The Fourth Edition builds on this strength with new examples, additional applications and increased cryptology coverage. Up-to-date information on the latest discoveries is included.Elementary Number Theory and Its Applications provides a diverse group of exercises, including basic exercises designed to help students develop skills, challenging exercises and computer projects. In addition to years of use and professor feedback, the fourth edition of this text has been thoroughly accuracy checked to ensure the quality of the mathematical content and the exercises.

    To Taylor, self-fulfillment, although often expressed in self-centered ways, isn't necessarily a rejection of traditional values and social commitment; it also reflects something authentic and valuable in modern culture. Only by distinguishing what is good in this modern striving from what is socially and politically dangerous, Taylor says, can our age be made to deliver its promise.

    About the Book: Introduction to Political Theory This new edition of An Introduction of Political Theory examines a fairly wide range of issues concerning the ever-expanding field of political theory in a multidisciplinary (historical - sociological - economic - philosophical - juristic) perspective.

    Perhaps ideas have us. After all, ideas do appear to have a life of their own. And it is they, not us, that benefit most when they are spread. Many biologists have already come to the opinion that our genes are selfish entities, tricking us into helping them to reproduce. Is it the same with our ideas?     Jonnie Hughes, a science writer and documentary filmmaker, investigates the evolution of ideas in order to find out. Adopting the role of a cultural Charles Darwin, Hughes heads off, with his brother in tow, across the Midwest to observe firsthand the natural history of ideas—the patterns of their variation, inheritance, and selection in the cultural landscape. In place of Darwin’s oceanic islands, Hughes visits the “mind islands” of Native American tribes. Instead of finches, Hughes searches for signs of natural selection among the tepees.     With a knack for finding the humor in the quirks of the American cultural landscape, Hughes takes us on a tour from the Mall of America in Minneapolis to what he calls the “maul” of America—Custer’s last stand—stopping at road-sides and discoursing on sandwiches, the shape of cowboy hats, the evolution of barn roofs, the wording of jokes, the wearing of moustaches, and, of course, the telling features from tepees of different tribes. Original, witty, and engaging, On the Origin of Tepees offers a fresh way of understanding both our ideas and ourselves.

    But is philosophy really so complicated? And is it really as irrelevant as it sometimes seems? "I Think, Therefore I Am" is the ideal way to take the fear out of philosophy. Written in an accessible and highly entertaining style, it explains how and why philosophy began, and how, from Greek democracy to Communism, the ways in which we live, learn, argue, vote and even spend our money have their origins in philosophical thought.Philosophers certainly like to make life sound awfully complicated. But is philosophy really so complicated? And is it really as irrelevant as it sometimes seems? "I Think, Therefore I Am" is the ideal way to take the fear out of philosophy. Written in an accessible and highly entertaining style, it explains how and why philosophy began, and how, from Greek democracy to Communism, the ways in which we live, learn, argue, vote and even spend our money have their origins in philosophical thought.

    Times have changed since the late 1940s, but ambitions have not, and millions of Americans have drawn on the no-nonsense techniques described in The Magic of Believing to reach their dreams and achieve success. Obstacles have become a thing of the past, when they were “blasted” with Bristol’s powerful book, T.N.T.: It Rocks the Earth. Adhering to his corner- stone philosophy on the power of believing, T.N.T. offers practical suggestions on how to accurately and scientifically proceed to get what you want in life. In these 2 great books, you will learn: • How to project confidence
• How to impress your subconscious mind
• Why a focused aim leads to achievement.
• What your appearance reveals about you.
• The mental secret to success.
• How to transfer your thoughts to others
• To have a power at your command that astounds Let the wisdom the author imparts, infiltrate both your conscious and uncon- scious mind. It’s time to shift into high gear and forward motion, as you commit to your greatest and highest purpose. The late Claude M. Bristol was a lawyer, lecturer, investment banker, and foreign correspondent. He is the coauthor of the long-time best- seller, TNT: The Power Within. Claude Bristol’s tough-minded, hard-hitting message remains as fresh and focused today as when his books were first published, when the subconscious mind was less understood. Times have changed since the late 1940s, but ambitions have not, and millions of Americans have drawn on the no-nonsense techniques described in The Magic of Believing to reach their dreams and achieve success. Obstacles have become a thing of the past, when they were “blasted” with Bristol’s powerful book, T.N.T.: It Rocks the Earth. Adhering to his corner- stone philosophy on the power of believing, T.N.T. offers practical suggestions on how to accurately and scientifically proceed to get what you want in life. In these 2 great books, you will learn: • How to project confidence
• How to impress your subconscious mind
• Why a focused aim leads to achievement.
• What your appearance reveals about you.
• The mental secret to success.
• How to transfer your thoughts to others
• To have a power at your command that astounds Let the wisdom the author imparts, infiltrate both your conscious and uncon- scious mind. It’s time to shift into high gear and forward motion, as you commit to your greatest and highest purpose. The late Claude M. Bristol was a lawyer, lecturer, investment banker, and foreign correspondent. He is the coauthor of the long-time best- seller, TNT: The Power Within.

