Book picks similar to
The Psychology of Invention in the Mathematical Field by Jacques Hadamard
mathematics
psychology
math
non-fiction
A Brief History of Everything
Ken Wilber - 1996
Join one of the greatest contemporary philosophers on a breathtaking tour of time and the Kosmos--from the Big Bang right up to the eve of the twenty-first century. This accessible and entertaining summary of Ken Wilber's great ideas has been expanding minds now for two decades, providing a kind of unified field theory of the universe and, along the way, treating a host of issues related to that universe, from gender roles, to multiculturalism, to environmentalism, and even the meaning of the Internet. This special anniversary edition contains as an afterword a dialogue between the author and Lana Wachowski, the award-winning writer-director of the Matrix film trilogy, in which we're offered an intimate glimpse into the evolution of Ken's thinking and where he stands today. A Brief History of Everything may well be the best introduction to the thought of this man who has been called the -Einstein of Consciousness- (John White).
Guesstimation: Solving the World's Problems on the Back of a Cocktail Napkin
Lawrence Weinstein - 2008
More and more leading businesses today use estimation questions in interviews to test applicants' abilities to think on their feet. Guesstimation enables anyone with basic math and science skills to estimate virtually anything--quickly--using plausible assumptions and elementary arithmetic.Lawrence Weinstein and John Adam present an eclectic array of estimation problems that range from devilishly simple to quite sophisticated and from serious real-world concerns to downright silly ones. How long would it take a running faucet to fill the inverted dome of the Capitol? What is the total length of all the pickles consumed in the US in one year? What are the relative merits of internal-combustion and electric cars, of coal and nuclear energy? The problems are marvelously diverse, yet the skills to solve them are the same. The authors show how easy it is to derive useful ballpark estimates by breaking complex problems into simpler, more manageable ones--and how there can be many paths to the right answer. The book is written in a question-and-answer format with lots of hints along the way. It includes a handy appendix summarizing the few formulas and basic science concepts needed, and its small size and French-fold design make it conveniently portable. Illustrated with humorous pen-and-ink sketches, Guesstimation will delight popular-math enthusiasts and is ideal for the classroom.
Why We Make Mistakes: How We Look Without Seeing, Forget Things in Seconds, and Are All Pretty Sure We Are Way Above Average
Joseph T. Hallinan - 2009
Our eyes play tricks on us; our stories change in the retelling; and most of us are fairly sure we’re way above average. In Why We Make Mistakes, journalist Joseph T. Hallinan sets out to explore the science of human error—how we think, see, remember, and forget, and how this sets us up for wholly irresistible mistakes.In his quest to understand our imperfections, Hallinan delves into psychology, neuroscience, and economics, with forays into aviation, consumer behavior, geography, football, stock picking, and more. He discovers that some of the same qualities that make us efficient also make us error prone. Why We Make Mistakes is enlivened by real-life stories--of weathermen whose predictions are uncannily accurate and a witness who sent an innocent man to jail--and offers valuable advice, such as how to remember where you’ve hidden something important. He explains why multitasking is a bad idea, why men make errors women don’t. This book will open your eyes to the reasons behind your mistakes and have you vowing to do better the next time.
Mind in Society: The Development of Higher Psychological Processes
Lev S. Vygotsky - 1978
S. Vygotsky has long been recognized as a pioneer in developmental psychology. But somewhat ironically, his theory of development has never been well understood in the West. Mind in Society should correct much of this misunderstanding. Carefully edited by a group of outstanding Vygotsky scholars, the book presents a unique selection of Vygotsky's important essays, most of which have previously been unavailable in English. The Vygotsky who emerges from these pages can no longer be glibly included among the neobehaviorists. In these essays he outlines a dialectical-materialist theory of cognitive development that anticipates much recent work in American social science. The mind, Vygotsky argues, cannot be understood in isolation from the surrounding society. Man is the only animal who uses tools to alter his own inner world as well as the world around him. From the handkerchief knotted as a simple mnemonic device to the complexities of symbolic language, society provides the individual with technology that can be used to shape the private processes of mind. In Mind in Society Vygotsky applies this theoretical framework to the development of perception, attention, memory, language, and play, and he examines its implications for education. The result is a remarkably interesting book that is bound to renew Vygotsky's relevance to modem psychological thought.
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.
