" . . . that famous pedagogical method whereby one begins with the general and proceeds to the particular only after the student is too confused to understand even that anymore. " Michael Spivak This text was written as an antidote to topology courses such as Spivak It is meant to provide the student with an experience in geomet describes. ric topology. Traditionally, the only topology an undergraduate might see is point-set topology at a fairly abstract level. The next course the average stu dent would take would be a graduate course in algebraic topology, and such courses are commonly very homological in nature, providing quick access to current research, but not developing any intuition or geometric sense. I have tried in this text to provide the undergraduate with a pragmatic introduction to the field, including a sampling from point-set, geometric, and algebraic topology, and trying not to include anything that the student cannot immediately experience. The exercises are to be considered as an in tegral part of the text and, ideally, should be addressed when they are met, rather than at the end of a block of material. Many of them are quite easy and are intended to give the student practice working with the definitions and digesting the current topic before proceeding. The appendix provides a brief survey of the group theory needed.

Topology of Surfaces (Undergraduate Texts in Mathematics)

Science & Math

Kinsey, L.Christine

Earth Sciences

Springer

Symmetry, Shape, and Space uses the visual nature of geometry to involve students in discovering mathematics. The text allows students to study and analyze patterns for themselves, which in turn teaches creativity, as well as analytical and visualization skills. Varied content, activities, and examples lead students into an investigative process and provide the experience of doing and discovering mathematics as mathematicians do. Exercises requiring students to express their ideas in writing and to create drawings or physical models make math a hands-on experience. Assuming no mathematics beyond the high school level, Symmetry, Shape, and Space is the perfect introduction to mathematics in the liberal arts course of study, and it is designed so that each chapter is independent of the others, allowing great flexibility.

Symmetry, Shape, and Space: An Introduction to Mathematics Through Geometry

Moore, Teresa E.

Mathematics

wiley

This Student Lab Manual is to accompany Symmetry, Shape, and Space, which uses the visual nature of geometry to involve readers in discovering mathematics. The text allows readers to study and analyze patterns for themselves, which in turn teaches creativity, as well as analytical and visualization skills. Varied content, activities, and examples lead readers into an investigative process and provide the experience of doing and discovering mathematics as mathematicians do. Exercises requiring readers to express their ideas in writing and to create drawings or physical models make math a hands-on experience. Assuming no mathematics beyond the high school level, Symmetry, Shape, and Space is the perfect introduction to mathematics, and it is designed so that each chapter is independent of the others, allowing great flexibility.

Symmetry, Shape, and Space with The Geometer's Sketchpad Student Lab Manual

Symmetry, Shape, and Space uses the visual nature of geometry to involve readers in discovering mathematics. The text allows readers to study and analyze patterns for themselves, which in turn teaches creativity, as well as analytical and visualization skills. Varied content, activities, and examples lead readers into an investigative process and provide the experience of doing and discovering mathematics as mathematicians do. Exercises requiring readers to express their ideas in writing and to create drawings or physical models make math a hands-on experience. Assuming no mathematics beyond the high school level, Symmetry, Shape, and Space is the perfect introduction to mathematics, and it is designed so that each chapter is independent of the others, allowing great flexibility.

Symmetry, Shape, and Space: An Introduction to Mathematics Through Geometry with Geometer Sketchpad Set

This new book for mathematics and mathematics education majors helps students gain an appreciation of geometry and its importance in the history and development of mathematics. The material is presented in three parts. The first is devoted to a rigorous introduction of Euclidean geometry, the second covers various noneuclidean geometries, and the last part delves into symmetry and polyhedra. Historical contexts accompany each topic. Exercises and activities are interwoven with the text to enable the students to explore geometry. Some of the activities take advantage of geometric software so students - in particular, future teachers - gain a better understanding of its capabilities. Others explore the construction of simple models or use manipulatives allowing students to experience the hands-on, creative side of mathematics. While this text contains a rigorous mathematical presentation, key design features and activities allow it to be used successfully in mathematics for teachers courses as well.

Geometry and Symmetry

Prassidis, Efstratios

Geometry and Symmetry with Sketchpad Version 5 Set

Symmetry, Shape, and Space uses the visual nature of geometry to involve readers in discovering mathematics. The text allows readers to study and analyze patterns for themselves, which in turn teaches creativity, as well as analytical and visualization skills. Varied content, activities, and examples lead readers into an investigative process and provide the experience of doing and discovering mathematics as mathematicians do. Exercises requiring readers to express their ideas in writing and to create drawings or physical models make math a hands-on experience. Assuming no mathematics beyond the high school level, Symmetry, Shape, and Space is the perfect introduction to mathematics, and it is designed so that each chapter is independent of the others, allowing great flexibility.

Symmetry, Shape, and Space: An Introduction to Mathematics Through Geometry with Lab Manual and Geometer's Sketchpad V5 Set

Symmetry, Shape, and Space: An Introduction to Mathematics Through Geometry with Geometer's Sketchpad V5 Set

" . . . that famous pedagogical method whereby one begins with the general and proceeds to the particular only after the student is too confused to understand even that anymore. " Michael Spivak This text was written as an antidote to topology courses such as Spivak It is meant to provide the student with an experience in geomet­ describes. ric topology. Traditionally, the only topology an undergraduate might see is point-set topology at a fairly abstract level. The next course the average stu­ dent would take would be a graduate course in algebraic topology, and such courses are commonly very homological in nature, providing quick access to current research, but not developing any intuition or geometric sense. I have tried in this text to provide the undergraduate with a pragmatic introduction to the field, including a sampling from point-set, geometric, and algebraic topology, and trying not to include anything that the student cannot immediately experience. The exercises are to be considered as an in­ tegral part of the text and, ideally, should be addressed when they are met, rather than at the end of a block of material. Many of them are quite easy and are intended to give the student practice working with the definitions and digesting the current topic before proceeding. The appendix provides a brief survey of the group theory needed.

Springer-Verlag Berlin and Heidelberg GmbH & Co. K

See the best price to sell, buy, or rent books by Kinsey, L.Christine. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by Kinsey, L.Christine

See the best price to sell, buy, or rent books by Kinsey, L.Christine. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Topology of Surfaces (Undergraduate Texts in Mathematics)

Symmetry, Shape, and Space: An Introduction to Mathematics Through Geometry

Symmetry, Shape, and Space with The Geometer's Sketchpad Student Lab Manual

Symmetry, Shape, and Space: An Introduction to Mathematics Through Geometry with Geometer Sketchpad Set

Geometry and Symmetry

Geometry and Symmetry with Sketchpad Version 5 Set

Symmetry, Shape, and Space: An Introduction to Mathematics Through Geometry with Lab Manual and Geometer's Sketchpad V5 Set

Symmetry, Shape, and Space: An Introduction to Mathematics Through Geometry with Geometer's Sketchpad V5 Set

Topology of Surfaces (Undergraduate Texts in Mathematics)

Topology of Surfaces (Undergraduate Texts in Mathematics)