It is the mathematical method for the analysis of things that change, and since in the natural world we are surrounded by change, the development of calculus was a huge breakthrough in the history of mathematics. But it is also something of a mathematical adventure, largely because of the way infinity enters at virtually every twist and turn...In The Calculus Story David Acheson presents a wide-ranging picture of calculus and its applications, from ancient Greece right up to the present day. Drawing on their original writings, he introduces the people who helped to build our understanding of calculus. With a step by step treatment, he demonstrates how to start doing calculus, from the very beginning.

    From Pavlov's dogs to experimental ethics and from the development of personality to cognitive behavioural therapy, this book will take you from the foundations of psychological thought to modern-day applications, drawing on recent research and established theories. Each essay is accompanied by an illustration or diagram to help unravel complex ideas. The principles of psychology apply to each and every one of us as they shed light on everything from our childhood development to our interaction with others - and Psychology in Minutes is the perfect insight to this fascinating subject. Contents include: Behaviourism, Experimental ethics, Problem solving, Illusions and paradoxes, Dream analysis, Management and leadership, Compliance and conformity, Attitudes and prejudices, Attraction, Moral development, Gender development, The big five personality traits, Classification of mental disorders, Criticisms of psychoanalysis, Positive psychology, Advertising and the media and The working environment.

    The material of this book is indispensable for anyone who wishes to understand the real spiritual roots of Western civilization.

    Quantum) is, as Deepak Chopra states, "one of the most important pioneers in the field of consciousness." Featured in the wordofmouth indie hit, What the Bleep Do We Know?!, Dr. Wolf is a physicist who knows how to put complex sciencebased ideas into terms that even sciencephobes can understand. With clarity and a sense of humor, Dr. Quantum presents Big Ideas in the form of both short quotes and longer excerpts and covers topics ranging from the construction of our everyday reality to our relationship to one another. Dr. Quantum's Little Book of Big Ideas is a perfect gift for anyone interested in the realm where science meets spirit.

    An extremely clever account.--The New Yorker.

    Using illustrations and examples from science fiction pulp magazines and comic books, The Amazing Story of Quantum Mechanics explains the fundamental principles of quantum mechanics that underlie the world we live in.Watch a Video

    Stimulating, illuminating, and always surprising, The Big Questions challenges readers to re-evaluate their most fundamental beliefs and reveals the relationship between the loftiest philosophical quests and our everyday lives.

    His illuminating explanation is addressed to the person who wants to understand the place of mathematics in modern civilization but who has been intimidated by its supposed difficulty. Mathematics is the language of size, shape, and order—a language Hogben shows one can both master and enjoy.

    Despite this, he has remained inaccessible to most modern readers, indisputably great but undeniably remote. In this witty, engaging, and often moving examination of Newton's life, David Berlinski recovers the man behind the mathematical breakthroughs. The story carries the reader from Newton's unremarkable childhood to his awkward undergraduate days at Cambridge through the astonishing year in which, working alone, he laid the foundation for his system of the world, his Principia Mathematica, and to the subsequent monumental feuds that poisoned his soul and wearied his supporters. An edifying appreciation of Newton's greatest accomplishment, Newton's Gift is also a touching celebration of a transcendent man.

    What happens to them is beyond your most terrifying nightmares.You’re History: The discovery of a human skull panics a killer into a confession. Perhaps he should have waited for the coroner’s report.Cold-Blooded: Karen was the former wife of an American icon. But celebrity is no shield against a determined psychopath.The Janitor: When a preteen girl goes missing from a school, suspicion falls on the one person all of the female students are wary of – the creepy janitor.A Bullet for Your Broken Heart: Roy Joe had been dealt many tribulations in his life. None of them, though, was as bad as Carolyn.The Other Ripper: For years, Joan was thought to be a victim of Britain’s most notorious slayer. Her killer turned out to be a different psychopath entirely.Young Blood: Two teenagers meet up for a moonlight tryst in an abandoned building. One of them won’t make it out alive.Neighborhood Monster: It was a simple errand, a quick run to the store in a safe neighborhood. It should not have cost a little girl her life.Plus 10 more horrific true murder cases. Scroll up to grab a copy of Cold Cases: Solved Volume 1.

