So, why do we perceive a flow of time? Is the future “already there”, and is the past “still there”, even though we are only aware of a single moment of time? Drawing on the latest ideas from both relativity and quantum theory, award-winning science writer John Gribbin (In Search of Schrödinger’s Cat) addresses the questions that have baffled philosophers since antiquity and Zeno’s arrow paradox. Along the way, we find that in the quantum world it is literally true that a watched pot never boils, and learn how physicists have come to terms with the idea of the four-dimensional block universe as an explanation of the distinction between past, present and future. Why do eggs break when we drop them, but never unbreak? The Universe as we know it began in a Big Bang, which in some sense marks the beginning of time. Is it possible that we need to invoke the Big Bang to explain why we never see unbroken eggs? This idea glories in the name “the past hypothesis”, but many physicists regard it as no more than an attempt to sweep the problem of the arrow of time under the rug. Read The Time Illusion and see if you agree!

    For the calculus-based General Physics course primarily taken by engineers and scientists.

    As exciting as any action/adventure novel, this is actually the story of incredible individuals and engrossing tales behind the most profound, enduring mathematical theorems.Archimedes famously ran naked through the streets shouting, “Eureka, eureka!” after finding a method for measuring the volume of an irregular-shaped object. René Descartes was not only a great French mathematician, philosopher, physicist, and natural scientist; he was also an expert swordsman who traveled with European armies from town to town, dressed in green taffeta and accompanied by a valet. Georg Cantor grappled with mental illness as he explored the highly counterintuitive, bizarre properties of infinite sets and numbers. Emmy Noether struggled to find employment as she laid the mathematical groundwork for modern theoretical physics. And Alexander Grothendieck taught himself mathematics while interned in Nazi concentration camps, only to disappear into the Pyrenees at the zenith of his career.These are just a few stories recounted in this absorbing narrative. In probing the lives of the preeminent mathematicians in history, a Strange Wilderness will leave you entertained and enlightened, with a newfound appreciation of the tenacity, complexity, and brilliance of the mathematical genius.

    Guyton & Hall's Textbook of Medical Physiology covers all of the major systems in the human body, while emphasizing system interaction, homeostasis, and pathophysiology. This very readable, easy-to-follow, and thoroughly updated, 11th Edition features a new full-color layout, short chapters, clinical vignettes, and shaded summary tables that allow for easy comprehension of the material.The smart way to study!Elsevier titles with STUDENT CONSULT will help you master difficult concepts and study more efficiently in print and online! Perform rapid searches. Integrate bonus content from other disciplines. Download text to your handheld device. And a lot more. Each STUDENT CONSULT title comes with full text online, a unique image library, case studies, USMLE style questions, and online note-taking to enhance your learning experience.Presents short, easy-to-read chapters in keeping with the Guyton and Hall tradition.Provides shaded summary tables for easy reference.Includes clinical vignettes, which allow readers to see core concepts applied to real-life situations.Offers specific discussions of pathophysiology in most clinical areas of medicine.Ensures a strong grasp of physiology concepts through well-illustrated discussions of the most essential principles.Now in full color! Offers access to the full text and other valuable features online via the STUDENT CONSULT website.Uses full-color illustrations throughout, including 486 figures, 277 charts and graphs, 100 brand-new line drawings, and 36 ECGs.Features a new full-color design that makes information more engaging and even easier to read.Updated throughout to reflect the latest knowledge in the field.

    Today, says Dale Purves, the dominant research agenda may have taken us as far as it can--and neuroscientists may be approaching a paradigm shift. In this highly personal book, Purves reveals how we got to this point and offers his notion of where neuroscience may be headed next. Purves guides you through a half-century of the most influential ideas in neuroscience and introduces the extraordinary scientists and physicians who created and tested them. Purves offers a critical assessment of the paths that neuroscience research has taken, their successes and their limitations, and then introduces an alternative approach for thinking about brains. Building on new research on visual perception, he shows why common ideas about brain networks can't be right and uncovers the factors that determine our subjective experience. The resulting insights offer a deeper understanding of what it means to be human. - Why we need a better conception of what brains are trying to do and how they do it Approaches to understanding the brain over the past several decades may be at an impasse - The surprising lessons that can be learned from what we see How complex neural processes owe more to trial-and-error experience than to logical principles - Brains--and the people who think about them Meet some of the extraordinary individuals who've shaped neuroscience - The -ghost in the machine- problem The ideas presented further undermine the concept of free will

    It provides a transition from elementary calculus to advanced courses in real and complex function theory and introduces the reader to some of the abstract thinking that pervades modern analysis.

