"Principal Facts and Ideas. Problem solving is the principal tool for learning physical chemistry. Problem solving can be approached in a systematic way. Many problems involve numerical calculations involving measurable quantities. A measured quantity consists of a number and a unit of measurement. The SI units have been officially adopted by international organizations of physicists and chemists. Consistent units must be used in any calculation....

"This easy-to-read book demonstrates how a simple geometric idea reveals fascinating connections and results in number theory, the mathematics of polyhedra, combinatorial geometry, and group theory. Using a systematic paper-folding procedure it is possible to construct a regular polygon with any number of sides. This remarkable algorithm has led to interesting proofs of certain results in number theory, has been used to answer combinatorial questions...

One of the main themes of the book is the beauty that mathematics possess, which Hardy compares to painting and poetry. For Hardy, the most beautiful mathematics was that which had no applications in the outside world, by which he meant pure mathematics, and, in particular, his own special field of number theory. He justifies the pursuit of pure mathematics with the argument that its very "uselessness" meant that it could not be misused to cause harm....

Just-In-Time Math is a concise review and summary of the mathematical principles needed by all engineering professionals. Topics covered include differential calculus, integral calculus, complex numbers, differential equations, engineering statistics, and partial derivatives. Numerous example engineering problems are included to show readers how to apply mathematical techniques to a wide range of engineering situations. This is the perfect mathematics...

"In Strange Curves, Counting Rabbits, and Other Mathematical Explorations, Keith Ball draws on areas of mathematics from probability theory, number theory, and geometry. He explores a wide range of concepts, some more lighthearted, others central to the development of the field and used daily by mathematicians, physicists, and engineers." "Accessible to anyone with basic calculus, this book is a treasure trove of ideas that will entertain, amuse,...

Among other things, Aaboe shows us how the Babylonians did calculations, how Euclid proved that there are infinitely many primes, how Ptolemy constructed a trigonometric table in his Almagest, and how Archimedes trisected the angle. Some of the topics may be familiar to the reader, while others will seem surprising or be new.

An anthology of the year's finest writing on mathematics from around the world, featuring promising new voices as well as some of the foremost names in mathematics. This annual anthology brings together the year's finest mathematics writing from around the world. Featuring promising new voices alongside some of the foremost names in the field. The Best Writing on Mathematics 2012 makes available to a wide audience many articles not easily found anywhere...

Though elementary in nature, this book deals with fundamental issues in mathematics -- number, algebra, geometry (both Euclidean and non-Euclidean) and topology. These subjects, on an advanced level, are the same ones with which much of current mathematical research is concerned and were themselves research topics of earlier periods. The material is very suitable both for advanced high school students and for college students interested in elementary...