Book picks similar to
The Psychology of Invention in the Mathematical Field by Jacques Hadamard
mathematics
psychology
math
non-fiction
All of Statistics: A Concise Course in Statistical Inference
Larry Wasserman - 2003
But in spirit, the title is apt, as the book does cover a much broader range of topics than a typical introductory book on mathematical statistics. This book is for people who want to learn probability and statistics quickly. It is suitable for graduate or advanced undergraduate students in computer science, mathematics, statistics, and related disciplines. The book includes modern topics like nonparametric curve estimation, bootstrapping, and clas- sification, topics that are usually relegated to follow-up courses. The reader is presumed to know calculus and a little linear algebra. No previous knowledge of probability and statistics is required. Statistics, data mining, and machine learning are all concerned with collecting and analyzing data. For some time, statistics research was con- ducted in statistics departments while data mining and machine learning re- search was conducted in computer science departments. Statisticians thought that computer scientists were reinventing the wheel. Computer scientists thought that statistical theory didn't apply to their problems. Things are changing. Statisticians now recognize that computer scientists are making novel contributions while computer scientists now recognize the generality of statistical theory and methodology. Clever data mining algo- rithms are more scalable than statisticians ever thought possible. Formal sta- tistical theory is more pervasive than computer scientists had realized.
The Society of Mind
Marvin Minsky - 1985
Mirroring his theory, Minsky boldly casts The Society of Mind as an intellectual puzzle whose pieces are assembled along the way. Each chapter -- on a self-contained page -- corresponds to a piece in the puzzle. As the pages turn, a unified theory of the mind emerges, like a mosaic. Ingenious, amusing, and easy to read, The Society of Mind is an adventure in imagination.
The 5 Elements of Effective Thinking
Edward B. Burger - 2012
Burger teaches at Wiliams College; Starbird at The University of Texas at Austin. Here, they “reveal the hidden powers of deep understanding (earth), failure (fire), questions (air), the flow of ideas (water), and the quintessential element of change that brings all four elements together. By mastering and applying these practical and proven strategies, readers develop better thinking habits and learn how to create their own successes.”Brilliant people aren't a special breed--they just use their minds differently. By using the straightforward and thought-provoking techniques in "The 5 Elements of Effective Thinking," you will regularly find imaginative solutions to difficult challenges, and you will discover new ways of looking at your world and yourself--revealing previously hidden opportunities.The book offers real-life stories, explicit action items, and concrete methods that allow you to attain a deeper understanding of any issue, exploit the power of failure as a step toward success, develop a habit of creating probing questions, see the world of ideas as an ever-flowing stream of thought, and embrace the uplifting reality that we are all capable of change. No matter who you are, the practical mind-sets introduced in the book will empower you to realize any goal in a more creative, intelligent, and effective manner. Filled with engaging examples that unlock truths about thinking in every walk of life, "The 5 Elements of Effective Thinking" is written for all who want to reach their fullest potential--including students, parents, teachers, businesspeople, professionals, athletes, artists, leaders, and lifelong learners.Whenever you are stuck, need a new idea, or want to learn and grow, "The 5 Elements of Effective Thinking" will inspire and guide you on your way.
Visual Intelligence: Sharpen Your Perception, Change Your Life
Amy E. Herman - 2015
How could looking at Monet’s water lily paintings help save your company millions? How can checking out people’s footwear foil a terrorist attack? How can your choice of adjective win an argument, calm your kid, or catch a thief? In her celebrated seminar, the Art of Perception, art historian Amy Herman has trained experts from many fields how to perceive and communicate better. By showing people how to look closely at images, she helps them hone their “visual intelligence,” a set of skills we all possess but few of us know how to use properly. She has spent more than a decade teaching doctors to observe patients instead of their charts, helping police officers separate facts from opinions when investigating a crime, and training professionals from the FBI, the State Department, Fortune 500 companies, and the military to recognize the most pertinent and useful information. Her lessons highlight far more than the physical objects you may be missing; they teach you how to recognize the talents, opportunities, and dangers that surround you every day. Whether you want to be more effective on the job, more empathetic toward your loved ones, or more alert to the trove of possibilities and threats all around us, this book will show you how to see what matters most to you more clearly than ever before.
Concepts of Modern Mathematics
Ian Stewart - 1975
Based on the abstract, general style of mathematical exposition favored by research mathematicians, its goal was to teach students not just to manipulate numbers and formulas, but to grasp the underlying mathematical concepts. The result, at least at first, was a great deal of confusion among teachers, students, and parents. Since then, the negative aspects of "new math" have been eliminated and its positive elements assimilated into classroom instruction.In this charming volume, a noted English mathematician uses humor and anecdote to illuminate the concepts underlying "new math": groups, sets, subsets, topology, Boolean algebra, and more. According to Professor Stewart, an understanding of these concepts offers the best route to grasping the true nature of mathematics, in particular the power, beauty, and utility of pure mathematics. No advanced mathematical background is needed (a smattering of algebra, geometry, and trigonometry is helpful) to follow the author's lucid and thought-provoking discussions of such topics as functions, symmetry, axiomatics, counting, topology, hyperspace, linear algebra, real analysis, probability, computers, applications of modern mathematics, and much more.By the time readers have finished this book, they'll have a much clearer grasp of how modern mathematicians look at figures, functions, and formulas and how a firm grasp of the ideas underlying "new math" leads toward a genuine comprehension of the nature of mathematics itself.