Curious: The Desire to Know and Why Your Future Depends On It
Ian Leslie - 2014
But only some retain the habits of exploring, learning and discovering as they grow older. Which side of the ’curiosity divide’ are you on?In Curious Ian Leslie makes a passionate case for the cultivation of our desire to know. Curious people tend to be smarter, more creative and more successful. But at the very moment when the rewards of curiosity have never been higher, it is misunderstood and undervalued, and increasingly practised only by a cognitive elite.Filled with inspiring stories, case studies and practical advice, Curious will change the way you think about your own mental life, and that of those around you.
Godel: A Life Of Logic, The Mind, And Mathematics
John L. Casti - 2000
His Incompleteness Theorem turned not only mathematics but also the whole world of science and philosophy on its head. Equally legendary were Gö's eccentricities, his close friendship with Albert Einstein, and his paranoid fear of germs that eventually led to his death from self-starvation. Now, in the first popular biography of this strange and brilliant thinker, John Casti and Werner DePauli bring the legend to life. After describing his childhood in the Moravian capital of Brno, the authors trace the arc of Gö's remarkable career, from the famed Vienna Circle, where philosophers and scientists debated notions of truth, to the Institute for Advanced Study in Princeton, New Jersey, where he lived and worked until his death in 1978. In the process, they shed light on Gö's contributions to mathematics, philosophy, computer science, artificial intelligence -- even cosmology -- in an entertaining and accessible way.
The Art and Craft of Problem Solving
Paul Zeitz - 1999
Readers are encouraged to do math rather than just study it. The author draws upon his experience as a coach for the International Mathematics Olympiad to give students an enhanced sense of mathematics and the ability to investigate and solve problems.
Human: The Science Behind What Makes Us Unique
Michael S. Gazzaniga - 2008
What it has not done is consider the stark reality that most of the time we humans are thinking about social processes, comparing ourselves to and estimating the intentions of others. In Human, Gazzaniga explores a number of related issues, including what makes human brains unique, the importance of language and art in defining the human condition, the nature of human consciousness, and even artificial intelligence.
What Is the Name of This Book?
Raymond M. Smullyan - 1978
Raymond M. Smullyan — a celebrated mathematician, logician, magician, and author — presents a logical labyrinth of more than 200 increasingly complex problems. The puzzles delve into Gödel’s undecidability theorem and other examples of the deepest paradoxes of logic and set theory. Detailed solutions follow each puzzle.
Conscious: A Brief Guide to the Fundamental Mystery of the Mind
Annaka Harris - 2019
But the very existence of consciousness raises profound questions: Why would any collection of matter in the universe be conscious? How are we able to think about this? And why should we?In this wonderfully accessible book, Annaka Harris guides us through the evolving definitions, philosophies, and scientific findings that probe our limited understanding of consciousness. Where does it reside, and what gives rise to it? Could it be an illusion, or a universal property of all matter? As we try to understand consciousness, we must grapple with how to define it and, in the age of artificial intelligence, who or what might possess it. Conscious offers lively and challenging arguments that alter our ideas about consciousness—allowing us to think freely about it for ourselves, if indeed we can.
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.
Euler: The Master of Us All
William Dunham - 1999
This book examines the huge scope of mathematical areas explored and developed by Euler, which includes number theory, combinatorics, geometry, complex variables and many more. The information known to Euler over 300 years ago is discussed, and many of his advances are reconstructed. Readers will be left in no doubt about the brilliance and pervasive influence of Euler's work.
Bayesian Statistics the Fun Way: Understanding Statistics and Probability with Star Wars, Lego, and Rubber Ducks
Will Kurt - 2019
But many people use data in ways they don't even understand, meaning they aren't getting the most from it. Bayesian Statistics the Fun Way will change that.This book will give you a complete understanding of Bayesian statistics through simple explanations and un-boring examples. Find out the probability of UFOs landing in your garden, how likely Han Solo is to survive a flight through an asteroid shower, how to win an argument about conspiracy theories, and whether a burglary really was a burglary, to name a few examples.By using these off-the-beaten-track examples, the author actually makes learning statistics fun. And you'll learn real skills, like how to:- How to measure your own level of uncertainty in a conclusion or belief- Calculate Bayes theorem and understand what it's useful for- Find the posterior, likelihood, and prior to check the accuracy of your conclusions- Calculate distributions to see the range of your data- Compare hypotheses and draw reliable conclusions from themNext time you find yourself with a sheaf of survey results and no idea what to do with them, turn to Bayesian Statistics the Fun Way to get the most value from your data.