In Burn Math Class, Jason Wilkes takes the traditional approach to how we learn math -- with its unwelcoming textbooks, unexplained rules, and authoritarian assertions-and sets it on fire. Focusing on how mathematics is created rather than on mathematical facts, Wilkes teaches the subject in a way that requires no memorization and no prior knowledge beyond addition and multiplication. From these simple foundations, Burn Math Class shows how mathematics can be (re)invented from scratch without preexisting textbooks and courses. We can discover math on our own through experimentation and failure, without appealing to any outside authority. When math is created free from arcane notations and pretentious jargon that hide the simplicity of mathematical concepts, it can be understood organically -- and it becomes fun! Following this unconventional approach, Burn Math Class leads the reader from the basics of elementary arithmetic to various "advanced" topics, such as time-dilation in special relativity, Taylor series, and calculus in infinite-dimensional spaces. Along the way, Wilkes argues that orthodox mathematics education has been teaching the subject backward: calculus belongs before many of its so-called prerequisites, and those prerequisites cannot be fully understood without calculus. Like the smartest, craziest teacher you've ever had, Wilkes guides you on an adventure in mathematical creation that will radically change the way you think about math. Revealing the beauty and simplicity of this timeless subject, Burn Math Class turns everything that seems difficult about mathematics upside down and sideways until you understand just how easy math can be.

    This recreational math book takes the reader on a fantastic voyage into the world of natural numbers. From the earliest discoveries of the ancient Greeks to various fundamental characteristics of the natural number sequence, Clawson explains fascinating mathematical mysteries in clear and easy prose. He delves into the heart of number theory to see and understand the exquisite relationships among natural numbers, and ends by exploring the ultimate mystery of mathematics: the Riemann hypothesis, which says that through a point in a plane, no line can be drawn parallel to a given line.While a professional mathematician's treatment of number theory involves the most sophisticated analytical tools, its basic ideas are surprisingly easy to comprehend. By concentrating on the meaning behind various equations and proofs and avoiding technical refinements, Mathematical Mysteries lets the common reader catch a glimpse of this wonderful and exotic world.

    As teen math prodigy Agnijo Banerjee and his teacher David Darling reveal, complex math surrounds us. If we think long enough about the universe, we're left not with material stuff, but a ghostly and beautiful set of equations. Packed with puzzles and paradoxes, mind-bending concepts, and surprising solutions, Weird Math leads us from a lyrical exploration of mathematics in our universe to profound questions about God, chance, and infinity. A magical introduction to the mysteries of math, it will entrance beginners and seasoned mathematicians alike.

    Some of these problems are new, while others have puzzled and bewitched thinkers across the ages. Such challenges offer a tantalizing glimpse of the field's unlimited potential, and keep mathematicians looking toward the horizons of intellectual possibility.In Visions of Infinity, celebrated mathematician Ian Stewart provides a fascinating overview of the most formidable problems mathematicians have vanquished, and those that vex them still. He explains why these problems exist, what drives mathematicians to solve them, and why their efforts matter in the context of science as a whole. The three-century effort to prove Fermat's last theorem—first posited in 1630, and finally solved by Andrew Wiles in 1995—led to the creation of algebraic number theory and complex analysis. The Poincaré conjecture, which was cracked in 2002 by the eccentric genius Grigori Perelman, has become fundamental to mathematicians' understanding of three-dimensional shapes. But while mathematicians have made enormous advances in recent years, some problems continue to baffle us. Indeed, the Riemann hypothesis, which Stewart refers to as the “Holy Grail of pure mathematics,” and the P/NP problem, which straddles mathematics and computer science, could easily remain unproved for another hundred years.An approachable and illuminating history of mathematics as told through fourteen of its greatest problems, Visions of Infinity reveals how mathematicians the world over are rising to the challenges set by their predecessors—and how the enigmas of the past inevitably surrender to the powerful techniques of the present.

