King of Infinite Space: Donald Coxeter, the Man Who Saved Geometry


Siobhan Roberts - 2006
    Yet geometry is so much more than shapes and numbers; indeed, it governs much of our lives—from architecture and microchips to car design, animated movies, the molecules of food, even our own body chemistry. And as Siobhan Roberts elegantly conveys in The King of Infinite Space, there can be no better guide to the majesty of geometry than Donald Coxeter, perhaps the greatest geometer of the twentieth century.Many of the greatest names in intellectual history—Pythagoras, Plato, Archimedes, Euclid— were geometers, and their creativity and achievements illuminate those of Coxeter, revealing geometry to be a living, ever-evolving endeavor, an intellectual adventure that has always been a building block of civilization. Coxeter's special contributions—his famed Coxeter groups and Coxeter diagrams—have been called by other mathematicians "tools as essential as numbers themselves," but his greatest achievement was to almost single-handedly preserve the tradition of classical geometry when it was under attack in a mathematical era that valued all things austere and rational.Coxeter also inspired many outside the field of mathematics. Artist M. C. Escher credited Coxeter with triggering his legendary Circle Limit patterns, while futurist/inventor Buckminster Fuller acknowledged that his famed geodesic dome owed much to Coxeter's vision. The King of Infinite Space is an elegant portal into the fascinating, arcane world of geometry.

Elementary Analysis: The Theory of Calculus


Kenneth A. Ross - 1980
    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.

Calculus On Manifolds: A Modern Approach To Classical Theorems Of Advanced Calculus


Michael Spivak - 1965
    The approach taken here uses elementary versions of modern methods found in sophisticated mathematics. The formal prerequisites include only a term of linear algebra, a nodding acquaintance with the notation of set theory, and a respectable first-year calculus course (one which at least mentions the least upper bound (sup) and greatest lower bound (inf) of a set of real numbers). Beyond this a certain (perhaps latent) rapport with abstract mathematics will be found almost essential.

Painless Algebra


Lynette Long - 1998
    The author defines all terms, points out potential pitfalls in algebraic calculation, and makes problem solving a fun activity. New in this edition are painless approaches to understanding and graphing linear equations, solving systems of linear inequalities, and graphing quadratic equations. Barron’s popular Painless Series of study guides for middle school and high school students offer a lighthearted, often humorous approach to their subjects, transforming details that might once have seemed boring or difficult into a series of interesting and mentally challenging ideas. Most titles in the series feature many fun-to-solve “Brain Tickler” problems with answers at the end of each chapter.

Mathletics: How Gamblers, Managers, and Sports Enthusiasts Use Mathematics in Baseball, Basketball, and Football


Wayne L. Winston - 2009
    How does professional baseball evaluate hitters? Is a singles hitter like Wade Boggs more valuable than a power hitter like David Ortiz? Should NFL teams pass or run more often on first downs? Could professional basketball have used statistics to expose the crooked referee Tim Donaghy? Does money buy performance in professional sports?In Mathletics, Wayne Winston describes the mathematical methods that top coaches and managers use to evaluate players and improve team performance, and gives math enthusiasts the practical tools they need to enhance their understanding and enjoyment of their favorite sports--and maybe even gain the outside edge to winning bets. Mathletics blends fun math problems with sports stories of actual games, teams, and players, along with personal anecdotes from Winston's work as a sports consultant. Winston uses easy-to-read tables and illustrations to illuminate the techniques and ideas he presents, and all the necessary math concepts--such as arithmetic, basic statistics and probability, and Monte Carlo simulations--are fully explained in the examples.After reading Mathletics, you will understand why baseball teams should almost never bunt, why football overtime systems are unfair, why points, rebounds, and assists aren't enough to determine who's the NBA's best player--and much, much more.

Introduction to Graph Theory


Richard J. Trudeau - 1994
    This book leads the reader from simple graphs through planar graphs, Euler's formula, Platonic graphs, coloring, the genus of a graph, Euler walks, Hamilton walks, more. Includes exercises. 1976 edition.

