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 Money Formula: Dodgy Finance, Pseudo Science, and How Mathematicians Took Over the Markets


Paul Wilmott - 2017
    Written not from a post-crisis perspective – but from a preventative point of view – this book traces the development of financial derivatives from bonds to credit default swaps, and shows how mathematical formulas went beyond pricing to expand their use to the point where they dwarfed the real economy. You'll learn how the deadly allure of their ice-cold beauty has misled generations of economists and investors, and how continued reliance on these formulas can either assist future economic development, or send the global economy into the financial equivalent of a cardiac arrest. Rather than rehash tales of post-crisis fallout, this book focuses on preventing the next one. By exploring the heart of the shadow economy, you'll be better prepared to ride the rough waves of finance into the turbulent future. Delve into one of the world's least-understood but highest-impact industries Understand the key principles of quantitative finance and the evolution of the field Learn what quantitative finance has become, and how it affects us all Discover how the industry's next steps dictate the economy's future How do you create a quadrillion dollars out of nothing, blow it away and leave a hole so large that even years of "quantitative easing" can't fill it – and then go back to doing the same thing? Even amidst global recovery, the financial system still has the potential to seize up at any moment. The Money Formula explores the how and why of financial disaster, what must happen to prevent the next one.

Mathematics: Is God Silent?


James Nickel - 2001
    The addition of this book is a must for all upper-level Christian school curricula and for college students and adults interested in math or related fields of science and religion. It will serve as a solid refutation for the claim, often made in court, that mathematics is one subject, which cannot be taught from a distinctively Biblical perspective.

Calculus


Dale E. Varberg - 1999
    Covering various the materials needed by students in engineering, science, and mathematics, this calculus text makes effective use of computing technology, graphics, and applications. It presents at least two technology projects in each chapter.

Statistical Mechanics


R.K. Pathria - 1972
    Highly recommended for graduate-level libraries.' ChoiceThis highly successful text, which first appeared in the year 1972 and has continued to be popular ever since, has now been brought up-to-date by incorporating the remarkable developments in the field of 'phase transitions and critical phenomena' that took place over the intervening years. This has been done by adding three new chapters (comprising over 150 pages and containing over 60 homework problems) which should enhance the usefulness of the book for both students and instructors. We trust that this classic text, which has been widely acclaimed for its clean derivations and clear explanations, will continue to provide further generations of students a sound training in the methods of statistical physics.

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.

The Art of Psychological Warfare: 51 Principles of Conflict Resolution, Negotiation, Strategy, Office Politics, Career Building, Self Help, & Motivation for Success & Happiness in Business & Life


Mark B. Warring - 2015
    The August 26, 2015 reviewer is correct in that there are some typos and at least one misuse of speech in this first edition and they will be corrected if there is enough interest for me to publish a corrected and expanded second edition. The reviewer suggests you read Mr. Greene's book instead, and while his books are excellent, I view his voice and message as distinctly different than mine.Furthermore, the reviewer admits he did not take the time to fully read my book, which would've only taken him about an hour to do, but still feels he can appropriately label it as "paranoia" with "the author... constantly looking over his shoulder, watching for the boogeyman." Emulating Mr. Greene's poetic and heightened writing style, he states "Where this book is flawed and reeks of amateur, Greene's book is slick and authoritative."I don't think my book is for everyone, because not everyone is willing to honestly evaluate how the self interest of others can, at times, collide with their own self interest. If you want a book with no grammatical errors, that is politically correct, and will not challenge your thinking in any way, then this book is not for you. If, on the other hand, you find the subject matter interesting based on the description below and are open minded enough to have your views challenged, then give this book a try. At present I have lowered the price from $2.99 USD to 99 cents in hopes of generating more interest in the book, and hopefully more balanced reviews.If you know anything about Amazon sales rank and pricing, then you know that very little revenue has been generated from this book. I didn't write and publish this for the money. I did it to challenge you. I humbly invite you to take this journey with me. You've got nothing to lose. Sincerely, Mark B. WarringThis book is not a joke. Psychological warfare is happening all around you regardless of whether you admit or not. Why continue to be an unknowing victim? Why continue to hopelessly wish that the world becomes fair? Why not understand the methods others are using against you so that you can know what your options are to defend yourself? You can be a good person with a strong sense of self while engaging in psychological warfare. And you don't have to lose your mind in the process.This brief book of approximately 10,000 words is about the way the world really works and what you can do about it. It is not a book about being nice to people and actively listening to them. Those books have their place, and I'm not necessarily knocking them, but this book won't waste your time with politically correct tactics that you're already smart, studied, and savvy enough to know about.This is a book about confronting your private thoughts about inevitable conflicts. Some of this book may completely shock you and cause you to confront reality for what it truly is. Think of this book as Lao Tzu meeting Sun Tzu meeting Machiavelli meeting Napoleon Hill and formulating a practical treatise for our time.No matter how little or how much money or power you have, you'll be attacked and exploited. But in the wake of conflict and stress, you can be happy and self expressed, as this is ultimately a book about enjoying life's highest victories. Please join me on this journey. Buy this book now and start reading it. I don't think you'll regret it.

The Calculus Gallery: Masterpieces from Newton to Lebesgue


William Dunham - 2004
    This book charts its growth and development by sampling from the work of some of its foremost practitioners, beginning with Isaac Newton and Gottfried Wilhelm Leibniz in the late seventeenth century and continuing to Henri Lebesgue at the dawn of the twentieth--mathematicians whose achievements are comparable to those of Bach in music or Shakespeare in literature. William Dunham lucidly presents the definitions, theorems, and proofs. Students of literature read Shakespeare; students of music listen to Bach, he writes. But this tradition of studying the major works of the masters is, if not wholly absent, certainly uncommon in mathematics. This book seeks to redress that situation.Like a great museum, The Calculus Gallery is filled with masterpieces, among which are Bernoulli's early attack upon the harmonic series (1689), Euler's brilliant approximation of pi (1779), Cauchy's classic proof of the fundamental theorem of calculus (1823), Weierstrass's mind-boggling counterexample (1872), and Baire's original category theorem (1899). Collectively, these selections document the evolution of calculus from a powerful but logically chaotic subject into one whose foundations are thorough, rigorous, and unflinching--a story of genius triumphing over some of the toughest, most subtle problems imaginable.Anyone who has studied and enjoyed calculus will discover in these pages the sheer excitement each mathematician must have felt when pushing into the unknown. In touring The Calculus Gallery, we can see how it all came to be.

Introduction to Superstrings and M-Theory


Michio Kaku - 1989
    Called by some, "the theory of everything," superstrings may solve a problem that has eluded physicists for the past 50 years, the final unification of the two great theories of the twentieth century, general relativity and quantum field theory. Now, here is a thoroughly revised, second edition of a course-tested comprehensive introductory graduate text on superstrings which stresses the most current areas of interest, not covered in other presentations, including: - Four-dimensional superstrings - Kac-Moody algebras - Teichm�ller spaces and Calabi-Yau manifolds - M-theory Membranes and D-branes - Duality and BPS relations - Matrix models The book begins with a simple discussion of point particle theory, and uses Feynman path integrals to unify the presentation of superstrings. It has been updated throughout, and three new chapters on M-theory have been added. Prerequisites are an acquaintance with quantum mechanics and relativity.

Elementary Number Theory


David M. Burton - 1976
    It reveals the attraction that has drawn leading mathematicians and amateurs alike to number theory over the course of history.