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.

Family Math


Jean Kerr Stenmark - 1986
    Using easy instructions and simple objects such as beans, blocks, pennies, buttons, and string, parents and kids solve problems together. FAMILY MATH is a rich resource of math curriculum including number and estimation, logical thinking, probability and statistics, geometry, measurement, and calculators. The stimulating games, puzzles, and projects entice kids in playful ways to master math concepts. Because this book reinforces the basic school curriculum, it is also a must for teachers. The book has a step-by-step description of how to organize a FAMILY MATH class in your community. For families with children five to twelve years old. Grades K-8. 318 pp

Guesstimation: Solving the World's Problems on the Back of a Cocktail Napkin


Lawrence Weinstein - 2008
    More and more leading businesses today use estimation questions in interviews to test applicants' abilities to think on their feet. Guesstimation enables anyone with basic math and science skills to estimate virtually anything--quickly--using plausible assumptions and elementary arithmetic.Lawrence Weinstein and John Adam present an eclectic array of estimation problems that range from devilishly simple to quite sophisticated and from serious real-world concerns to downright silly ones. How long would it take a running faucet to fill the inverted dome of the Capitol? What is the total length of all the pickles consumed in the US in one year? What are the relative merits of internal-combustion and electric cars, of coal and nuclear energy? The problems are marvelously diverse, yet the skills to solve them are the same. The authors show how easy it is to derive useful ballpark estimates by breaking complex problems into simpler, more manageable ones--and how there can be many paths to the right answer. The book is written in a question-and-answer format with lots of hints along the way. It includes a handy appendix summarizing the few formulas and basic science concepts needed, and its small size and French-fold design make it conveniently portable. Illustrated with humorous pen-and-ink sketches, Guesstimation will delight popular-math enthusiasts and is ideal for the classroom.

How Numbers Work: Discover the Strange and Beautiful World of Mathematics (New Scientist Instant Expert)


New Scientist - 2018
    No, hang on, let's make this interesting. Between zero and infinity. Even if you stick to the whole numbers, there are a lot to choose from - an infinite number in fact. Throw in decimal fractions and infinity suddenly gets an awful lot bigger (is that even possible?) And then there are the negative numbers, the imaginary numbers, the irrational numbers like pi which never end. It literally never ends.The world of numbers is indeed strange and beautiful. Among its inhabitants are some really notable characters - pi, e, the "imaginary" number i and the famous golden ratio to name just a few. Prime numbers occupy a special status. Zero is very odd indeed: is it a number, or isn't it?How Numbers Work takes a tour of this mind-blowing but beautiful realm of numbers and the mathematical rules that connect them. Not only that, but take a crash course on the biggest unsolved problems that keep mathematicians up at night, find out about the strange and unexpected ways mathematics influences our everyday lives, and discover the incredible connection between numbers and reality itself. ABOUT THE SERIESNew Scientist Instant Expert books are definitive and accessible entry points to the most important subjects in science; subjects that challenge, attract debate, invite controversy and engage the most enquiring minds. Designed for curious readers who want to know how things work and why, the Instant Expert series explores the topics that really matter and their impact on individuals, society, and the planet, translating the scientific complexities around us into language that's open to everyone, and putting new ideas and discoveries into perspective and context.

The Sandman: King of Dreams


Alisa Kwitney - 2003
    Author Alisa Kwitney explores its beginnings and chronicles the comic's emergence as a unique and undeniable force in the literary world. Richly illustrated, this history shows how Gaiman and The Sandman's gifted artists, such as Dave McKean and Yoshitaka Amano, create a haunting (and haunted) main character who wields immense power. With illustrations never before published, behind-the-scenes stories, handwritten notes, and interviews with Gaiman himself, this volume is a true testament to the dream king and his creator.

The Road to Reality: A Complete Guide to the Laws of the Universe


Roger Penrose - 2004
    From the very first attempts by the Greeks to grapple with the complexities of our known world to the latest application of infinity in physics, The Road to Reality carefully explores the movement of the smallest atomic particles and reaches into the vastness of intergalactic space. Here, Penrose examines the mathematical foundations of the physical universe, exposing the underlying beauty of physics and giving us one the most important works in modern science writing.

The Seven Pillars of Statistical Wisdom


Stephen M. Stigler - 2016
    It allows one to gain information by discarding information, namely, the individuality of the observations. Stigler s second pillar, information measurement, challenges the importance of big data by noting that observations are not all equally important: the amount of information in a data set is often proportional to only the square root of the number of observations, not the absolute number. The third idea is likelihood, the calibration of inferences with the use of probability. Intercomparison is the principle that statistical comparisons do not need to be made with respect to an external standard. The fifth pillar is regression, both a paradox (tall parents on average produce shorter children; tall children on average have shorter parents) and the basis of inference, including Bayesian inference and causal reasoning. The sixth concept captures the importance of experimental design for example, by recognizing the gains to be had from a combinatorial approach with rigorous randomization. The seventh idea is the residual the notion that a complicated phenomenon can be simplified by subtracting the effect of known causes, leaving a residual phenomenon that can be explained more easily.The Seven Pillars of Statistical Wisdom presents an original, unified account of statistical science that will fascinate the interested layperson and engage the professional statistician."

