In Pursuit of the Unknown: 17 Equations That Changed the World


Ian Stewart - 2012
    We often overlook the historical link between mathematics and technological advances, says Stewart—but this connection is integral to any complete understanding of human history.Equations are modeled on the patterns we find in the world around us, says Stewart, and it is through equations that we are able to make sense of, and in turn influence, our world. Stewart locates the origins of each equation he presents—from Pythagoras's Theorem to Newton's Law of Gravity to Einstein's Theory of Relativity—within a particular historical moment, elucidating the development of mathematical and philosophical thought necessary for each equation's discovery. None of these equations emerged in a vacuum, Stewart shows; each drew, in some way, on past equations and the thinking of the day. In turn, all of these equations paved the way for major developments in mathematics, science, philosophy, and technology. Without logarithms (invented in the early 17th century by John Napier and improved by Henry Briggs), scientists would not have been able to calculate the movement of the planets, and mathematicians would not have been able to develop fractal geometry. The Wave Equation is one of the most important equations in physics, and is crucial for engineers studying the vibrations in vehicles and the response of buildings to earthquakes. And the equation at the heart of Information Theory, devised by Claude Shannon, is the basis of digital communication today.An approachable and informative guide to the equations upon which nearly every aspect of scientific and mathematical understanding depends, In Pursuit of the Unknown is also a reminder that equations have profoundly influenced our thinking and continue to make possible many of the advances that we take for granted.

Gamma: Exploring Euler's Constant


Julian Havil - 2003
    Following closely behind is y, or gamma, a constant that arises in many mathematical areas yet maintains a profound sense of mystery. In a tantalizing blend of history and mathematics, Julian Havil takes the reader on a journey through logarithms and the harmonic series, the two defining elements of gamma, toward the first account of gamma's place in mathematics. Introduced by the Swiss mathematician Leonhard Euler (1707-1783), who figures prominently in this book, gamma is defined as the limit of the sum of 1 + 1/2 + 1/3 + . . . Up to 1/n, minus the natural logarithm of n--the numerical value being 0.5772156. . . . But unlike its more celebrated colleagues π and e, the exact nature of gamma remains a mystery--we don't even know if gamma can be expressed as a fraction. Among the numerous topics that arise during this historical odyssey into fundamental mathematical ideas are the Prime Number Theorem and the most important open problem in mathematics today--the Riemann Hypothesis (though no proof of either is offered!). Sure to be popular with not only students and instructors but all math aficionados, Gamma takes us through countries, centuries, lives, and works, unfolding along the way the stories of some remarkable mathematics from some remarkable mathematicians.-- "Notices of the American Mathematical Society"

Mathematics: From the Birth of Numbers


Jan Gullberg - 1997
    The book is unique among popular books on mathematics in combining an engaging, easy-to-read history of the subject with a comprehensive mathematical survey text. Intended, in the author's words, "for the benefit of those who never studied the subject, those who think they have forgotten what they once learned, or those with a sincere desire for more knowledge," it links mathematics to the humanities, linguistics, the natural sciences, and technology.Contains more than 1000 original technical illustrations, a multitude of reproductions from mathematical classics and other relevant works, and a generous sprinkling of humorous asides, ranging from limericks and tall stories to cartoons and decorative drawings.

Group Theory in the Bedroom, and Other Mathematical Diversions


Brian Hayes - 2008
    (The also-rans that year included Tom Wolfe, Verlyn Klinkenborg, and Oliver Sacks.) Hayes's work in this genre has also appeared in such anthologies as The Best American Magazine Writing, The Best American Science and Nature Writing, and The Norton Reader. Here he offers us a selection of his most memorable and accessible pieces--including "Clock of Ages"--embellishing them with an overall, scene-setting preface, reconfigured illustrations, and a refreshingly self-critical "Afterthoughts" section appended to each essay.

