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eBay-Artikelnr.:127100906967
Artikelmerkmale
- Artikelzustand
- Book Title
- Problem-Solving and Selected Topics in Euclidean Geometry: In the
- ISBN
- 1461472725
Über dieses Produkt
Product Identifiers
Publisher
Springer New York
ISBN-10
1461472725
ISBN-13
9781461472728
eBay Product ID (ePID)
160008084
Product Key Features
Number of Pages
X, 235 Pages
Publication Name
Problem-Solving and Selected Topics in Euclidean Geometry : In the Spirit of the Mathematical Olympiads
Language
English
Publication Year
2013
Subject
Decision-Making & Problem Solving, Geometry / General, General, Geometry / Algebraic
Type
Textbook
Subject Area
Mathematics, Education
Format
Hardcover
Dimensions
Item Height
0.2 in
Item Weight
19.1 Oz
Item Length
9.3 in
Item Width
6.1 in
Additional Product Features
Intended Audience
Scholarly & Professional
LCCN
2013-938266
Dewey Edition
23
Reviews
This book provides an essential presentation of concepts and ideas as well as problems with their solutions in Euclidean Geometry, a traditional and still challenging part of Geometry. --Dorian Andrica, Zentralblatt|9781461472728|, From the reviews: "Sotirios E. Louridas and Michael Th. Rassias, the authors of the book at hand, put together an excellent collection of problems for practice. They provide detailed solutions following the masters of that skill. ... an active reader would greatly benefit from reading the book; while working out the problems is bound to sharpen his or her problem solving skills. ... it's a worthy addition to a library of a problem solver." (Alex Bogomolny, MAA Reviews, December, 2013) "The book is a wonderful presentation of the essential concepts, ideas and results of Euclidean Geometry useful in solving olympiad problems of various level of difficulties. The theoretical part is excellently illustrated by challenging olympiad problems. The complete solutions to these problems are carefully presented, most of them together with several interesting comments and remarks. ... All in all the text is a highly recommendable choice for any olympiad training program, and fills some gaps in the existing literature in Euclidean Geometry. The book is a very useful source of models and ideas for students, teachers, heads of national teams and authors of problems, as well as for people who are interested in mathematics and solving difficult problems." --Mihaly Bencze, EMS Newsletter , November 2013 "A subject of high interest for problem-solving in Euclidean Geometry is the application of geometric transformations ... The authors have succeeded to study with great accuracy these transformations. Additionally, they have applied them in order to obtain very nice solutions for some quite challenging problems ... The book is full of new and challenging ideas that will provide guidance and inspiration for future study in the fundamental area of Euclidean Geometry. The large collection of problems in this book provides a valuable recourse for advanced high school students, university undergraduates, instructors, and Mathematics coaches preparing students to participate in mathematical Olympiads...." --Nicusor Minculete, Gazeta Matematic , Seria B., 10/2013 "This book provides an essential presentation of concepts and ideas as well as problems with their solutions in Euclidean Geometry, a traditional and still challenging part of Geometry. --Dorian Andrica, Zentralblatt, This book provides an essential presentation of concepts and ideas as well as problems with their solutions in Euclidean Geometry, a traditional and still challenging part of Geometry. --Dorian Andrica, Zentralblaat|9781461472728|, "This book provides an essential presentation of concepts and ideas as well as problems with their solutions in Euclidean Geometry, a traditional and still challenging part of Geometry. --Dorian Andrica, Zentralblatt "The book is a wonderful presentation of the essential concepts, ideas and results of Euclidean Geometry useful in solving olympiad problems of various level of difficulties. The theoretical part is excellently illustrated by challenging olympiad problems. The complete solutions to these problems are carefully presented, most of them together with several interesting comments and remarks. ... All in all the text is a highly recommendable choice for any olympiad training program, and fills some gaps in the existing literature in Euclidean Geometry. The book is a very useful source of models and ideas for students, teachers, heads of national teams and authors of problems, as well as for people who are interested in mathematics and solving difficult problems." --Mihaly Bencze, EMS Newsletter , November 2013 "A subject of high interest for problem-solving in Euclidean Geometry is the application of geometric transformations ... The authors have succeeded to study with great accuracy these transformations. Additionally, they have applied them in order to obtain very nice solutions for some quite challenging problems ... The book is full of new and challenging ideas that will provide guidance and inspiration for future study in the fundamental area of Euclidean Geometry. The large collection of problems in this book provides a valuable recourse for advanced high school students, university undergraduates, instructors, and Mathematics coaches preparing students to participate in mathematical Olympiads...." --Nicusor Minculete, Gazeta Matematic , Seria B., 10/2013
Number of Volumes
1 vol.
Illustrated
Yes
Dewey Decimal
516.2
Table Of Content
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.
Synopsis
"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., This book contains theorems of particular value for the solution of Olympiad-caliber problems in Euclidean Geometry. It teaches methods of analysis, synthesis, construction, and proof with specific problems, examples, and applications.
LC Classification Number
QA440-699
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- y***m (310)- Bewertung vom Käufer.Letzter MonatBestätigter KaufA book in very good condition is shipped in a plastic bag, so not surprisingly it arrives damaged.
- a***p (128)- Bewertung vom Käufer.Letzter MonatBestätigter KaufBook was in great condition. It's appearance was quite well considering its age, no deformations. Great price for the quality and value. All in all, great purchase! Recommend to all!
- t***i (3224)- Bewertung vom Käufer.Letzter MonatBestätigter KaufExcellent, thank you.
- y***3 (5318)- Bewertung vom Käufer.Letzter MonatBestätigter KaufReceived in good shape.