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Author: Andy Liu
Publisher: American Mathematical Soc.
ISBN: 1614441197
Category : Mathematics
Languages : en
Pages : 241
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Book Description
Arithmetical Wonderland is intended as an unorthodox mathematics textbook for students in elementary education, in a contents course offered by a mathematics department. The scope is deliberately restricted to cover only arithmetic, even though geometric elements are introduced whenever warranted. For example, what the Euclidean Algorithm for finding the greatest common divisors of two numbers has to do with Euclid is showcased. Many students find mathematics somewhat daunting. It is the [Author];'s belief that much of that is caused not by the subject itself, but by the language of mathematics. In this book, much of the discussion is in dialogues between Alice, of Wonderland fame, and the twins Tweedledum and Tweedledee who hailed from Through the Looking Glass. The boys are learning High Arithmetic or Elementary Number Theory from Alice, and the reader is carried along in this academic exploration. Thus many formal proofs are converted to soothing everyday language. Nevertheless, the book has considerable depth. It examines many arcane corners of the subject, and raises rather unorthodox questions. For instance, Alice tells the twins that six divided by three is two only because of an implicit assumption that division is supposed to be fair, whereas fairness does not come into addition, subtraction or multiplication. Some topics often not covered are introduced rather early, such as the concepts of divisibility and congruence.
Author: Andy Liu
Publisher: American Mathematical Soc.
ISBN: 1614441197
Category : Mathematics
Languages : en
Pages : 241
Get Book Here
Book Description
Arithmetical Wonderland is intended as an unorthodox mathematics textbook for students in elementary education, in a contents course offered by a mathematics department. The scope is deliberately restricted to cover only arithmetic, even though geometric elements are introduced whenever warranted. For example, what the Euclidean Algorithm for finding the greatest common divisors of two numbers has to do with Euclid is showcased. Many students find mathematics somewhat daunting. It is the [Author];'s belief that much of that is caused not by the subject itself, but by the language of mathematics. In this book, much of the discussion is in dialogues between Alice, of Wonderland fame, and the twins Tweedledum and Tweedledee who hailed from Through the Looking Glass. The boys are learning High Arithmetic or Elementary Number Theory from Alice, and the reader is carried along in this academic exploration. Thus many formal proofs are converted to soothing everyday language. Nevertheless, the book has considerable depth. It examines many arcane corners of the subject, and raises rather unorthodox questions. For instance, Alice tells the twins that six divided by three is two only because of an implicit assumption that division is supposed to be fair, whereas fairness does not come into addition, subtraction or multiplication. Some topics often not covered are introduced rather early, such as the concepts of divisibility and congruence.
Author: Thomas O'Conor Sloane
Publisher:
ISBN:
Category :
Languages : en
Pages : 208
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Book Description
Author: Thomas O'Conor Sloane
Publisher:
ISBN:
Category : Arithmetic
Languages : en
Pages : 214
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Book Description
Author: Roger B. Nelsen
Publisher: American Mathematical Soc.
ISBN: 1614441219
Category : Mathematics
Languages : en
Pages : 205
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Book Description
Proofs without words (PWWs) are figures or diagrams that help the reader see why a particular mathematical statement is true, and how one might begin to formally prove it true. PWWs are not new, many date back to classical Greece, ancient China, and medieval Europe and the Middle East. PWWs have been regular features of the MAA journals Mathematics Magazine and The College Mathematics Journal for many years, and the MAA published the collections of PWWs Proofs Without Words: Exercises in Visual Thinking in 1993 and Proofs Without Words II: More Exercises in Visual Thinking in 2000. This book is the third such collection of PWWs.
Author: Nathan Carter
Publisher: American Mathematical Soc.
ISBN: 1614441227
Category : Mathematics
Languages : en
Pages : 483
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Book Description
This text, by an award-winning [Author];, was designed to accompany his first-year seminar in the mathematics of computer graphics. Readers learn the mathematics behind the computational aspects of space, shape, transformation, color, rendering, animation, and modeling. The software required is freely available on the Internet for Mac, Windows, and Linux. The text answers questions such as these: How do artists build up realistic shapes from geometric primitives? What computations is my computer doing when it generates a realistic image of my 3D scene? What mathematical tools can I use to animate an object through space? Why do movies always look more realistic than video games? Containing the mathematics and computing needed for making their own 3D computer-generated images and animations, the text, and the course it supports, culminates in a project in which students create a short animated movie using free software. Algebra and trigonometry are prerequisites; calculus is not, though it helps. Programming is not required. Includes optional advanced exercises for students with strong backgrounds in math or computer science. Instructors interested in exposing their liberal arts students to the beautiful mathematics behind computer graphics will find a rich resource in this text.
Author: Susan Cunnington
Publisher:
ISBN:
Category : Arithmetic
Languages : en
Pages : 278
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Book Description
Author: Henry Bowers
Publisher: London : Toronto : Dent ; New York : Dover Publications
ISBN:
Category : Algebra
Languages : en
Pages : 356
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Book Description
Author: Anna Lorraine Guthrie
Publisher:
ISBN:
Category : Periodicals
Languages : en
Pages : 1152
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Book Description
Author: Anna Kornbluh
Publisher: University of Chicago Press
ISBN: 022665348X
Category : Literary Criticism
Languages : en
Pages : 230
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Book Description
In literary studies today, debates about the purpose of literary criticism and about the place of formalism within it continue to simmer across periods and approaches. Anna Kornbluh contributes to—and substantially shifts—that conversation in The Order of Forms by offering an exciting new category, political formalism, which she articulates through the co-emergence of aesthetic and mathematical formalisms in the nineteenth century. Within this framework, criticism can be understood as more affirmative and constructive, articulating commitments to aesthetic expression and social collectivity. Kornbluh offers a powerful argument that political formalism, by valuing forms of sociability like the city and the state in and of themselves, provides a better understanding of literary form and its political possibilities than approaches that view form as a constraint. To make this argument, she takes up the case of literary realism, showing how novels by Dickens, Brontë, Hardy, and Carroll engage mathematical formalism as part of their political imagining. Realism, she shows, is best understood as an exercise in social modeling—more like formalist mathematics than social documentation. By modeling society, the realist novel focuses on what it considers the most elementary features of social relations and generates unique political insights. Proposing both this new theory of realism and the idea of political formalism, this inspired, eye-opening book will have far-reaching implications in literary studies.
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 926
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Book Description
