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. plentiful examples and short explanations---with only a few proofs and little axiomatic machinery---are used to focus on the entire significant result of actual research, from the fundamentals of sequences and sequence to the extra complex innovations of Taylor and Fourier sequence, Baire classification, and the Weierstrass Approximation Theorem. Replete with practical, significant functions to differential equations, boundary worth difficulties, and Fourier research, this designated paintings is a pragmatic, hands-on guide of actual research that's excellent for physicists, engineers, economists, and others who desire to use the end result of genuine research yet who don't unavoidably have the time to understand all the theory. necessary as a complete reference, a research consultant for college kids, or a brief evaluation, "A instruction manual of actual Variables" will gain a large audience.
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A Handbook of Real Variables: With Applications to Differential Equations and Fourier Analysis by Steven G. Krantz