Book picks similar to
The History of the Calculus and Its Conceptual Development by Carl B. Boyer
math
mathematics
history
calculus
A Little Book of Language
David Crystal - 2010
In this charming volume, a narrative history written explicitly for a young audience, expert linguist David Crystal proves why the story of language deserves retelling.From the first words of an infant to the peculiar modern dialect of text messaging, A Little Book of Language ranges widely, revealing language’s myriad intricacies and quirks. In animated fashion, Crystal sheds light on the development of unique linguistic styles, the origins of obscure accents, and the search for the first written word. He discusses the plight of endangered languages, as well as successful cases of linguistic revitalization. Much more than a history, Crystal’s work looks forward to the future of language, exploring the effect of technology on our day-to-day reading, writing, and speech. Through enlightening tables, diagrams, and quizzes, as well as Crystal’s avuncular and entertaining style, A Little Book of Language will reveal the story of language to be a captivating tale for all ages.
How to Study for a Mathematics Degree
Lara Alcock - 2012
Many of these students are extremely intelligent and hardworking, but even the best will, at some point, struggle with the demands of making the transition to advanced mathematics. Some have difficulty adjusting to independent study and to learning from lectures. Other struggles, however, are more fundamental: the mathematics shifts in focus from calculation to proof, so students are expected to interact with it in different ways. These changes need not be mysterious - mathematics education research has revealed many insights into the adjustments that are necessary - but they are not obvious and they do need explaining.This no-nonsense book translates these research-based insights into practical advice for a student audience. It covers every aspect of studying for a mathematics degree, from the most abstract intellectual challenges to the everyday business of interacting with lecturers and making good use of study time. Part 1 provides an in-depth discussion of advanced mathematical thinking, and explains how a student will need to adapt and extend their existing skills in order to develop a good understanding of undergraduate mathematics. Part 2 covers study skills as these relate to the demands of a mathematics degree. It suggests practical approaches to learning from lectures and to studying for examinations while also allowing time for a fulfilling all-round university experience.The first subject-specific guide for students, this friendly, practical text will be essential reading for anyone studying mathematics at university.
Mathematics and the Imagination
Edward Kasner - 1940
But your pleasure and prowess at games, gambling, and other numerically related pursuits can be heightened with this entertaining volume, in which the authors offer a fascinating view of some of the lesser-known and more imaginative aspects of mathematics.A brief and breezy explanation of the new language of mathematics precedes a smorgasbord of such thought-provoking subjects as the googolplex (the largest definite number anyone has yet bothered to conceive of); assorted geometries — plane and fancy; famous puzzles that made mathematical history; and tantalizing paradoxes. Gamblers receive fair warning on the laws of chance; a look at rubber-sheet geometry twists circles into loops without sacrificing certain important properties; and an exploration of the mathematics of change and growth shows how calculus, among its other uses, helps trace the path of falling bombs.Written with wit and clarity for the intelligent reader who has taken high school and perhaps college math, this volume deftly progresses from simple arithmetic to calculus and non-Euclidean geometry. It “lives up to its title in every way [and] might well have been merely terrifying, whereas it proves to be both charming and exciting." — Saturday Review of Literature.
Delusions of Gender: How Our Minds, Society, and Neurosexism Create Difference
Cordelia Fine - 2005
Even though the glass ceiling is cracked, most women stay comfortably beneath it, and everywhere we hear about vitally important “hardwired” differences between male and female brains. The neuroscience we read about in magazines, newspaper articles, books, and sometimes even scientific journals increasingly tells a tale of two brains, and the result is more often than not a validation of the status quo. Women, it seems, are just too intuitive for math, men too focused for housework.Drawing on the latest research in neuroscience and psychology, Cordelia Fine debunks the myth of hardwired differences between men’s and women’s brains, unraveling the evidence behind such claims as men’s brains aren’t wired for empathy, and women’s brains aren’t made to fix cars. She then goes one step further, offering a very different explanation of the dissimilarities between men’s and women’s behavior. Instead of a “male brain” and a “female brain,” Fine gives us a glimpse of plastic, mutable minds that are continuously influenced by cultural assumptions about gender.Delusions of Gender provides us with a much-needed corrective to the belief that men’s and women’s brains are intrinsically different--a belief that, as Fine shows with insight and humor--all too often works to the detriment of ourselves and our society.
