Mathematical Excursions: Side trips along paths not generally traveled in elementary courses in mathematics
Table of Contents: Introduction I. On Dividing II. Different Ways Of Writing Numbers III. Multiplying Without The Multiplication Table IV. Mostly On Squares
Here is the first modern introduction to geometric probability, also known as integral geometry, presented at an elementary level, requiring little more than first-year graduate mathematics. Klein and Rota present the theory of intrinsic volumes due to Hadwiger, McMullen, Santaló and others, along with a complete and elementary proof of Hadwiger's characterization theorem of invariant measures in Euclidean n-space.
The link between the physical world and its visualization is geometry. This easy-to-read, generously illustrated textbook presents an elementary introduction to differential geometry with emphasis on geometric results. Avoiding formalism as much as possible, the author harnesses basic mathematical skills in analysis and linear algebra to solve interesting geometric problems, which prepare students for more advanced study in mathematics and other scientific fields such as physics and computer science.
Некоторое время назад вот здесь выкладывался комплект этого курса ( New English File) уровня Intermediate. Сегодня - рабочая тетрадочка для уровня Elementary этого во всех отношениях интереснейшего курса. Workbook Audio added Thanks to jorge_wess
