Book picks similar to
The Heart of Mathematics: An Invitation to Effective Thinking by Edward B. Burger
mathematics
math
science
nonfiction
Talent is Overrated: What Really Separates World-Class Performers from Everybody Else
Geoff Colvin - 2008
Greatness doesn't come from DNA but from practice and perseverance honed over decades. The key is how you practice, how you analyze the results of your progress and learn from your mistakes, that enables you to achieve greatness.Colvin shows that the skills of business: negotiating deals, evaluating financial statements obey the principles that lead to greatness, so that anyone can get better at them with the right kind of effort. Even the hardest decisions and interactions can be systematically improved.This new mind-set, combined with Colvin's practical advice, will change the way you think about your job and career, and will inspire you to achieve more in all you do.
Easy as Pi: The Countless Ways We Use Numbers Every Day
Jamie Buchan - 2009
Make this and all of the Blackboard Books(tm) a permanent fixture on your shelf, and you'll have instant access to a breadth of knowledge. Whether you need homework help or want to win that trivia game, this series is the trusted source for fun facts.
The Essence of Chaos
Edward N. Lorenz - 1993
Seemingly random events -- the flapping of a flag, a storm-driven wave striking the shore, a pinball's path -- often appear to have no order, no rational pattern. Explicating the theory of chaos and the consequences of its principal findings -- that actual, precise rules may govern such apparently random behavior -- has been a major part of the work of Edward N. Lorenz. In The Essence of Chaos, Lorenz presents to the general reader the features of this "new science," with its far-reaching implications for much of modern life, from weather prediction to philosophy, and he describes its considerable impact on emerging scientific fields.Unlike the phenomena dealt with in relativity theory and quantum mechanics, systems that are now described as "chaotic" can be observed without telescopes or microscopes. They range from the simplest happenings, such as the falling of a leaf, to the most complex processes, like the fluctuations of climate. Each process that qualifies, however, has certain quantifiable characteristics: how it unfolds depends very sensitively upon its present state, so that, even though it is not random, it seems to be. Lorenz uses examples from everyday life, and simple calculations, to show how the essential nature of chaotic systems can be understood. In order to expedite this task, he has constructed a mathematical model of a board sliding down a ski slope as his primary illustrative example. With this model as his base, he explains various chaotic phenomena, including some associated concepts such as strange attractors and bifurcations.As a meteorologist, Lorenz initially became interested in the field of chaos because of its implications for weather forecasting. In a chapter ranging through the history of weather prediction and meteorology to a brief picture of our current understanding of climate, he introduces many of the researchers who conceived the experiments and theories, and he describes his own initial encounter with chaos.A further discussion invites readers to make their own chaos. Still others debate the nature of randomness and its relationship to chaotic systems, and describe three related fields of scientific thought: nonlinearity, complexity, and fractality. Appendixes present the first publication of Lorenz's seminal paper "Does the Flap of a Butterfly's Wing in Brazil Set Off a Tornado in Texas?"; the mathematical equations from which the copious illustrations were derived; and a glossary.
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.
Mastermind: How to Think Like Sherlock Holmes
Maria Konnikova - 2013
But is his extraordinary intellect merely a gift of fiction, or can we learn to cultivate these abilities ourselves, to improve our lives at work and at home?We can, says psychologist and journalist Maria Konnikova, and in Mastermind she shows us how. Beginning with the "brain attic"--Holmes's metaphor for how we store information and organize knowledge--Konnikova unpacks the mental strategies that lead to clearer thinking and deeper insights. Drawing on twenty-first-century neuroscience and psychology, Mastermind explores Holmes's unique methods of ever-present mindfulness, astute observation, and logical deduction. In doing so, it shows how each of us, with some self-awareness and a little practice, can employ these same methods to sharpen our perceptions, solve difficult problems, and enhance our creative powers. For Holmes aficionados and casual readers alike, Konnikova reveals how the world's most keen-eyed detective can serve as an unparalleled guide to upgrading the mind.
The New Drawing on the Right Side of the Brain
Betty Edwards - 1979
In 1989, when Dr. Betty Edwards revised the book, it went straight to the Times list again. Now Dr. Edwards celebrates the twentieth anniversary of her classic book with a second revised edition.Over the last decade, Dr. Edwards has refined her material through teaching hundreds of workshops and seminars. Truly The New Drawing on the Right Side of the Brain, this edition includes:the very latest developments in brain researchnew material on using drawing techniques in the corporate world and in educationinstruction on self-expression through drawingan updated section on using colordetailed information on using the five basic skills of drawing for problem solving