Hyperspace: A Scientific Odyssey Through Parallel Universes, Time Warps, and the Tenth Dimension
Michio Kaku - 1994
Indeed, many physicists today believe that there are other dimensions beyond the four of our space-time, and that a unified vision of the various forces of nature can be achieved, if we consider that everything we see around us, from the trees to the stars are nothing but vibrations in hyperspace. Hyperspace theory - and its more recent derivation, superstring theory - is the eye of this revolution. In this book, Michio Kaku shows us a fascinating panorama, which completely changes our view of the cosmos, and takes us on a dazzling journey through new dimensions: wormholes connecting parallel universes, time machines, "baby universes" and more. Similar wonders are emerging in some pages in which everything is explained with elegant simplicity and where the mathematical formulation is replaced by imaginative illustrations that allow the problems to be visualized. The result is a very entertaining and surprising book, which even leaves behind the greatest fantasies of the old science fiction authors.
NurtureShock: New Thinking About Children
Po Bronson - 2008
In a world of modern, involved, caring parents, why are so many kids aggressive and cruel? Where is intelligence hidden in the brain, and why does that matter? Why do cross-racial friendships decrease in schools that are more integrated? If 98% of kids think lying is morally wrong, then why do 98% of kids lie? What's the single most important thing that helps infants learn language?NurtureShock is a groundbreaking collaboration between award-winning science journalists Po Bronson and Ashley Merryman. They argue that when it comes to children, we've mistaken good intentions for good ideas. With impeccable storytelling and razor-sharp analysis, they demonstrate that many of modern society's strategies for nurturing children are in fact backfiring--because key twists in the science have been overlooked.Nothing like a parenting manual, the authors' work is an insightful exploration of themes and issues that transcend children's (and adults') lives.
Introduction to Electrodynamics
David J. Griffiths - 1981
This work offers accesible coverage of the fundamentals of electrodynamics, enhanced with with discussion points, examples and exercises.
Div, Grad, Curl, and All That: An Informal Text on Vector Calculus
Harry M. Schey - 1973
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.
You Are Not So Smart: Why You Have Too Many Friends on Facebook, Why Your Memory Is Mostly Fiction, and 46 Other Ways You're Deluding Yourself
David McRaney - 2011
Whether you’re deciding which smart phone to purchase or which politician to believe, you think you are a rational being whose every decision is based on cool, detached logic, but here’s the truth: You are not so smart. You’re just as deluded as the rest of us--but that’s okay, because being deluded is part of being human. Growing out of David McRaney’s popular blog, You Are Not So Smart reveals that every decision we make, every thought we contemplate, and every emotion we feel comes with a story we tell ourselves to explain them, but often these stories aren’t true. Each short chapter--covering topics such as Learned Helplessness, Selling Out, and the Illusion of Transparency--is like a psychology course with all the boring parts taken out.Bringing together popular science and psychology with humor and wit, You Are Not So Smart is a celebration of our irrational, thoroughly human behavior.
The Mathematical Theory of Communication
Claude Shannon - 1949
Republished in book form shortly thereafter, it has since gone through four hardcover and sixteen paperback printings. It is a revolutionary work, astounding in its foresight and contemporaneity. The University of Illinois Press is pleased and honored to issue this commemorative reprinting of a classic.
