The Mathematician's Mind

Download The Mathematician's Mind PDF Online Free

Author :
Publisher : Princeton University Press
ISBN 13 : 0691212902
Total Pages : 168 pages
Book Rating : 4.6/5 (912 download)

DOWNLOAD NOW!


Book Synopsis The Mathematician's Mind by : Jacques Hadamard

Download or read book The Mathematician's Mind written by Jacques Hadamard and published by Princeton University Press. This book was released on 2020-05-05 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fifty years ago when Jacques Hadamard set out to explore how mathematicians invent new ideas, he considered the creative experiences of some of the greatest thinkers of his generation, such as George Polya, Claude Lévi-Strauss, and Albert Einstein. It appeared that inspiration could strike anytime, particularly after an individual had worked hard on a problem for days and then turned attention to another activity. In exploring this phenomenon, Hadamard produced one of the most famous and cogent cases for the existence of unconscious mental processes in mathematical invention and other forms of creativity. Written before the explosion of research in computers and cognitive science, his book, originally titled The Psychology of Invention in the Mathematical Field, remains an important tool for exploring the increasingly complex problem of mental life. The roots of creativity for Hadamard lie not in consciousness, but in the long unconscious work of incubation, and in the unconscious aesthetic selection of ideas that thereby pass into consciousness. His discussion of this process comprises a wide range of topics, including the use of mental images or symbols, visualized or auditory words, "meaningless" words, logic, and intuition. Among the important documents collected is a letter from Albert Einstein analyzing his own mechanism of thought.

An Essay on the Psychology of Invention in the Mathematical Field

Download An Essay on the Psychology of Invention in the Mathematical Field PDF Online Free

Author :
Publisher : Read Books Ltd
ISBN 13 : 1447493273
Total Pages : 164 pages
Book Rating : 4.4/5 (474 download)

DOWNLOAD NOW!


Book Synopsis An Essay on the Psychology of Invention in the Mathematical Field by : Jacques Hadamard

Download or read book An Essay on the Psychology of Invention in the Mathematical Field written by Jacques Hadamard and published by Read Books Ltd. This book was released on 2013-04-16 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many of the earliest books, particularly those dating back to the 1900s and before, are now extremely scarce and increasingly expensive. We are republishing these classic works in affordable, high quality, modern editions, using the original text and artwork.

The Mathematician's Brain

Download The Mathematician's Brain PDF Online Free

Author :
Publisher : Princeton University Press
ISBN 13 : 9780691129822
Total Pages : 180 pages
Book Rating : 4.1/5 (298 download)

DOWNLOAD NOW!


Book Synopsis The Mathematician's Brain by : David Ruelle

Download or read book The Mathematician's Brain written by David Ruelle and published by Princeton University Press. This book was released on 2007-08-05 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: Examines mathematical ideas and the visionary minds behind them. This book provides an account of celebrated mathematicians and their quirks, oddities, personal tragedies, bad behavior, descents into madness, tragic ends, and the beauty of their mathematical discoveries.

Mathematics and Mind

Download Mathematics and Mind PDF Online Free

Author :
Publisher : Oxford University Press, USA
ISBN 13 : 0195079299
Total Pages : 218 pages
Book Rating : 4.1/5 (95 download)

DOWNLOAD NOW!


Book Synopsis Mathematics and Mind by : Alexander George

Download or read book Mathematics and Mind written by Alexander George and published by Oxford University Press, USA. This book was released on 1994 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: The essays in this volume investigate the conceptual foundations of mathematics illuminating the powers of the mind. Contributors include Alexander George, Michael Dummett, George Boolos, W.W. Tait, Wilfried Sieg, Daniel Isaacson, Charles Parsons, and Michael Hallett.

Mathematical Mind-Benders

Download Mathematical Mind-Benders PDF Online Free

Author :
Publisher : CRC Press
ISBN 13 : 1568815077
Total Pages : 159 pages
Book Rating : 4.5/5 (688 download)

DOWNLOAD NOW!