    Fully revised to meet the needs of the wide range of students beginning engineering courses, this edition has an extended Foundation section including new chapters on graphs, trigonometry, binomial series and functions and a CD-ROM

    In this comprehensive and practical guide, you will learn how to make and activate Crystal Grids for yourself, others and your home. Explore the fascinating history and symbolism behind Crystal Grids. Learn how and why Crystal Grids work. Ethan Lazzerini uses over 20 years experience with crystals to formulate 34 intention based Crystal Grids for every purpose. No more secrets, this No.1 Amazon Bestselling book will demystify the world of Crystal Grids. Learn exactly why each different crystal is used and the reason every geometric shape was chosen for each grid. Crystal Grids Power is filled with tips and techniques to supercharge your grids. Access simple to advanced Crystal Grids and learn how to create your own. Includes Powerful Crystal Grids for: Abundance & Prosperity, Psychic Protection, Personal & Distant Healing, Success, Relationships, Increased Energy, Motivation, Angels, Confidence, Better Sleep, Karma Releasing, Life Purpose, Stress Relief, Earth Healing, Overcoming Obstacles, Aura Clearing, Peace & Harmony, Home Protection, New Beginnings and many more... Contains 34 Crystal Grids for all areas of your life Clearly illustrated with diagrams and step-by-step instructions The meaning of Sacred Geometry shapes and symbols explained Learn three different ways to activate your Crystal Grids Helpful substitute crystals are given for every grid Includes FREE Printable Crystal Grid Templates to download Crystal Grids Power is an indispensable guide to the magical world of Crystal Grids. This enlightening book contains EVERYTHING you need to know about Crystal Grids and how to use them. Take a look inside, download a sample or buy your copy today!

    Hungarian-born Erdős believed that the meaning of life was to prove and conjecture. His work in the United States and all over the world has earned him the titles of the century's leading number theorist and the most prolific mathematician who ever lived. Erdős's important work has proved pivotal to the development of computer science, and his unique personality makes him an unforgettable character in the world of mathematics. Incapable of the smallest of household tasks and having no permanent home or job, he was sustained by the generosity of colleagues and by his own belief in the beauty of numbers. Witty and filled with the sort of mathematical puzzles that intrigued Erdős and continue to fascinate mathematicians today, My Brain Is Open is the story of this strange genius and a journey in his footsteps through the world of mathematics, where universal truths await discovery like hidden treasures and where brilliant proofs are poetry.

    A lecture class taught by Wittgenstein, however, hardly resembled a lecture. He sat on a chair in the middle of the room, with some of the class sitting in chairs, some on the floor. He never used notes. He paused frequently, sometimes for several minutes, while he puzzled out a problem. He often asked his listeners questions and reacted to their replies. Many meetings were largely conversation. These lectures were attended by, among others, D. A. T. Gasking, J. N. Findlay, Stephen Toulmin, Alan Turing, G. H. von Wright, R. G. Bosanquet, Norman Malcolm, Rush Rhees, and Yorick Smythies. Notes taken by these last four are the basis for the thirty-one lectures in this book. The lectures covered such topics as the nature of mathematics, the distinctions between mathematical and everyday languages, the truth of mathematical propositions, consistency and contradiction in formal systems, the logicism of Frege and Russell, Platonism, identity, negation, and necessary truth. The mathematical examples used are nearly always elementary.

    It introduces first year Ph.D. students to standard graduate econometrics material from a modern perspective. It covers all the standard material necessary for understanding the principal techniques of econometrics from ordinary least squares through cointegration. The book is also distinctive in developing both time-series and cross-section analysis fully, giving the reader a unified framework for understanding and integrating results.Econometrics has many useful features and covers all the important topics in econometrics in a succinct manner. All the estimation techniques that could possibly be taught in a first-year graduate course, except maximum likelihood, are treated as special cases of GMM (generalized methods of moments). Maximum likelihood estimators for a variety of models (such as probit and tobit) are collected in a separate chapter. This arrangement enables students to learn various estimation techniques in an efficient manner. Eight of the ten chapters include a serious empirical application drawn from labor economics, industrial organization, domestic and international finance, and macroeconomics. These empirical exercises at the end of each chapter provide students a hands-on experience applying the techniques covered in the chapter. The exposition is rigorous yet accessible to students who have a working knowledge of very basic linear algebra and probability theory. All the results are stated as propositions, so that students can see the points of the discussion and also the conditions under which those results hold. Most propositions are proved in the text.For those who intend to write a thesis on applied topics, the empirical applications of the book are a good way to learn how to conduct empirical research. For the theoretically inclined, the no-compromise treatment of the basic techniques is a good preparation for more advanced theory courses.