A Short Account of the History of Mathematics


W. Rouse Ball - 2020
    Maisel, Monk) calmly tells the tale of how the ancient Greeks formalized the study of mathematics based on Phoenician teachings. Bedtime stories are narrated by the world’s most celebrated voices and written with no beginning, middle, or end so you don’t stay up to hear what happens next. They're interesting enough to give your mind something to focus on, but delivered in a way that encourages sleep. This title is part of the Audible Sleep Collection, exclusive audio experiences created to invite relaxation and sleep. New and free for members.Public Domain (P)2020 Audible

The Golden Section: Nature’s Greatest Secret


Scott Olsen - 2006
    The Golden Section—otherwise known as phi, the golden mean, or the golden ratio—is one of the most elegant and beautiful rations in the universe.Defined as a line segment divided into two unequal parts, such that the ratio of the shorter portion to the longer portion is the same as the ratio of the longer portion to the whole, it pops up throughout nature—in water, DNA, the proportions of fish and butterflies, and the number of teeth we possess—as well as in art and architecture, music, philosophy, science, and mathematics.Beautifully illustrated, The Golden Section tells the story of this remarkable construct and its wide-ranging impact on civilization and the natural world.

Mathematical Analysis


Tom M. Apostol - 1957
    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.

How to Make $1,000 Per Day Clear Profit on Amazon with One Single $35 Product You Choose: - and - How to Become an After-Tax Cash Millionaire in 3 Simple ... Make Money on the Internet, Small Business)


Bradford Sullivan - 2014
     * Compelling evidence that selling products on Amazon may be the best home-based business opportunity ever created * The Simple Profit Blueprint – How to Make $1,000 Per Day Clear Profit on Amazon with One Single $35 Product You Choose * The biggest obstacle in your way of achieving that goal and how I will help you overcome it (Hint: It's all in your head) * What selling products on Amazon is all about * The common misconceptions about selling products on Amazon * The powerful advantages to selling on Amazon as opposed to trying to sell products online on your own * The PRICELESS benefits to “Partnering” with Amazon * The basics of selling products on Amazon * The basics of finding profitable products to sell on Amazon * The two distinctly different methods to find the products you’ll be selling on Amazon * The “Retail Arbitrage” method of sourcing products to sell on Amazon * The “Private Label” method of sourcing products to sell on Amazon * Two distinctly different methods of Private Labeling products to sell on Amazon * Two distinctly different ways to sell your products on Amazon * Our (my partner and I) experience in our first year as Amazon sellers, exactly how much money we made and what it taught us * Retail Arbitrage vs. Private Label * The two major obstacles to making really big money with Retail Arbitrage * How to sign-up as an Amazon seller today for free and why you'll soon want to pay $39.99 per month to go "Pro" * You're creating "AZ Money Machines" (AMMs instead of ATMs) * How Amazon pays you and the breakdown of the check Amazon would be sending you every two weeks (or depositing directly into your bank account) * How the blueprint creates a self-perpetuating NET annual income of $360,720 * Why you should NOT make your goal $1,000 per day * How to become a cash millionaire in 3 simple steps * How building an enormously successful Amazon business is a simple step-by-step process * How to earn insanely high annualized returns on your product investments * How you can “fail” your way to success * The “Beyond Amazon” Bonus * How to scale your business up with three simple steps to where you are a bona fide cash millionaire * Can you really make more money in one week than you've ever made on your old job in one year? (Simple answer – YES!) * Where to get 100% of the money you need to grow your Amazon business as large as you want – at 0% interest * Where to find MORE money to build your business * Your Free* Training * Your Shortcut to the BIG Money * Your action steps to get started today * Chart your success to $1,000 per day – and more * The "Secret Sauce" that will supercharge your motivation and determination to succeed in this business Tags: Amazon Private Label FBA, FBA, Private Label FBA, Amazon FBA, Amazon FBA Secrets, Sell on Amazon, Retail Arbitrage, Physical Products, Private Label, FBA, Private Label, Home-Based Business, Amazing Selling Machine, Fulfillment by Amazon, Private La

A Course of Pure Mathematics


G.H. Hardy - 1908
    Since its publication in 1908, it has been a classic work to which successive generations of budding mathematicians have turned at the beginning of their undergraduate courses. In its pages, Hardy combines the enthusiasm of a missionary with the rigor of a purist in his exposition of the fundamental ideas of the differential and integral calculus, of the properties of infinite series and of other topics involving the notion of limit.

