Book picks similar to
The Heart of Mathematics: An Invitation to Effective Thinking by Edward B. Burger
mathematics
math
science
nonfiction
Prisoner's Dilemma: John von Neumann, Game Theory, and the Puzzle of the Bomb
William Poundstone - 1992
Though the answers may seem simple, their profound implications make the prisoner's dilemma one of the great unifying concepts of science. Watching players bluff in a poker game inspired John von Neumann--father of the modern computer and one of the sharpest minds of the century--to construct game theory, a mathematical study of conflict and deception. Game theory was readily embraced at the RAND Corporation, the archetypical think tank charged with formulating military strategy for the atomic age, and in 1950 two RAND scientists made a momentous discovery.Called the prisoner's dilemma, it is a disturbing and mind-bending game where two or more people may betray the common good for individual gain. Introduced shortly after the Soviet Union acquired the atomic bomb, the prisoner's dilemma quickly became a popular allegory of the nuclear arms race. Intellectuals such as von Neumann and Bertrand Russell joined military and political leaders in rallying to the preventive war movement, which advocated a nuclear first strike against the Soviet Union. Though the Truman administration rejected preventive war the United States entered into an arms race with the Soviets and game theory developed into a controversial tool of public policy--alternately accused of justifying arms races and touted as the only hope of preventing them.A masterful work of science writing, Prisoner's Dilemma weaves together a biography of the brilliant and tragic von Neumann, a history of pivotal phases of the cold war, and an investigation of game theory's far-reaching influence on public policy today. Most important, Prisoner's Dilemma is the incisive story of a revolutionary idea that has been hailed as a landmark of twentieth-century thought.
An Introduction to Mechanics
Daniel Kleppner - 1973
Intended for undergraduate students with foundation skills in mathematics and a deep interest in physics, it systematically lays out the principles of mechanics: vectors, Newton's laws, momentum, energy, rotational motion, angular momentum and noninertial systems, and includes chapters on central force motion, the harmonic oscillator, and relativity. Numerous worked examples demonstrate how the principles can be applied to a wide range of physical situations, and more than 600 figures illustrate methods for approaching physical problems. The book also contains over 200 challenging problems to help the student develop a strong understanding of the subject. Password-protected solutions are available for instructors at www.cambridge.org/9780521198219.
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."
The De-Textbook: The Stuff You Didn't Know About the Stuff You Thought You Knew
Cracked.com - 2013
For decades your teachers, authority figures and textbooks have been lying to you. You do not have five senses. Your tongue doesn't have neatly segregated taste-bud zones. You don't know what the pyramids really looked like. You're even pooping wrong - Jesus, you're a wreck!But it's going to be okay. Because we're here to help. Packed with more sexy facts than the Encyclopedia Pornographica, the Cracked De-Textbook will teach you about the true stars of history, why you picture everything from Velociraptors to Ancient Rome incorrectly, and finally, at long last - how to pop a proper squat. This book was built from the ground up to systematically seek out, dismantle and destroy the many untruths that years of misguided education have left festering inside of you, and leave you a smarter person...whether you like it or not. The De-Textbook is a merciless, brutal learning machine. It can't be bargained with. It can't be reasoned with. It doesn't feel pity, or remorse, or fear. And it absolutely will not stop, ever, until you are informed.
The Introvert Advantage: How to Thrive in an Extrovert World
Marti Olsen Laney - 2002
The better news is that by celebrating the inner strengths and uniqueness of being an "innie" THE INTROVERT ADVANTAGE shows introverts, and the extroverts who love them, how to work with instead of against their temperament to enjoy a well-lived life. Covering relationships, parenting - including parenting the introverted child - socialising, and the workplace, here are coping strategies, tactics for managing energy, and hundreds of valuable tips for not only surviving but truly thriving in an extrovert world.
Computer Science Illuminated
Nell B. Dale - 2002
Written By Two Of Today'S Most Respected Computer Science Educators, Nell Dale And John Lewis, The Text Provides A Broad Overview Of The Many Aspects Of The Discipline From A Generic View Point. Separate Program Language Chapters Are Available As Bundle Items For Those Instructors Who Would Like To Explore A Particular Programming Language With Their Students. The Many Layers Of Computing Are Thoroughly Explained Beginning With The Information Layer, Working Through The Hardware, Programming, Operating Systems, Application, And Communication Layers, And Ending With A Discussion On The Limitations Of Computing. Perfect For Introductory Computing And Computer Science Courses, Computer Science Illuminated, Third Edition's Thorough Presentation Of Computing Systems Provides Computer Science Majors With A Solid Foundation For Further Study, And Offers Non-Majors A Comprehensive And Complete Introduction To Computing.
The Joy of Mathematics: Discovering Mathematics All Around You
Theoni Pappas - 1986
Written by the well-known mathematics teacher consultant, this volume's collection of over 200 clearly illustrated mathematical ideas, concepts, puzzles, and games shows where they turn up in the real world. You'll find out what a googol is, visit hotel infinity, read a thorny logic problem that was stumping them back in the 8th century.THE JOY OF MATHEMATICS is designed to be opened at random...it's mini essays are self-contained providing the reader with an enjoyable way to explore and experience mathematics at its best.
