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Adventures in Mathematical Reasoning
Eight fascinating examples show how understanding of certain topics in advanced mathematics requires nothing more than arithmetic and common sense. Covers mathematical applications behind cell phones, computers, cell growth, and other areas.
Calculus and Analytic Geometry
A revision of McGraw-Hill's leading calculus text for the 3-semester sequence taken primarily by math, engineering, and science majors. The revision is substantial and has been influenced by students, instructors in physics, engineering, and mathematics, and participants in the national debate on the future of calculus. Revision focused on these key areas: Upgrading graphics and design, expanding range of problem sets, increasing motivation, strengthening multi-variable chapters, and building a stronger support package.
Calculus in the First Three Dimensions
Introduction to calculus for both undergraduate math majors and those pursuing other areas of science and engineering for whom calculus will be a vital tool. Solutions available as free downloads. 1967 edition.
Archimedes
Many people have heard two things about Archimedes: he was the greatest mathematician of antiquity, and he ran naked from his bath crying ``Eureka!''. However, few people are familiar with the actual accomplishments upon which his enduring reputation rests, and it is the aim of this book to shed light upon this matter. Archimedes' ability to achieve so much with the few mathematical tools at his disposal was astonishing. He made fundamental advances in the fields of geometry, mechanics, and hydrostatics. No great mathematical expertise is required of the reader, and the book is well illustrated with over 100 diagrams. It will prove fascinating to students and professional mathematicians alike.
Strength in Numbers
An Easygoing, Highly Entertaining Refresher on all the Math You'll Ever Need. What do two goats and a car have to do with making good decisions? Was the golden ratio used to build the Great Pyramid of Khufu? Can it be that some numbers are unmistakably "hot," while others are inherently "cool"? With his infectiously enthusiastic and engaging style, award-winning teacher and author Sherman K. Stein offers a new appreciation for mathematics, from the beauty of its logic ("as inevitable and memorable as a Mozart symphony") to its amazing power and pervasiveness in our lives. Requiring no math knowledge beyond basic arithmetic and high school geometry, Strength in Numbers is an enlightening introduction to all the math you'll ever need.
Algebra and Tiling
A concise investigation into the connections between tiling space problems and algebraic ideas, suitable for undergraduates.
Mathematics: The Man-Made Universe
Highly readable volume covers number theory, topology, set theory, geometry, algebra, and analysis, plus the primes, fundamental theory of arithmetic, probability, and more. Solutions manual available upon request. 1994 edition.
Accessible Technology and the Developing World
This book brings together a unique combination of contributors with diverse disciplinary backgrounds from both the developing and developed world. Together, they present a unique and much needed review of this critical and growing area of work.
Geometry
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