Book picks similar to
Mathematics: A Very Short Introduction by Timothy Gowers
mathematics
math
science
non-fiction
We Have No Idea: A Guide to the Unknown Universe
Jorge Cham - 2017
While they're at it, they helpfully demystify many complicated things we do know about, from quarks and neutrinos to gravitational waves and exploding black holes. With equal doses of humor and delight, they invite us to see the universe as a vast expanse of mostly uncharted territory that's still ours to explore.This entertaining illustrated science primer is the perfect book for anyone who's curious about all the big questions physicists are still trying to answer.
The Structure of Scientific Revolutions
Thomas S. Kuhn - 1962
The Structure of Scientific Revolutions is that kind of book. When it was first published in 1962, it was a landmark event in the history and philosophy of science. Fifty years later, it still has many lessons to teach. With The Structure of Scientific Revolutions, Kuhn challenged long-standing linear notions of scientific progress, arguing that transformative ideas don’t arise from the day-to-day, gradual process of experimentation and data accumulation but that the revolutions in science, those breakthrough moments that disrupt accepted thinking and offer unanticipated ideas, occur outside of “normal science,” as he called it. Though Kuhn was writing when physics ruled the sciences, his ideas on how scientific revolutions bring order to the anomalies that amass over time in research experiments are still instructive in our biotech age. This new edition of Kuhn’s essential work in the history of science includes an insightful introduction by Ian Hacking, which clarifies terms popularized by Kuhn, including paradigm and incommensurability, and applies Kuhn’s ideas to the science of today. Usefully keyed to the separate sections of the book, Hacking’s introduction provides important background information as well as a contemporary context. Newly designed, with an expanded index, this edition will be eagerly welcomed by the next generation of readers seeking to understand the history of our perspectives on science.
An Imaginary Tale: The Story of the Square Root of Minus One
Paul J. Nahin - 1998
Addressing readers with both a general and scholarly interest in mathematics, Nahin weaves into this narrative entertaining historical facts, mathematical discussions, and the application of complex numbers and functions to important problems.
How to Lie with Statistics
Darrell Huff - 1954
Darrell Huff runs the gamut of every popularly used type of statistic, probes such things as the sample study, the tabulation method, the interview technique, or the way the results are derived from the figures, and points up the countless number of dodges which are used to fool rather than to inform.
Intelligence: A Very Short Introduction
Ian J. Deary - 2001
Each chapter addresses a central scientific issue but does so in a way that is lively and completely accessible. Issues discussed include whether there are several different types of intelligence, whether intelligence differences are caused by genes or the environment, the biological basis of intelligence levels, and whether intelligence declines as we grow older. About the Series: Combining authority with wit, accessibility, and style, Very Short Introductions offer an introduction to some of life's most interesting topics. Written by experts for the newcomer, they demonstrate the finest contemporary thinking about the central problems and issues in hundreds of key topics, from philosophy to Freud, quantum theory to Islam.
Beauty
Roger Scruton - 2009
"It can be exhilarating, appealing, inspiring, chilling. It is never viewed with indifference: beauty demands to be noticed; it speaks to us directly like the voice of an intimate friend." In a book that is itself beautifully written, renowned philosopher Roger Scruton explores this timeless concept, asking what makes an object--either in art, in nature, or the human form--beautiful. This compact volume is filled with insight and Scruton has something interesting and original to say on almost every page. Can there be dangerous beauties, corrupting beauties, and immoral beauties? Perhaps so. The prose of Flaubert, the imagery of Baudelaire, the harmonies of Wagner, Scruton points out, have all been accused of immorality, by those who believe that they paint wickedness in alluring colors. Is it right to say there is more beauty in a classical temple than a concrete office block, more beauty in a Rembrandt than in an Andy Warhol Campbell Soup Can? Can we even say, of certain works of art, that they are too beautiful: that they ravish when they should disturb. But while we may argue about what is or is not beautiful, Scruton insists that beauty is a real and universal value, one anchored in our rational nature, and that the sense of beauty has an indispensable part to play in shaping the human world. Forthright and thought-provoking, and as accessible as it is stimulating, this fascinating meditation on beauty draws conclusions that some may find controversial, but, as Scruton shows, help us to find greater meaning in the beautiful objects that fill our lives.
Proofs from the Book, 3e
Martin Aigner - 1998
Inside PFTB (Proofs from The Book) is indeed a glimpse of mathematical heaven, where clever insights and beautiful ideas combine in astonishing and glorious ways. There is vast wealth within its pages, one gem after another. Some of the proofs are classics, but many are new and brilliant proofs of classical results. ...Aigner and Ziegler... write: ..". all we offer is the examples that we have selected, hoping that our readers will share our enthusiasm about brilliant ideas, clever insights and wonderful observations." I do. ... " Notices of the AMS, August 1999..". the style is clear and entertaining, the level is close to elementary ... and the proofs are brilliant. ..." LMS Newsletter, January 1999This third edition offers two new chapters, on partition identities, and on card shuffling. Three proofs of Euler's most famous infinite series appear in a separate chapter. There is also a number of other improvements, such as an exciting new way to "enumerate the rationals."
