Authors Ward Cheney and David Kincaid show students of science and engineering the potential computers have for solving numerical problems and give them ample opportunities to hone their skills in programming and problem solving. The text also helps students learn about errors that inevitably accompany scientific computations and arms them with methods for detecting, predicting, and controlling these errors.
Problem-Solving and Selected Topics in Number Theory: In the Spirit of the Mathematical Olympiads
The book provides a self-contained introduction to classical Number Theory. All the proofs of the individual theorems and the solutions of the exercises are being presented step by step. Some historical remarks are also presented. The book will be directed to advanced undergraduate, beginning graduate students as well as to students who prepare for mathematical competitions (ex. Mathematical Olympiads and Putnam Mathematical competition).
Russell's classic 'The Principles of Mathematics' sets forth his landmark thesis that mathematics and logic are identical -- that what is commonly called mathematics is simply later deductions from logical premises. His ideas have had a profound influence on twentieth-century work on logic and the foundations of mathematics.
As a resource for Teachers of mathematics the book is excellent. It covers the number system of almost every concievable culture and any teacher with the slightest imagination could use the information in an interesting way in the classroom.The book covers a lot of information which is not dealt with by the standard english language history of mathematics books, and as such is an invaluable resource for anyone with an interest in the subject.
This is not a math book, but rather a journey through time and cultures that focuses on the place of numbers in various human systems. As such, it is entertaining, enlightening, and may even be somewhat unsettling to those who have always dismissed mysticism and numerology as bogus. Shimmel has translated and added to Franz Carl Endres's book of the same name, broadening the scope of the German original. Her introduction, which stands by itself, is a clear, concise, and interesting survey of the history of numbers and their importance to many societies.
