Chapters 2-7 contain the core mathematical content of the text, following the ErlangenProgram, which develops geometry in terms of a space and a group of transformations on that space.
This text provides the student with the knowledge of a geometry of greater scope than the classical geometry taught today, which is no longer an adequate basis for mathematics or physics, both of which are becoming increasingly geometric.
Filled with lots of clear examples and useful illustrations, this compact book provides an excellent introduction to geometric algebra for computer graphics.
"This collection of essays by artists and mathematicians continues the discussion of the connections between art and mathematics begun in the widely read first volume of The Visual Mind in 1993."--BOOK JACKET.
In the past ten years China's IMO Team has achieved outstanding results — they won the first place almost every year.The author is one of the coaches of China's IMO National Team, whose students have won many gold medals many times in IMO ...
This book will provide a unique and invaluable source for researchers and graduate students. From the Reviews: "This book is definitely a milestone in the literature of integer programming and combinatorial optimization.
A geometry course based on this book was taught success fully by Gene Murrow for several years. We are much indebted to Springer-Verlag for publishing Geometry, so that others can try our approach.
From the reviews: "A prominent research mathematician and a high school teacher have combined their efforts in order to produce a high school geometry course.
This book presents established and new approaches to perform calculations of electrostatic interactions at the nanoscale, with particular focus on molecular biology applications.