    Language is informal, examples are vivid and lively, and the perspectivie is fresh. Based on lectures delivered to engineering students, this work will also be valued by scientists, engineers, technicians, businessmen, anyone facing energy challenges of the future.

    Sutter emphasizes how amazing it is that we are part of such a huge, complex, and mysterious place. Through metaphors and uncomplicated language, Sutter breathes life into the science of astrophysics, unveiling how particles, forces, and fields interplay to create the greatest of cosmic dramas. Touched with the author's characteristic breezy, conversational style--which has made him a breakout hit on venues such as The Weather Channel, the Science Channel, and his own popular Ask a Spaceman! podcast--he conveys the fun and wonder of delving deeply into the physical processes of the natural universe. He weaves together the past and future histories of our universe with grounded descriptions of essential modern-day physics as well as speculations based on the latest research in cosmology. Topics include our place in the Milky Way galaxy; the cosmic web--a vast web-like pattern in which galaxies are arranged; the origins of our universe in the big bang; the mysteries of dark matter and dark energy; how science has dramatically changed our relationship to the cosmos; conjectures about the future of reality as we know it; and more.For anyone who has ever stared at the starry night sky and wondered how we humans on Earth fit into the big picture, this book is an essential roadmap.

    Even after more than three centuries and the revolutions of Einsteinian relativity and quantum mechanics, Newtonian physics continues to account for many of the phenomena of the observed world, and Newtonian celestial dynamics is used to determine the orbits of our space vehicles.This completely new translation, the first in 270 years, is based on the third (1726) edition, the final revised version approved by Newton; it includes extracts from the earlier editions, corrects errors found in earlier versions, and replaces archaic English with contemporary prose and up-to-date mathematical forms. Newton's principles describe acceleration, deceleration, and inertial movement; fluid dynamics; and the motions of the earth, moon, planets, and comets. A great work in itself, the Principia also revolutionized the methods of scientific investigation. It set forth the fundamental three laws of motion and the law of universal gravity, the physical principles that account for the Copernican system of the world as emended by Kepler, thus effectively ending controversy concerning the Copernican planetary system.The illuminating Guide to the Principia by I. Bernard Cohen, along with his and Anne Whitman's translation, will make this preeminent work truly accessible for today's scientists, scholars, and students.

    Includes such gems as:? There are 42 eyes in a deck of cards, and 42 dots on a pair of dice ? In order to fill in a map so that neighboring regions never get the same color, one never needs more than four colors ? Hells Angels use the number 81 in their insignia because the initials H and A are the eighth and first numbers in the alphabet respectively

    This guide demonstrates how readers can become actively calm, centred in the stillness and joy of our own essential nature while living a dynamic, fulfilling and balanced life.

    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.

    You can not study human nature from a book, you must study yourself and your neighbors. This book may help you to know what to look for and to understand what you find, but it can do little more than this. It is true, this text gives you many facts learned by psychologists, but you must verify the statements, or at least see their significance to you, or they will be of no worth to you. However, the facts considered here, properly understood and assimilated, ought to prove of great value to you. But perhaps of greater value will be the psychological frame of mind or attitude which you should acquire. The psychological attitude is that of seeking to find and understand the causes of human action, and the causes, consequences, and significance of the processes of the human mind. If your first course in psychology teaches you to look for these things, gives you some skill in finding them and in using the knowledge after you have it, your study should be quite worth while.

    In A Brief History of Mathematical Thought, Luke Heaton explores how the language of mathematics has evolved over time, enabling new technologies and shaping the way people think. From stone-age rituals to algebra, calculus, and the concept of computation, Heaton shows the enormous influence of mathematics on science, philosophy and the broader human story. The book traces the fascinating history of mathematical practice, focusing on the impact of key conceptual innovations. Its structure of thirteen chapters split between four sections is dictated by a combination of historical and thematic considerations. In the first section, Heaton illuminates the fundamental concept of number. He begins with a speculative and rhetorical account of prehistoric rituals, before describing the practice of mathematics in Ancient Egypt, Babylon and Greece. He then examines the relationship between counting and the continuum of measurement, and explains how the rise of algebra has dramatically transformed our world. In the second section, he explores the origins of calculus and the conceptual shift that accompanied the birth of non-Euclidean geometries. In the third section, he examines the concept of the infinite and the fundamentals of formal logic. Finally, in section four, he considers the limits of formal proof, and the critical role of mathematics in our ongoing attempts to comprehend the world around us. The story of mathematics is fascinating in its own right, but Heaton does more than simply outline a history of mathematical ideas. More importantly, he shows clearly how the history and philosophy of maths provides an invaluable perspective on human nature.

    Dip into any chapter and you will find lively scenarios and dialogues to take you through philosophical puzzles ancient and modern, involving virtual reality, science fiction and a host of characters from this and other planets. The text is interspersed on every page with lively cartoons, and there is a list of philosophical jargon at the end..Stephen Law has a gift for communicating complex ideas. He offers few answers, but his unstuffy, highly personal approach will have the reader thinking and arguing with as much pleasure as he does himself.