LEADER 00853nam0-22003011i-450- 001 990002958590403321 010 $a0-7923-5234-3 035 $a000295859 035 $aFED01000295859 035 $a(Aleph)000295859FED01 035 $a000295859 100 $a20000920d1998----km-y0itay50------ba 101 0 $aENG 200 1 $aAdvanced integration theory$fby Corneliu Costantinescu...[et al.] 210 $aDordrecht$cKuwer$d1998 215 $a861 p.$d24 cm 225 1 $aMathematics and its applications$v454 610 0 $aTeoria della misura e dell'integrazione 676 $a515.42 702 1$aCostantinescu,$bCorneliu 801 0$aIT$bUNINA$gRICA$2UNIMARC 901 $aBK 912 $a990002958590403321 952 $aMIX-C-70$b7277$fMAS 959 $aMAS 996 $aAdvanced integration theory$9466175 997 $aUNINA DB $aING01 LEADER 03816nam 22005895 450 001 9910300105303321 005 20210708141946.0 010 $a3-319-77974-5 024 7 $a10.1007/978-3-319-77974-4 035 $a(CKB)4100000003359568 035 $a(DE-He213)978-3-319-77974-4 035 $a(MiAaPQ)EBC5576433 035 $a(EXLCZ)994100000003359568 100 $a20180416d2018 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 13$aAn Excursion through Elementary Mathematics, Volume II $eEuclidean Geometry /$fby Antonio Caminha Muniz Neto 205 $a1st ed. 2018. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2018. 215 $a1 online resource (XI, 550 p. 411 illus.) 225 1 $aProblem Books in Mathematics,$x0941-3502 311 $a3-319-77973-7 320 $aIncludes bibliographical references and index. 327 $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. 330 $aThis book provides a comprehensive, in-depth overview of elementary mathematics as explored in Mathematical Olympiads around the world. It expands on topics usually encountered in high school and could even be used as preparation for a first-semester undergraduate course. This second volume covers Plane Geometry, Trigonometry, Space Geometry, Vectors in the Plane, Solids and much more. As part of a collection, the book differs from other publications in this field by not being a mere selection of questions or a set of tips and tricks that applies to specific problems. It starts from the most basic theoretical principles, without being either too general or too axiomatic. Examples and problems are discussed only if they are helpful as applications of the theory. Propositions are proved in detail and subsequently applied to Olympic problems or to other problems at the Olympic level. The book also explores some of the hardest problems presented at National and International Mathematics Olympiads, as well as many essential theorems related to the content. An extensive Appendix offering hints on or full solutions for all difficult problems rounds out the book. 410 0$aProblem Books in Mathematics,$x0941-3502 606 $aConvex geometry 606 $aDiscrete geometry 606 $aPolytopes 606 $aGeometry, Projective 606 $aConvex and Discrete Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M21014 606 $aPolytopes$3https://scigraph.springernature.com/ontologies/product-market-codes/M21040 606 $aProjective Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M21050 615 0$aConvex geometry. 615 0$aDiscrete geometry. 615 0$aPolytopes. 615 0$aGeometry, Projective. 615 14$aConvex and Discrete Geometry. 615 24$aPolytopes. 615 24$aProjective Geometry. 676 $a516.1 700 $aCaminha Muniz Neto$b Antonio$4aut$4http://id.loc.gov/vocabulary/relators/aut$0767139 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910300105303321 996 $aAn Excursion through Elementary Mathematics, Volume II$92238314 997 $aUNINA