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Author : M. C. Delfour,J.-P. Zolesio
Publisher : SIAM
Page : 637 pages
File Size : 41,7 Mb
Release : 2011-01-01
Category : Mathematics
ISBN : 9780898719369
Presents the latest groundbreaking theoretical foundation to shape optimization in a form accessible to mathematicians, scientists and engineers.
Author : Michel C. Delfour,J. P. Zolesio
Publisher : SIAM
Page : 512 pages
File Size : 41,6 Mb
Release : 2001-01-01
Category : Mathematics
ISBN : 0898714893
The tools to use for problems where the modeling, optimization, or control variable is the structure of a geometric object.
Author : M. C. Delfour,J.-P. Zolesio
Publisher : SIAM
Page : 638 pages
File Size : 55,7 Mb
Release : 2011-01-01
Category : Mathematics
ISBN : 9780898719826
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 : 152 pages
File Size : 44,9 Mb
Release : 2015-06-25
Category : Mathematics
ISBN : 9781611973969
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 : 48,6 Mb
Release : 2021-05-25
Category : Mathematics
ISBN : 9781984879066
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 : 49,8 Mb
Release : 2003-01-09
Category : Mathematics
ISBN : 0521531624
Collection of popular articles on geometry from distinguished mathematicians and educationalists.
Author : Solveig Paulson Russell
Publisher : Unknown
Page : 31 pages
File Size : 50,5 Mb
Release : 1970
Category : Geometry
ISBN : 0858350084
Author : L.Christine Kinsey,Teresa E. Moore
Publisher : Springer Science & Business Media
Page : 524 pages
File Size : 47,6 Mb
Release : 2006-05-09
Category : Mathematics
ISBN : 1930190093
This book will appeal to at least three groups of readers: prospective high school teachers, liberal arts students, and parents whose children are studying high school or college math. It is modern in its selection of topics, and in the learning models used by the authors. The book covers some exciting but non-traditional topics from the subject area of geometry. It is also intended for undergraduates and tries to engage their interest in mathematics. Many innovative pedagogical modes are used throughout.
Author : Anonim
Publisher : Unknown
Page : 97 pages
File Size : 43,8 Mb
Release : 2006
Category : Geometry
ISBN : OCLC:144521072
Author : Alison Rodger,Mark Rodger
Publisher : Butterworth-Heinemann
Page : 203 pages
File Size : 50,7 Mb
Release : 2014-05-16
Category : Science
ISBN : 9781483106038
Molecular Geometry discusses topics relevant to the arrangement of atoms. The book is comprised of seven chapters that tackle several areas of molecular geometry. Chapter 1 reviews the definition and determination of molecular geometry, while Chapter 2 discusses the unified view of stereochemistry and stereochemical changes. Chapter 3 covers the geometry of molecules of second row atoms, and Chapter 4 deals with the main group elements beyond the second row. The book also talks about the complexes of transition metals and f-block elements, and then covers the organometallic compounds and transition metal clusters. The last chapter tackles the consequences of small, local variations in geometry. The text will be of great use to chemists who primarily deal with the properties of molecules and atoms.
Author : Olivier Faugeras,Quang-Tuan Luong,Théo Papadopoulo
Publisher : MIT Press
Page : 682 pages
File Size : 54,8 Mb
Release : 2001
Category : Computers
ISBN : 0262562049
This book formalizes and analyzes the relations between multiple views of a scene from the perspective of various types of geometries. A key feature is that it considers Euclidean and affine geometries as special cases of projective geometry. Over the last forty years, researchers have made great strides in elucidating the laws of image formation, processing, and understanding by animals, humans, and machines. This book describes the state of knowledge in one subarea of vision, the geometric laws that relate different views of a scene. Geometry, one of the oldest branches of mathematics, is the natural language for describing three-dimensional shapes and spatial relations. Projective geometry, the geometry that best models image formation, provides a unified framework for thinking about many geometric problems are relevant to vision. The book formalizes and analyzes the relations between multiple views of a scene from the perspective of various types of geometries. A key feature is that it considers Euclidean and affine geometries as special cases of projective geometry. Images play a prominent role in computer communications. Producers and users of images, in particular three-dimensional images, require a framework for stating and solving problems. The book offers a number of conceptual tools and theoretical results useful for the design of machine vision algorithms. It also illustrates these tools and results with many examples of real applications.
Author : Moira Anderson
Publisher : Teacher Created Materials
Page : 32 pages
File Size : 53,6 Mb
Release : 2008-10-10
Category : Juvenile Nonfiction
ISBN : 074390897X
Identify three-dimensional shapes all around the world! This vibrant title gives readers practice identifying familiar shapes like cones, cylinders, pentagons, polygons, and prisms, while familiarizing them with STEM themes and more advanced geometry concepts. Children will learn more about vertices, symmetry, and bases. With each shape, this book gives readers information about an example of the shape, be it a building, a honeycomb, or a tree trunk! With an accessible glossary, clear mathematical diagrams, practical examples, and easy-to-read text, readers will have all the tools they need to improve their geometry skills and find shapes on their own!
Author : Julia Wall
Publisher : Teacher Created Materials
Page : 33 pages
File Size : 41,6 Mb
Release : 2008-06-05
Category : Juvenile Nonfiction
ISBN : 9780743908825
Learn about two-dimensional shapes by identifying them in famous works of art! Young readers will practice and enhance their geometry and STEM skills, identifying shapes and familiarizing themselves with new concepts and vocabulary terms like angles, tangrams, and lines of symmetry. This book has been translated into Spanish and provides clear diagrams and vibrant examples that will teach children about geometry and art simultaneously, while making them feel more confident in their mathematical skills. Follow-up activities encourage children to use two-dimensional shapes to make their own geometric works of art!
Author : Jordan Ellenberg
Publisher : Penguin UK
Page : 354 pages
File Size : 51,6 Mb
Release : 2021-05-25
Category : Mathematics
ISBN : 9780241413531
The international bestseller - a whip-smart, entertaining exploration of the geometry that underlies our world, from the author of How Not to Be Wrong How should a democracy choose its representatives? How can you stop a pandemic from sweeping the world? How do computers learn to play chess? 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? The answers to all these questions can be found in geometry. If you're like most people, geometry is a dimly-remembered exercise, handed down from the ancients, that you gladly left behind in school. It seemed to be a tortuous way of proving some fact about triangles that was obvious to you in the first place. That's not geometry. OK, it is geometry, but only a tiny part, that has as much to do with the modern, fast-moving discipline as conjugating a verb has to do with a great novel. In Shape, Sunday Times-bestselling author Jordan Ellenberg reveals the geometry underneath some of the most important scientific, political, and philosophical problems we face, from the spread of coronavirus to rise of machine learning. The word 'geometry,' from the Greek, means 'measuring the world.' But geometry doesn't just measure the world - it explains it. Shape shows us how.