How to Bake Pi: An Edible Exploration of the Mathematics of Mathematics
Eugenia Cheng - 2015
Of course, it’s not all cooking; we’ll also run the New York and Chicago marathons, pay visits to Cinderella and Lewis Carroll, and even get to the bottom of a tomato’s identity as a vegetable. This is not the math of our high school classes: mathematics, Cheng shows us, is less about numbers and formulas and more about how we know, believe, and understand anything, including whether our brother took too much cake.At the heart of How to Bake Pi is Cheng’s work on category theory—a cutting-edge “mathematics of mathematics.” Cheng combines her theory work with her enthusiasm for cooking both to shed new light on the fundamentals of mathematics and to give readers a tour of a vast territory no popular book on math has explored before. Lively, funny, and clear, How to Bake Pi will dazzle the initiated while amusing and enlightening even the most hardened math-phobe.
The Demon-Haunted World: Science as a Candle in the Dark
Carl Sagan - 1996
And yet, disturbingly, in today's so-called information age, pseudoscience is burgeoning with stories of alien abduction, channeling past lives, and communal hallucinations commanding growing attention and respect. As Sagan demonstrates with lucid eloquence, the siren song of unreason is not just a cultural wrong turn but a dangerous plunge into darkness that threatens our most basic freedoms.
The Pea and the Sun: A Mathematical Paradox
Leonard M. Wapner - 2005
Would you believe that these five pieces can be reassembled in such a fashion so as to create two apples equal in shape and size to the original? Would you believe that you could make something as large as the sun by breaking a pea into a finite number of pieces and putting it back together again? Neither did Leonard Wapner, author of The Pea and the Sun, when he was first introduced to the Banach-Tarski paradox, which asserts exactly such a notion. Written in an engaging style, The Pea and the Sun catalogues the people, events, and mathematics that contributed to the discovery of Banach and Tarski's magical paradox. Wapner makes one of the most interesting problems of advanced mathematics accessible to the non-mathematician.
The History of Mathematics: A Very Short Introduction
Jacqueline A. Stedall - 2012
Historian Jacqueline Stedall shows that mathematical ideas are far from being fixed, but are adapted and changed by their passage across periods and cultures. The book illuminates some of the varied contexts in which people have learned, used, and handed on mathematics, drawing on fascinating case studies from a range of times and places, including early imperial China, the medieval Islamic world, and nineteenth-century Britain. By drawing out some common threads, Stedall provides an introduction not only to the mathematics of the past but to the history of mathematics as a modern academic discipline.
Heidegger: A Very Short Introduction
Michael J. Inwood - 1997
Michael Inwood's lucid introduction to Heidegger's thought focuses on his most important work, Being and Time, and its major themes of existence in the world, inauthenticity, guilt, destiny, truth, and the nature of time. These themes are then reassessed in the light of Heidegger's later work, together with the extent of his philosophical importance and influence. This is an invaluable guide to the complex and voluminous thought of a major twentieth-century existentialist philosopher.About the Series: Combining authority with wit, accessibility, and style, Very Short Introductions offer an introduction to some of life's most interesting topics. Written by experts for the newcomer, they demonstrate the finest contemporary thinking about the central problems and issues in hundreds of key topics, from philosophy to Freud, quantum theory to Islam
Photography: A Very Short Introduction
Steve Edwards - 2006
In this thought-provoking exploration of the subject, Steve Edwards provides a clear, lively, and imaginative approach to the definition, importance, and meaning of photography. He combines a sense of its historical development with an analysis of its purpose and meaning within a wider cultural context. Edwards also discusses both well-known and more unusual photos, from the highly controversial Cottingley Fairies to Ansel Adams landscapes, and from the shocking and influential Eddie Adams image of a Vietcong suspect being executed to the portrait/performance art work of Cindy Sherman. Edwards interrogates the way we look and think about photographs, and considers such issues as truth and recording, objectivity and fine art, identity and memory.About the Series: Combining authority with wit, accessibility, and style, Very Short Introductions offer an introduction to some of life's most interesting topics. Written by experts for the newcomer, they demonstrate the finest contemporary thinking about the central problems and issues in hundreds of key topics, from philosophy to Freud, quantum theory to Islam.
How to Read a Book: The Classic Guide to Intelligent Reading
Mortimer J. Adler - 1940
It is the best and most successful guide to reading comprehension for the general reader. And now it has been completely rewritten and updated. You are told about the various levels of reading and how to achieve them – from elementary reading, through systematic skimming and inspectional reading, to speed reading, you learn how to pigeonhole a book, X-ray it, extract the author's message, criticize. You are taught the different reading techniques for reading practical books, imaginative literature, plays, poetry, history, science and mathematics, philosophy and social science. Finally, the authors offer a recommended reading list and supply reading tests whereby you can measure your own progress in reading skills, comprehension and speed.This a previously-published edition of ISBN 9780671212094
50 Mathematical Ideas You Really Need to Know
Tony Crilly - 2007
Who invented zero? Why are there 60 seconds in a minute? Can a butterfly's wings really cause a storm on the far side of the world? In 50 concise essays, Professor Tony Crilly explains the mathematical concepts that allow use to understand and shape the world around us.