Discovering Geometry
Author: Michael Serra
Publisher:
Published: 2003-03-01
Total Pages: 34
ISBN-13: 9781559535885
DOWNLOAD EBOOK →Author: Michael Serra
Publisher:
Published: 2003-03-01
Total Pages: 34
ISBN-13: 9781559535885
DOWNLOAD EBOOK →Author: Michael Hvidsten
Publisher: CRC Press
Published: 2016-12-08
Total Pages: 439
ISBN-13: 1498760988
DOWNLOAD EBOOK →Exploring Geometry, Second Edition promotes student engagement with the beautiful ideas of geometry. Every major concept is introduced in its historical context and connects the idea with real-life. A system of experimentation followed by rigorous explanation and proof is central. Exploratory projects play an integral role in this text. Students develop a better sense of how to prove a result and visualize connections between statements, making these connections real. They develop the intuition needed to conjecture a theorem and devise a proof of what they have observed. Features: Second edition of a successful textbook for the first undergraduate course Every major concept is introduced in its historical context and connects the idea with real life Focuses on experimentation Projects help enhance student learning All major software programs can be used; free software from author
Author: Michael Serra
Publisher:
Published: 2008
Total Pages: 859
ISBN-13: 9781559538831
DOWNLOAD EBOOK →Author: Gerard A. Venema
Publisher: American Mathematical Soc.
Published: 2013-12-31
Total Pages: 147
ISBN-13: 0883857847
DOWNLOAD EBOOK →This book provides an inquiry-based introduction to advanced Euclidean geometry. It utilizes dynamic geometry software, specifically GeoGebra, to explore the statements and proofs of many of the most interesting theorems in the subject. Topics covered include triangle centers, inscribed, circumscribed, and escribed circles, medial and orthic triangles, the nine-point circle, duality, and the theorems of Ceva and Menelaus, as well as numerous applications of those theorems. The final chapter explores constructions in the Poincare disk model for hyperbolic geometry. The book can be used either as a computer laboratory manual to supplement an undergraduate course in geometry or as a stand-alone introduction to advanced topics in Euclidean geometry. The text consists almost entirely of exercises (with hints) that guide students as they discover the geometric relationships for themselves. First the ideas are explored at the computer and then those ideas are assembled into a proof of the result under investigation. The goals are for the reader to experience the joy of discovering geometric relationships, to develop a deeper understanding of geometry, and to encourage an appreciation for the beauty of Euclidean geometry.
Author: Harold Abelson
Publisher: MIT Press
Published: 1986-07-09
Total Pages: 502
ISBN-13: 9780262510370
DOWNLOAD EBOOK →Turtle Geometry presents an innovative program of mathematical discovery that demonstrates how the effective use of personal computers can profoundly change the nature of a student's contact with mathematics. Using this book and a few simple computer programs, students can explore the properties of space by following an imaginary turtle across the screen. The concept of turtle geometry grew out of the Logo Group at MIT. Directed by Seymour Papert, author of Mindstorms, this group has done extensive work with preschool children, high school students and university undergraduates.
Author: Andreĭ Petrovich Kiselev
Publisher:
Published: 2008
Total Pages: 192
ISBN-13:
DOWNLOAD EBOOK →This volume completes the English adaptation of a classical Russian textbook in elementary Euclidean geometry. The 1st volume subtitled "Book I. Planimetry" was published in 2006 (ISBN 0977985202). This 2nd volume (Book II. Stereometry) covers solid geometry, and contains a chapter on vectors, foundations, and introduction in non-Euclidean geometry added by the translator. The book intended for high-school and college students, and their teachers. Includes 317 exercises, index, and bibliography.
Author: Michael Serra
Publisher: Kendall/Hunt Publishing Company
Published: 1994
Total Pages: 262
ISBN-13: 9781559530743
DOWNLOAD EBOOK →Author: Maks A. Akivis
Publisher: Springer Science & Business Media
Published: 2006-04-18
Total Pages: 272
ISBN-13: 0387215115
DOWNLOAD EBOOK →This book surveys the differential geometry of varieties with degenerate Gauss maps, using moving frames and exterior differential forms as well as tensor methods. The authors illustrate the structure of varieties with degenerate Gauss maps, determine the singular points and singular varieties, find focal images and construct a classification of the varieties with degenerate Gauss maps.
Author: Key Curriculum Press
Publisher:
Published: 2011-03
Total Pages: 349
ISBN-13: 9781604402223
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