Book Synopsis Mathematical Mind-Benders by : Peter Winkler

Download or read book Mathematical Mind-Benders written by Peter Winkler and published by CRC Press. This book was released on 2007-08-17 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt: Peter Winkler is at it again. Following the enthusiastic reaction to Mathematical Puzzles: A Connoisseur's Collection, Peter has compiled a new collection of elegant mathematical puzzles to challenge and entertain the reader. The original puzzle connoisseur shares these puzzles, old and new, so that you can add them to your own anthology. This book

A Mind for Mathematics

Download A Mind for Mathematics PDF Online Free

Author :
Publisher :
ISBN 13 : 9781943874002
Total Pages : 0 pages
Book Rating : 4.8/5 (74 download)

DOWNLOAD NOW!


Book Synopsis A Mind for Mathematics by : Nanci N. Smith

Download or read book A Mind for Mathematics written by Nanci N. Smith and published by . This book was released on 2016-11-14 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "In A Mind for Mathematics: Meaningful Teaching and Learning in Elementary Classrooms, Smith breaks down the complex components of teaching mathematics and divides them into practical strategies. She fuses mathematics research, useful classroom strategies, and examples from K-6 classrooms to help teachers influence students to work hard, grapple with challenging problems, and ultimately value mathematics." -- Back cover

A Mind For Numbers

Download A Mind For Numbers PDF Online Free

Author :
Publisher : Penguin
ISBN 13 : 1101621613
Total Pages : 228 pages
Book Rating : 4.1/5 (16 download)

DOWNLOAD NOW!


Book Synopsis A Mind For Numbers by : Barbara Oakley, PhD

Download or read book A Mind For Numbers written by Barbara Oakley, PhD and published by Penguin. This book was released on 2014-07-31 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: The companion book to COURSERA®'s wildly popular massive open online course "Learning How to Learn" Whether you are a student struggling to fulfill a math or science requirement, or you are embarking on a career change that requires a new skill set, A Mind for Numbers offers the tools you need to get a better grasp of that intimidating material. Engineering professor Barbara Oakley knows firsthand how it feels to struggle with math. She flunked her way through high school math and science courses, before enlisting in the army immediately after graduation. When she saw how her lack of mathematical and technical savvy severely limited her options—both to rise in the military and to explore other careers—she returned to school with a newfound determination to re-tool her brain to master the very subjects that had given her so much trouble throughout her entire life. In A Mind for Numbers, Dr. Oakley lets us in on the secrets to learning effectively—secrets that even dedicated and successful students wish they’d known earlier. Contrary to popular belief, math requires creative, as well as analytical, thinking. Most people think that there’s only one way to do a problem, when in actuality, there are often a number of different solutions—you just need the creativity to see them. For example, there are more than three hundred different known proofs of the Pythagorean Theorem. In short, studying a problem in a laser-focused way until you reach a solution is not an effective way to learn. Rather, it involves taking the time to step away from a problem and allow the more relaxed and creative part of the brain to take over. The learning strategies in this book apply not only to math and science, but to any subject in which we struggle. We all have what it takes to excel in areas that don't seem to come naturally to us at first, and learning them does not have to be as painful as we might think.

How Mathematicians Think

Download How Mathematicians Think PDF Online Free

Author :
Publisher : Princeton University Press
ISBN 13 : 0691145997
Total Pages : 424 pages
Book Rating : 4.6/5 (911 download)

DOWNLOAD NOW!


