Intriguing, witty, paradoxical productions of one of the world's foremost creators of puzzles.This book was converted from its physical edition to the digital format by a community of volunteers. You may find it for free on the web. Purchase of the Kindle edition includes wireless delivery.

    There is joy and beauty in mathematics, and in more than two dozen essays drawn from his popular “Good Math” blog, you’ll find concepts, proofs, and examples that are often surprising, counterintuitive, or just plain weird.Mark begins his journey with the basics of numbers, with an entertaining trip through the integers and the natural, rational, irrational, and transcendental numbers. The voyage continues with a look at some of the oddest numbers in mathematics, including zero, the golden ratio, imaginary numbers, Roman numerals, and Egyptian and continuing fractions. After a deep dive into modern logic, including an introduction to linear logic and the logic-savvy Prolog language, the trip concludes with a tour of modern set theory and the advances and paradoxes of modern mechanical computing.If your high school or college math courses left you grasping for the inner meaning behind the numbers, Mark’s book will both entertain and enlighten you.

    Take a journey through the fascinating story of fractions, numbers, patterns, and shapes in order to better understand the complex world we live in.Continuing the "Big Ideas" series' trademark combination of authoritative, clear text and bold graphics to chart the development of maths through history, the book explores and explains some of the most complex and fascinating mathematical subjects. Delve into everything from the mathematical ideas and inventions of the ancient world such as the first number systems, magic squares, and the Chinese abacus, through to the developments in mathematics during medieval and Renaissance Europe, to the rise of group theory and cryptography more recently.This diverse and inclusive account of mathematics will have something for everybody: for those interested in the maths behind world economies, secret spies, modern technology and plenty more, taking readers around the world from Babylon to Bletchley Park. Tracing maths through the Scientific Revolution to its 21st-century use in computers, the internet, and AI, The Maths Book uses an innovative visual approach to make the subject accessible to everyone, casual readers and students alike.

    Now, at a moment when mathematicians are finally moving in on a proof, Dartmouth professor Dan Rockmore tells the riveting history of the hunt for a solution.In 1859 German professor Bernhard Riemann postulated a law capable of describing with an amazing degree of accuracy the occurrence of the prime numbers. Rockmore takes us all the way from Euclid to the mysteries of quantum chaos to show how the Riemann hypothesis lies at the very heart of some of the most cutting-edge research going on today in physics and mathematics.

    The aim of a course in real analysis should be to challenge and improve mathematical intuition rather than to verify it. The philosophy of this book is to focus attention on questions which give analysis its inherent fascination.

    The "Cooking Light 5-Ingredient 15-Minute Cookbook" meets those needs and delivers-with big flavor "and" nutritious dishes. And instead of just giving you recipes, we're giving you meals-94 in all! Each meal features a main-dish recipe and either a short recipe to go with it or suggestions for commercial side items. Plus there's a photograph of every meal! Grocery Shopping SolutionsWith each meal plan, you get a grocery list of everything you need to complete the meal. Stock up on the ingredients from the Stress-Free Grocery List, and you can make one-third of the recipes in this book. No WorriesThe nutrient analysis with every recipe gives you values for calories, fat, protein, carbohydrate, fiber, cholesterol, and sodium. You can use the exchange values to fit the recipes into your meal plan.All This with Only 5 Ingredients?You'll be surprised at all the recipes you can make using only 5 ingredients: Chicken Alfredo Pasta, Deep-Dish Pizza Casserole, Speedy Chicken Cacciatore, Teriyaki Roast Chicken, Barbecue Pork Chops ...just to name a few.Avoid the Rush HourWhen you have only 15 minutes to get dinner on the table, try these recipes: Cajun-Style Swordfish, Fresh Tomato Pizza, Ground Beef Stroganoff, Chili Bacon Burgers, Teriyaki-Ginger Pork Tenderloin, Zesty Fettuccine and Shrimp.Added ValueCreate 5 different desserts or salads from different combinations of the same 5 ingredients. Start with easy-to-make recipes in the Mix & Match chapter like Three-Bean Salad, Tex-Mex Salad, StrawberryShortcakes, and Brownie Sundaes.Slow Down to Speed UpLearn how to let a slow cooker do the work for you. All with 5 ingredients or less, these recipes are worth coming home to: Chili Grande, Chicken Pepper Pot, Italian Pot Roast, Glazed Turkey.

