Mathematics


Keith Devlin - 1988
    A modern classic by an accomplished mathematician and best-selling author has been updated to encompass and explain the recent headline-making advances in the field in non-technical terms.

Unknown Quantity: A Real and Imaginary History of Algebra


John Derbyshire - 2006
    As he did so masterfully in Prime Obsession, Derbyshire brings the evolution of mathematical thinking to dramatic life by focusing on the key historical players. Unknown Quantity begins in the time of Abraham and Isaac and moves from Abel's proof to the higher levels of abstraction developed by Galois through modern-day advances. Derbyshire explains how a simple turn of thought from this plus this equals this to this plus what equals this? gave birth to a whole new way of perceiving the world. With a historian's narrative authority and a beloved teacher's clarity and passion, Derbyshire leads readers on an intellectually satisfying and pleasantly challenging historical and mathematical journey.

A Mathematician's Lament


Paul Lockhart
    He proposes his solution.

The Artist and the Mathematician: The Story of Nicolas Bourbaki, the Genius Mathematician Who Never Existed


Amir D. Aczel - 2006
    Pure mathematics, the area of Bourbaki's work, seems on the surface to be an abstract field of human study with no direct connection with the real world. In reality, however, it is closely intertwined with the general culture that surrounds it. Major developments in mathematics have often followed important trends in popular culture; developments in mathematics have acted as harbingers of change in the surrounding human culture. The seeds of change, the beginnings of the revolution that swept the Western world in the early decades of the twentieth century — both in mathematics and in other areas — were sown late in the previous century. This is the story both of Bourbaki and the world that created him in that time. It is the story of an elaborate intellectual joke — because Bourbaki, one of the foremost mathematicians of his day — never existed.

Maths in Minutes: 200 Key Concepts Explained in an Instant


Paul Glendinning - 2012
    Each concept is quick and easy to remember, described by means of an easy-to-understand picture and a maximum 200-word explanation. Concepts span all of the key areas of mathematics, including Fundamentals of Mathematics, Sets and Numbers, Geometry, Equations, Limits, Functions and Calculus, Vectors and Algebra, Complex Numbers, Combinatorics, Number Theory, Metrics and Measures and Topology. Incredibly quick - clear artworks and simple explanations that can be easily remembered. Based on scientific research that the brain best absorbs information visually. Compact and portable format - the ideal, handy reference.

Shape: The Hidden Geometry of Information, Biology, Strategy, Democracy, and Everything Else


Jordan Ellenberg - 2021
    For real.If you're like most people, geometry is a sterile and dimly remembered exercise you gladly left behind in the dust of ninth grade, along with your braces and active romantic interest in pop singers. If you recall any of it, it's plodding through a series of miniscule steps only to prove some fact about triangles that was obvious to you in the first place. That's not geometry. Okay, it is geometry, but only a tiny part, which has as much to do with geometry in all its flush modern richness as conjugating a verb has to do with a great novel.Shape reveals the geometry underneath some of the most important scientific, political, and philosophical problems we face. Geometry asks: Where are things? Which things are near each other? How can you get from one thing to another thing? Those are important questions. The word "geometry," from the Greek for "measuring the world." If anything, that's an undersell. Geometry doesn't just measure the world—it explains it. Shape shows us how.

Fuzzy Logic: The Revolutionary Computer Technology That Is Changing Our World


Daniel McNeill - 1993
    Professor Lofti Zadeh masterminded "fuzzy logic"--a way of programming computers to "make decisions" bases on imprecise data and complex situations. In "Fuzzy Logic," Daniel McNeill and Paul Freiberger relate the compelling tale of this remarkable new technology, the genius who brought it to life, and how it will soon affect the lives of every one of us.

The Real Fidel Castro


Leycester Coltman - 1990
    This insightful book, the most intimate and dispassionate biography of the revolutionary leader to date, shows that neither assessment is true.Leycester Coltman, British ambassador to Cuba in the early 1990s, came as close to personal friendship with Castro as any foreigner was permitted. With frequent contact and regular conversations, Coltman was in a unique position to observe the dictator’s personality in both public and private situations. Here he presents a close-up view of the man who for half a century has been loved, admired, feared, and hated, but seldom really understood.Coltman chronicles the events of the Cuban leader’s extraordinary life from the political activism of his university days in Havana to periods of exile, imprisonment, and guerilla warfare alongside Che Guevara, to the uncertainties of his old age. Drawing on personal observation and archival sources in Cuba and abroad, Coltman explores the contradiction between the private character and the public reputation, and highlights the complexities of the consummate actor who continues to play a crucial role on the international stage.

