Mathematics A new approach to teaching calculus that uses historical examples and draws on applications from science and engineering.
Calculus in Context Background, Basics, and Applications ALEXANDER J. HAHN Breaking the mold of existing calculus textbooks, Calculus in Context draws students into the subject in two new ways. Part I develops the mathematical preliminaries within the historical frame of the ancient Greeks and the heliocentric revolution in astronomy. Part II starts with comprehensive and modern treatments of the fundamentals of both differential and integral calculus, then turns to a broad discussion of applications. Students will learn that core ideas of calculus are central to concepts such as acceleration, force, momentum, torque, inertia, and the properties of lenses. Classroom-tested at Notre Dame University, this textbook is suitable for students of wide-ranging backgrounds because it engages its subject at several levels and offers ample and flexible problem set options for instructors. Topics covered in the book include: •
the basics of geometry, trigonometry, algebra, and coordinate geometry and the historical, scientific agenda that drove their development
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a brief, introductory calculus from the works of Newton and Leibniz
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a modern development of the essentials of differential and integral calculus
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applications with surrounding contexts to the analysis of the suspension bridge; the lenses and mirrors of modern telescopes; the architecture of important domes; the geometry of the pseudosphere; the free fall of objects in resistant media; the dynamics of a bullet in the barrel of a gun; and the motion of a planet in its orbit
APRIL
720 pages 7 x 10 645 line drawings
978-1-4214-2230-5
$130.00 (s) £84.00 hc
Also available as an e-book
Calculus in Context is a compelling exploration — from the point of view of both students and instructors — of a discipline that is both rich in conceptual beauty and broad in its applied relevance. Alexander J. Hahn is a professor of mathematics at the University of Notre Dame. He is the author of Basic Calculus: From Archimedes to Newton to Its Role in Science and
Mathematical Excursions to the World’s Great Buildings.
72 JOHNS HOPKINS UNIVERSITY PRESS