Table of Contents

Introduction: Sets and Functions.- The Real Line and Euclidean Space.- Topology of Euclidean Space.- Compact and Connected Sets.- Continuous Mappings.- Uniform Convergence.- Differentiable Mappings.- The Inverse and Implicit Function Theorems and Related Topics.- Fubini's Theorem and the Change of Variables Formula.- Fourier Analysis.- Answers to Selected Exercises.- Index.

About the Author

Jerrold Eldon Marsden was the Carl F. Braun Professor of Engineering and Control & Dynamical Systems at the California Institute of Technology. Marsden is listed as an ISI highly cited researcher.