LIBERO WebOPAC Catalogue Display (W561)

Catalogue Information
Field name	Details
Dewey Class	516.1
Title	An Excursion through Elementary Mathematics, Volume II ([EBook]) : Euclidean Geometry / / by Antonio Caminha Muniz Neto.
Author	Caminha Muniz Neto, Antonio
Other name(s)	SpringerLink (Online service)
Publication	Cham : : Springer International Publishing : : Imprint: Springer, , 2018.
Physical Details	XI, 550 p. 411 illus. : online resource.
Series	Problem books in mathematics 0941-3502
ISBN	9783319779744
Summary Note	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.:
Contents note	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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-319-77974-4
Links to Related Works	Subject References: Convex and Discrete Geometry . Convex geometry . Discrete geometry . Mathematics . Polytopes . Projective Geometry . Authors: Caminha Muniz Neto, Antonio . Corporate Authors: SpringerLink (Online service) . Series: Problem books in mathematics . Classification: 516.1 .

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An Excursion through Elementary Mathematics, Volume II: Euclidean Geometry

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