Learn You a Haskell for Great Good!


Miran Lipovača - 2011
    Learn You a Haskell for Great Good! introduces programmers familiar with imperative languages (such as C++, Java, or Python) to the unique aspects of functional programming. Packed with jokes, pop culture references, and the author's own hilarious artwork, Learn You a Haskell for Great Good! eases the learning curve of this complex language, and is a perfect starting point for any programmer looking to expand his or her horizons. The well-known web tutorial on which this book is based is widely regarded as the best way for beginners to learn Haskell, and receives over 30,000 unique visitors monthly.

Buddha, Vol. 1: Kapilavastu


Osamu Tezuka - 1972
    Tezuka evidences his profound grasp of the subject by contextualizing the Buddha’s ideas; the emphasis is on movement, action, emotion, and conflict as the prince Siddhartha runs away from home, travels across India, and questions Hindu practices such as ascetic self-mutilation and caste oppression. Rather than recommend resignation and impassivity, Tezuka’s Buddha predicates enlightenment upon recognizing the interconnectedness of life, having compassion for the suffering, and ordering one’s life sensibly. Philosophical segments are threaded into interpersonal situations with ground-breaking visual dynamism by an artist who makes sure never to lose his readers’ attention.Tezuka himself was a humanist rather than a Buddhist, and his magnum opus is not an attempt at propaganda. Hermann Hesse’s novel or Bertolucci’s film is comparable in this regard; in fact, Tezuka’s approach is slightly irreverent in that it incorporates something that Western commentators often eschew, namely, humor.

Student Solutions Manual, Vol. 1 for Swokowski's Calculus: The Classic Edition


Earl W. Swokowski - 1991
    Prepare for exams and succeed in your mathematics course with this comprehensive solutions manual! Featuring worked out-solutions to the problems in CALCULUS: THE CLASSIC EDITION, 5th Edition, this manual shows you how to approach and solve problems using the same step-by-step explanations found in your textbook examples.

The Quitter


Harvey Pekar - 2005
    . . .performs with virtuoso flair in THE QUITTER"--THE NEW YORKER"Brutally honest."--ROLLING STONE★"A searingly honest memoir. . . . Pekar's work dignifies the struggle of the average man."--PUBLISHERS WEEKLY, starred In this virtuoso graphic novel, Harvey Pekar -- whose American Book Award-winning series American Splendor was the basis for the celebrated film of the same name -- tells the story of his troubled teen years for the first time, when he would beat up any kid who looked at him wrong just to win the praise of his peers. And when he failed to impress, whether on the football team, in math class, in the Navy or on the job, he simply gave up. A true tour-de-force, THE QUITTER is the universal tale of a young man's search for himself through the frustrations, redemptions and complexities of ordinary life.With gritty, atmospheric artwork by indie-comics luminary Dean Haspiel (American Splendor, Opposable Thumbs), THE QUITTER is both Pekar's funniest and most heart-wrenching work yet, an unforgettable graphic novel for all those, like Pekar, who have tried, failed and lived to quit another day.

How to Count to Infinity


Marcus du Sautoy - 2020
    But this book will help you to do something that humans have only recently understood how to do: to count to regions that no animal has ever reached. By the end of this book you'll be able to count to infinity... and beyond. On our way to infinity we'll discover how the ancient Babylonians used their bodies to count to 60 (which gave us 60 minutes in the hour), how the number zero was only discovered in the 7th century by Indian mathematicians contemplating the void, why in China going into the red meant your numbers had gone negative and why numbers might be our best language for communicating with alien life.But for millennia, contemplating infinity has sent even the greatest minds into a spin. Then at the end of the nineteenth century mathematicians discovered a way to think about infinity that revealed that it is a number that we can count. Not only that. They found that there are an infinite number of infinities, some bigger than others. Just using the finite neurons in your brain and the finite pages in this book, you'll have your mind blown discovering the secret of how to count to infinity.Do something amazing and learn a new skill thanks to the Little Ways to Live a Big Life books!

How to Solve It: A New Aspect of Mathematical Method


George Pólya - 1944
    Polya, How to Solve It will show anyone in any field how to think straight. In lucid and appealing prose, Polya reveals how the mathematical method of demonstrating a proof or finding an unknown can be of help in attacking any problem that can be reasoned out--from building a bridge to winning a game of anagrams. Generations of readers have relished Polya's deft--indeed, brilliant--instructions on stripping away irrelevancies and going straight to the heart of the problem.

