In this post, we will see the book Convex Figures (Library of the Mathematical Circle-Volume 4) by I. M. Yaglom and V. G. Boltyanskii.
About the book
This book has been written for pupils of the higher classes in secondary schools and for students in the first semester of universities, as well as for all those who love mathematics. It can be used for study in mathematical work groups in secondary schools as well as universities. The presentation assumes nothing beyond high school mathematics, and the largest part of the book can be understood with the background acquired by the eighth grade in a secondary school. Moreover, we have striven in presenting the material to present even an inexperienced reader with as few difficulties as possible, although at some places, in the interest of ready comprehension, we were forced to give up complete rigor. We believe that all necessary steps toward precision can be carried out independently by any student in the middle semester in mathematics at a university or teachers college. To make this work easier, we introduce at the end of the book the rigorous definition of the concept of a plane figure as used in this book
Translated from the Russian by Paul J. Kelly and Lewis F. Walton
You can get the book here.
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