Book Synopsis How Mathematicians Think by : William Byers

Download or read book How Mathematicians Think written by William Byers and published by Princeton University Press. This book was released on 2010-05-02 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: To many outsiders, mathematicians appear to think like computers, grimly grinding away with a strict formal logic and moving methodically--even algorithmically--from one black-and-white deduction to another. Yet mathematicians often describe their most important breakthroughs as creative, intuitive responses to ambiguity, contradiction, and paradox. A unique examination of this less-familiar aspect of mathematics, How Mathematicians Think reveals that mathematics is a profoundly creative activity and not just a body of formalized rules and results. Nonlogical qualities, William Byers shows, play an essential role in mathematics. Ambiguities, contradictions, and paradoxes can arise when ideas developed in different contexts come into contact. Uncertainties and conflicts do not impede but rather spur the development of mathematics. Creativity often means bringing apparently incompatible perspectives together as complementary aspects of a new, more subtle theory. The secret of mathematics is not to be found only in its logical structure. The creative dimensions of mathematical work have great implications for our notions of mathematical and scientific truth, and How Mathematicians Think provides a novel approach to many fundamental questions. Is mathematics objectively true? Is it discovered or invented? And is there such a thing as a "final" scientific theory? Ultimately, How Mathematicians Think shows that the nature of mathematical thinking can teach us a great deal about the human condition itself.

Models of the Mind

Download Models of the Mind PDF Online Free

Author :
Publisher : Bloomsbury Publishing
ISBN 13 : 1472966457
Total Pages : 401 pages
Book Rating : 4.4/5 (729 download)

DOWNLOAD NOW!


Book Synopsis Models of the Mind by : Grace Lindsay

Download or read book Models of the Mind written by Grace Lindsay and published by Bloomsbury Publishing. This book was released on 2021-03-04 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: The human brain is made up of 85 billion neurons, which are connected by over 100 trillion synapses. For more than a century, a diverse array of researchers searched for a language that could be used to capture the essence of what these neurons do and how they communicate – and how those communications create thoughts, perceptions and actions. The language they were looking for was mathematics, and we would not be able to understand the brain as we do today without it. In Models of the Mind, author and computational neuroscientist Grace Lindsay explains how mathematical models have allowed scientists to understand and describe many of the brain's processes, including decision-making, sensory processing, quantifying memory, and more. She introduces readers to the most important concepts in modern neuroscience, and highlights the tensions that arise when the abstract world of mathematical modelling collides with the messy details of biology. Each chapter of Models of the Mind focuses on mathematical tools that have been applied in a particular area of neuroscience, progressing from the simplest building block of the brain – the individual neuron – through to circuits of interacting neurons, whole brain areas and even the behaviours that brains command. In addition, Grace examines the history of the field, starting with experiments done on frog legs in the late eighteenth century and building to the large models of artificial neural networks that form the basis of modern artificial intelligence. Throughout, she reveals the value of using the elegant language of mathematics to describe the machinery of neuroscience.

Limitless Minds: Interviews with Mathematicians

Download Limitless Minds: Interviews with Mathematicians PDF Online Free

Author :
Publisher : American Mathematical Soc.
ISBN 13 : 1470447916
Total Pages : 155 pages
Book Rating : 4.4/5 (74 download)

DOWNLOAD NOW!


Book Synopsis Limitless Minds: Interviews with Mathematicians by : Anthony Bonato

Download or read book Limitless Minds: Interviews with Mathematicians written by Anthony Bonato and published by American Mathematical Soc.. This book was released on 2018-10-24 with total page 155 pages. Available in PDF, EPUB and Kindle. Book excerpt: Every mathematician is a person with a story. Limitless Minds tells those stories in an engaging way by featuring interviews with twelve leading mathematicians. They were invited to answer some key questions such as: Who and what were the influences that pointed them towards mathematics? Why do mathematicians devote their lives to discovering new mathematics? How do they see mathematics evolving in the future? The book, written in an accessible style and enriched by dozens of images, offers a rare insight into the minds of mathematicians, provided in their own words. It will enlighten and inspire readers about the lives, passions, and discoveries of mathematicians.

Sleight of Mind

Download Sleight of Mind PDF Online Free

Author :
Publisher : MIT Press
ISBN 13 : 0262542293
Total Pages : 369 pages
Book Rating : 4.2/5 (625 download)

DOWNLOAD NOW!


