A New Look at Geometry

A New Look at Geometry PDF Author: Irving Adler
Publisher: Courier Corporation
ISBN: 0486320499
Category : Mathematics
Languages : en
Pages : 416

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Book Description
Richly detailed survey of the evolution of geometrical ideas and development of concepts of modern geometry: projective, Euclidean, and non-Euclidean geometry; role of geometry in Newtonian physics, calculus, relativity. Over 100 exercises with answers. 1966 edition.

A New Look at Geometry

A New Look at Geometry PDF Author: Irving Adler
Publisher: Courier Corporation
ISBN: 0486320499
Category : Mathematics
Languages : en
Pages : 416

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Book Description
Richly detailed survey of the evolution of geometrical ideas and development of concepts of modern geometry: projective, Euclidean, and non-Euclidean geometry; role of geometry in Newtonian physics, calculus, relativity. Over 100 exercises with answers. 1966 edition.

Geometry of Design

Geometry of Design PDF Author: Kimberly Elam
Publisher: Princeton Architectural Press
ISBN: 9781568982496
Category : Architecture
Languages : en
Pages : 130

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Book Description
This work takes a close look at a broad range of 20th-century examples of design, architecture and illustration, revealing underlying geometric structures in their compositions.

Shape

Shape PDF Author: Jordan Ellenberg
Publisher: Penguin
ISBN: 1984879065
Category : Mathematics
Languages : en
Pages : 481

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Book Description
An instant New York Times Bestseller! “Unreasonably entertaining . . . reveals how geometric thinking can allow for everything from fairer American elections to better pandemic planning.” —The New York Times From the New York Times-bestselling author of How Not to Be Wrong—himself a world-class geometer—a far-ranging exploration of the power of geometry, which turns out to help us think better about practically everything. How should a democracy choose its representatives? How can you stop a pandemic from sweeping the world? How do computers learn to play Go, and why is learning Go so much easier for them than learning to read a sentence? Can ancient Greek proportions predict the stock market? (Sorry, no.) What should your kids learn in school if they really want to learn to think? All these are questions about geometry. For real. If you're like most people, geometry is a sterile and dimly remembered exercise you gladly left behind in the dust of ninth grade, along with your braces and active romantic interest in pop singers. If you recall any of it, it's plodding through a series of miniscule steps only to prove some fact about triangles that was obvious to you in the first place. That's not geometry. Okay, it is geometry, but only a tiny part, which has as much to do with geometry in all its flush modern richness as conjugating a verb has to do with a great novel. Shape reveals the geometry underneath some of the most important scientific, political, and philosophical problems we face. Geometry asks: Where are things? Which things are near each other? How can you get from one thing to another thing? Those are important questions. The word "geometry"comes from the Greek for "measuring the world." If anything, that's an undersell. Geometry doesn't just measure the world—it explains it. Shape shows us how.

A New Look at Geometry. With Diagrams by Ruth Adler

A New Look at Geometry. With Diagrams by Ruth Adler PDF Author: Irving ADLER
Publisher:
ISBN:
Category :
Languages : en
Pages : 414

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Book Description


The Four Pillars of Geometry

The Four Pillars of Geometry PDF Author: John Stillwell
Publisher: Springer Science & Business Media
ISBN: 0387255303
Category : Mathematics
Languages : en
Pages : 240

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Book Description
This book is unique in that it looks at geometry from 4 different viewpoints - Euclid-style axioms, linear algebra, projective geometry, and groups and their invariants Approach makes the subject accessible to readers of all mathematical tastes, from the visual to the algebraic Abundantly supplemented with figures and exercises

Excursions in Geometry

Excursions in Geometry PDF Author: Charles Stanley Ogilvy
Publisher: Courier Corporation
ISBN: 0486265307
Category : Mathematics
Languages : en
Pages : 191

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Book Description
A straightedge, compass, and a little thought are all that's needed to discover the intellectual excitement of geometry. Harmonic division and Apollonian circles, inversive geometry, hexlet, Golden Section, more. 132 illustrations.

Foundations of Geometry

Foundations of Geometry PDF Author: C. R. Wylie
Publisher: Courier Corporation
ISBN: 0486472140
Category : Mathematics
Languages : en
Pages : 352

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Book Description
Explains geometric theories and shows many examples.

Viewpoints

Viewpoints PDF Author: Marc Frantz
Publisher: Princeton University Press
ISBN: 9781400839056
Category : Mathematics
Languages : en
Pages : 248

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Book Description
An undergraduate textbook devoted exclusively to relationships between mathematics and art, Viewpoints is ideally suited for math-for-liberal-arts courses and mathematics courses for fine arts majors. The textbook contains a wide variety of classroom-tested activities and problems, a series of essays by contemporary artists written especially for the book, and a plethora of pedagogical and learning opportunities for instructors and students. Viewpoints focuses on two mathematical areas: perspective related to drawing man-made forms and fractal geometry related to drawing natural forms. Investigating facets of the three-dimensional world in order to understand mathematical concepts behind the art, the textbook explores art topics including comic, anamorphic, and classical art, as well as photography, while presenting such mathematical ideas as proportion, ratio, self-similarity, exponents, and logarithms. Straightforward problems and rewarding solutions empower students to make accurate, sophisticated drawings. Personal essays and short biographies by contemporary artists are interspersed between chapters and are accompanied by images of their work. These fine artists--who include mathematicians and scientists--examine how mathematics influences their art. Accessible to students of all levels, Viewpoints encourages experimentation and collaboration, and captures the essence of artistic and mathematical creation and discovery. Classroom-tested activities and problem solving Accessible problems that move beyond regular art school curriculum Multiple solutions of varying difficulty and applicability Appropriate for students of all mathematics and art levels Original and exclusive essays by contemporary artists Forthcoming: Instructor's manual (available only to teachers)

A First Course in Geometry

A First Course in Geometry PDF Author: Edward T Walsh
Publisher: Courier Corporation
ISBN: 048679668X
Category : Mathematics
Languages : en
Pages : 400

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Book Description
Suitable for college courses, this introductory text covers the language of mathematics, geometric sets of points, separation and angles, triangles, parallel lines, similarity, polygons and area, circles, and space and coordinate geometry. 1974 edition.

Knife Engineering

Knife Engineering PDF Author: Larrin Thomas
Publisher:
ISBN: 9781087902159
Category :
Languages : en
Pages : 282

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Book Description
An in-depth exploration of the effects of different steels, heat treatments, and edge geometries on knife performance. This book provides ratings for toughness, edge retention, and corrosion resistance for all of the popular knife steels. Micrographs of over 50 steels. Specific recommended heat treatments for each steel. And answers to questions like: 1) Does a thinner or thicker edge last longer? 2) What heat treatment leads to the best performance? 3) Are there performance benefits to forging blades? 4) Should I use stainless or carbon steel? All of these questions and more are answered by a metallurgist who grew up around the knife industry.