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.

    Everything around us, including matter, is energy. A deep look into the mysteries of the subatomic world – the particles that make up the atom – provides answers to basic questions about how the universe works. To solve the future of mankind’s energy needs we need to understand the basic building blocks of the universe, including the atom and its parts. By exploring the subatomic world we’ll find more answers to our questions about time, forces like gravity and the matter that surrounds us. More importantly, we’ll find new ways to tap into the energy that exists around us to power our growing needs. In a new branch of particle physics, where tiny particles are thought of as energy waves, we find new answers that may help us in our quest to find alternative energy sources.

    Underpinning both math and science, it is the foundation of every major advancement in knowledge since the time of the ancient Greeks. Through adventure stories and historical narratives populated with a rich and quirky cast of characters, Mazur artfully reveals the less-than-airtight nature of logic and the muddled relationship between math and the real world. Ultimately, Mazur argues, logical reasoning is not purely robotic. At its most basic level, it is a creative process guided by our intuitions and beliefs about the world.

    In fact, you won’t be able to put this bestseller down. In our challenging economic climate, this perennial favorite of students and general readers is more than a good read, it’s a necessary investment—with a blessedly sure rate of return. This revised and updated edition includes commentary on hot topics such as automation, trade, income inequality, and America’s rising debt. Ten years after the financial crisis, Naked Economics examines how policymakers managed the worst economic crisis since the Great Depression.Demystifying buzzwords, laying bare the truths behind oft-quoted numbers, and answering the questions you were always too embarrassed to ask, the breezy Naked Economics gives you the tools to engage with pleasure and confidence in the deeply relevant, not so dismal science.

    This work includes differential forms and the elegant forms of Maxwell's equations, and a chapter on probability and statistics. It also illustrates and proves mathematical relations.

    Beginning near the speed of light and proceeding to explorations of space-time and curved spaces, "Introducing Relativity" plots a visually accessible course through the thought experiments that have given shape to contemporary physics. Scientists from Newton to Hawking add their unique contributions to this story, as we encounter Einstein's astounding vision of gravity as the curvature of space-time and arrive at the breathtakingly beautiful field equations. Einstein's legacy is reviewed in the most advanced frontiers of physics today - black holes, gravitational waves, the accelerating universe and string theory. This is a superlative, fascinating graphic account of Einstein's strange world and how his legacy has been built upon since.

    Sometimes it’ll be obvious – ‘X people develop cancer every year’ – and sometimes less obvious – ‘How smartphones destroyed a generation’. Statistics are an immensely powerful tool for understanding the world; the best tool we have. But in the wrong hands, they can be dangerous.This book will help you spot common mistakes and tricks that can mislead you into thinking that small numbers are big, or unimportant changes are important. It will show you how the numbers you read are made – you’ll learn about how surveys with small or biased samples can generate wrong answers, and why ice cream doesn’t cause drownings.We are surrounded by numbers and data, and it has never been more important to separate the good from the bad, the true from the false. HOW TO READ NUMBERS is a vital guide that will help you understand when and how to trust the numbers in the news – and, just as importantly, when not to.

    It’s about how you behave. And behavior is hard to teach, even to really smart people. How to manage money, invest it, and make business decisions are typically considered to involve a lot of mathematical calculations, where data and formulae tell us exactly what to do. But in the real world, people don’t make financial decisions on a spreadsheet. They make them at the dinner table, or in a meeting room, where personal history, your unique view of the world, ego, pride, marketing, and odd incentives are scrambled together. In the psychology of money, the author shares 19 short stories exploring the strange ways people think about money and teaches you how to make better sense of one of life’s most important matters.

    Book is unique in its emphasis on the frequency approach and its use in the solution of problems. Contents include: Fundamentals and Algorithms; Polynomial Approximation — Classical Theory; Fourier Approximation — Modern Theory; and Exponential Approximation.

    The analytic material is accompanied by many applications, examples, and exercises. The theory of noncooperative games studies the behavior of agents in any situation where each agent's optimal choice may depend on a forecast of the opponents' choices. "Noncooperative" refers to choices that are based on the participant's perceived selfinterest. Although game theory has been applied to many fields, Fudenberg and Tirole focus on the kinds of game theory that have been most useful in the study of economic problems. They also include some applications to political science. The fourteen chapters are grouped in parts that cover static games of complete information, dynamic games of complete information, static games of incomplete information, dynamic games of incomplete information, and advanced topics.--mitpress.mit.edu

    In fact, writes Adam Davidson--one of our leading public voices on economic issues--the twenty-first-century economic paradigm offers new ways of making money, fresh paths toward professional fulfillment, and unprecedented opportunities for curious, ambitious individuals to combine the things they love with their careers.Drawing on the stories of average people doing exactly this--an accountant overturning his industry, a sweatshop owner's daughter fighting for better working conditions, an Amish craftsman meeting the technological needs of Amish farmers--as well as the latest academic research, Davidson shows us how the twentieth-century economy of scale has given way in this century to an economy of passion. He makes clear, too, that though the adjustment has brought measures of dislocation, confusion, and even panic, these are most often the result of a lack of understanding. The Passion Economy delineates the ground rules of the new economy, and armed with these, we begin to see how we can succeed in it according to its own terms--intimacy, insight, attention, automation, and, of course, passion. An indispensable road map and a refreshingly optimistic take on our economic future.

    This edition contains NEW tables on Properties of Ionic Liquids, Solubilities of Hydrocarbons in Sea Water, Solubility of Organic Compounds in Superheated Water, and Nutritive Value of Foods. It also updates many tables including Critical Constants, Heats of Vaporization, Aqueous Solubility of Organic Compounds, Vapor Pressure of Mercury, Scientific Abbreviations and Symbols, and Bond Dissociation Energies. The 88th Edition also presents a new Foreword written by Dr. Harold Kroto, a 1996 Nobel Laureate in Chemistry.

    KEY TOPICS: This classic book enables readers to make connections between classical and modern physics - an indispensable part of a physicist's education. In this new edition, Beams Medal winner Charles Poole and John Safko have updated the book to include the latest topics, applications, and notation, to reflect today's physics curriculum. They introduce readers to the increasingly important role that nonlinearities play in contemporary applications of classical mechanics. New numerical exercises help readers to develop skills in how to use computer techniques to solve problems in physics. Mathematical techniques are presented in detail so that the book remains fully accessible to readers who have not had an intermediate course in classical mechanics. MARKET: For college instructors and students.

    All too many investors are unaware of the mental pitfalls that await them. Even once we are aware of our biases, we must recognise that knowledge does not equal behaviour. The solution lies is designing and adopting an investment process that is at least partially robust to behavioural decision-making errors. Behavioural Investing: A Practitioner's Guide to Applying Behavioural Finance explores the biases we face, the way in which they show up in the investment process, and urges readers to adopt an empirically based sceptical approach to investing. This book is unique in combining insights from the field of applied psychology with a through understanding of the investment problem. The content is practitioner focused throughout and will be essential reading for any investment professional looking to improve their investing behaviour to maximise returns. Key features include:The only book to cover the applications of behavioural finance An executive summary for every chapter with key points highlighted at the chapter start Information on the key behavioural biases of professional investors, including The seven sins of fund management, Investment myth busting, and The Tao of investingPractical examples showing how using a psychologically inspired model can improve on standard, common practice valuation tools Written by an internationally renowned expert in the field of behavioural finance