BE A HUMAN CALCULATOR


Rajesh Sarswat - 2016
    However, the techniques that you shall find in this book have been tested and used (not only by the author but by countless other people) in examinations time and again.Many techniques mentioned in other books are pretty impractical and sometimes completely unusable. This book is not a package of magic. It is rather a package of methods that if practiced and persevered with can churn up magical results! This book could be a great resource for various competitive examinations and students in middle and senior school. It could help the reader in myriad ways depending upon his or her needs and scope for practice. At the same time one could figure out as to which technique would work for one and which would not, again depending upon one’s set of circumstances and needs. By reading this book, the students will be able to:(a) learn quicker methods by observing some simple techniques;compare various techniques available on each topic;(b) know the limitations of each technique;(c) save some precious minutes in various competitive and school examinations by employing the quick calculation techniques;(d) develop their own tools in the field of quick calculations.

Men of Mathematics


Eric Temple Bell - 1937
    Bell, a leading figure in mathematics in America for half a century. Men of Mathematics accessibly explains the major mathematics, from the geometry of the Greeks through Newton's calculus and on to the laws of probability, symbolic logic, and the fourth dimension. In addition, the book goes beyond pure mathematics to present a series of engrossing biographies of the great mathematicians -- an extraordinary number of whom lived bizarre or unusual lives. Finally, Men of Mathematics is also a history of ideas, tracing the majestic development of mathematical thought from ancient times to the twentieth century. This enduring work's clear, often humorous way of dealing with complex ideas makes it an ideal book for the non-mathematician.

Havana Tips and Tricks: Interesting Facts and Tips On Havana And Cuba (With Trinidad Bonus Section)


Mario Rizzi - 2014
    The information presented in this guide was taken from the book Real Havana: Explore Cuba Like A Local And Save Money. This book is available at most online book retailers. It offers a complete description of all the information presented below.In this mini-guide you will learn about:● Dozens of facts and tips on Cuban Culture and daily life.● Money saving tips on Cuban cuisine and dining.● Common restaurant scams in Havana.● Facts about buying alcohol, cigars and shopping in general.● Important tips on using taxis, public transportation and rental cars.● Info on biking in Havana● Booking a cheap apartment in Havana (casa particular)Plus, this updated 2016 edition includes a special Trinidad City Guide. Trinidad is one of the most beautiful towns in Cuba and one of the most popular excursion destinations for travelers. Learn how to explore this wonderful UNESCO World Heritage site for yourself, on your next trip to Cuba.BONUS: As a bonus, this mini-guide also includes the Top Ten Cuba Tip List! It’s packed with the most important information that any traveler must know about Cuba and Havana, in order to maximize their fun, save money and avoid any hassles.The Real Havana guide has all that information and much more. It has been described by industry professionals as being the #1 travel guide for information about Cuban culture. That’s why it is a bestseller and has been a trusted resource to over 200 000 travelers since 2010.About Full Compass GuidesFull Compass Guides are aimed at travelers who want to understand local customs and culture so that they can experience destinations like a local. Unlike regular tourist guides, Full Compass guides are not a list of attractions popular with tourists, and boring restaurant and hotel reviews that are obsolete the moment they are published. With our guides, you get succinct, useful information about the culture, people and geography of your destination so you have the tools and the confidence to explore on your own, experience everything that your destination has to offer, and save money.Our guides are written by experienced travelers who have intimate knowledge of both the location and the culture of the destination. They give you the exact information you need in order to make the most of your travel time. With a Full Compass guide, you will be a knowledgeable explorer, rather than just another flash-happy tourist.

The Art of Problem Solving Vol. 2: And Beyond


Sandor Leholzky - 2003
    The Art of Problem Solving, Volume 2, is the classic problem solving textbook used by many successful high school math teams and enrichment programs and have been an important building block for students who, like the authors, performed well enough on the American Mathematics Contest series to qualify for the Math Olympiad Summer Program which trains students for the United States International Math Olympiad team.Volume 2 is appropriate for students who have mastered the problem solving fundamentals presented in Volume 1 and are ready for a greater challenge. Although the Art of Problem Solving is widely used by students preparing for mathematics competitions, the book is not just a collection of tricks. The emphasis on learning and understanding methods rather than memorizing formulas enables students to solve large classes of problems beyond those presented in the book.Speaking of problems, the Art of Problem Solving, Volume 2, contains over 500 examples and exercises culled from such contests as the Mandelbrot Competition, the AMC tests, and ARML. Full solutions (not just answers!) are available for all the problems in the solution manual.

