Experiencing Geometry on Plane and Sphere
Author: David Wilson Henderson
Publisher:
Published: 1994
Total Pages: 158
ISBN-13:
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Experiencing Geometry
Author: David Wilson Henderson
Publisher: Prentice Hall
Published: 2005
Total Pages: 438
ISBN-13:
DOWNLOAD EBOOKThe distinctive approach of Henderson and Taimina's volume stimulates readers to develop a broader, deeper, understanding of mathematics through active experience--including discovery, discussion, writing fundamental ideas and learning about the history of those ideas. A series of interesting, challenging problems encourage readers to gather and discuss their reasonings and understanding. The volume provides an understanding of the possible shapes of the physical universe. The authors provide extensive information on historical strands of geometry, straightness on cylinders and cones and hyperbolic planes, triangles and congruencies, area and holonomy, parallel transport, SSS, ASS, SAA, and AAA, parallel postulates, isometries and patterns, dissection theory, square roots, pythagoras and similar triangles, projections of a sphere onto a plane, inversions in circles, projections (models) of hyperbolic planes, trigonometry and duality, 3-spheres and hyperbolic 3-spaces and polyhedra. For mathematics educators and other who need to understand the meaning of geometry.
Experiencing Geometry, Physics, and Biology
Author: Georg Glaeser
Publisher: Walter de Gruyter GmbH & Co KG
Published: 2023-11-20
Total Pages: 248
ISBN-13: 3111365786
DOWNLOAD EBOOKUnderstanding geometry, physics, and biology This is a highly informative and richly illustrated nonfiction book that conveys scientific content in a clear and understandable way. Drawing on numerous examples, it explains topics from geometry, physics, and biology and points out commonalities between the disciplines. The book contains approx. 300 links to video animations and is accompanied by a freely accessible interactive software that allows readers to delve even deeper into the content covered in the book. The content, videos, and software were developed by the Department of Geometry at the University of Applied Arts Vienna. Georg Glaeser’s research focuses particularly on interdisciplinary mathematical and biological issues, and he worked for many years with Franz Gruber, who was highly adept at visualizing complex issues. Includes links to around 300 video animations, accessible via QR codes Compact, informative, and easy-to-understand explanations of scientific issues in the disciplines of geometry, physics, and biology With numerous images and illustrations
Experiencing Geometry
Author: David Wilson Henderson
Publisher:
Published: 2001
Total Pages: 392
ISBN-13:
DOWNLOAD EBOOKFor undergraduate-level courses in Geometry. Henderson invites students to explore the basic ideas of geometry beyond the formulation of proofs. The text conveys a distinctive approach, stimulating students to develop a broader, deeper understanding of mathematics through active participation including discovery, discussion, and writing about fundamental ideas. It provides a series of interesting, challenging problems, then encourages students to gather their reasonings and understandings of each problem and discuss their findings in an open forum.
Crocheting Adventures with Hyperbolic Planes
Author: Daina Taimina
Publisher: CRC Press
Published: 2018-02-19
Total Pages: 865
ISBN-13: 1351402196
DOWNLOAD EBOOKWinner, Euler Book Prize, awarded by the Mathematical Association of America. With over 200 full color photographs, this non-traditional, tactile introduction to non-Euclidean geometries also covers early development of geometry and connections between geometry, art, nature, and sciences. For the crafter or would-be crafter, there are detailed instructions for how to crochet various geometric models and how to use them in explorations. New to the 2nd Edition; Daina Taimina discusses her own adventures with the hyperbolic planes as well as the experiences of some of her readers. Includes recent applications of hyperbolic geometry such as medicine, architecture, fashion & quantum computing.
Spherical Geometry and Its Applications
Author: Marshall A. Whittlesey
Publisher: CRC Press
Published: 2019-11-14
Total Pages: 262
ISBN-13: 1000627527
DOWNLOAD EBOOKSpherical Geometry and Its Applications introduces spherical geometry and its practical applications in a mathematically rigorous form. The text can serve as a course in spherical geometry for mathematics majors. Readers from various academic backgrounds can comprehend various approaches to the subject. The book introduces an axiomatic system for spherical geometry and uses it to prove the main theorems of the subject. It also provides an alternate approach using quaternions. The author illustrates how a traditional axiomatic system for plane geometry can be modified to produce a different geometric world – but a geometric world that is no less real than the geometric world of the plane. Features: A well-rounded introduction to spherical geometry Provides several proofs of some theorems to appeal to larger audiences Presents principal applications: the study of the surface of the earth, the study of stars and planets in the sky, the study of three- and four-dimensional polyhedra, mappings of the sphere, and crystallography Many problems are based on propositions from the ancient text Sphaerica of Menelaus
The Math We Need to Know and Do in Grades 69
Author: Pearl Gold Solomon
Publisher: Corwin Press
Published: 2007-05-24
Total Pages: 336
ISBN-13: 1412917263
DOWNLOAD EBOOKOffers sixth- through ninth-grade math teachers a step-by-step approach to planning standards-based curriculum, instruction, and assessment, with sample activities, problems, and assessments and expert advice for every stage of the process.
The Math We Need to Know and Do in Grades PreK5
Author: Pearl Gold Solomon
Publisher: Corwin Press
Published: 2006-06-14
Total Pages: 236
ISBN-13: 9781412917209
DOWNLOAD EBOOKOffers elementary math teachers a step-by-step approach to planning standards-based curriculum, instruction, and assessment, with sample activities, problems, and assessments and expert advice for every stage of the process.
Geometry and Symmetry
Author: L. Christine Kinsey
Publisher: John Wiley & Sons
Published: 2010-04-19
Total Pages: 960
ISBN-13: 0470499494
DOWNLOAD EBOOKThis 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.
Divided Spheres
Author: Edward S. Popko
Publisher: CRC Press
Published: 2012-07-30
Total Pages: 534
ISBN-13: 1466504293
DOWNLOAD EBOOKThis well-illustrated book—in color throughout—presents a thorough introduction to the mathematics of Buckminster Fuller’s invention of the geodesic dome, which paved the way for a flood of practical applications as diverse as weather forecasting and fish farms. The author explains the principles of spherical design and the three main categories of subdivision based on geometric solids (polyhedra). He illustrates how basic and advanced CAD techniques apply to spherical subdivision and covers modern applications in product design, engineering, science, games, and sports balls.
