By Steven G. Krantz
This concise, well-written guide offers a distillation of genuine variable theory with a specific specialize in the subject's major functions to differential equations and Fourier research. plentiful examples and short explanations---with only a few proofs and little axiomatic machinery---are used to spotlight the entire significant result of genuine research, from the fundamentals of sequences and sequence to the extra complicated techniques 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 distinctive paintings is a pragmatic, hands-on handbook of actual research that's excellent 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. necessary as a entire reference, a examine advisor for college kids, or a brief assessment, "A guide 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