those really big ideas and numbers children come across on a regular basis. Author David J. Smith has found clever devices to scale down everything from time lines (the history of Earth compressed into one year), to quantities (all the wealth in the world divided into one hundred coins), to size differences (the planets shown as different types of balls). Accompanying each description is a kid-friendly drawing by illustrator Steve Adams that visually reinforces the concept. By simply reducing everything to human scale, Smith has made the incomprehensible easier to grasp, and therefore more meaningful. The children who just love these kinds of fact-filled, knock-your-socks-off books will want to read this one from cover to cover. It will find the most use, however, as an excellent classroom reference that can be reached for again and again when studying scale and measurement in math, and also for any number of applications in social studies, science and language arts. For those who want to delve a little deeper, Smith has included six suggestions for classroom projects. There is also a full page of resource information at the back of the book.

    Wolfram lets the world see his work in A New Kind of Science, a gorgeous, 1,280-page tome more than a decade in the making. With patience, insight, and self-confidence to spare, Wolfram outlines a fundamental new way of modeling complex systems. On the frontier of complexity science since he was a boy, Wolfram is a champion of cellular automata--256 "programs" governed by simple nonmathematical rules. He points out that even the most complex equations fail to accurately model biological systems, but the simplest cellular automata can produce results straight out of nature--tree branches, stream eddies, and leopard spots, for instance. The graphics in A New Kind of Science show striking resemblance to the patterns we see in nature every day. Wolfram wrote the book in a distinct style meant to make it easy to read, even for nontechies; a basic familiarity with logic is helpful but not essential. Readers will find themselves swept away by the elegant simplicity of Wolfram's ideas and the accidental artistry of the cellular automaton models. Whether or not Wolfram's revolution ultimately gives us the keys to the universe, his new science is absolutely awe-inspiring. --Therese Littleton

    But in Catching Fire, renowned primatologist Richard Wrangham presents a startling alternative: our evolutionary success is the result of cooking. In a groundbreaking theory of our origins, Wrangham shows that the shift from raw to cooked foods was the key factor in human evolution. when our ancestors adapted to using fire, humanity began.Once our hominid ancestors began cooking their food, the human digestive tract shrank and the brain grew. Time once spent chewing tough raw food could be used instead to hunt and to tend camp. Cooking became the basis for pair bonding and marriage, created the household, and even led to a sexual division of labor.Tracing the contemporary implications of our ancestors' diets, Catching Fire sheds new light on how we came to be the social, intelligent, and sexual species we are today. A pathbreaking new theory of human evolution, Catching Fire will provoke controversy and fascinate anyone interested in our ancient origins--or in our modern eating habits.--from the dustjacket

    Just how calculus makes these things possible and in doing so finds a correspondence between real numbers and the real world is the subject of this dazzling book by a writer of extraordinary clarity and stylistic brio. Even as he initiates us into the mysteries of real numbers, functions, and limits, Berlinski explores the furthest implications of his subject, revealing how the calculus reconciles the precision of numbers with the fluidity of the changing universe. "An odd and tantalizing book by a writer who takes immense pleasure in this great mathematical tool, and tries to create it in others."--New York Times Book Review

    Book by Waring, Chris

    A prize of one million dollars was offered to anyone who could unravel it, but Perelman declined the winnings, and in doing so inspired journalist Masha Gessen to tell his story. Drawing on interviews with Perelman’s teachers, classmates, coaches, teammates, and colleagues in Russia and the United States—and informed by her own background as a math whiz raised in Russia—Gessen uncovered a mind of unrivaled computational power, one that enabled Perelman to pursue mathematical concepts to their logical (sometimes distant) end. But she also discovered that this very strength turned out to be Perelman's undoing and the reason for his withdrawal, first from the world of mathematics and then, increasingly, from the world in general.

    Taking us on a journey through every fundamental field of science, as well as the history of civilization, art, moral values, and the theory of political institutions, Deutsch tracks how we form new explanations and drop bad ones, explaining the conditions under which progress—which he argues is potentially boundless—can and cannot happen. Hugely ambitious and highly original, The Beginning of Infinity explores and establishes deep connections between the laws of nature, the human condition, knowledge, and the possibility for progress.

    This is done in a way that is not only easy to understand, but is actually fun! Professors and engineers, with high school and college students following closely, comprise the largest percentage of our readers. It is a must-have for anyone interested in music, mathematics, physics, engineering, or complex science. Dr. Yoichiro Nambu, 2008 Nobel Prize Winner in Physics, served as a senior adviser to the English version of Who is Fourier? A Mathematical Adventure.

    Lies My Teacher Told Me won the American Book Award and the Oliver Cromwell Cox Award for Distinguished Anti-Racist Scholarship.James W. Loewen, a sociology professor and distinguished critic of history education, puts 12 popular textbooks under the microscope-and what he discovers will surprise you. In his opinion, every one of these texts fails to make its subject interesting or memorable. Worse still is the proliferation of blind patriotism, mindless optimism and misinformation filling the pages.From the truth about Christopher Columbus to the harsh reality of the Vietnam War, Loewen picks apart the lies we've been told. This audiobook, narrated by Brian Keeler (The Hurricane, "All My Children") will forever change your view of the past.

    It also proves troublesome for parents, as many are reminded of their own struggles with the subject and feel lost when trying to tackle it again years later in an effort to aid their offspring. Help Your Kids with Math is designed to reduce the stress of studying math for both children and adults. Using an appealing and uniquely accessible illustrative style, this book will show you what others only tell you, covering everything from basic arithmetic to more challenging subjects such as statistics, geometry, and algebra. Every aspect of math is explained in easily understandable language so that adults and kids can deal with the subject together. Tricky concepts are explored and examined step-by-step, so that even the most math-phobic individual will be able to approach complex problems with confidence.The first in an original new series of study aids that aims to demystify those subjects that seem tricky and incomprehensible, Math Survival provides invaluable guidance and easy explanations for all those desperate kids and parents who need to understand math and put it into practice.