Print Titles
A Mathematical Tapestry by
This easy-to-read 2010 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 involving partitions of space, and has enabled the authors to obtain the formula for the volume of a regular tetrahedron in around three steps, using nothing more complicated than basic arithmetic and the most elementary plane geometry. All of these ideas, and more, reveal the beauty of mathematics and the interconnectedness of its various branches. Detailed instructions, including clear illustrations, enable the reader to gain hands-on experience constructing these models and to discover for themselves the patterns and relationships they unearth.
ISBN: 9780521128216Publication Date: 2010-07-22
Discrete Mathematics by
Focused on helping readers understand and construct proofs - and, generally, expanding their mathematical maturity - this best-seller is an accessible introduction to discrete mathematics. Takes an algorithmic approach that emphasizes problem-solving techniques. Expands discussion on how to construct proofs and treatment of problem solving. Increases number of examples and exercises throughout.
ISBN: 9780131593183Publication Date: 2007-12-29
The Numbers Game by
The Strunk & White of statistics team up to help the average person navigate the numbers in the news. Drawing on their hugely popular BBC Radio 4 show More or Less,/I>, journalist Michael Blastland and internationally known economist Andrew Dilnot delight, amuse, and convert American mathphobes by showing how our everyday experiences make sense of numbers. The radical premise of The Numbers Gameis to show how much we already know, and give practical ways to use our knowledge to become cannier consumers of the media. In each concise chapter, the authors take on a different themesuch as size, chance, averages, targets, risk, measurement, and dataand present it as a memorable and entertaining story. If youve ever wondered what average really means, whether the scare stories about cancer risk should convince you to change your behavior, or whether a story you read in the paper is biased (and how), you need this book. Blastland and Dilnot show how to survive and thrive on the torrent of numbers that pours through everyday life. Its the essential guide to every cause you love or hate, and every issue you follow, in the language everyone uses.
ISBN: 9781592404230Publication Date: 2008-12-26
A Short Course in Math Methods with... . by
This unique book provides a streamlined, self-contained and modern text for one-semester mathematical methods course with an emphasis on concepts important from the application point of view. It uses the Maple computer algebra system as an instructional tool to familiarize students with powerful software that deepens their understanding of traditional mathematical techniques. Maple plays an important role in the problem solving process and has the potential to improve students' problem solving skills. Using Maple as an integral component in the teaching process liberates students from laborious tasks while helping them to concentrate entirely on concepts and on better visualizing the mathematical content. By focusing on a conceptual understanding and geometrical intuition the text closely reflects the way most physicists and engineers actually think about mathematics.
ISBN: 9789812564610Publication Date: 2005-12-01
God Created the Integers by
Bestselling author and physicist Stephen Hawking explores the "masterpieces" of mathematics, 25 landmarks spanning 2,500 years and representing the work of 15 mathematicians, including Augustin Cauchy, Bernard Riemann, and Alan Turing. This extensive anthology allows readers to peer into the mind of genius by providing them with excerpts from the original mathematical proofs and results. It also helps them understand the progression of mathematical thought, and the very foundations of our present-day technologies. Each chapter begins with a biography of the featured mathematician, clearly explaining the significance of the result, followed by the full proof of the work, reproduced from the original publication.
ISBN: 9780762419227Publication Date: 2005-10-04
