Background
MacKenzie, Robert Earl was born on March 17, 1920 in Los Angeles, California, United States. Son of Reginald Pinney and Julia May (Kendig) MacK.
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book
Introduction to Differentiable Manifolds (Dover Books on Mathematics) by Louis Auslander, Robert E. MacKenzie (2009) Paperback
http://www.amazon.com/gp/product/B011SJF628/?tag=2022091-20
Introduction to Differentiable Manifolds (Dover Books on Mathematics)
( The first book to treat manifold theory at an introduct...)
The first book to treat manifold theory at an introductory level, this text surveys basic concepts in the modern approach to differential geometry. The first six chapters define and illustrate differentiable manifolds, and the final four chapters investigate the roles of differential structures in a variety of situations. Starting with an introduction to differentiable manifolds and their tangent spaces, the text examines Euclidean spaces, their submanifolds, and abstract manifolds. Succeeding chapters explore the tangent bundle and vector fields and discuss their association with ordinary differential equations. The authors offer a coherent treatment of the fundamental concepts of Lie group theory, and they present a proof of the basic theorem relating Lie subalgebras to Lie subgroups. Additional topics include fiber bundles and multilinear algebra. An excellent source of examples and exercises, this graduate-level text requires a solid understanding of the basic theory of finite-dimensional vector spaces and their linear transformations, point-set topology, and advanced calculus.
http://www.amazon.com/gp/product/0486471721/?tag=2022091-20
Robert Earl MacKenzie
Edit ProfileEducation
Bachelor of Science in Physics, California Institute of Technology, 1942. Doctor of Philosophy in Mathematics, Princeton, 1950.
Career
Physicist, Naval Ordnance Laboratory, Washington, 1942-1945; instructor, Indiana U., Bloomington, 1950-1954; assistant professor, Indiana U., Bloomington, 1954-1961; associate professor, Indiana U., Bloomington, 1961-1990.
Achievements
Works
book
-
Introduction to Differentiable Manifolds (Dover Books on Mathematics)
( The first book to treat manifold theory at an introduct...)
- Introduction Ot Differentiable Manifolds
- Introduction to Differentiable Manifolds (Dover Books on Mathematics) by Louis Auslander, Robert E. MacKenzie (2009) Paperback
-
Introduction to Differentiable Manifolds (Dover Books on Mathematics)
Membership
With United States Navy, 1945.
Connections
Married Mildred Cheatham, June 19, 1950. Children: Nona, Charlotte, Delia, Robin.
