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By D. J. H. Garling

the 3 volumes of A path in Mathematical research offer a whole and precise account of all these components of actual and intricate research that an undergraduate arithmetic scholar can count on to come across of their first or 3 years of analysis. Containing 1000s of workouts, examples and purposes, those books becomes a useful source for either scholars and teachers. this primary quantity specializes in the research of real-valued services of a true variable. along with constructing the fundamental conception it describes many purposes, together with a bankruptcy on Fourier sequence. it is also a Prologue during which the writer introduces the axioms of set concept and makes use of them to build the true quantity method. quantity II is going directly to think about metric and topological areas and capabilities of numerous variables. quantity III covers advanced research and the idea of degree and integration.

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