Book Synopsis Sleight of Mind by : Matt Cook

Download or read book Sleight of Mind written by Matt Cook and published by MIT Press. This book was released on 2021-08-03 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: This “fun, brain-twisting book . . . will make you think” as it explores more than 75 paradoxes in mathematics, philosophy, physics, and the social sciences (Sean Carroll, New York Times–bestselling author of Something Deeply Hidden). Paradox is a sophisticated kind of magic trick. A magician’s purpose is to create the appearance of impossibility, to pull a rabbit from an empty hat. Yet paradox doesn’t require tangibles, like rabbits or hats. Paradox works in the abstract, with words and concepts and symbols, to create the illusion of contradiction. There are no contradictions in reality, but there can appear to be. In Sleight of Mind, Matt Cook and a few collaborators dive deeply into more than 75 paradoxes in mathematics, physics, philosophy, and the social sciences. As each paradox is discussed and resolved, Cook helps readers discover the meaning of knowledge and the proper formation of concepts—and how reason can dispel the illusion of contradiction. The journey begins with “a most ingenious paradox” from Gilbert and Sullivan’s Pirates of Penzance. Readers will then travel from Ancient Greece to cutting-edge laboratories, encounter infinity and its different sizes, and discover mathematical impossibilities inherent in elections. They will tackle conundrums in probability, induction, geometry, and game theory; perform “supertasks”; build apparent perpetual motion machines; meet twins living in different millennia; explore the strange quantum world—and much more.

The Mind of the Mathematician

Download The Mind of the Mathematician PDF Online Free

Author :
Publisher : JHU Press
ISBN 13 : 0801885876
Total Pages : 196 pages
Book Rating : 4.8/5 (18 download)

DOWNLOAD NOW!


Book Synopsis The Mind of the Mathematician by : Michael Fitzgerald

Download or read book The Mind of the Mathematician written by Michael Fitzgerald and published by JHU Press. This book was released on 2007-07-16 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publisher description

How Not to Be Wrong

Download How Not to Be Wrong PDF Online Free

Author :
Publisher : Penguin
ISBN 13 : 0143127535
Total Pages : 482 pages
Book Rating : 4.1/5 (431 download)

DOWNLOAD NOW!


Book Synopsis How Not to Be Wrong by : Jordan Ellenberg

Download or read book How Not to Be Wrong written by Jordan Ellenberg and published by Penguin. This book was released on 2015-05-26 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: “Witty, compelling, and just plain fun to read . . ." —Evelyn Lamb, Scientific American The Freakonomics of math—a math-world superstar unveils the hidden beauty and logic of the world and puts its power in our hands The math we learn in school can seem like a dull set of rules, laid down by the ancients and not to be questioned. In How Not to Be Wrong, Jordan Ellenberg shows us how terribly limiting this view is: Math isn’t confined to abstract incidents that never occur in real life, but rather touches everything we do—the whole world is shot through with it. Math allows us to see the hidden structures underneath the messy and chaotic surface of our world. It’s a science of not being wrong, hammered out by centuries of hard work and argument. Armed with the tools of mathematics, we can see through to the true meaning of information we take for granted: How early should you get to the airport? What does “public opinion” really represent? Why do tall parents have shorter children? Who really won Florida in 2000? And how likely are you, really, to develop cancer? How Not to Be Wrong presents the surprising revelations behind all of these questions and many more, using the mathematician’s method of analyzing life and exposing the hard-won insights of the academic community to the layman—minus the jargon. Ellenberg chases mathematical threads through a vast range of time and space, from the everyday to the cosmic, encountering, among other things, baseball, Reaganomics, daring lottery schemes, Voltaire, the replicability crisis in psychology, Italian Renaissance painting, artificial languages, the development of non-Euclidean geometry, the coming obesity apocalypse, Antonin Scalia’s views on crime and punishment, the psychology of slime molds, what Facebook can and can’t figure out about you, and the existence of God. Ellenberg pulls from history as well as from the latest theoretical developments to provide those not trained in math with the knowledge they need. Math, as Ellenberg says, is “an atomic-powered prosthesis that you attach to your common sense, vastly multiplying its reach and strength.” With the tools of mathematics in hand, you can understand the world in a deeper, more meaningful way. How Not to Be Wrong will show you how.

Mind and Matter

Download Mind and Matter PDF Online Free

Author :
Publisher : Penguin
ISBN 13 : 0735224889
Total Pages : 258 pages
Book Rating : 4.7/5 (352 download)

DOWNLOAD NOW!