Journey through Genius: The Great Theorems of Mathematics


William Dunham - 1990
    Now William Dunham gives them the attention they deserve.Dunham places each theorem within its historical context and explores the very human and often turbulent life of the creator — from Archimedes, the absentminded theoretician whose absorption in his work often precluded eating or bathing, to Gerolamo Cardano, the sixteenth-century mathematician whose accomplishments flourished despite a bizarre array of misadventures, to the paranoid genius of modern times, Georg Cantor. He also provides step-by-step proofs for the theorems, each easily accessible to readers with no more than a knowledge of high school mathematics.A rare combination of the historical, biographical, and mathematical, Journey Through Genius is a fascinating introduction to a neglected field of human creativity.

Secrets of the Great Pyramid: Two Thousand Years of Adventures & Discoveries Surrounding the Mysteries of the Great Pyramid of Cheops


Peter Tompkins - 1971
    Probes the mystery of the construction and significance of the Great Pyramid of Cheops, suggesting that it enshrines the scientific data of an advanced Egyptian civilization.

The Prince of Mathematics: Carl Friedrich Gauss


M.B.W. Tent - 2006
    - predicted the reappearance of a lost planet, - discovered basic properties of magnetic forces, - invented a surveying tool used by professionals until the invention of lasers. Based on extensive research of original and secondary sources, this historical narrative will inspire young readers and even curious adults with its touching story of personal achievement.

How to Stage a Military Coup: From Planning to Execution


David Hebditch - 2005
    David Hebditch and Ken Connor examine, with a critical eye, successful as well as failed coup attempts throughout the twentieth century with the aim of showing their readers just what it takes to swiftly and soundly overthrow a government. Exploring coups from Nigeria, to Cuba, to Iraq, and with true stories of SAS combat written by Ken Connor, the book gives an insightful glimpse into this violent and rarely-seen world of shifting power.How to Stage a Military Coup is a unique textbook for the armchair revolutionary, as well as a practical guide for the idealist with a soft spot for the sound of artillery fire. From evaluation of the political climate and investigation of potential allies, to recruiting and training personnel, to strategies for ensuring timely transfer of power, the book leaves no aspect of the coup d'etat unexamined. The book also includes appendixes, notes, and a world map of coups d'etat.

The Wise Guy Cookbook: My Favorite Recipes from My Life as a Goodfella to Cooking on the Run


Henry Hill - 2002
    At the pizzeria where he worked as a kid, he learned to substitute pork for veal in cutlets—which came in handy later when the bankroll was low. At thirteen, he got his first percentage from a local deli—that lost business when he started supplying the neighborhood wiseguys with his own heroes. And what great heroes they were… Once he entered Witness Protection, though, Hill found himself in places where prosciutto was impossible to get and gravy was something you put on mashed potatoes. So he learned to fake it when necessary (for example, Romano with white pepper took the place of real pecorino-siciliano cheese), and wherever he found himself, Hill managed to keep good Italian food on the table. He still brings this flair for improvisation to his cooking. No recipe is set in stone. And substitutions are listed in case you need them. Now, in his inimitable style, Hill tells some spicy stories of his life in the Mob and shows you how to whip up his favorite dishes, Sicilian style—even when you’re cooking on the run....

Math Without Numbers


Milo Beckman - 2021
    This book upends the conventional approach to math, inviting you to think creatively about shape and dimension, the infinite and infinitesimal, symmetries, proofs, and how these concepts all fit together. What awaits readers is a freewheeling tour of the inimitable joys and unsolved mysteries of this curiously powerful subject.Like the classic math allegory Flatland, first published over a century ago, or Douglas Hofstadter's Godel, Escher, Bach forty years ago, there has never been a math book quite like Math Without Numbers. So many popularizations of math have dwelt on numbers like pi or zero or infinity. This book goes well beyond to questions such as: How many shapes are there? Is anything bigger than infinity? And is math even true? Milo Beckman shows why math is mostly just pattern recognition and how it keeps on surprising us with unexpected, useful connections to the real world.The ambitions of this book take a special kind of author. An inventive, original thinker pursuing his calling with jubilant passion. A prodigy. Milo Beckman completed the graduate-level course sequence in mathematics at age sixteen, when he was a sophomore at Harvard; while writing this book, he was studying the philosophical foundations of physics at Columbia under Brian Greene, among others.

Weird Math: A Teenage Genius and His Teacher Reveal the Strange Connections Between Math and Everyday Life


David Darling - 2018
    As teen math prodigy Agnijo Banerjee and his teacher David Darling reveal, complex math surrounds us. If we think long enough about the universe, we're left not with material stuff, but a ghostly and beautiful set of equations. Packed with puzzles and paradoxes, mind-bending concepts, and surprising solutions, Weird Math leads us from a lyrical exploration of mathematics in our universe to profound questions about God, chance, and infinity. A magical introduction to the mysteries of math, it will entrance beginners and seasoned mathematicians alike.