Prime Obsession: Bernhard Riemann and the Greatest Unsolved Problem in Mathematics


John Derbyshire - 2003
    Alternating passages of extraordinarily lucid mathematical exposition with chapters of elegantly composed biography and history, Prime Obsession is a fascinating and fluent account of an epic mathematical mystery that continues to challenge and excite the world.

Damaged Goods


Jenica Johnson - 2016
    After having her daughter at the tender age of 18, her father tried forcing her into marrying her high school sweetheart Ahmod. Ten years later Ahmod is not as sweet as he once was in high school. Shy is very close to her mother and sister but she keeps certain things from them to keep peace in her home and family life. With her father standards so high for his daughters she tends to just hide from the world until she feels that she is worthy enough to be a preacher’s kid. From her father’s rejection and the rejection of Ahmod, she finally finds the courage to leave him and run into the arms of another man. Ahmod wants his cake and eat it too. With two women in his pocket he feels like he would never get caught. When both of the women leave him, he becomes lost. Once Ahmod finds out Shy is fully done with him he tries his best to run back but is it too late? Ahmod doesn’t think so until it’s really too late.

100 RV Tips and Tricks (Mack's RV Handbook)


Malcom "Mack" Massey - 2014
    This BONUS editon offers extra tips to introduce this handbook series.

All-New Amazon Fire TV Stick User Guide - Newbie to Expert in 1 Hour!


Tom Edwards - 2014
     From the Number 1 Best Selling authors in Computers and Technology, this clear and concise guide will show you how to get the very best from your new Amazon Fire TV Streaming Stick Media Player. Step by step instructions will take you from newbie to expert in just one hour! About the Authors: Tom and Jenna Edwards are the Amazon Tech authors behind the Number 1 Best-selling e-books 250+ Best Kindle Fire HD Apps for the New Kindle Fire Owner and Kindle Fire HDX User Guide: Newbie to Expert in 2 Hours!

Mathematics for the Nonmathematician


Morris Kline - 1967
    But there is one other motive which is as strong as any of these — the search for beauty. Mathematics is an art, and as such affords the pleasures which all the arts afford." In this erudite, entertaining college-level text, Morris Kline, Professor Emeritus of Mathematics at New York University, provides the liberal arts student with a detailed treatment of mathematics in a cultural and historical context. The book can also act as a self-study vehicle for advanced high school students and laymen. Professor Kline begins with an overview, tracing the development of mathematics to the ancient Greeks, and following its evolution through the Middle Ages and the Renaissance to the present day. Subsequent chapters focus on specific subject areas, such as "Logic and Mathematics," "Number: The Fundamental Concept," "Parametric Equations and Curvilinear Motion," "The Differential Calculus," and "The Theory of Probability." Each of these sections offers a step-by-step explanation of concepts and then tests the student's understanding with exercises and problems. At the same time, these concepts are linked to pure and applied science, engineering, philosophy, the social sciences or even the arts.In one section, Professor Kline discusses non-Euclidean geometry, ranking it with evolution as one of the "two concepts which have most profoundly revolutionized our intellectual development since the nineteenth century." His lucid treatment of this difficult subject starts in the 1800s with the pioneering work of Gauss, Lobachevsky, Bolyai and Riemann, and moves forward to the theory of relativity, explaining the mathematical, scientific and philosophical aspects of this pivotal breakthrough. Mathematics for the Nonmathematician exemplifies Morris Kline's rare ability to simplify complex subjects for the nonspecialist.

The Mathematical Universe: An Alphabetical Journey Through the Great Proofs, Problems, and Personalities


William Dunham - 1994
    . .he believes these ideas to be accessible to the audience he wantsto reach, and he writes so that they are. -- NatureIf you want to encourage anyone's interest in math, get them TheMathematical Universe. * New Scientist

Building Thinking Classrooms in Mathematics, Grades K-12: 14 Teaching Practices for Enhancing Learning


Peter Liljedahl - 2020
     Building Thinking Classrooms in Mathematics, Grades K-12 helps teachers implement 14 optimal practices for thinking that create an ideal setting for deep mathematics learning to occur. This guideProvides the what, why, and how of each practice Includes firsthand accounts of how these practices foster thinking Offers a plethora of macro moves, micro moves, and rich tasks to get started