This thorough, rigorous course on the theory of differentiable manifolds requires a strong background in undergraduate mathematics, including multivariable calculus, linear algebra, elementary abstract algebra, and point-set topology. Suitable for advanced undergraduates and graduate students, the detailed treatment is enhanced with philosophical and historical asides and includes more than 200 exercises. 2016 edition.
Siavash Shahshahani studied at Berkeley with Steve Smale and received his PhD in 1969, after which he held positions at Northwestern and the University of Wisconsin, Madison. From 1974 until his 2012 retirement he was mainly at Sharif University of Technology in Tehran, Iran, where he helped develop a strong mathematics program.