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Elementary Geometry

Elementary Geometry PDF Author: Ilka Agricola
Publisher: American Mathematical Soc.
ISBN: 0821843478
Category : Geometry
Languages : en
Pages : 257

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.

Elementary Geometry

Elementary Geometry PDF Author: Ilka Agricola
Publisher: American Mathematical Soc.
ISBN: 0821843478
Category : Geometry
Languages : en
Pages : 257

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.

Topics in Elementary Geometry

Topics in Elementary Geometry PDF Author: O. Bottema
Publisher: Springer Science & Business Media
ISBN: 0387781315
Category : Mathematics
Languages : en
Pages : 142

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.

Elementary Geometry for College Students

Elementary Geometry for College Students PDF Author: Daniel C. Alexander
Publisher:
ISBN: 9780395870556
Category : Mathematics
Languages : en
Pages : 566

Book Description


Elementary College Geometry

Elementary College Geometry PDF Author: Henry Africk
Publisher:
ISBN: 9780759341906
Category : Geometry
Languages : en
Pages : 369

Book Description


Elementary Geometry

Elementary Geometry PDF Author: John Roe
Publisher: Clarendon Press
ISBN: 9780198534563
Category : Language Arts & Disciplines
Languages : en
Pages : 324

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.

Elementary Geometry for Teachers

Elementary Geometry for Teachers PDF Author: Thomas H. Parker
Publisher: Ingram
ISBN: 9780974814056
Category : Elementary school teachers
Languages : en
Pages : 258

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.

Elementary Differential Geometry

Elementary Differential Geometry PDF Author: A.N. Pressley
Publisher: Springer Science & Business Media
ISBN: 1848828918
Category : Mathematics
Languages : en
Pages : 474

Book Description
Elementary Differential Geometry presents the main results in the differential geometry of curves and surfaces suitable for a first course on the subject. Prerequisites are kept to an absolute minimum – nothing beyond first courses in linear algebra and multivariable calculus – and the most direct and straightforward approach is used throughout. New features of this revised and expanded second edition include: a chapter on non-Euclidean geometry, a subject that is of great importance in the history of mathematics and crucial in many modern developments. The main results can be reached easily and quickly by making use of the results and techniques developed earlier in the book. Coverage of topics such as: parallel transport and its applications; map colouring; holonomy and Gaussian curvature. Around 200 additional exercises, and a full solutions manual for instructors, available via www.springer.com ul

Elementary Algebraic Geometry

Elementary Algebraic Geometry PDF Author: Klaus Hulek
Publisher: American Mathematical Soc.
ISBN: 0821829521
Category : Geometry, Algebraic
Languages : en
Pages : 225

Book Description
This 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.

Elementary Geometry from an Advanced Standpoint

Elementary Geometry from an Advanced Standpoint PDF Author: Edwin E. Moise
Publisher: Addison Wesley
ISBN:
Category : Business & Economics
Languages : en
Pages : 520

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.

Elementary Differential Geometry

Elementary Differential Geometry PDF Author: Barrett O'Neill
Publisher: Academic Press
ISBN: 148326811X
Category : Mathematics
Languages : en
Pages : 422

Book Description
Elementary Differential Geometry focuses on the elementary account of the geometry of curves and surfaces. The book first offers information on calculus on Euclidean space and frame fields. Topics include structural equations, connection forms, frame fields, covariant derivatives, Frenet formulas, curves, mappings, tangent vectors, and differential forms. The publication then examines Euclidean geometry and calculus on a surface. Discussions focus on topological properties of surfaces, differential forms on a surface, integration of forms, differentiable functions and tangent vectors, congruence of curves, derivative map of an isometry, and Euclidean geometry. The manuscript takes a look at shape operators, geometry of surfaces in E, and Riemannian geometry. Concerns include geometric surfaces, covariant derivative, curvature and conjugate points, Gauss-Bonnet theorem, fundamental equations, global theorems, isometries and local isometries, orthogonal coordinates, and integration and orientation. The text is a valuable reference for students interested in elementary differential geometry.