By Steven G. Krantz
This concise, well-written guide offers a distillation of actual variable theory with a selected concentrate on the subject's major purposes to differential equations and Fourier research. abundant examples and short explanations---with only a few proofs and little axiomatic machinery---are used to focus on all of the significant result of actual research, from the fundamentals of sequences and sequence to the extra complex recommendations of Taylor and Fourier sequence, Baire class, and the Weierstrass Approximation Theorem. Replete with reasonable, significant functions to differential equations, boundary worth difficulties, and Fourier research, this special paintings is a realistic, hands-on handbook of actual research that's perfect for physicists, engineers, economists, and others who desire to use the culmination of actual research yet who don't unavoidably have the time to understand all the theory. beneficial as a complete reference, a learn advisor for college students, or a short 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