Short-Cut Math


Gerard W. Kelly - 1969
    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.

The Magic of Believing (Original Classic Edition)


Claude Bristol - 2014
    Times have changed since the late 1940s, but ambitions have not, and millions of Americans have drawn on the no-nonsense techniques described in The Magic of Believing to reach their dreams and achieve success. Obstacles have become a thing of the past, when they were “blasted” with Bristol’s powerful book, T.N.T.: It Rocks the Earth. Adhering to his corner- stone philosophy on the power of believing, T.N.T. offers practical suggestions on how to accurately and scientifically proceed to get what you want in life. In these 2 great books, you will learn: • How to project confidence
• How to impress your subconscious mind
• Why a focused aim leads to achievement.
• What your appearance reveals about you.
• The mental secret to success.
• How to transfer your thoughts to others
• To have a power at your command that astounds Let the wisdom the author imparts, infiltrate both your conscious and uncon- scious mind. It’s time to shift into high gear and forward motion, as you commit to your greatest and highest purpose. The late Claude M. Bristol was a lawyer, lecturer, investment banker, and foreign correspondent. He is the coauthor of the long-time best- seller, TNT: The Power Within. Claude Bristol’s tough-minded, hard-hitting message remains as fresh and focused today as when his books were first published, when the subconscious mind was less understood. Times have changed since the late 1940s, but ambitions have not, and millions of Americans have drawn on the no-nonsense techniques described in The Magic of Believing to reach their dreams and achieve success. Obstacles have become a thing of the past, when they were “blasted” with Bristol’s powerful book, T.N.T.: It Rocks the Earth. Adhering to his corner- stone philosophy on the power of believing, T.N.T. offers practical suggestions on how to accurately and scientifically proceed to get what you want in life. In these 2 great books, you will learn: • How to project confidence
• How to impress your subconscious mind
• Why a focused aim leads to achievement.
• What your appearance reveals about you.
• The mental secret to success.
• How to transfer your thoughts to others
• To have a power at your command that astounds Let the wisdom the author imparts, infiltrate both your conscious and uncon- scious mind. It’s time to shift into high gear and forward motion, as you commit to your greatest and highest purpose. The late Claude M. Bristol was a lawyer, lecturer, investment banker, and foreign correspondent. He is the coauthor of the long-time best- seller, TNT: The Power Within.

Me and My Big Mouth Study Guide


Joyce Meyer - 1997
    Here is a personalized "Heads Up!" from Joyce Meyer with a tongue-transforming question-and-answer workbook that will challenge the readers to ask themselves if their mouth is saved!Tagging on her bestselling book, "Me and My Big Mouth!", Joyce gives the readers a light-hearted ultimatum -- "complain and remain, praise and be raised".The fill-in-the-blank format filled with Scripture references and the answer key in back will ignite renewal in the readers' minds and empower them to "master their mouths".

The Shape of a Life: One Mathematician's Search for the Universe's Hidden Geometry


Shing-Tung Yau - 2019
      “An unexpectedly intimate look into a highly accomplished man, his colleagues and friends, the development of a new field of geometric analysis, and a glimpse into a truly uncommon mind.”—Nina MacLaughlin, Boston Globe “Engaging, eminently readable . . . For those with a taste for elegant and largely jargon-free explanations of mathematics, The Shape of a Life promises hours of rewarding reading.”—Judith Goodstein, American Scientist  Harvard geometer and Fields medalist Shing-Tung Yau has provided a mathematical foundation for string theory, offered new insights into black holes, and mathematically demonstrated the stability of our universe. In this autobiography, Yau reflects on his improbable journey to becoming one of the world’s most distinguished mathematicians. Beginning with an impoverished childhood in China and Hong Kong, Yau takes readers through his doctoral studies at Berkeley during the height of the Vietnam War protests, his Fields Medal–winning proof of the Calabi conjecture, his return to China, and his pioneering work in geometric analysis. This new branch of geometry, which Yau built up with his friends and colleagues, has paved the way for solutions to several important and previously intransigent problems. With complicated ideas explained for a broad audience, this book offers readers not only insights into the life of an eminent mathematician, but also an accessible way to understand advanced and highly abstract concepts in mathematics and theoretical physics.