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Showing posts with label Mathematical Beauty. Show all posts
Showing posts with label Mathematical Beauty. Show all posts

The Mathematical Coloring Book by Alexander Soifer

Posted by Mr Dragon at Sunday, September 18, 2011 , 0 Comments

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Book Details :
Title : The Mathematical Coloring Book: Mathematics of Coloring and the Colorful Life of its Creators
Author : Alexander Soifer, Branko Grünbaum, Peter Johnson, Cecil Rousseau
Hardcover : 640 pages
Publisher : Springer; 1 edition (November 11, 2008)
Language : English
ISBN-10 : 0387746404
ISBN-13 : 978-0387746401
Size : 10.38 MB.
Type : Pdf.
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Book Description :

This book provides an exciting history of the discovery of Ramsey Theory, and contains new research along with rare photographs of the mathematicians who developed this theory, including Paul Erdös, B.L. van der Waerden, and Henry Baudet.

This book contains much math of interest and pointers to more math of interest. … This is a Fantastic Book!. … The upward closure of the union of the following people: (1) an excellent high school student, (2) a very good college math major, (3) a good grad student in math or math-related field, (4) a fair PhD in combinatories, or (5) a bad math professor. … Anyone who is interested in math or history of math. This book has plenty of both.

It contains a range of combinatorial colouring problems, while those interested in the recent history or the sociology of mathematics will be entertained by lively accounts of the combinatorialists who created and worked on them. … The book is generally well written and presented, with good diagrams and layout … . a useful and engaging book.

The beautiful and unique Mathematical coloring book of Alexander Soifer is another case of ``good mathematics''… and presenting mathematics as both a science and an art… It is difficult to explain how much beautiful and good mathematics is included and how much wisdom about life is given.

About author :

Alexander Soifer is a Russian born and educated American mathematician, a professor of mathematics at the University of Colorado, an author of some 200 articles on mathematics, history of mathematics, mathematics education, film reviews, etc. He is Senior Vice President of the World Federation of National Mathematics Competitions, which in 2006 awarded him The Paul Erdös Award. 26 years ago Soifer founded has since chaired The Colorado Mathematical Olympiad, and served on both USSR and USA Mathematical Olympiads committees. Soifer’s Erdös number is 1.


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Convex Functions by A. Wayne Roberts

Posted by Mr Dragon at Friday, August 26, 2011 , 0 Comments

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Book Details :
Title : Convex Functions (Pure & Applied Mathematics)
Author : A. Wayne Roberts
Paperback : 300 pages
Publisher : Elsevier Science & Technology (December 14, 1973)
Language : English
ISBN-10 : 0125897405
ISBN-13 : 978-0125897402
Size : 5.45 MB.
Type : Djvu.
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Book Description :
The idea of writing this book grew out of an Undergraduate Research Program cooperatively directed by the authors. It has been well recognized, especially by Russian mathematicians, that the topic of convex sets affords an excellent means of introducing high school students to the beauty and fascination of advanced mathematics. We came to feel that the study of convex functions was similarly suited to undergraduate college students of mathematics. There are several reasons for this: (a) it has high geometric and intuitive content, (b) it uses and reinforces in a significant way ideas the student has learned in his linear algebra and calculus courses, (c) it permits easy generalization to an abstract setting, (d) it naturally illuminates a number of mathematical gems, developing a taste for beauty and elegance, and (e) it is easy to pose challenging and even unsolved problems. With this in mind, we set out to collect in one place all the basic ideas and present them at a level appropriate to a college senior, to put together an extensive list of problems ranging from easy to very difficult, and to indicate areas that can be investigated as individual or group projects.


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