The Lucifer Effect: Understanding How Good People Turn Evil
Philip G. Zimbardo - 2007
Here, for the first time and in detail, Zimbardo tells the full story of the Stanford Prison Experiment, the landmark study in which a group of college-student volunteers was randomly divided into “guards” and “inmates” and then placed in a mock prison environment. Within a week, the study was abandoned, as ordinary college students were transformed into either brutal, sadistic guards or emotionally broken prisoners. By illuminating the psychological causes behind such disturbing metamorphoses, Zimbardo enables us to better understand a variety of harrowing phenomena, from corporate malfeasance to organized genocide to how once upstanding American soldiers came to abuse and torture Iraqi detainees in Abu Ghraib. He replaces the long-held notion of the “bad apple” with that of the “bad barrel”—the idea that the social setting and the system contaminate the individual, rather than the other way around.
Godel: A Life Of Logic, The Mind, And Mathematics
John L. Casti - 2000
His Incompleteness Theorem turned not only mathematics but also the whole world of science and philosophy on its head. Equally legendary were Gö's eccentricities, his close friendship with Albert Einstein, and his paranoid fear of germs that eventually led to his death from self-starvation. Now, in the first popular biography of this strange and brilliant thinker, John Casti and Werner DePauli bring the legend to life. After describing his childhood in the Moravian capital of Brno, the authors trace the arc of Gö's remarkable career, from the famed Vienna Circle, where philosophers and scientists debated notions of truth, to the Institute for Advanced Study in Princeton, New Jersey, where he lived and worked until his death in 1978. In the process, they shed light on Gö's contributions to mathematics, philosophy, computer science, artificial intelligence -- even cosmology -- in an entertaining and accessible way.
Atlas Obscura: An Explorer's Guide to the World's Hidden Wonders
Joshua Foer - 2016
Architectural marvels, including the M.C. Escher-like stepwells in India. Mind-boggling events, like the Baby Jumping Festival in Spain, where men dressed as devils literally vault over rows of squirming infants. Not to mention the Great Stalacpipe Organ in Virginia, Turkmenistan’s 45-year hole of fire called the Door of Hell, coffins hanging off a side of a cliff in the Philippines, eccentric bone museums in Italy, or a weather-forecasting invention that was powered by leeches, still on display in Devon, England.Atlas Obscura revels in the weird, the unexpected, the overlooked, the hidden, and the mysterious. Every page expands our sense of how strange and marvelous the world really is. And with its compelling descriptions, hundreds of photographs, surprising charts, maps for every region of the world, it is a book you can open anywhere.
A Short History of Nearly Everything
Bill Bryson - 2003
Taking as territory everything from the Big Bang to the rise of civilization, Bryson seeks to understand how we got from there being nothing at all to there being us. To that end, he has attached himself to a host of the world’s most advanced (and often obsessed) archaeologists, anthropologists, and mathematicians, travelling to their offices, laboratories, and field camps. He has read (or tried to read) their books, pestered them with questions, apprenticed himself to their powerful minds. A Short History of Nearly Everything is the record of this quest, and it is a sometimes profound, sometimes funny, and always supremely clear and entertaining adventure in the realms of human knowledge, as only Bill Bryson can render it. Science has never been more involving or entertaining.
Is That a Fish in Your Ear? Translation and the Meaning of Everything
David Bellos - 2011
Using translation as his lens, David Bellos shows how much we can learn about ourselves by exploring the ways we use translation, from the historical roots of written language to the stylistic choices of Ingmar Bergman, from the United Nations General Assembly to the significance of James Cameron's Avatar.Is That a Fish in Your Ear? ranges across human experience to describe why translation sits deep within us all, and why we need it in so many situations, from the spread of religion to our appreciation of literature; indeed, Bellos claims that all writers are by definition translators. Written with joie de vivre, reveling both in misunderstanding and communication, littered with wonderful asides, it promises any reader new eyes through which to understand the world. In the words of Bellos: "The practice of translation rests on two presuppositions. The first is that we are all different: we speak different tongues, and see the world in ways that are deeply influenced by the particular features of the tongue that we speak. The second is that we are all the same—that we can share the same broad and narrow kinds of feelings, information, understandings, and so forth. Without both of these suppositions, translation could not exist. Nor could anything we would like to call social life. Translation is another name for the human condition."