Introductory Circuit Analysis
Robert L. Boylestad - 1968
Features exceptionally clear explanations and descriptions, step-by-step examples, more than 50 practical applications, over 2000 easy-to-challenging practice problems, and comprehensive coverage of essentials. PSpice, OrCAd version 9.2 Lite Edition, Multisims 2001 version of Electronics Workbench, and MathCad software references and examples are used throughout. Computer programs (C++, BASIC and PSpice) are printed in color, as they run, at the point in the book where they are discussed. Current and Voltage. Resistance. Ohm's Law, Power, and Energy. Series Circuits. Parallel Circuits. Series-Parallel Networks. Methods of Analysis & Selected Topics. Network Theorems. Capacitors. Magnetic Circuits. Inductors. Sinusodial Alternating Waveforms. The Basic Elements and Phasors. Series and Parallel ac Circuits. Series-Parallel ac Networks. Methods of Analysis and Related Topics. Network Theorems (ac). Power (ac). Resonance. Transformers. Polyphase Systems. Decibels, Filters, and Bode Points. Pulse Waveforms and the R-C Response. Nonsinusodial Circuits. System Analysis: An Introduction. For those working in electronic technology.
Calculus and Analytic Geometry
George B. Thomas Jr. - 1920
It features a visual presentation, designed to encourage learning; revised exercises to ensure clarity, balance and relevance; and clear commentary on the difficult subject of critical multivariable calculus topics.
Thinking In Numbers: On Life, Love, Meaning, and Math
Daniel Tammet - 2012
In Tammet's world, numbers are beautiful and mathematics illuminates our lives and minds. Using anecdotes, everyday examples, and ruminations on history, literature, and more, Tammet allows us to share his unique insights and delight in the way numbers, fractions, and equations underpin all our lives. Inspired by the complexity of snowflakes, Anne Boleyn's eleven fingers, or his many siblings, Tammet explores questions such as why time seems to speed up as we age, whether there is such a thing as an average person, and how we can make sense of those we love. Thinking In Numbers will change the way you think about math and fire your imagination to see the world with fresh eyes.
How to Build a Brain and 34 Other Really Interesting Uses of Maths
Richard Elwes - 2010
You'll find out how to unknot your DNA, how to count like a supercomputer and how to become famous for solving mathematics' most challenging problem.
Mind Hacks: Tips & Tools for Using Your Brain
Tom Stafford - 2004
At any given time, the brain is collecting, filtering, and analyzing information and, in response, performing countless intricate processes, some of which are automatic, some voluntary, some conscious, and some unconscious.Cognitive neuroscience is one of the ways we have to understand the workings of our minds. It's the study of the brain biology behind our mental functions: a collection of methods--like brain scanning and computational modeling--combined with a way of looking at psychological phenomena and discovering where, why, and how the brain makes them happen.Want to know more? Mind Hacks is a collection of probes into the moment-by-moment works of the brain. Using cognitive neuroscience, these experiments, tricks, and tips related to vision, motor skills, attention, cognition, subliminal perception, and more throw light on how the human brain works. Each hack examines specific operations of the brain. By seeing how the brain responds, we pick up clues about the architecture and design of the brain, learning a little bit more about how the brain is put together.Mind Hacks begins your exploration of the mind with a look inside the brain itself, using hacks such as "Transcranial Magnetic Stimulation: Turn On and Off Bits of the Brain" and "Tour the Cortex and the Four Lobes." Also among the 100 hacks in this book, you'll find:Release Eye Fixations for Faster ReactionsSee Movement When All is StillFeel the Presence and Loss of AttentionDetect Sounds on the Margins of CertaintyMold Your Body SchemaTest Your HandednessSee a Person in Moving LightsMake Events Understandable as Cause-and-EffectBoost Memory by Using ContextUnderstand Detail and the Limits of AttentionSteven Johnson, author of "Mind Wide Open" writes in his foreword to the book, "These hacks amaze because they reveal the brain's hidden logic; they shed light on the cheats and shortcuts and latent assumptions our brains make about the world." If you want to know more about what's going on in your head, then Mind Hacks is the key--let yourself play with the interface between you and the world.
Asking the Right Questions: A Guide to Critical Thinking
M. Neil Browne - 1981
'Asking the Right Questions' helps students bridge the gap between simply memorising or blindly accepting information, and the greater challenge of critical analysis and synthesis.
The Fractal Geometry of Nature
Benoît B. Mandelbrot - 1977
The complexity of nature's shapes differs in kind, not merely degree, from that of the shapes of ordinary geometry, the geometry of fractal shapes.Now that the field has expanded greatly with many active researchers, Mandelbrot presents the definitive overview of the origins of his ideas and their new applications. The Fractal Geometry of Nature is based on his highly acclaimed earlier work, but has much broader and deeper coverage and more extensive illustrations.
The 125 Best Brain Teasers of All Time: A Mind-Blowing Challenge of Math, Logic, and Wordplay
Marcel Danesi - 2018
Collected here to keep your wits sharp, The Best Brain Teasers of All Time features the cleverest brain teasers from around the world and throughout history.The Best Brain Teasers of All Time gives you hours of fun-filled entertainment with brain teasers that develop your problem-solving skills in math, logic, and wordplay. Organized as an integrated challenge, these brain teasers build in momentum as they increase in difficulty from classic nursery rhymes to the riddle of the sphinx.The Best Brain Teasers of All Time puts your mind to the test with:
125 Brain Teasers that require no special skills to solve. Plus, each question comes with an optional clue in case you get stumped and a handy answer key in the back to test yourself or play with friends
Brain Teasers for Every Level that cater to beginners and advanced masterminds alike, with brain teasers organized by level of difficulty to improve your skills as you move forward
Hints of History that provide fun facts and background information for every brain teaser
Get ready to sharpen your wit with every “aha” moment. The Best Brain Teasers of All Time is a go-to source for timeless fun and mind-blowing challenges.