[PDF] Shapes And Geometries eBook

Author : M. C. Delfour
Publisher : SIAM
Page : 637 pages
File Size : 22,20 MB
Release : 2011-01-01
Category : Mathematics
ISBN : 0898719364

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Presents the latest groundbreaking theoretical foundation to shape optimization in a form accessible to mathematicians, scientists and engineers.

Author : Michel C. Delfour
Publisher : SIAM
Page : 512 pages
File Size : 43,39 MB
Release : 2001-01-01
Category : Mathematics
ISBN : 9780898714890

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The tools to use for problems where the modeling, optimization, or control variable is the structure of a geometric object.

Author : M. C. Delfour
Publisher : SIAM
Page : 638 pages
File Size : 13,39 MB
Release : 2011-01-01
Category : Mathematics
ISBN : 0898719828

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This considerably enriched new edition provides a self-contained presentation of the mathematical foundations, constructions, and tools necessary for studying problems where the modeling, optimization, or control variable is the shape or the structure of a geometric object.

Author : Shawn W. Walker
Publisher : SIAM
Page : 156 pages
File Size : 28,52 MB
Release : 2015-06-25
Category : Mathematics
ISBN : 1611973961

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Many things around us have properties that depend on their shape--for example, the drag characteristics of a rigid body in a flow. This self-contained overview of differential geometry explains how to differentiate a function (in the calculus sense) with respect to a "shape variable." This approach, which is useful for understanding mathematical models containing geometric partial differential equations (PDEs), allows readers to obtain formulas for geometric quantities (such as curvature) that are clearer than those usually offered in differential geometry texts. Readers will learn how to compute sensitivities with respect to geometry by developing basic calculus tools on surfaces and combining them with the calculus of variations. Several applications that utilize shape derivatives and many illustrations that help build intuition are included.

Author : Jordan Ellenberg
Publisher : Penguin
Page : 481 pages
File Size : 19,61 MB
Release : 2021-05-25
Category : Mathematics
ISBN : 1984879065

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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.

Author : Mathematical Association of America
Publisher : Cambridge University Press
Page : 572 pages
File Size : 22,54 MB
Release : 2003-01-09
Category : Mathematics
ISBN : 9780521531627

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Collection of popular articles on geometry from distinguished mathematicians and educationalists.

Author : Mary Rosenberg
Publisher : Classroom Complete Press
Page : 34 pages
File Size : 44,48 MB
Release : 2009-09-01
Category : Education
ISBN : 155319800X

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Help young students get familiar with basic shapes found in Geometry. Our resource provides task and word problems surrounding real-life scenarios. See how many circles, squares and rectangles you can find in the picture. Explain how you would sort the shapes you find. Use different shapes to make a robot or house. Find and name the different shapes. Go on the Internet to find some solid shapes that are made from basic shapes put together. Count the number of sides and corners on each shape. Describe where each shape is found in a picture. Follow instructions to draw shapes in specific locations. Transform a shape by turning it, sliding it, or flipping it. Draw the missing half of a symmetrical shape. The task sheets provide a leveled approach to learning, starting with prekindergarten and increasing in difficulty to grade 2. Aligned to your State Standards and meeting the concepts addressed by the NCTM standards, reproducible task sheets, drill sheets, review and answer key are included.

Author : Diane L. Herrmann
Publisher : CRC Press
Page : 444 pages
File Size : 50,80 MB
Release : 2012-10-18
Category : Mathematics
ISBN : 1466554657

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Through a careful treatment of number theory and geometry, Number, Shape, & Symmetry: An Introduction to Number Theory, Geometry, and Group Theory helps readers understand serious mathematical ideas and proofs. Classroom-tested, the book draws on the authors' successful work with undergraduate students at the University of Chicago, seventh