    This is not the same as “doing math.” The latter usually involves the application of formulas, procedures, and symbolic manipulations; mathematical thinking is a powerful way of thinking about things in the world -- logically, analytically, quantitatively, and with precision. It is not a natural way of thinking, but it can be learned. Mathematicians, scientists, and engineers need to “do math,” and it takes many years of college-level education to learn all that is required. Mathematical thinking is valuable to everyone, and can be mastered in about six weeks by anyone who has completed high school mathematics. Mathematical thinking does not have to be about mathematics at all, but parts of mathematics provide the ideal target domain to learn how to think that way, and that is the approach taken by this short but valuable book. The book is written primarily for first and second year students of science, technology, engineering, and mathematics (STEM) at colleges and universities, and for high school students intending to study a STEM subject at university. Many students encounter difficulty going from high school math to college-level mathematics. Even if they did well at math in school, most are knocked off course for a while by the shift in emphasis, from the K-12 focus on mastering procedures to the “mathematical thinking” characteristic of much university mathematics. Though the majority survive the transition, many do not. To help them make the shift, colleges and universities often have a “transition course.” This book could serve as a textbook or a supplementary source for such a course. Because of the widespread applicability of mathematical thinking, however, the book has been kept short and written in an engaging style, to make it accessible to anyone who seeks to extend and improve their analytic thinking skills. Going beyond a basic grasp of analytic thinking that everyone can benefit from, the STEM student who truly masters mathematical thinking will find that college-level mathematics goes from being confusing, frustrating, and at times seemingly impossible, to making sense and being hard but doable. Dr. Keith Devlin is a professional mathematician at Stanford University and the author of 31 previous books and over 80 research papers. His books have earned him many awards, including the Pythagoras Prize, the Carl Sagan Award, and the Joint Policy Board for Mathematics Communications Award. He is known to millions of NPR listeners as “the Math Guy” on Weekend Edition with Scott Simon. He writes a popular monthly blog “Devlin’s Angle” for the Mathematical Association of America, another blog under the name “profkeithdevlin”, and also blogs on various topics for the Huffington Post.

    Inside PFTB (Proofs from The Book) is indeed a glimpse of mathematical heaven, where clever insights and beautiful ideas combine in astonishing and glorious ways. There is vast wealth within its pages, one gem after another. Some of the proofs are classics, but many are new and brilliant proofs of classical results. ...Aigner and Ziegler... write: ..". all we offer is the examples that we have selected, hoping that our readers will share our enthusiasm about brilliant ideas, clever insights and wonderful observations." I do. ... " Notices of the AMS, August 1999..". the style is clear and entertaining, the level is close to elementary ... and the proofs are brilliant. ..." LMS Newsletter, January 1999This third edition offers two new chapters, on partition identities, and on card shuffling. Three proofs of Euler's most famous infinite series appear in a separate chapter. There is also a number of other improvements, such as an exciting new way to "enumerate the rationals."

    You need never go hungry again with these delicious, straightforward recipes for cooking and preparing ahead. Whether you want to make a three-course meal on Friday night for guests or have a few yummy family suppers ready in advance, with more than 100 recipes to choose from, Cook Now Eat Later is perfect for the busy home cook. As you would expect from Mary, the recipes are foolproof and easy-to-follow, and they include clear instructions on how to get one (or two or three!) steps ahead. With some dishes you'll be able to cook everything in advance, while others can be prepared ahead and assembled and then just cooked on the day. Find out when you can freeze to get ahead and when it's best to keep it fresh. Simple directions show you what to do to take all the stress out of cooking. Let Mary give you the confidence to plan ahead. With Cook Now Eat Later you can have the ideal dish for every occasion ready in no time.

    The Times called it elegant, discursive, and littered with quotes and allusions from Aquinas via Gershwin to Woolf and The Philadelphia Inquirer praised it as absolutely scintillating. In this delightful new book, Robert Kaplan, writing together with his wife Ellen Kaplan, once again takes us on a witty, literate, and accessible tour of the world of mathematics. Where The Nothing That Is looked at math through the lens of zero, The Art of the Infinite takes infinity, in its countless guises, as a touchstone for understanding mathematical thinking. Tracing a path from Pythagoras, whose great Theorem led inexorably to a discovery that his followers tried in vain to keep secret (the existence of irrational numbers); through Descartes and Leibniz; to the brilliant, haunted Georg Cantor, who proved that infinity can come in different sizes, the Kaplans show how the attempt to grasp the ungraspable embodies the essence of mathematics. The Kaplans guide us through the Republic of Numbers, where we meet both its upstanding citizens and more shadowy dwellers; and we travel across the plane of geometry into the unlikely realm where parallel lines meet. Along the way, deft character studies of great mathematicians (and equally colorful lesser ones) illustrate the opposed yet intertwined modes of mathematical thinking: the intutionist notion that we discover mathematical truth as it exists, and the formalist belief that math is true because we invent consistent rules for it. Less than All, wrote William Blake, cannot satisfy Man. The Art of the Infinite shows us some of the ways that Man has grappled with All, and reveals mathematics as one of the most exhilarating expressions of the human imagination.

