![]() Understanding of the subject was not clear. It is important to mention thatīefore I was publicly criticized by my math teacher I did not realize that my Until I could solve all the problems in the book. However, it worked in my case and it motivated me. Now, being a teacher myself, I understand that thisĪpproach was not the best pedagogical “trick” that can be applied in a classroom. Told me, in front of the class, that I had no talent for the subject and that I shouldĬontinue practicing the violin. I received aī on the test-a great disappointment. Plane geometry test because I could not understand how to do proofs. School and coming back from a national violin competition, I did not do well on a One day in the sixth grade after missing 2 weeks of Genius just because he or she is a math major. We assume that math is not for us and believe that our next-door neighbor is a Sometimes we live with this fear all our lives. Your encouragement made this book possibleĪnd to my university mentor and scientificĬareer as a scientist would not have been Springer is part of Springer Science+Business Media (To my beautiful daughter, Respect to the material contained herein. The publisher makes no warranty, express or implied, with Publication, neither the authors nor the editors nor the publisher can accept any legal responsibility forĪny errors or omissions that may be made. ![]() While the advice and information in this book are believed to be true and accurate at the date of Publication does not imply, even in the absence of a specific statement, that such names are exemptįrom the relevant protective laws and regulations and therefore free for general use. The use of general descriptive names, registered names, trademarks, service marks, etc. Violations are liable to prosecution under the respective Copyright Law. Permissions for use may be obtained through RightsLink at the Copyright Clearance Center. Publisher’s location, in its current version, and permission for use must always be obtained from Of this publication or parts thereof is permitted only under the provisions of the Copyright Law of the In connection with reviews or scholarly analysis or material supplied specifically for the purpose of beingĮntered and executed on a computer system, for exclusive use by the purchaser of the work. Exempted from this legal reservation are brief excerpts Methodology now known or hereafter developed. Information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar Recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or Of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, All rights are reserved by the Publisher, whether the whole or part © Springer International Publishing Switzerland 2013 Library of Congress Control Number: 2013943010 Springer Cham Heidelberg New York Dordrecht London It will also appeal to instructors of geometry, history of mathematics, and math education courses. Methods of Solving Complex Geometry Problems will interest high school and college students needing to prepare for exams and competitions, as well as anyone who enjoys an intellectual challenge and has a special love of geometry. ![]() It can also be used by professors as a resource to stimulate the abstract thinking required to transcend the tedious and routine, bringing forth the original thought of which their students are capable. It contains important and sometimes overlooked topics on triangles, quadrilaterals, and circles such as the Menelaus-Ceva theorem, Simson’s line, Heron’s formula, and the theorems of the three altitudes and medians. Written by an accomplished female mathematician who struggled with geometry as a child, it does not intimidate, but instead fosters the reader’s ability to solve math problems through the direct application of theorems.Ĭontaining over 160 complex problems with hints and detailed solutions, Methods of Solving Complex Geometry Problems can be used as a self-study guide for mathematics competitions and for improving problem-solving skills in courses on plane geometry or the history of mathematics. By proposing several methods to approach each problem and emphasizing geometry’s connections with different fields of mathematics, Methods of Solving Complex Geometry Problems serves as a bridge to more advanced problem solving. This book is a unique collection of challenging geometry problems and detailed solutions that will build students’ confidence in mathematics.
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