By Steven G. Krantz
This concise, well-written guide presents a distillation of genuine variable theory with a specific specialize in 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 all of the significant result of actual research, from the fundamentals of sequences and sequence to the extra complicated ideas of Taylor and Fourier sequence, Baire class, and the Weierstrass Approximation Theorem. Replete with reasonable, significant functions to differential equations, boundary price difficulties, and Fourier research, this particular paintings is a pragmatic, hands-on guide of genuine research that's perfect for physicists, engineers, economists, and others who desire to use the culmination of genuine research yet who don't unavoidably have the time to understand the entire theory. worthwhile as a finished reference, a learn consultant for college students, or a short evaluate, "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