Problem-Solving and Selected Topics in Euc...

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Beschreibung

"Problem-Solving and Selected Topics in Euclidean Geometry: in the Spirit of the Mathematical Olympiads" contains theorems which are of particular value for the solution of geometrical problems. Emphasis is given in the discussion of a variety of methods, which play a significant role for the solution of problems in Euclidean Geometry. Before the complete solution of every problem, a key idea is presented so that the reader will be able to provide the solution. Applications of the basic geometrical methods which include analysis, synthesis, construction and proof are given. Selected problems which have been given in mathematical olympiads or proposed in short lists in IMO's are discussed. In addition, a number of problems proposed by leading mathematicians in the subject are included here. The book also contains new problems with their solutions. The scope of the publication of the present book is to teach mathematical thinking through Geometry and to provide inspiration for both students and teachers to formulate "positive" conjectures and provide solutions.

Über den Autor

Michael Th. Rassias is a brilliant young mathematician and son of a highly regarded author and acclaimed mathematician, Themistocles Rassias. He has received several awards in competitive mathematical problem solving. He received first prize in the Jozef Wildt International Mathematics Competition for three consecutive years in 2004, 2005 and 2006. He was also the silver medalist at the 44th International Mathematics Olympiad of 2003 held in Tokyo, Japan.

Rassias's last book with Springer is entitled "Problem-Solving and Selected Topics in Number Theory" and was published Nov. 23, 2010.

S.E. Louridas does not hold a present affiliation but has written 6 olympiad related books and has trained young people in math olympiads for several years in Greece.

Zusammenfassung

The book teaches in practice methods of analysis, synthesis, construction, and proof with specific problems, examples, and applications

Teaches mathematical thinking presented in the most elementary possible form for the solution or proof of every problem or statement of theorem

Presents main theorems of Euclidean Geometry with a discussion of the central ideas behind their proofs

Provides approximately 25 problems proposed by leading mathematicians or given in IMO's or short lists for IMO's or BMO's

Includes supplementary material: [...]

Inhaltsverzeichnis

Foreword.- Preface.- Basic Concepts and Theorems of Euclidean Geometry.- Methods of Analysis, Synthesis, Construction and Proof.-Geometrical Constructions.- Geometrical Loci.- Problems of Olympiad Caliber.- Solutions of the Problems.- Bibliography.- Index.

Details

Erscheinungsjahr:	2013
Fachbereich:	Geometrie
Genre:	Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Inhalt:	x 235 S.
ISBN-13:	9781461472728
ISBN-10:	1461472725
Sprache:	Englisch
Ausstattung / Beilage:	HC gerader Rücken kaschiert
Einband:	Gebunden
Autor:	Rassias, Michael Th. Louridas, Sotirios E.
Hersteller:	Springer US Springer New York Springer US, New York, N.Y.
Maße:	241 x 160 x 17 mm
Von/Mit:	Michael Th. Rassias (u. a.)
Erscheinungsdatum:	01.05.2013
Gewicht:	0,541 kg

Artikel-ID: 105949522