Birth of a Theorem: A Mathematical Adventure


Cédric Villani - 2012
    Birth of a Theorem is Villani’s own account of the years leading up to the award. It invites readers inside the mind of a great mathematician as he wrestles with the most important work of his career.But you don’t have to understand nonlinear Landau damping to love Birth of a Theorem. It doesn’t simplify or overexplain; rather, it invites readers into collaboration. Villani’s diaries, emails, and musings enmesh you in the process of discovery. You join him in unproductive lulls and late-night breakthroughs. You’re privy to the dining-hall conversations at the world’s greatest research institutions. Villani shares his favorite songs, his love of manga, and the imaginative stories he tells his children. In mathematics, as in any creative work, it is the thinker’s whole life that propels discovery—and with Birth of a Theorem, Cédric Villani welcomes you into his.

Thinkertoys: A Handbook of Creative-Thinking Techniques


Michael Michalko - 1991
    But how can you be the person who comes up with those ideas? In this revised and expanded edition of his groundbreaking Thinkertoys, creativity expert Michael Michalko reveals life-changing tools that will help you think like a genius. From the linear to the intuitive, this comprehensive handbook details ingenious creative-thinking techniques for approaching problems in unconventional ways. Through fun and thought-provoking exercises, you’ll learn how to create original ideas that will improve your personal life and your business life. Michalko’s techniques show you how to look at the same information as everyone else and see something different.  With hundreds of hints, tricks, tips, tales, and puzzles, Thinkertoys will open your mind to a world of innovative solutions to everyday and not-so-everyday problems.

The Lady Tasting Tea: How Statistics Revolutionized Science in the Twentieth Century


David Salsburg - 2001
    At a summer tea party in Cambridge, England, a guest states that tea poured into milk tastes different from milk poured into tea. Her notion is shouted down by the scientific minds of the group. But one man, Ronald Fisher, proposes to scientifically test the hypothesis. There is no better person to conduct such an experiment, for Fisher is a pioneer in the field of statistics.The Lady Tasting Tea spotlights not only Fisher's theories but also the revolutionary ideas of dozens of men and women which affect our modern everyday lives. Writing with verve and wit, David Salsburg traces breakthroughs ranging from the rise and fall of Karl Pearson's theories to the methods of quality control that rebuilt postwar Japan's economy, including a pivotal early study on the capacity of a small beer cask at the Guinness brewing factory. Brimming with intriguing tidbits and colorful characters, The Lady Tasting Tea salutes the spirit of those who dared to look at the world in a new way.

The Tao of Physics: An Exploration of the Parallels between Modern Physics and Eastern Mysticism


Fritjof Capra - 1975
    

Concrete Mathematics: A Foundation for Computer Science


Ronald L. Graham - 1988
    "More concretely," the authors explain, "it is the controlled manipulation of mathematical formulas, using a collection of techniques for solving problems."

The Model Thinker: What You Need to Know to Make Data Work for You


Scott E. Page - 2018
    But as anyone who has ever opened up a spreadsheet packed with seemingly infinite lines of data knows, numbers aren't enough: we need to know how to make those numbers talk. In The Model Thinker, social scientist Scott E. Page shows us the mathematical, statistical, and computational models—from linear regression to random walks and far beyond—that can turn anyone into a genius. At the core of the book is Page's "many-model paradigm," which shows the reader how to apply multiple models to organize the data, leading to wiser choices, more accurate predictions, and more robust designs. The Model Thinker provides a toolkit for business people, students, scientists, pollsters, and bloggers to make them better, clearer thinkers, able to leverage data and information to their advantage.

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.

Linear Algebra Done Right


Sheldon Axler - 1995
    The novel approach taken here banishes determinants to the end of the book and focuses on the central goal of linear algebra: understanding the structure of linear operators on vector spaces. The author has taken unusual care to motivate concepts and to simplify proofs. For example, the book presents - without having defined determinants - a clean proof that every linear operator on a finite-dimensional complex vector space (or an odd-dimensional real vector space) has an eigenvalue. A variety of interesting exercises in each chapter helps students understand and manipulate the objects of linear algebra. This second edition includes a new section on orthogonal projections and minimization problems. The sections on self-adjoint operators, normal operators, and the spectral theorem have been rewritten. New examples and new exercises have been added, several proofs have been simplified, and hundreds of minor improvements have been made throughout the text.

The Secret


Rhonda Byrne - 2006
    For the first time, all the pieces of The Secret come together in an incredible revelation that will be life-transforming for all who experience it.In this book, you’ll learn how to use The Secret in every aspect of your life—money, health, relationships, happiness, and in every interaction you have in the world. You’ll begin to understand the hidden, untapped power that’s within you, and this revelation can bring joy to every aspect of your life.The Secret contains wisdom from modern-day teachers—men and women who have used it to achieve health, wealth, and happiness. By applying the knowledge of The Secret, they bring to light compelling stories of eradicating disease, acquiring massive wealth, overcoming obstacles, and achieving what many would regard as impossible.

Calculus Made Easy


Silvanus Phillips Thompson - 1910
    With a new introduction, three new chapters, modernized language and methods throughout, and an appendix of challenging and enjoyable practice problems, Calculus Made Easy has been thoroughly updated for the modern reader.

