000 03207cam a2200433Mi 4500
001 on1043524165
003 OCoLC
005 20230816123459.0
008 170428s2018 sz a b 001 0 eng d
010 _a 2017933290
020 _a9783319779737
_q(hardback)
020 _a3319779737
035 _a(OCoLC)1043524165
040 _aEQO
_beng
_erda
_erda
_cEQO
_dOCLCO
_dOCLCF
_dYDX
_dOCLCQ
_dS2H
_dOCLCO
082 0 4 _a516.1
090 _aens
100 _aMuniz Neto, Antonio Caminha
_eauthor.
_947748
245 1 3 _aAn excursion through elementary mathematics, volume 2 :
_beuclidean geometry /
_cAntonio Caminha Muniz Neto.
264 1 _aCham, Switzerland :
_bSpringer,
_c2018.
264 4 _c©2018
300 _axi, 550 p. :
_billustrations ;
_c25 cm
336 _atext
_btxt
_2rdacontent
337 _aunmediated
_bn
_2rdamedia
338 _avolume
_bnc
_2rdacarrier
490 1 _aProblem books in mathematics,
_x0941-3502
500 _aComplete in 3 volumes.
504 _aIncludes bibliographical references and index.
505 0 _aChapter 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.
520 _aThis 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.
650 0 _aMathematics
_xStudy and teaching.
650 0 _aNumbers, Real.
_937075
650 7 _aMathematics
_xStudy and teaching.
_2fast
_0(OCoLC)fst01012236
650 7 _aNumbers, Real.
_2fast
_0(OCoLC)fst01041248
_937075
697 _919
_aEnsino
830 0 _aProblem books in mathematics.
_x0941-3502
_944289
942 _2ddc
_cBK
_n0
948 _hNO HOLDINGS IN P5A - 2 OTHER HOLDINGS
999 _c39793
_d39793