Items related to Conjecture and Proof (Classroom Resource Materials)
Synopsis
The Budapest semesters in mathematics were initiated with the aim of offering undergraduate courses that convey the tradition of Hungarian mathematics to English-speaking students. This book is an elaborate version of the course on 'Conjecture and Proof'. It gives miniature introductions to various areas of mathematics by presenting some interesting and important, but easily accessible results and methods. The text contains complete proofs of deep results such as the transcendence of e, the Banach-Tarski paradox and the existence of Borel sets of arbitrary (finite) class. One of the purposes is to demonstrate how far one can get from the first principles in just a couple of steps. Prerequisites are kept to a minimum, and any introductory calculus course provides the necessary background for understanding the book. Exercises are included for the benefit of students. However, this book should prove fascinating for any mathematically literate reader.
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Book Description
The Budapest semesters in mathematics aim to convey the tradition of Hungarian mathematics to English-speaking students. This book is an elaborate version of the course 'Conjecture and Proof'. Prerequisites are kept to a minimum and exercises are included. This book should prove fascinating for any mathematically literate reader.
About the Author
Miklos Laczkovich was born in Budapest, Hungary. He graduated from the Eotvos Lorand University (Budapest) and has been teaching at the same University since then, but also had several visiting positions at various universities in Canada, England, Italy and in the United States. His main field of interest is real analysis. He was an invited speaker at the First European Congress of Mathematics held in Paris, France in 1992. In 1993 he won the Ostrowski prize for the solution of Tarski's 'circle-squaring' problem. Member of the Hungarian Academy of Sciences.
"About this title" may belong to another edition of this title.
- PublisherThe Mathematical Association of America
- Publication date2002
- ISBN 10 0883857227
- ISBN 13 9780883857229
- BindingPaperback
- LanguageEnglish
- Edition number1
- Number of pages127
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