The Rise of Superman: Decoding the Science of Ultimate Human Performance
Steven Kotler - 2014
Drawing on over a decade of research and first-hand interviews with dozens of top action and adventure sports athletes such as big–wave legend Laird Hamilton, big–mountain snowboarder Jeremy Jones, and skateboarding pioneer Danny Way, Kotler explores the frontier science of “flow,” an optimal state of consciousness where we perform and feel our best.Building a bridge between the extreme and the mainstream, The Rise of Superman explains how these athletes are using flow to do the impossible and how we can use this information to radically accelerate our performance in our own lives.At its core, this is a book about profound possibility, what is actually possible for our species, and where—if anywhere—our limits lie.
The Distracted Mind: Ancient Brains in a High-Tech World
Adam Gazzaley - 2016
We pride ourselves on our ability to multitask--read work email, reply to a text, check Facebook, watch a video clip. Talk on the phone, send a text, drive a car. Enjoy family dinner with a glowing smartphone next to our plates. We can do it all, 24/7! Never mind the errors in the email, the near-miss on the road, and the unheard conversation at the table. In The Distracted Mind, Adam Gazzaley and Larry Rosen--a neuroscientist and a psychologist--explain why our brains aren't built for multitasking, and suggest better ways to live in a high-tech world without giving up our modern technology.The authors explain that our brains are limited in their ability to pay attention. We don't really multitask but rather switch rapidly between tasks. Distractions and interruptions, often technology-related--referred to by the authors as "interference"--collide with our goal-setting abilities. We want to finish this paper/spreadsheet/sentence, but our phone signals an incoming message and we drop everything. Even without an alert, we decide that we "must" check in on social media immediately.Gazzaley and Rosen offer practical strategies, backed by science, to fight distraction. We can change our brains with meditation, video games, and physical exercise; we can change our behavior by planning our accessibility and recognizing our anxiety about being out of touch even briefly. They don't suggest that we give up our devices, but that we use them in a more balanced way.
Creativity: Flow and the Psychology of Discovery and Invention
Mihaly Csikszentmihalyi - 1996
The author's objective is to offer an understanding of what leads to these moments, be it the excitement of the artist at the easel or the scientist in the lab, so that knowledge can be used to enrich people's lives. Drawing on 100 interviews with exceptional people, from biologists and physicists to politicians and business leaders, poets and artists, as well as his 30 years of research on the subject, Csikszentmihalyi uses his famous theory to explore the creative process. He discusses such ideas as why creative individuals are often seen as selfish and arrogant, and why the tortured genius is largely a myth. Most important, he clearly explains why creativity needs to be cultivated and is necessary for the future of our country, if not the world.
Louder Than Words: The New Science of How the Mind Makes Meaning
Benjamin K. Bergen - 2012
You can use it to talk about all sorts of things -- from your new labradoodle puppy to the expansive gardens at Versailles, from Roger Federer's backhand to things that don't exist at all, like flying pigs. And when you talk, your listener fills in lots of details you didn't mention -- the curliness of the dog's fur or the vast statuary on the grounds of the French palace. What's the trick behind this magic? How does meaning work?In Louder than Words, cognitive scientist Benjamin Bergen draws together a decade’s worth of research in psychology, linguistics, and neuroscience to offer a new theory of how our minds make meaning. When we hear words and sentences, Bergen contends, we engage the parts of our brain that we use for perception and action, repurposing these evolutionarily older networks to create simulations in our minds. These embodied simulations, as they're called, are what makes it possible for us to become better baseball players by merely visualizing a well-executed swing; what allows us to remember which cupboard the diapers are in without looking, and what makes it so hard to talk on a cell phone while we're driving on the highway. Meaning is more than just knowing definitions of words, as others have previously argued. In understanding language, our brains engage in a creative process of constructing rich mental worlds in which we see, hear, feel, and act.Through whimsical examples and ingenious experiments, Bergen leads us on a virtual tour of the new science of embodied cognition. A brilliant account of our human capacity to understand language, Louder than Words will profoundly change how you read, speak, and listen.