Book Synopsis Mind and Matter by : John Urschel

Download or read book Mind and Matter written by John Urschel and published by Penguin. This book was released on 2020-05-12 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: A New York Times bestseller John Urschel, mathematician and former offensive lineman for the Baltimore Ravens, tells the story of a life balanced between two passions For John Urschel, what began as an insatiable appetite for puzzles as a child developed into mastery of the elegant systems and rules of mathematics. By the time he was thirteen, Urschel was auditing a college-level calculus course. But when he joined his high school football team, a new interest began to eclipse the thrill he felt in the classroom. Football challenged Urschel in an entirely different way, and he became addicted to the physical contact of the sport. After he accepted a scholarship to play at Penn State, his love of math was rekindled. As a Nittany Lion, he refused to sacrifice one passion for the other. Against the odds, Urschel found a way to manage his double life as a scholar and an athlete. While he was an offensive lineman for the Baltimore Ravens, he simultaneously pursued his PhD in mathematics at MIT. Weaving together two separate narratives, Urschel relives for us the most pivotal moments of his bifurcated life. He explains why, after Penn State was sanctioned for the acts of former coach Jerry Sandusky, he declined offers from prestigious universities and refused to abandon his team. He describes his parents’ different influences and their profound effect on him, and he opens up about the correlation between football and CTE and the risks he took for the game he loves. Equally at home discussing Georg Cantor’s work on infinities and Bill Belichick’s playbook, Urschel reveals how each challenge—whether on the field or in the classroom—has brought him closer to understanding the two different halves of his own life, and how reason and emotion, the mind and the body, are always working together. “So often, people want to divide the world into two,” he observes. “Matter and energy. Wave and particle. Athlete and mathematician. Why can’t something (or someone) be both?”

Mind, Meaning and Mathematics

Download Mind, Meaning and Mathematics PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 940158334X
Total Pages : 290 pages
Book Rating : 4.4/5 (15 download)

DOWNLOAD NOW!


Book Synopsis Mind, Meaning and Mathematics by : L. Haaparanta

Download or read book Mind, Meaning and Mathematics written by L. Haaparanta and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: At the turn of the century, Gottlob Frege and Edmund Husserl both participated in the discussion concerning the foundations of logic and mathematics. Since the 1960s, comparisons have been made between Frege's semantic views and Husserl's theory of intentional acts. In quite recent years, new approaches to the two philosophers' views have appeared. This collection of articles opens with the first English translation of Dagfinn Føllesdal's early classic on Husserl and Frege of 1958. The book brings together a number of new contributions by well-known authors and gives a survey of recent developments in the field. It shows that Husserl's thought is coming to occupy a central role in the philosophy of logic and mathematics, as well as in the philosophy of mind and cognitive science. The work is primarily meant for philosophers, especially for those working on the problems of language, logic, mathematics, and mind. It can also be used as a textbook in advanced courses in philosophy.

Minds on Mathematics

Download Minds on Mathematics PDF Online Free

Author :
Publisher : Heinemann Educational Books
ISBN 13 : 9780325044347
Total Pages : 0 pages
Book Rating : 4.0/5 (443 download)

DOWNLOAD NOW!


Book Synopsis Minds on Mathematics by : Wendy Ward Hoffer

Download or read book Minds on Mathematics written by Wendy Ward Hoffer and published by Heinemann Educational Books. This book was released on 2012 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Minds-on Mathematics explains the core elements of math workshop and provides detailed strategies for implementing the workshop structure, including Lesson Openers that engage students,Minilessons that model thinking and problem solving.

Emblems of Mind

Download Emblems of Mind PDF Online Free

Author :
Publisher :
ISBN 13 : 9780812727470
Total Pages : 0 pages
Book Rating : 4.7/5 (274 download)

DOWNLOAD NOW!


Book Synopsis Emblems of Mind by : Edward Rothstein

Download or read book Emblems of Mind written by Edward Rothstein and published by . This book was released on 1996 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: