The Mathematicians Mind PDF Download
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Author | : Jacques Hadamard |
Publisher | : Princeton University Press |
Total Pages | : 168 |
Release | : 2020-05-05 |
Genre | : Mathematics |
ISBN | : 0691212902 |
Download The Mathematician's Mind Book in PDF, ePub and Kindle
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.
Author | : Jacques Hadamard |
Publisher | : Read Books Ltd |
Total Pages | : 130 |
Release | : 2011-10-25 |
Genre | : Mathematics |
ISBN | : 1447493273 |
Download An Essay on the Psychology of Invention in the Mathematical Field Book in PDF, ePub and Kindle
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.
Author | : David Ruelle |
Publisher | : Princeton University Press |
Total Pages | : 180 |
Release | : 2007-08-05 |
Genre | : Mathematics |
ISBN | : 9780691129822 |
Download The Mathematician's Brain Book in PDF, ePub and Kindle
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.
Author | : Peter Winkler |
Publisher | : CRC Press |
Total Pages | : 159 |
Release | : 2007-08-17 |
Genre | : Mathematics |
ISBN | : 1568815077 |
Download Mathematical Mind-Benders Book in PDF, ePub and Kindle
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 is for lovers of mathematics, lovers of puzzles, lovers of a challenge. Most of all, it is for those who think that the world of mathematics is orderly, logical, and intuitive-and are ready to learn otherwise!
Author | : Rudy Rucker |
Publisher | : Courier Corporation |
Total Pages | : 337 |
Release | : 2013-11-21 |
Genre | : Computers |
ISBN | : 0486492281 |
Download Mind Tools Book in PDF, ePub and Kindle
Originally published: Boston: Houghton Mifflin, 1987.
Author | : Nanci N. Smith |
Publisher | : |
Total Pages | : 0 |
Release | : 2016-11-14 |
Genre | : Education |
ISBN | : 9781943874002 |
Download A Mind for Mathematics Book in PDF, ePub and Kindle
"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
Author | : Grace Lindsay |
Publisher | : Bloomsbury Publishing |
Total Pages | : 401 |
Release | : 2021-03-04 |
Genre | : Science |
ISBN | : 1472966457 |
Download Models of the Mind Book in PDF, ePub and Kindle
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.
Author | : Matt Cook |
Publisher | : MIT Press |
Total Pages | : 369 |
Release | : 2021-08-03 |
Genre | : Mathematics |
ISBN | : 0262542293 |
Download Sleight of Mind Book in PDF, ePub and Kindle
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.
Author | : Alexander George |
Publisher | : Oxford University Press, USA |
Total Pages | : 218 |
Release | : 1994 |
Genre | : Mathematics |
ISBN | : 0195079299 |
Download Mathematics and Mind Book in PDF, ePub and Kindle
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.
Author | : Barbara A. Oakley |
Publisher | : TarcherPerigee |
Total Pages | : 338 |
Release | : 2014-07-31 |
Genre | : Mathematics |
ISBN | : 039916524X |
Download A Mind for Numbers Book in PDF, ePub and Kindle
Engineering professor Barbara Oakley knows firsthand how it feels to struggle with math. In her book, she offers you the tools needed to get a better grasp of that intimidating but inescapable field.