The Puzzler's Dilemma: From the Lighthouse of Alexandria to Monty Hall, a Fresh Look at Classic Conundrums of Logic, Mathematics, and Life


Derrick Niederman - 2012
    Among the old chestnuts he cracks wide open are the following classics: Knights and knaves The monk and the mountain The dominoes and the chessboard The unexpected hanging The Tower of HanoiUsing real-world analogies, infectious humor, and a fresh approach, this deceptively simple volume will challenge, amuse, enlighten, and surprise even the most experienced puzzle solver.

A Mathematician's Lament: How School Cheats Us Out of Our Most Fascinating and Imaginative Art Form


Paul Lockhart - 2009
    Witty and accessible, Paul Lockhart’s controversial approach will provoke spirited debate among educators and parents alike and it will alter the way we think about math forever.Paul Lockhart, has taught mathematics at Brown University and UC Santa Cruz. Since 2000, he has dedicated himself to K-12 level students at St. Ann’s School in Brooklyn, New York.

Please Understand Me II: Temperament, Character, Intelligence


David Keirsey - 1998
    Advertised only by word of mouth, the book became a favorite training and counseling guide in many institutions -- government, church, business -- and colleges across the nation adopted it as an auxiliary text in a dozen different departments. Why? Perhaps it was the user-friendly way that Please Understand Me helped people find their personality style. Perhaps it was the simple accuracy of Keirsey's portraits of temperament and character types. Or perhaps it was the book's essential message: that members of families and institutions are OK, even though they are fundamentally different from each other, and that they would all do well to appreciate their differences and give up trying to change others into copies of themselves.Now: Please Understand Me IIFor the past twenty years Keirsey has continued to investigate personality differences -- to refine his theory of the four temperaments and to define the facets of character that distinguish one from another. His findings form the basis of Please Understand Me II, an updated and greatly expanded edition of the book, far more comprehensive and coherent than the original, and yet with much of the same easy accessibility. One major addition is Keirsey's view of how the temperaments differ in the intelligent roles they are most likely to develop. Each of us, he says, has four kinds of intelligence -- tactical, logistical, diplomatic, strategic -- though one of the four interests us far more than the others, and thus gets far more practice than the rest. Like four suits in a hand of cards, we each have a long suit and a short suit in what interests us and what we do well, and fortunate indeed are those whose work matches their skills. As in the original book, Please Understand Me II begins with The Keirsey Temperament Sorter, the most used personality inventory in the world. But also included is The Keirsey Four-Types Sorter, a new short questionnaire that identifies one's basic temperament and then ranks one's second, third, and fourth choices. Share this new sorter with friends and family, and get set for a lively and fascinating discussion of personal styles.

Impro: Improvisation and the Theatre


Keith Johnstone - 1979
    Admired for its clarity and zest, Impro lays bare the techniques and exercises used to foster spontaneity and narrative skill for actors. These techniques and exercises were evolved in the actors' studio, when he was Associate Director of the Royal Court and then in demonstrations to schools and colleges and ultimately in the founding of a company of performers called The Theatre Machine.Divided into four sections, 'Status', 'Spontaneity', 'Narrative Skills' and 'Masks and Trance', arranged more or less in the order a group might approach them, the book sets out the specific approaches which Johnstone has himself found most useful and most stimulating. The result is a fascinating exploration of the nature of spontaneous creativity.

The Art of Learning: A Journey in the Pursuit of Excellence


Josh Waitzkin - 2007
    A public figure since winning his first National Chess Championship at the age of nine, Waitzkin was catapulted into a media whirlwind as a teenager when his father's book "Searching for Bobby Fischer" was made into a major motion picture. After dominating the scholastic chess world for ten years, Waitzkin expanded his horizons, taking on the martial art Tai Chi Chuan and ultimately earning the title of World Champion. How was he able to reach the pinnacle of two disciplines that on the surface seem so different? "I've come to realize that what I am best at is not Tai Chi, and it is not chess," he says. "What I am best at is the art of learning."In his riveting new book, "The Art of Learning," Waitzkin tells his remarkable story of personal achievement and shares the principles of learning and performance that have propelled him to the top -- twice.With a narrative that combines heart-stopping martial arts wars and tense chess face-offs with life lessons that speak to all of us, "The Art of Learning" takes readers through Waitzkin's unique journey to excellence. He explains in clear detail how a well-thought-out, principled approach to learning is what separates success from failure. Waitzkin believes that achievement, even at the championship level, is a function of a lifestyle that fuels a creative, resilient growth process. Rather than focusing on climactic wins, Waitzkin reveals the inner workings of his everyday method, from systematically triggering intuitive breakthroughs, to honing techniques into states of remarkable potency, to mastering the art of performance psychology.Through his own example, Waitzkin explains how to embrace defeat and make mistakes work for you. Does your opponent make you angry? Waitzkin describes how to channel emotions into creative fuel. As he explains it, obstacles are not obstacles but challenges to overcome, to spur the growth process by turning weaknesses into strengths. He illustrates the exact routines that he has used in all of his competitions, whether mental or physical, so that you too can achieve your peak performance zone in any competitive or professional circumstance.In stories ranging from his early years taking on chess hustlers as a seven year old in New York City's Washington Square Park, to dealing with the pressures of having a film made about his life, to International Chess Championships in India, Hungary, and Brazil, to gripping battles against powerhouse fighters in Taiwan in the Push Hands World Championships, "The Art of Learning" encapsulates an extraordinary competitor's life lessons in a page-turning narrative.