Elementary College Geometry
Author: Henry Africk
Publisher:
Published: 2004
Total Pages: 369
ISBN-13: 9780759341906
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Elementary Geometry
Author: Ilka Agricola
Publisher: American Mathematical Soc.
Published: 2008
Total Pages: 257
ISBN-13: 0821843478
DOWNLOAD EBOOKPlane 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.
Elementary Euclidean Geometry
Author: C. G. Gibson
Publisher: Cambridge University Press
Published: 2003
Total Pages: 194
ISBN-13: 9780521834483
DOWNLOAD EBOOKThis book, first published in 2004, is an example based and self contained introduction to Euclidean geometry with numerous examples and exercises.
Elementary Algebraic Geometry
Author: Klaus Hulek
Publisher: American Mathematical Soc.
Published: 2003
Total Pages: 225
ISBN-13: 0821829521
DOWNLOAD EBOOKThis book is a true introduction to the basic concepts and techniques of algebraic geometry. The language is purposefully kept on an elementary level, avoiding sheaf theory and cohomology theory. The introduction of new algebraic concepts is always motivated by a discussion of the corresponding geometric ideas. The main point of the book is to illustrate the interplay between abstract theory and specific examples. The book contains numerous problems that illustrate the general theory. The text is suitable for advanced undergraduates and beginning graduate students. It contains sufficient material for a one-semester course. The reader should be familiar with the basic concepts of modern algebra. A course in one complex variable would be helpful, but is not necessary.
Basic Geometry: Manual for Teachers
Author: George David Birkhoff
Publisher: American Mathematical Soc.
Published: 2000
Total Pages: 164
ISBN-13: 0821826921
DOWNLOAD EBOOKLesson plan outline: 9 lessons Lesson plan outline: 15 lessons Lesson plan outline: 19 lessons Lesson plan outline: 12 lessons Lesson plan outline: 27 lessons Lesson plan outline: 19 lessons Lesson plan outline: 17 lessons Lesson plan outline: 6 lessons Lesson plan outline: 14 lessons Lesson plan outline: 7 lessons
Elementary Geometry for College Students
Author: Daniel C. Alexander
Publisher:
Published: 1999
Total Pages: 566
ISBN-13: 9780395870556
DOWNLOAD EBOOKVector Geometry
Author: Gilbert de B. Robinson
Publisher: Courier Corporation
Published: 2013-10-10
Total Pages: 194
ISBN-13: 0486321045
DOWNLOAD EBOOKConcise undergraduate-level text by a prominent mathematician explores the relationship between algebra and geometry. An elementary course in plane geometry is the sole requirement. Includes answers to exercises. 1962 edition.
Geometry: A Comprehensive Course
Author: Dan Pedoe
Publisher: Courier Corporation
Published: 2013-04-02
Total Pages: 466
ISBN-13: 0486131734
DOWNLOAD EBOOKIntroduction to vector algebra in the plane; circles and coaxial systems; mappings of the Euclidean plane; similitudes, isometries, Moebius transformations, much more. Includes over 500 exercises.
Foundations of Plane Geometry
Author: Harvey I. Blau
Publisher:
Published: 2003
Total Pages: 0
ISBN-13: 9780130479549
DOWNLOAD EBOOKIdeal for users who may have little previous experience with abstraction and proof, this book provides a rigorous and unified--yet straightforward and accessible --exposition of the foundations of Euclidean, hyperbolic, and spherical geometry. Unique in approach, it combines an extended theme--the study of a generalized absolute plane from axioms through classification into the three fundamental classical planes--with a leisurely development that allows ample time for mathematical growth. It is purposefully structured to facilitate the development of analytic and reasoning skills and to promote an awareness of the depth, power, and subtlety of the axiomatic method in general, and of Euclidean and non-Euclidean plane geometry in particular. Focus on one main topic--The axiomatic development of the absolute plane--which is pursued through a classification into Euclidean, hyperbolic, and spherical planes. Presents specific models such as the sphere, the Klein-Betrami hyperbolic model, and the "gap" plane. Gradually presents axioms for absolute plane geometry.
Elementary Topics in Differential Geometry
Author: J. A. Thorpe
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 263
ISBN-13: 1461261538
DOWNLOAD EBOOKIn 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.