    Short-Cut Math is a concise, remarkably clear compendium of about 150 math short-cuts — timesaving tricks that provide faster, easier ways to add, subtract, multiply, and divide.By using the simple foolproof methods in this volume, you can double or triple your calculation speed — even if you always hated math in school. Here's a sampling of the amazingly effective techniques you will learn in minutes: Adding by 10 Groups; No-Carry Addition; Subtraction Without Borrowing; Multiplying by Aliquot Parts; Test for Divisibility by Odd and Even Numbers; Simplifying Dividends and Divisors; Fastest Way to Add or Subtract Any Pair of Fractions; Multiplying and Dividing with Mixed Numbers, and more.The short-cuts in this book require no special math ability. If you can do ordinary arithmetic, you will have no trouble with these methods. There are no complicated formulas or unfamiliar jargon — no long drills or exercises. For each problem, the author provides an explanation of the method and a step-by-step solution. Then the short-cut is applied, with a proof and an explanation of why it works.Students, teachers, businesspeople, accountants, bank tellers, check-out clerks — anyone who uses numbers and wishes to increase his or her speed and arithmetical agility, can benefit from the clear, easy-to-follow techniques given here.

    Articles from Game Theory Tuesdays have been referenced in The Freakonomics Blog, Yahoo Finance, and CNN.com. The second edition includes many streamlined explanations and incorporates suggestions from readers of the first edition. Game theory is the study of interactive decision making--that is, in situations where each person's action affects the outcome for the whole group. Game theory is a beautiful subject and this book will teach you how to understand the theory and practically implement solutions through a series of stories and the aid of over 30 illustrations. This book has two primary objectives. (1) To help you recognize strategic games, like the Prisoner's Dilemma, Bertrand Duopoly, Hotelling's Game, the Game of Chicken, and Mutually Assured Destruction. (2) To show you how to make better decisions and change the game, a powerful concept that can transform no-win situations into mutually beneficial outcomes. You'll learn how to negotiate better by making your threats credible, sometimes limiting options or burning bridges, and thinking about new ways to create better outcomes. As these goals indicate, game theory is about more than board games and gambling. It all seems so simple, and yet that definition belies the complexity of game theory. While it may only take seconds to get a sense of game theory, it takes a lifetime to appreciate and master it. This book will get you started.

    By 1949, Godel had produced a remarkable proof: In any universe described by the Theory of Relativity, time cannot exist. Einstein endorsed this result reluctantly but he could find no way to refute it, since then, neither has anyone else. Yet cosmologists and philosophers alike have proceeded as if this discovery was never made. In A World Without Time, Palle Yourgrau sets out to restore Godel to his rightful place in history, telling the story of two magnificent minds put on the shelf by the scientific fashions of their day, and attempts to rescue the brilliant work they did together.

    Each chapter contains integrated worked examples and chapter tests. This edition has the ancillary ATLAST computer exercise guide and new MATLAB and Maple guides.

    It is highly recommended for anyone planning to study advanced analysis, e.g., complex variables, differential equations, Fourier analysis, numerical analysis, several variable calculus, and statistics. It is also recommended for future secondary school teachers. A limited number of concepts involving the real line and functions on the real line are studied. Many abstract ideas, such as metric spaces and ordered systems, are avoided. The least upper bound property is taken as an axiom and the order properties of the real line are exploited throughout. A thorough treatment of sequences of numbers is used as a basis for studying standard calculus topics. Optional sections invite students to study such topics as metric spaces and Riemann-Stieltjes integrals.

    They speak of it in awed terms and consider it to be an even more difficult problem than Fermat's last theorem, which was finally proven by Andrew Wiles in 1995.In The Riemann Hypothesis, acclaimed author Karl Sabbagh interviews some of the world's finest mathematicians who have spent their lives working on the problem--and whose approaches to meeting the challenges thrown up by the hypothesis are as diverse as their personalities.Wryly humorous, lively, accessible and comprehensive, The Riemann Hypothesis is a compelling exploration of the people who do math and the ideas that motivate them to the brink of obsession--and a profound meditation on the ultimate meaning of mathematics.

    From the observations of Ptolemy and Kepler to the Harmony of the Spheres and the hidden structure of the solar system, John Martineau reveals the exquisite orbital patterns of the planets and the mathematical relationships that govern them. A table shows the relative measurements of each planet in eighteen categories, and three pages show the beautiful dance patterns of thirty six pairs of planets and moons.

    Lewis Dartnell considers some of the fascinating questions facing researchers today. Could life exist anywhere else in the universe? What might aliens really look like? Dartnell explains why Earth is uniquely suited for life and reveals our profound connection to the cosmos.

    The complexity of nature's shapes differs in kind, not merely degree, from that of the shapes of ordinary geometry, the geometry of fractal shapes.Now that the field has expanded greatly with many active researchers, Mandelbrot presents the definitive overview of the origins of his ideas and their new applications. The Fractal Geometry of Nature is based on his highly acclaimed earlier work, but has much broader and deeper coverage and more extensive illustrations.