A Mathematical Gift III is popular PDF and ePub book, written by Koji Shiga in 2005-07-18, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, A Mathematical Gift III can be Read Online from any device for your convenience.
A Mathematical Gift III Book PDF Summary
This book brings the beauty and fun of mathematics to the classroom. It offers serious mathematics in a lively, reader-friendly style. Included are exercises and many figures illustrating the main concepts. The first chapter talks about the theory of manifolds. It includes discussion of smoothness, differentiability, and analyticity, the idea of local coordinates and coordinate transformation, and a detailed explanation of the Whitney imbedding theorem (both in weak and in strong form).The second chapter discusses the notion of the area of a figure on the plane and the volume of a solid body in space. It includes the proof of the Bolyai-Gerwien theorem about scissors-congruent polynomials and Dehn's solution of the Third Hilbert Problem. This is the third volume originating from a series of lectures given at Kyoto University (Japan). It is suitable for classroom use for high school mathematics teachers and for undergraduate mathematics courses in the sciences and liberal arts. The first and second volumes are available as Volume 19 and Volume 20 in the AMS series, ""Mathematical World"".
Detail Book of A Mathematical Gift III PDF
- Author : Koji Shiga
- Release : 18 July 2005
- Publisher : American Mathematical Society
- ISBN : 0821832840
- Genre : Mathematics
- Total Page : 148 pages
- Language : English
- PDF File Size : 9,6 Mb
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