001444590 000__ 03871cam\a2200565Ii\4500
001444590 001__ 1444590
001444590 003__ OCoLC
001444590 005__ 20230310003717.0
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001444590 007__ cr\un\nnnunnun
001444590 008__ 220222s2022\\\\sz\a\\\\o\\\\\001\0\eng\d
001444590 020__ $$a9783030891176$$q(electronic bk.)
001444590 020__ $$a3030891178$$q(electronic bk.)
001444590 020__ $$z9783030891169
001444590 020__ $$z303089116X
001444590 0247_ $$a10.1007/978-3-030-89117-6$$2doi
001444590 035__ $$aSP(OCoLC)1298678318
001444590 040__ $$aYDX$$beng$$erda$$epn$$cYDX$$dGW5XE$$dEBLCP$$dOCLCO$$dOCLCF$$dN$T$$dOCLCO$$dSFB$$dUKAHL$$dOCLCQ
001444590 049__ $$aISEA
001444590 050_4 $$aQA445$$b.G45 2022
001444590 08204 $$a516$$223
001444590 1001_ $$aGelca, Rǎzvan,$$d1967-$$eauthor.
001444590 24510 $$aGeometric transformations /$$cRazvan Gelca, Ionut Onisor, Carlos Yuzo Shine.
001444590 264_1 $$aCham :$$bSpringer,$$c[2022]
001444590 264_4 $$c©2022
001444590 300__ $$a1 online resource :$$billustrations.
001444590 336__ $$atext$$btxt$$2rdacontent
001444590 337__ $$acomputer$$bc$$2rdamedia
001444590 338__ $$aonline resource$$bcr$$2rdacarrier
001444590 4901_ $$aProblem books in mathematics
001444590 500__ $$aIncludes index.
001444590 5050_ $$aIntroduction -- Part I: Problems - 1. Isometries -- 2. Homotheties and Spiral Similarities -- 3. Inversions -- 4. A Synthesis -- Part II: Hints - 5. Isometries -- 6. Homotheties and Spiral Similarities -- 7. Inversions -- 8. A Synthesis -- Part III: Solutions - 9. Isometries -- 10. Homotheties and Spiral Similarities -- 11. Inversions -- 12. A Synthesis.
001444590 506__ $$aAccess limited to authorized users.
001444590 520__ $$aThis textbook teaches the transformations of plane Euclidean geometry through problems, offering a transformation-based perspective on problems that have appeared in recent years at mathematics competitions around the globe, as well as on some classical examples and theorems. It is based on the combined teaching experience of the authors (coaches of several Mathematical Olympiad teams in Brazil, Romania and the USA) and presents comprehensive theoretical discussions of isometries, homotheties and spiral similarities, and inversions, all illustrated by examples and followed by myriad problems left for the reader to solve. These problems were carefully selected and arranged to introduce students to the topics by gradually moving from basic to expert level. Most of them have appeared in competitions such as Mathematical Olympiads or in mathematical journals aimed at an audience interested in mathematics competitions, while some are fundamental facts of mathematics discussed in the framework of geometric transformations. The book offers a global view of the geometric content of today's mathematics competitions, bringing many new methods and ideas to the attention of the public. Talented high school and middle school students seeking to improve their problem-solving skills can benefit from this book, as well as high school and college instructors who want to add nonstandard questions to their courses. People who enjoy solving elementary math problems as a hobby will also enjoy this work.
001444590 588__ $$aDescription based on print version record.
001444590 650_0 $$aGeometry$$vProblems, exercises, etc.
001444590 650_6 $$aGéométrie$$vProblèmes et exercices.
001444590 655_7 $$aProblems and exercises.$$2fast$$0(OCoLC)fst01423783
001444590 655_7 $$aLlibres electrònics.$$2thub
001444590 655_0 $$aElectronic books.
001444590 7001_ $$aOnisor, Ionut,$$eauthor.
001444590 7001_ $$aShine, Carlos Yuzo,$$eauthor.
001444590 77608 $$iPrint version:$$aGelca, Rǎzvan, 1967-.$$tGeometric transformations.$$dCham : Springer, 2022$$z9783030891169$$w(OCoLC)1295106227
001444590 830_0 $$aProblem books in mathematics.
001444590 852__ $$bebk
001444590 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-89117-6$$zOnline Access$$91397441.1
001444590 909CO $$ooai:library.usi.edu:1444590$$pGLOBAL_SET
001444590 980__ $$aBIB
001444590 980__ $$aEBOOK
001444590 982__ $$aEbook
001444590 983__ $$aOnline
001444590 994__ $$a92$$bISE