Intuition Pumps And Other Tools for Thinking
Daniel C. Dennett - 2013
Dennett has engaged questions about science and the workings of the mind. His answers have combined rigorous argument with strong empirical grounding. And a lot of fun.Intuition Pumps and Other Tools for Thinking offers seventy-seven of Dennett’s most successful "imagination-extenders and focus-holders" meant to guide you through some of life’s most treacherous subject matter: evolution, meaning, mind, and free will. With patience and wit, Dennett deftly deploys his thinking tools to gain traction on these thorny issues while offering readers insight into how and why each tool was built.Alongside well-known favorites like Occam’s Razor and reductio ad absurdum lie thrilling descriptions of Dennett’s own creations: Trapped in the Robot Control Room, Beware of the Prime Mammal, and The Wandering Two-Bitser. Ranging across disciplines as diverse as psychology, biology, computer science, and physics, Dennett’s tools embrace in equal measure light-heartedness and accessibility as they welcome uninitiated and seasoned readers alike. As always, his goal remains to teach you how to "think reliably and even gracefully about really hard questions."A sweeping work of intellectual seriousness that’s also studded with impish delights, Intuition Pumps offers intrepid thinkers—in all walks of life—delicious opportunities to explore their pet ideas with new powers.
The Knowledge Illusion: Why We Never Think Alone
Steven Sloman - 2017
How have we achieved so much despite understanding so little? Cognitive scientists Steven Sloman and Philip Fernbach argue that we survive and thrive despite our mental shortcomings because we live in a rich community of knowledge. The key to our intelligence lies in the people and things around us. We're constantly drawing on information and expertise stored outside our heads: in our bodies, our environment, our possessions, and the community with which we interact--and usually we don't even realize we're doing it. The human mind is both brilliant and pathetic. We have mastered fire, created democratic institutions, stood on the moon, and sequenced our genome. And yet each of us is error prone, sometimes irrational, and often ignorant. The fundamentally communal nature of intelligence and knowledge explains why we often assume we know more than we really do, why political opinions and false beliefs are so hard to change, and why individually oriented approaches to education and management frequently fail. But our collaborative minds also enable us to do amazing things. This book contends that true genius can be found in the ways we create intelligence using the world around us.
The Seven Sins of Memory: How the Mind Forgets and Remembers
Daniel L. Schacter - 2001
Schacter explores instances of what we would consider memory failure—absent-mindedness, transience, blocking, misattribution, suggestibility, bias, and persistence—and suggests instead that these miscues are actually indications that memory is functioning as designed. Drawing from vivid scientific research and creative literature, as well as high-profile events in which memory has figured significantly (Bill Clinton's grand jury testimony, for instance), The Seven Sins of Memory provides a more nuanced understanding of how memory and the mind influence each other and shape our lives.
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.
How We Learn: The Surprising Truth About When, Where, and Why It Happens
Benedict Carey - 2014
We’re told that learning is all self-discipline, that we must confine ourselves to designated study areas, turn off the music, and maintain a strict ritual if we want to ace that test, memorize that presentation, or nail that piano recital. But what if almost everything we were told about learning is wrong? And what if there was a way to achieve more with less effort? In How We Learn, award-winning science reporter Benedict Carey sifts through decades of education research and landmark studies to uncover the truth about how our brains absorb and retain information. What he discovers is that, from the moment we are born, we are all learning quickly, efficiently, and automatically; but in our zeal to systematize the process we have ignored valuable, naturally enjoyable learning tools like forgetting, sleeping, and daydreaming. Is a dedicated desk in a quiet room really the best way to study? Can altering your routine improve your recall? Are there times when distraction is good? Is repetition necessary? Carey’s search for answers to these questions yields a wealth of strategies that make learning more a part of our everyday lives—and less of a chore. By road testing many of the counterintuitive techniques described in this book, Carey shows how we can flex the neural muscles that make deep learning possible. Along the way he reveals why teachers should give final exams on the first day of class, why it’s wise to interleave subjects and concepts when learning any new skill, and when it’s smarter to stay up late prepping for that presentation than to rise early for one last cram session. And if this requires some suspension of disbelief, that’s because the research defies what we’ve been told, throughout our lives, about how best to learn. The brain is not like a muscle, at least not in any straightforward sense. It is something else altogether, sensitive to mood, to timing, to circadian rhythms, as well as to location and environment. It doesn’t take orders well, to put it mildly. If the brain is a learning machine, then it is an eccentric one. In How We Learn, Benedict Carey shows us how to exploit its quirks to our advantage. Praise for How We Learn“This book is a revelation. I feel as if I’ve owned a brain for fifty-four years and only now discovered the operating manual.”—Mary Roach, bestselling author of Stiff and Gulp“A welcome rejoinder to the faddish notion that learning is all about the hours put in.”
—The New York Times Book Review
“A valuable, entertaining tool for educators, students and parents.”
—Shelf Awareness
“How We Learn is more than a new approach to learning; it is a guide to making the most out of life. Who wouldn’t be interested in that?”
—Scientific American
“I know of no other source that pulls together so much of what we know about the science of memory and couples it with practical, practicable advice.”—Daniel T. Willingham, professor of psychology at the University of Virginia
Probability Theory: The Logic of Science
E.T. Jaynes - 1999
It discusses new results, along with applications of probability theory to a variety of problems. The book contains many exercises and is suitable for use as a textbook on graduate-level courses involving data analysis. Aimed at readers already familiar with applied mathematics at an advanced undergraduate level or higher, it is of interest to scientists concerned with inference from incomplete information.