Topics in Elementary Geometry PDF Download
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Author: O. Bottema
Publisher: Springer Science & Business Media
ISBN: 0387781315
Category : Mathematics
Languages : en
Pages : 142
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Book Description
This small book, translated into English for the first time, has long been a unique place to find classical results from geometry, such as Pythagoras' theorem, the nine-point circle, Morley's triangle, and many other subjects. In addition, this book contains recent, geometric theorems which have been obtained over the past years. There are 27 independent chapters on a wide range of topics in elementary plane Euclidean geometry, at a level just beyond what is usually taught in a good high school or college geometry course. The selection of topics is intelligent, varied, and stimulating, and the author provides many thought-provoking ideas.
Author: O. Bottema
Publisher: Springer Science & Business Media
ISBN: 0387781315
Category : Mathematics
Languages : en
Pages : 142
Get Book Here
Book Description
This small book, translated into English for the first time, has long been a unique place to find classical results from geometry, such as Pythagoras' theorem, the nine-point circle, Morley's triangle, and many other subjects. In addition, this book contains recent, geometric theorems which have been obtained over the past years. There are 27 independent chapters on a wide range of topics in elementary plane Euclidean geometry, at a level just beyond what is usually taught in a good high school or college geometry course. The selection of topics is intelligent, varied, and stimulating, and the author provides many thought-provoking ideas.
Author: Henry Africk
Publisher:
ISBN: 9780759341906
Category : Geometry
Languages : en
Pages : 369
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Book Description
Author: Ilka Agricola
Publisher: American Mathematical Soc.
ISBN: 0821843478
Category : Mathematics
Languages : en
Pages : 257
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Book Description
Plane geometry is developed from its basic objects and their properties and then moves to conics and basic solids, including the Platonic solids and a proof of Euler's polytope formula. Particular care is taken to explain symmetry groups, including the description of ornaments and the classification of isometries.
Author: J. A. Thorpe
Publisher: Springer Science & Business Media
ISBN: 1461261538
Category : Mathematics
Languages : en
Pages : 263
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Book Description
In the past decade there has been a significant change in the freshman/ sophomore mathematics curriculum as taught at many, if not most, of our colleges. This has been brought about by the introduction of linear algebra into the curriculum at the sophomore level. The advantages of using linear algebra both in the teaching of differential equations and in the teaching of multivariate calculus are by now widely recognized. Several textbooks adopting this point of view are now available and have been widely adopted. Students completing the sophomore year now have a fair preliminary under standing of spaces of many dimensions. It should be apparent that courses on the junior level should draw upon and reinforce the concepts and skills learned during the previous year. Unfortunately, in differential geometry at least, this is usually not the case. Textbooks directed to students at this level generally restrict attention to 2-dimensional surfaces in 3-space rather than to surfaces of arbitrary dimension. Although most of the recent books do use linear algebra, it is only the algebra of ~3. The student's preliminary understanding of higher dimensions is not cultivated.
Author: John Roe
Publisher: Clarendon Press
ISBN: 9780198534563
Category : Language Arts & Disciplines
Languages : en
Pages : 324
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Book Description
This textbook provides an introduction to Euclidean geometry. While developing geometry for its own sake, the book also emphasizes the links between geometry and other branches of pure and applied mathematics.
Author: Robert Bix
Publisher: Elsevier
ISBN: 1483296466
Category : Mathematics
Languages : en
Pages : 549
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Book Description
This volume presents an accessible, self-contained survey of topics in Euclidean and non-Euclidean geometry. It includes plentiful illustrations and exercises in support of the thoroughly worked-out proofs. The author's emphasis on the connections between Euclidean and non-Euclidean geometry unifies the range of topics covered.The text opens with a brief review of elementary geometry before proceeding to advanced material. Topics covered include advanced Euclidean and non-Euclidean geometry, division ratios and triangles, transformation geometry, projective geometry, conic sections, and hyperbolic and absolute geometry. Topics in Geometry includes over 800 illustrations and extensive exercises of varying difficulty.
Author: Edwin E. Moise
Publisher: Addison Wesley
ISBN:
Category : Business & Economics
Languages : en
Pages : 520
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Book Description
Students can rely on Moise's clear and thorough presentation of basic geometry theorems. The author assumes that students have no previous knowledge of the subject and presents the basics of geometry from the ground up. This comprehensive approach gives instructors flexibility in teaching. For example, an advanced class may progress rapidly through Chapters 1-7 and devote most of its time to the material presented in Chapters 8, 10, 14, 19, and 20. Similarly, a less advanced class may go carefully through Chapters 1-7, and omit some of the more difficult chapters, such as 20 and 24.
Author: Thomas H. Parker
Publisher: Ingram
ISBN: 9780974814056
Category : Elementary school teachers
Languages : en
Pages : 258
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Book Description
Textbook on measurement and geometry for elementary school mathematics teachers, including a chapter on data, probability, and statistics. Designed to be used in conjunction with Primary mathematics textbooks 4A, 5A, 3B, 5B, 6B (all U.S. ed.) and New elementary mathematics textbook 1.
Author: Andreĭ Petrovich Kiselev
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 192
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Book Description
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:
Publisher: BRILL
ISBN: 9004510680
Category : Education
Languages : en
Pages : 323
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Book Description
In this book, 23 contributors offer new insights on key issues in mathematics education in early childhood. The chapters cover all mathematics curriculum-related issues in early childhood (number, geometry, patterns and structures and mathematics in daily life). Special attention is given to teachers knowledge and innovative research issues such as quantifiers among young children. Contributors are: Abraham Arcavi, Ruthi Barkai, Douglas H. Clements, Bat-Sheva Eylon, Dina Hassidov, Rina Hershkowitz, Leah Ilani, Bat-Sheva Ilany, Candace Joswick, Esther Levenson, Zvia Markovits, Zemira Mevarech, Joanne Mulligan, Sherman Rosenfeld, Flavia Santamaria, Julie Sarama, Juhaina Awawdeh Shahbari, Amal Sharif-Rasslan, Tal Sharir, Nora Scheuer, Pessia Tsamir, Dina Tirosh and Ana Clara Ventura.
