This book is designed to be an easily readable, intimidation-free guide to advanced calculus. Ideas and methods of proof build upon each other and are explained thoroughly. This is the first book to cover both single and multivariable analysis in such a clear, reader-friendly setting. Chapter topics cover sequences, limits of functions, continuity, differentiation, integration, infinite series, sequences and series of functions, vector calculus, functions of two variables, and multiple integration. For individuals seeking math fun at a higher level.

1. Leaving Mathematics for Philosophy 2. Role of Integrable Models in the Development of Mathematics 3. The Current State and Prospects of Geometry and Nonlinear Differential Equaiotns 4. Noncommutative Geometry 5. Theory of Computation 6. Knots in Mathematics and Physics 7. Recent Progress in Diophantine Geometry 8. Round-Table Discussion 9. List of Participants

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