Background
McCleary, John Henry was born on March 7, 1952 in Philadelphia, Pennsylvania, United States. Son of John William and Fusako (Saito) McCleary.
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book
Geometry from a Differentiable Viewpoint by John McCleary (2012-10-22)
http://www.amazon.com/gp/product/B01NH0D2QV/?tag=2022091-20
Geometry from a Differentiable Viewpoint
(The development of geometry from Euclid to Euler to Lobac...)
The development of geometry from Euclid to Euler to Lobachevsky, Bolyai, Gauss, and Riemann is a story that is often broken into parts - axiomatic geometry, non-Euclidean geometry, and differential geometry. This poses a problem for undergraduates: Which part is geometry? What is the big picture to which these parts belong? In this introduction to differential geometry, the parts are united with all of their interrelations, motivated by the history of the parallel postulate. Beginning with the ancient sources, the author first explores synthetic methods in Euclidean and non-Euclidean geometry and then introduces differential geometry in its classical formulation, leading to the modern formulation on manifolds such as space-time. The presentation is enlivened by historical diversions such as Hugyens's clock and the mathematics of cartography. The intertwined approaches will help undergraduates understand the role of elementary ideas in the more general, differential setting. This thoroughly revised second edition includes numerous new exercises and a new solution key. New topics include Clairaut's relation for geodesics, Euclid's geometry of space, further properties of cycloids and map projections, and the use of transformations such as the reflections of the Beltrami disk.
http://www.amazon.com/gp/product/0521133114/?tag=2022091-20
Geometry from a Differentiable Viewpoint
(This book offers a new treatment of the topic, one which ...)
This book offers a new treatment of the topic, one which is designed to make differential geometry an approachable subject for advanced undergraduates. Professor McCleary considers the historical development of non-Euclidean geometry, placing differential geometry in the context of geometry students will be familiar with from high school. The text serves as both an introduction to the classical differential geometry of curves and surfaces and as a history of a particular surface, the non-Euclidean or hyperbolic plane. The main theorems of non-Euclidean geometry are presented along with their historical development. The author then introduces the methods of differential geometry and develops them toward the goal of constructing models of the hyperbolic plane. While interesting diversions are offered, such as Huygen's pendulum clock and mathematical cartography, the book thoroughly treats the models of non-Euclidean geometry and the modern ideas of abstract surfaces and manifolds.
http://www.amazon.com/gp/product/0521424801/?tag=2022091-20
John Henry McCleary
Edit Profilemathematician mathematics educator
Education
Bachelor, LaSalle College, 1974; Master of Arts, Temple University, 1974; Doctor of Philosophy, Temple University, 1979.
Career
Assistant professor, Bates College, Lewiston, Maine., 1978-1979; professor, Vassar College, Poughkeepsie, New York, since 1979.
Achievements
Works
book
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Geometry from a Differentiable Viewpoint
(The development of geometry from Euclid to Euler to Lobac...)
-
Geometry from a Differentiable Viewpoint
(This book offers a new treatment of the topic, one which ...)
- Geometry from a Differentiable Viewpoint by John McCleary (2012-10-22)
-
Geometry from a Differentiable Viewpoint
Membership
Member American Mathematics Society, Math Association American.
Connections
Married Carlie Russell Graves, September 17, 1988. Children: John William Graves-McCleary, Anthony James Graves-McCleary.
