By Steven G. Krantz
This concise, well-written guide presents a distillation of genuine variable theory with a selected concentrate on the subject's major functions to differential equations and Fourier research. abundant examples and short explanations---with only a few proofs and little axiomatic machinery---are used to spotlight the entire significant result of actual research, from the fundamentals of sequences and sequence to the extra complicated innovations of Taylor and Fourier sequence, Baire type, and the Weierstrass Approximation Theorem. Replete with lifelike, significant functions to differential equations, boundary worth difficulties, and Fourier research, this designated paintings is a pragmatic, hands-on handbook of genuine research that's perfect for physicists, engineers, economists, and others who desire to use the end result of actual research yet who don't unavoidably have the time to understand all the theory. priceless as a complete reference, a research consultant for college kids, or a brief evaluation, "A instruction manual of genuine 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