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Author: S. M. Ulam
Publisher: Univ of California Press
ISBN: 0520322924
Category : Science
Languages : en
Pages : 588
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Book Description
During his forty-year association with the Los Alamos National Laboratory, mathematician Stanislaw Ulam wrote many Laboratory Reports, usually in collaboration with colleagues. Some of them remain classified to this day. The rest are gathered in this volume and for the first time are easily accesible to mathematicians, physical scientists, and historians. The timeliness of these papers is remarkable. They contain seminal ideas in such fields as nonlinear stochastic processes, parallel computation, cellular automata, and mathematical biology. The collection is of historical interest as well, During and after World War II, the complexity of problems at the frontiers of science surpassed any technology that had ever existed. Electronic computing machines had to be developed and new computing methods had to be invented based on the most abstract ideas from the foundations of mathematics and theoretical physics. To these problems and others in physics, astronomy, and biology, Ulam was able to bring both general insights and specific conceptual contributions. His fertile ideas were far ahead of their time, and ranged over many branches of science. In fact, his mathematical versatility fulfilled the statement of his friend and mentor, the great Polish mathematician Stefan Banach, who claimed that the very best mathematicians see "analogies between analogies." Introduced by A. R. Bednarek and Francoise Ulam, these Los Alamos reports represent a unique view of one of the twentieth century's intellectual masters and scientific pioneers. This title is part of UC Press's Voices Revived program, which commemorates University of California Press’s mission to seek out and cultivate the brightest minds and give them voice, reach, and impact. Drawing on a backlist dating to 1893, Voices Revived makes high-quality, peer-reviewed scholarship accessible once again using print-on-demand technology. This title was originally published in 1990.
Author: S. M. Ulam
Publisher: Univ of California Press
ISBN: 0520322924
Category : Science
Languages : en
Pages : 588
Get Book Here
Book Description
During his forty-year association with the Los Alamos National Laboratory, mathematician Stanislaw Ulam wrote many Laboratory Reports, usually in collaboration with colleagues. Some of them remain classified to this day. The rest are gathered in this volume and for the first time are easily accesible to mathematicians, physical scientists, and historians. The timeliness of these papers is remarkable. They contain seminal ideas in such fields as nonlinear stochastic processes, parallel computation, cellular automata, and mathematical biology. The collection is of historical interest as well, During and after World War II, the complexity of problems at the frontiers of science surpassed any technology that had ever existed. Electronic computing machines had to be developed and new computing methods had to be invented based on the most abstract ideas from the foundations of mathematics and theoretical physics. To these problems and others in physics, astronomy, and biology, Ulam was able to bring both general insights and specific conceptual contributions. His fertile ideas were far ahead of their time, and ranged over many branches of science. In fact, his mathematical versatility fulfilled the statement of his friend and mentor, the great Polish mathematician Stefan Banach, who claimed that the very best mathematicians see "analogies between analogies." Introduced by A. R. Bednarek and Francoise Ulam, these Los Alamos reports represent a unique view of one of the twentieth century's intellectual masters and scientific pioneers. This title is part of UC Press's Voices Revived program, which commemorates University of California Press’s mission to seek out and cultivate the brightest minds and give them voice, reach, and impact. Drawing on a backlist dating to 1893, Voices Revived makes high-quality, peer-reviewed scholarship accessible once again using print-on-demand technology. This title was originally published in 1990.
Author: Linda Brumbaugh
Publisher:
ISBN: 9781601441973
Category : Mathematics
Languages : en
Pages : 48
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Book Description
Author: Rick Wormeli
Publisher: Stenhouse Publishers
ISBN: 1571107584
Category : Education
Languages : en
Pages : 186
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Book Description
Metaphors show students how to make connections between the concrete and the abstract, prior knowledge and unfamiliar concepts, and language and image. But teachers must learn how to use metaphors and analogies strategically and for specific purposes, helping students discover and deconstruct effective comparisons. Metaphors & Analogies is filled with provocative illustrations of metaphors in action and practical tips.
Author: Lyn D. English
Publisher: Routledge
ISBN: 1136491147
Category : Education
Languages : en
Pages : 407
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Book Description
How we reason with mathematical ideas continues to be a fascinating and challenging topic of research--particularly with the rapid and diverse developments in the field of cognitive science that have taken place in recent years. Because it draws on multiple disciplines, including psychology, philosophy, computer science, linguistics, and anthropology, cognitive science provides rich scope for addressing issues that are at the core of mathematical learning. Drawing upon the interdisciplinary nature of cognitive science, this book presents a broadened perspective on mathematics and mathematical reasoning. It represents a move away from the traditional notion of reasoning as "abstract" and "disembodied", to the contemporary view that it is "embodied" and "imaginative." From this perspective, mathematical reasoning involves reasoning with structures that emerge from our bodily experiences as we interact with the environment; these structures extend beyond finitary propositional representations. Mathematical reasoning is imaginative in the sense that it utilizes a number of powerful, illuminating devices that structure these concrete experiences and transform them into models for abstract thought. These "thinking tools"--analogy, metaphor, metonymy, and imagery--play an important role in mathematical reasoning, as the chapters in this book demonstrate, yet their potential for enhancing learning in the domain has received little recognition. This book is an attempt to fill this void. Drawing upon backgrounds in mathematics education, educational psychology, philosophy, linguistics, and cognitive science, the chapter authors provide a rich and comprehensive analysis of mathematical reasoning. New and exciting perspectives are presented on the nature of mathematics (e.g., "mind-based mathematics"), on the array of powerful cognitive tools for reasoning (e.g., "analogy and metaphor"), and on the different ways these tools can facilitate mathematical reasoning. Examples are drawn from the reasoning of the preschool child to that of the adult learner.
