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Title
An Excursion through Elementary Mathematics, Volume II : Euclidean Geometry / by Antonio Caminha Muniz Neto.
ISBN
9783319779744
3319779745
9783319779737
3319779737
Published
Cham : Springer International Publishing : Imprint : Springer, 2018.
Language
English
Description
1 online resource (xi, 550 pages) : illustrations.
Item Number
10.1007/978-3-319-77974-4 doi
Call Number
QA640.7-640.77
Dewey Decimal Classification
512/.12
Summary
This book provides a comprehensive, in-depth overview of elementary mathematics as explored in Mathematical Olympiads around the world. It expands on topics usually encountered in high school and could even be used as preparation for a first-semester undergraduate course. This second volume covers Plane Geometry, Trigonometry, Space Geometry, Vectors in the Plane, Solids and much more. As part of a collection, the book differs from other publications in this field by not being a mere selection of questions or a set of tips and tricks that applies to specific problems. It starts from the most basic theoretical principles, without being either too general or too axiomatic. Examples and problems are discussed only if they are helpful as applications of the theory. Propositions are proved in detail and subsequently applied to Olympic problems or to other problems at the Olympic level. The book also explores some of the hardest problems presented at National and International Mathematics Olympiads, as well as many essential theorems related to the content. An extensive Appendix offering hints on or full solutions for all difficult problems rounds out the book.
Bibliography, etc. Note
Includes bibliographical references and index.
Access Note
Access limited to authorized users.
Digital File Characteristics
text file PDF
Series
Problem books in mathematics.
Available in Other Form
Print version: 9783319779737
Chapter 01- Basic Geometric Concepts
Chapter 02- Congruence of Triangles
Chapter 03- Loci in the Plane
Chapter 04- Proportionality and Similarity
Chapter 05- Area of Plane Figures
Chapter 06- The Cartesian Method
Chapter 07- Trigonometry and Geometry
Chapter 08- Vectors in the Plane
Chapter 09- A First Glimpse on Projective Techniques
Chapter 10- Basic Concepts in Solid Geometry
Chapter 11- Some Simple Solids
Chapter 12- Convex Polyhedra
Chapter 13- Volume of Solids
Chapter 14- Hints and Solutions.