    This book will offer students a broad outline of essential mathematics and will help to fill in the gaps in their knowledge. The author explains the basic points and a few key results of all the most important undergraduate topics in mathematics, emphasizing the intuitions behind the subject. The topics include linear algebra, vector calculus, differential and analytical geometry, real analysis, point-set topology, probability, complex analysis, set theory, algorithms, and more. An annotated bibliography offers a guide to further reading and to more rigorous foundations.

    There are more than 5000 fintech startups operating, and 50 of them have already reached a billion-dollar valuation. The scope of this market goes way beyond online payments. Financial technology promises to change the way we manage our money online, disrupting the landscape of the financial services industry is being disrupted. Understanding its many facets is the key to navigating the complex nuances of this global industry.Fintech in a Flash is your comprehensive guide to the future of banking and insurance. The book aims to break down the key concepts in a way that will help you understand every aspect so that you can take advantage of new technologies. Inside you’ll find an array of hot topics such as online payments, crowdfunding, challenger banks, online insurance, digital lending, big data, and digital commerce. It will make you rethink the way that you manage your money online, and even find new ways of making online payments. Comprehensive, organized, and detailed, this guide is your go-to source for everything you need to confidently navigate the ever-changing scene of this booming industry.If you decide to buy this book now, you'll get: Easy to understand explanations of the 14 main areas of fintech The author's view on the future of each of these areas Insight into the main fintech hubs in the world Insight into the so called Unicorns, the fintech firms that have made it past a $1 billion valuation More than 100 upcoming fintech companies to watch About the Author: Agustín Rubini is an argentinean-born economist, master in international business, and Director at Banking Innovations. Passionate about building the future of financial services, Agustín spends much of his time speaking and writing on financial technology and advising businesses on innovation and digital transformation. He is a specialist in driving changes in top class banks that want to lead in how customers manage their money online. Tags: fintech, financial technology, financial services technology, money online, online payment, online insurance, insurtech, investing online, wealth management online, wealthtech, regtech, cybercrime, digital lending, digital commerce, ecommerce, e-commerce. Get started immediately Download now and take the first step on your very own road to mastering fintech. Scroll to the top of the page and hit the buy button.

    Big and informative, "The New York Times Book of Mathematics" gathers more than 110 articles written from 1892 to 2010 that cover statistics, coincidences, chaos theory, famous problems, cryptography, computers, and many other topics. Edited by Pulitzer Prize finalist and senior "Times" writer Gina Kolata, and featuring renowned contributors such as James Gleick, William L. Laurence, Malcolm W. Browne, George Johnson, and John Markoff, it's a must-have for any math and science enthusiast!

    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.

    We chase ‘winning streaks’ that are often just illusions, and we are all too predictable exactly when we try hardest not to be.In the 1970s, Daniel Kahneman and Amos Tversky coined the phrase ‘representativeness’ to describe the psychology of this behaviour. Since then representativeness has been used by auditors to catch people fiddling their tax returns and by hedge fund managers to reap billions from the emotions of small investors. Now Poundstone for the first time makes these techniques fun, easy, and profitable for everyone, in the everyday situations that matter. You’ll learn how to tackle multiple choice tests, what internet passwords to avoid, how to up your odds of winning the office Premier League sweepstakes, and the best ways to invest your money.

    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.