    To mark the event, National Geographic magazine commissioned seven articles that explore the fascinating issues—including demographics, food security, climate change, fertility trends, managing biodiversity—surrounding this topic, which are collected for the first time in this special ebook.   Envi­ronment editor Robert Kunzig starts by sketching out a natural history of population. The issues associated with population growth seem endless: poverty, food and water supply, world health, climate change, deforestation, fertility rates, and more. In additional chapters Elizabeth Kolbert explores a new era—the “Anthropocene,” or the age of man—defined by our massive impact on the planet, which will endure long after our cities have crumbled; and takes us to the Mediterranean, where she delves into issues associated with increasing ocean acidification. In Bangladesh, Don Belt explores how the people of this crowded region can teach us about adapting to rising sea levels. In “Food Ark” we travel deep within the earth and around the globe to explore the seed banks that are preserving the variety of food species we may need to increase food production on an increasingly crowded planet. In Brazil, Cynthia Gournay explores the phenomenon of “Machisma” and shows how a mix of female empowerment and steamy soap operas helped bring down Brazil’s fertility rate and stoke its vibrant economy. Additionally we explore threats to biodiversity, and the return of cities—which may be the solution to many of our population woes. Join National Geographic on this incredible journey to explore our rapidly growing planet.

    The clarity and eloquence of the presentation make it popular with teachers and students alike. The text aims to expand the reader's view of the field and to present standard material in a novel way. All of the most important topics in the field are covered with a fresh perspective, including iterative methods for systems of equations and eigenvalue problems and the underlying principles of conditioning and stability. Presentation is in the form of 40 lectures, which each focus on one or two central ideas. The unity between topics is emphasized throughout, with no risk of getting lost in details and technicalities. The book breaks with tradition by beginning with the QR factorization - an important and fresh idea for students, and the thread that connects most of the algorithms of numerical linear algebra.

    Topics covered in the book include linear equations, ratios, quadratic equations, special factorizations, complex numbers, graphing linear and quadratic equations, linear and quadratic inequalities, functions, polynomials, exponents and logarithms, absolute value, sequences and series, and much more!The text is structured to inspire the reader to explore and develop new ideas. Each section starts with problems, giving the student a chance to solve them without help before proceeding. The text then includes solutions to these problems, through which algebraic techniques are taught. Important facts and powerful problem solving approaches are highlighted throughout the text. In addition to the instructional material, the book contains well over 1000 problems.This book can serve as a complete Algebra I course, and also includes many concepts covered in Algebra II. Middle school students preparing for MATHCOUNTS, high school students preparing for the AMC, and other students seeking to master the fundamentals of algebra will find this book an instrumental part of their mathematics libraries.656About the author: Richard Rusczyk is a co-author of Art of Problem Solving, Volumes 1 and 2, the author of Art of Problem Solving's Introduction to Geometry. He was a national MATHCOUNTS participant, a USA Math Olympiad winner, and is currently director of the USA Mathematical Talent Search.

    Dana Mackenzie starts from the opposite premise: He celebrates equations. No history of art would be complete without pictures. Why, then, should a history of mathematics -- the universal language of science -- keep the masterpieces of the subject hidden behind a veil?"The Universe in Zero Words" tells the history of twenty-four great and beautiful equations that have shaped mathematics, science, and society -- from the elementary (1+1 = 2) to the sophisticated (the Black-Scholes formula for financial derivatives), and from the famous (E = mc^2) to the arcane (Hamilton's quaternion equations). Mackenzie, who has been called a "popular-science ace" by Booklist magazine, lucidly explains what each equation means, who discovered it (and how), and how it has affected our lives.(From the jacket copy.)Note: The Princeton University Press version (black cover) is for sale in the English-speaking world outside Australia. The Newsouth Press version (blue cover) is for sale in Australia. The two versions are identical except for the covers.

    V. Quine presents logic as the product of two factors, truth and grammar--but argues against the doctrine that the logical truths are true because of grammar or language. Rather, in presenting a general theory of grammar and discussing the boundaries and possible extensions of logic, Quine argues that logic is not a mere matter of words.