Introductory Course on Differentiable Manifolds Shahshahani Siavash
Introductory Course on Differentiable Manifolds Shahshahani Siavash Based on author Siavash Shahshahani's extensive teaching experience, this volume presents a thorough, rigorous course on the theory…
Specifikacia Introductory Course on Differentiable Manifolds Shahshahani Siavash
Introductory Course on Differentiable Manifolds Shahshahani Siavash
Based on author Siavash Shahshahani's extensive teaching experience, this volume presents a thorough, rigorous course on the theory of differentiable manifolds. More than 200 exercises offer students ample opportunity to gauge their skills and gain additional insights.The four-part treatment begins with a single chapter devoted to the tensor algebra of linear spaces and their mappings. Geared toward advanced undergraduates and graduate students in mathematics, the treatment's prerequisites include a strong background in undergraduate mathematics, including multivariable calculus, linear algebra, elementary abstract algebra, and point set topology.
Part III, involving manifolds and vector bundles, develops the main body of the course. Part II brings in neighboring points to explore integrating vector fields, Lie bracket, exterior derivative, and Lie derivative. The final chapter
Calculus On Manifolds
Analysis On Manifolds
Analysis On Manifolds
Tensor Analysis on Manifolds
Stochastic Analysis on Manifolds
Crash Course on Crises