Dr. Seuss Goes to War: The World War II Editorial Cartoons of Theodor Seuss Geisel


Richard H. Minear - 1999
    Seuss was drawing biting cartoons for adults that expressed his fierce opposition to anti-Semitism and fascism. An editorial cartoonist from 1941 to 1943 for PM magazine, a left-wing daily New York newspaper, Dr. Seuss launched a battle against dictatorial rule abroad and America First (an isolationist organization that argued against U.S. entry into World War II) with more than 400 cartoons urging the United States to fight against Adolf Hitler and his cohorts in fascism, Benito Mussolini, Pierre Laval, and Japan (he never depicted General Tojo Hideki, the wartime prime minister, or Togo Shigenori, the foreign minister). Dr. Seuss Goes to War, by Richard H. Minear, includes 200 of these cartoons, demonstrating the active role Dr. Seuss played in shaping and reflecting how America responded to World War II as events unfolded.As one of America's leading historians of Japan during World War II, Minear also offers insightful commentary on the historical and political significance of this immense body of work that, until now, has not been seriously considered as part of Dr. Seuss's extraordinary legacy.Born to a German-American family in Springfield, Massachusetts, in 1904, Theodor Geisel began his cartooning career at Dartmouth College, where he contributed to the humor magazine. After a run-in with college authorities for bootlegging liquor, he had to use a pseudonym to get his work published, choosing his middle name, Seuss, and adding "Dr." several years later when he dropped out of graduate school at Oxford University in England. He had never planned on setting poison political pen to paper until he realized his deep hatred of Italian fascism. The first editorial cartoon he drew depicts the editor of the fascist paper Il Giornale d'Italia wearing a fez (part of Italy's fascist uniform) and banging away at a giant steam typewriter while a winged Mussolini holds up the free end of the banner of paper emerging from the roll. He submitted it to a friend at PM, an outspoken political magazine that was "against people who push other people around," and began his two-year career with the magazine before joining the U.S. Army as a documentary filmmaker in 1943.Dr. Seuss's first caricature of Hitler appears in the May 1941 cartoon, "The head eats, the rest gets milked," portraying the dictator as the proprietor of "Consolidated World Dairy," merging 11 conquered nations into one cow. Hitler went on to become one of the main caricatures in Seuss's work for the next two years, depicted alone, among his generals and other Germans, and with his allies Benito Mussolini and Pierre Laval. He is also drawn alongside "Japan," which Dr. Seuss portrays quite offensively, with slanted, bespectacled eyes and a sneering grin. While Dr. Seuss was outspoken against antiblack racism in the United States, he held a virulent disdain for the Japanese and rendered sinister and, at times, slanderous caricatures of their wartime actions even before the bombing of Pearl Harbor. But Dr. Seuss's aggression wasn't solely reserved for the fascists abroad. He was also loudly critical of America's initial apathy toward the war, skewering isolationists like America First advocate Charles Lindbergh, the Chicago Tribune's Colonel Robert McCormick, Eleanor Medill Patterson of the Washington Times-Herald, and Joseph Patterson of the New York Daily News, whom he considered as evil as Hitler. He encouraged Americans to buy war savings bonds and stamps and to do everything they could to ensure victory over fascism.Minear provides historical background in Dr. Seuss Goes to War that not only serves to contextualize these cartoons but also deftly explains the highly problematic anti-Japanese and anticommunist stances held by both Dr. Seuss and PM magazine, which contradicted the leftist sentiments to which they both eagerly adhered. As Minear notes, Dr. Seuss eventually softened his feelings toward communism as Russia and the United States were united on the Allied front, but his stereotypical portrayals of Japanese and Japanese-Americans grew increasingly and undeniably racist as the war raged on, reflecting the troubling public opinion of American citizens. Minear does not attempt to ignore or redeem Dr. Seuss's hypocrisy; rather, he shows how these cartoons evoke the mood and the issues of the era. After Dr. Seuss left PM magazine, he never drew another editorial cartoon, though we find in these cartoons the genesis of his later characters Yertle the dictating turtle and the Cat in the Hat, who bears a striking resemblance to Uncle Sam. Dr. Seuss Goes to War is an astonishing collection of work that many of his devoted fans have not been able to see until now. But this book is also a comprehensive, thoughtfully researched, and exciting history lesson of the Second World War, by a writer who loves Dr. Seuss as much as those who grow up with his books do.

Barefoot Gen, Volume One: A Cartoon Story of Hiroshima


Keiji Nakazawa - 1973
    New and unabridged, this is an all-new translation of the author's first-person experiences of Hiroshima and its aftermath, is a reminder of the suffering war brings to innocent people. Its emotions and experiences speak to children and adults everywhere. Volume one of this ten-part series details the events leading up to and immediately following the atomic bombing of Hiroshima.