By Steven G. Krantz
This concise, well-written instruction manual presents a distillation of actual variable theory with a selected specialise in the subject's major purposes to differential equations and Fourier research. considerable examples and short explanations---with only a few proofs and little axiomatic machinery---are used to spotlight all of the significant result of actual research, from the fundamentals of sequences and sequence to the extra complex thoughts of Taylor and Fourier sequence, Baire type, and the Weierstrass Approximation Theorem. Replete with practical, significant purposes to differential equations, boundary price difficulties, and Fourier research, this detailed paintings is a pragmatic, hands-on handbook of actual research that's perfect for physicists, engineers, economists, and others who desire to use the culmination of genuine research yet who don't inevitably have the time to understand the entire theory. necessary as a finished reference, a examine consultant for college kids, or a brief overview, "A guide of actual Variables" will profit a large audience.
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A Handbook of Real Variables: With Applications to Differential Equations and Fourier Analysis by Steven G. Krantz