Intermediate Mathematical Analysis presentsadvanced topics such as continuity, uniform continuity, tests of convergence of series, uniform convergence of series, power series, polynomial approximations and Fourier series in a more general setting. Metric and Normed Linear Spaces are introduced at an early stage and are used wherever found advantageous.
The book places a consistent emphasis on showing the power of the classical analysis by applying it to the study of real valued functions and their applications.
Requiring only a nodding acquaintance with ? ? type arguments and definition of Riemann integral, the book will provide sufficient background material for studies in Functional Analysis, Topology, Complex Analysis, Theory of Differential Equations and so on.
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