Author: S. M. Ulam
Publisher: Univ of California Press
ISBN: 0520364996
Category : Mathematics
Languages : en
Pages : 588
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Book Description
During his forty-year association with the Los Alamos National Laboratory, mathematician Stanislaw Ulam wrote many Laboratory Reports, usually in collaboration with colleagues. Some of them remain classified to this day. The rest are gathered in this volume and for the first time are easily accesible to mathematicians, physical scientists, and historians. The timeliness of these papers is remarkable. They contain seminal ideas in such fields as nonlinear stochastic processes, parallel computation, cellular automata, and mathematical biology. The collection is of historical interest as well, During and after World War II, the complexity of problems at the frontiers of science surpassed any technology that had ever existed. Electronic computing machines had to be developed and new computing methods had to be invented based on the most abstract ideas from the foundations of mathematics and theoretical physics. To these problems and others in physics, astronomy, and biology, Ulam was able to bring both general insights and specific conceptual contributions. His fertile ideas were far ahead of their time, and ranged over many branches of science. In fact, his mathematical versatility fulfilled the statement of his friend and mentor, the great Polish mathematician Stefan Banach, who claimed that the very best mathematicians see "analogies between analogies." Introduced by A. R. Bednarek and Francoise Ulam, these Los Alamos reports represent a unique view of one of the twentieth century's intellectual masters and scientific pioneers. This title is part of UC Press's Voices Revived program, which commemorates University of California Press’s mission to seek out and cultivate the brightest minds and give them voice, reach, and impact. Drawing on a backlist dating to 1893, Voices Revived makes high-quality, peer-reviewed scholarship accessible once again using print-on-demand technology. This title was originally published in 1990.
Author: Ruth Foster
Publisher: Teacher Created Resources
ISBN: 1420631683
Category : Education
Languages : en
Pages : 66
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Book Description
Approach analogies as puzzles. To solve them, students need to use cognitive processes and critical-thinking skills. These exercises present word and/or picture relationships in several different ways. The goal is to develop skills in visual imagery, reading comprehension, vocabulary development, reasoning and test-taking.
Author: Darin Beigie
Publisher:
ISBN: 9781601447012
Category :
Languages : en
Pages : 48
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Book Description
Author: Nick Winkelman
Publisher: Human Kinetics Publishers
ISBN: 1492567361
Category : Business & Economics
Languages : en
Pages : 337
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Book Description
The Language of Coaching examines how instruction, feedback, and cueing can have a significant impact on training and performance outcomes. The book offers a comprehensive collection of cueing frameworks to help coaches better communicate with athletes in any sport.
Author: Bonnie Risby
Publisher:
ISBN: 9781593630478
Category : Crafts & Hobbies
Languages : en
Pages : 32
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Book Description
This is it! Here's the perfect venue for intermediate teachers to combine thinking skills and vocabulary development. Step into the 21st century with lessons that not only present students with analogies, but also provide them with instructions on how to best solve these verbal puzzles. An analogy is a comparison between two things. It points out the similarities or likenesses between things that might be different in all other respects. These exercises not only build thinking skills and make students more flexible and analytical; they also enhance vocabulary and writing skills. Intermediate students will get a jump on thinking skills and test-taking strategies with these sure-to-please exercises. Whether this book is their first encounter with analogies or whether they are veterans with a great deal of experience, Analogies for the 21st Century gives them the tools they need in a fun-to-use format. It provides thinking strategies to help recognize the unique relationships between paired items and how these relationships can be replicated. Each lesson introduces new types of analogies, gives examples, and offers hints on solving the analogies. Vocabulary reflects today's culture, and helpful hints guide students to build skills that will allow them to perform better on tests.
Author: John C. Oxtoby
Publisher: Springer Science & Business Media
ISBN: 1468493396
Category : Mathematics
Languages : en
Pages : 115
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Book Description
In this edition, a set of Supplementary Notes and Remarks has been added at the end, grouped according to chapter. Some of these call attention to subsequent developments, others add further explanation or additional remarks. Most of the remarks are accompanied by a briefly indicated proof, which is sometimes different from the one given in the reference cited. The list of references has been expanded to include many recent contributions, but it is still not intended to be exhaustive. John C. Oxtoby Bryn Mawr, April 1980 Preface to the First Edition This book has two main themes: the Baire category theorem as a method for proving existence, and the "duality" between measure and category. The category method is illustrated by a variety of typical applications, and the analogy between measure and category is explored in all of its ramifications. To this end, the elements of metric topology are reviewed and the principal properties of Lebesgue measure are derived. It turns out that Lebesgue integration is not essential for present purposes-the Riemann integral is sufficient. Concepts of general measure theory and topology are introduced, but not just for the sake of generality. Needless to say, the term "category" refers always to Baire category; it has nothing to do with the term as it is used in homological algebra.
