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The principles of algebra were founded by al-Khwarizmi many centuries ago, in a time when mankind had no calculators, computers, or electronic gadgets. There were no telephones and the only means of communication was by messenger on horseback and boat. Yet the usefulness of algebra in almost every walk of life involving numbers has ensured not only its survival but also its continued development right up to the present day. Armchair Algebra is a collection of problems, some with a very practical application, others designed as purely theoretical puzzles, that will offer something of interest to everyone. Each section is written in an easy-to-follow format and guides the reader progressively through this fascinating subject. Understand algebra, and all other branches of mathematics and arithmetic will suddenly open up in front of you. Armchair Algebra starts with a section of Algebra Basics, which provides topic-specific introductions to all of the basic theories and skills you’ll need for the exercises contained throughout the book. Each subsequent section consists of a combination of exercises, profiles, and background information on a range of fascinating subjects.
Prime Obsession taught us not to be afraid to put the math in a math book. Unknown Quantity heeds the lesson well. So grab your graphing calculators, slip out the slide rules, and buckle up! John Derbyshire is introducing us to algebra through the ages-and it promises to be just what his die-hard fans have been waiting for. "Here is the story of algebra." With this deceptively simple introduction, we begin our journey. Flanked by formulae, shadowed by roots and radicals, escorted by an expert who navigates unerringly on our behalf, we are guaranteed safe passage through even the most treacherous mathematical terrain. Our first encounter with algebraic arithmetic takes us back 38 centuries to the time of Abraham and Isaac, Jacob and Joseph, Ur and Haran, Sodom and Gomorrah. Moving deftly from Abel's proof to the higher levels of abstraction developed by Galois, we are eventually introduced to what algebraists have been focusing on during the last century. As we travel through the ages, it becomes apparent that the invention of algebra was more than the start of a specific discipline of mathematics-it was also the birth of a new way of thinking that clarified both basic numeric concepts as well as our perception of the world around us. Algebraists broke new ground when they discarded the simple search for solutions to equations and concentrated instead on abstract groups. This dramatic shift in thinking revolutionized mathematics. Written for those among us who are unencumbered by a fear of formulae, Unknown Quantity delivers on its promise to present a history of algebra. Astonishing in its bold presentation of the math and graced with narrative authority, our journey through the world of algebra is at once intellectually satisfying and pleasantly challenging.
Armchair Physics is an interactive guide that's part of a series of fascinating subjects - physics, algebra, and chemistry. They contain clear and concise explanations of different concepts, as well as profiles of key thinkers and their discoveries. A unique feature of this series are the simple, step-by-step exercises. Some of these have everyday applications, others are theoretical puzzles, and all are designed to challenge you and test your newly acquired knowledge. Written in a highly readable style suitable for any audience. The aim of each book is to convey the basic principles of a subject - and the stories behind them - to anyone who is interested in learning about the universe around them, with an emphasis on how these seemingly abstract principles relate to everyday experiences. Armchair Physics covers the history and development of physics and is an interesting refresher book on the subject. It's great as a study guide for the student or an introduction for the everyday savant. Readable, understandable, it is a brilliant tool to better understand the broad ideas in physics.
The Empire of Chance tells how quantitative ideas of chance transformed the natural and social sciences, as well as daily life over the last three centuries. A continuous narrative connects the earliest application of probability and statistics in gambling and insurance to the most recent forays into law, medicine, polling and baseball. Separate chapters explore the theoretical and methodological impact in biology, physics and psychology. Themes recur - determinism, inference, causality, free will, evidence, the shifting meaning of probability - but in dramatically different disciplinary and historical contexts. In contrast to the literature on the mathematical development of probability and statistics, this book centres on how these technical innovations remade our conceptions of nature, mind and society. Written by an interdisciplinary team of historians and philosophers, this readable, lucid account keeps technical material to an absolute minimum. It is aimed not only at specialists in the history and philosophy of science, but also at the general reader and scholars in other disciplines.
An award-winning history of the Enlightenment quest to devise a mathematical model of rationality What did it mean to be reasonable in the Age of Reason? Enlightenment mathematicians such as Blaise Pascal, Jakob Bernoulli, and Pierre Simon Laplace sought to answer this question, laboring over a theory of rational decision, action, and belief under conditions of uncertainty. Lorraine Daston brings to life their debates and philosophical arguments, charting the development and application of probability theory by some of the greatest thinkers of the age. Now with an incisive new preface, Classical Probability in the Enlightenment traces the emergence of new kind of mathematics designed to turn good sense into a reasonable calculus.
Catholic pamphlet.
Invest my money? Forget it. Who knows which way the stock market is headed? And I just plain don't know how to do it. I'll stick my paycheck in the bank, keep my credit card debt as low as I can, and worry about my financial future when I have some extra money. Besides, there's always Social Security, right? WRONG, according to the authors of The Armchair Millionaire (and the geniuses behind the Armchair Millionaire Web site), whose philosophy is simple: if your money isn't working for you, then you'll be working a lot longer than you want to. In plain English, Lewis Schiff and Douglas Gerlach, along with real-life cyber-Armchair Millionaires, show you how to save without budgeting the fun out of life, and invest wisely without losing sleep over your portfolio. "Five Steps to Financial Freedom" will make it easy for you to build an investment portfolio and help you to: PAY LOWER TAXES: Why and how to give to your IRA or 401(k) until it hurts. PAY YOURSELF FIRST: The secret to building a nest egg is to treat your savings like you treat any bill -- put your financial future at the top of the list of regular monthly payments. GET THE MOST FOR YOUR MONEY: "Dollar-cost averaging" has been the most successful investment timing method ever used by the pros. Find out how to make it work for you. BUILD YOUR PLAN: Forecast when you'll reach your million-dollar goal with a personalized financial action plan. DISCOVER THE TRUTH BEHIND WHY YOU MUST START INVESTING FOR YOUR FUTURE TODAY: Find out why compounded interest is often called the key to successful wealth-building. Packed with practical advice, personalized tools such as user-friendly worksheets, and actual stories of ordinary people who have built extraordinary portfolios using these methods, The Armchair Millionaire will show you how to get on the road to financial independence at last.
Sponsored by the Association for Women in Mathematics
No amateur or math authority can be without this ultimate compendium of classic puzzles, paradoxes, and puzzles from America's best-loved mathematical expert. 320 line drawings.