    From Edward Lorenz’s discovery of the Butterfly Effect, to Mitchell Feigenbaum’s calculation of a universal constant, to Benoit Mandelbrot’s concept of fractals, which created a new geometry of nature, Gleick’s engaging narrative focuses on the key figures whose genius converged to chart an innovative direction for science. In Chaos, Gleick makes the story of chaos theory not only fascinating but also accessible to beginners, and opens our eyes to a surprising new view of the universe.

    Since the publication of the First Edition over thirty years ago, Div, Grad, Curl, and All That has been widely renowned for its clear and concise coverage of vector calculus, helping science and engineering students gain a thorough understanding of gradient, curl, and Laplacian operators without required knowledge of advanced mathematics.

    It deals with one powerful obsession that preoccupied Escher: what he called "the regular division of the plane," the puzzlelike interlocking of birds, fish, lizards, and other natural forms in continuous patterns. Schattschneider asks, "How did he do it?" She answers the question by analyzing Escher's notebooks." Visions of Symmetry includes many of Escher's masterworks, as well as hundreds of lesser-known examples of his work. This new edition also features a foreward and an illustrated epilogue that reveals new information about Escher's inspiration and shows how his ideas of symmetry have influenced mathematicians, computer scientists, and contemporary artists.

    Have you ever opened a Kindle book to find that the font started out way too small or way too large? Have you tried to change to a different font while reading and discovered you couldn't? Have you jumped to a new chapter in a Kindle book and seen that the chapter heading lost its formatting? Has a Kindle completely ignored formatting you knew was in the book? According to Amazon, the simplest way to publish your Kindle book is to upload an HTML file you've saved from Microsoft Word or another app. By itself, that method can bring you maybe 80% of the way to a well-formatted, trouble-free ebook. But what about the other 20%? In this follow-up to his bestselling -From Word to Kindle, - Aaron Shepard takes your saved HTML as a starting point and tells how to quickly tweak and tune it to avoid common problems. Assuming no knowledge of HTML, he introduces the basics of the language, then reveals how to use find-and-replace and macros to touch up an entire book in seconds! If you're serious about Kindle publishing and you're technically inclined -- but not a full-fledged geek -- Aaron provides the tips you need to bring your Kindle book to the next level, making it something truly to be proud of. ///////////////////////////////////////////////// Aaron Shepard is a foremost proponent of the new business of profitable self publishing, which he has practiced and helped develop since 1998. He is the author of -Aiming at Amazon, - -POD for Profit, - -Perfect Pages, - and Amazon's #1 and #2 bestselling paid books on Kindle formatting, -From Word to Kindle- and -Pictures on Kindle.- ///////////////////////////////////////////////// CONTENTS Getting Started 1 WORKING WITH HTML HTML and Kindle HTML Export HTML Editing HTML Processing HTML Basics HTML Checking HTML Cleanup HTML Testing 2 HTML FIXES Fixes for Fonts Fixes for Paragraphs Fixes for Headings Fixes for Line Breaking Fixes for Pictures Fixes for Navigation ///////////////////////////////////////////////// SAMPLE Here are some of the things you can accomplish through changes in HTML. * Adjust bookmarks so headings retain proper formatting when jumped to. * Remove settings that stop the user from choosing their own. * Keep fonts from appearing much too small or much too large when the book is opened. * Make sure indents and other spacing stays relative to larger and smaller font sizes. * Avoid line breaks that leave short words dangling at the ends of lines or paragraphs. * Make up for features lost in translation from your word processor, like nonbreaking hyphens. * Stop -ghost hyphens- from appearing in the middle of words. * Keep pages of text from disappearing for some users. * Prevent the Kindle from applying its own defaults in place of your settings.

    With a new introduction, three new chapters, modernized language and methods throughout, and an appendix of challenging and enjoyable practice problems, Calculus Made Easy has been thoroughly updated for the modern reader.