[Book] A Treatise on Advanced Calculus (Dover Books on Mathematics) Z.I.P

[DOWNLOAD] A Treatise on Advanced Calculus (Dover Books on Mathematics) Z.I.P

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B.O.O.K A Treatise on Advanced Calculus (Dover Books on Mathematics) [R.A.R]

"This book is a valuable contribution to the field of advanced calculus. It definitely bridges the gap between formal elementary work and the exacting rigor of modern analysis … it would be difficult to find better exposition at this level." ― American Mathematical MonthlyThis classic book offers a comprehensive logical treatment of the theory of calculus and related topics. Suitable for advanced undergraduates and graduate students in mathematics, it provides students with a substantial base for graduate work in physics by concentrating on theory rather than on techniques and applications.Topics include real numbers; limits of functions; exponential, logarithmic, and trigonometric functions; differentiation; complex numbers; integration; integrable functions; extensions and applications of integration; infinite series and infinite products; partial differentiation; multiple integration; sequences of functions; functions of complex variables; Fourier series and integrals; differential functions; and the Gamma function and other definite integrals. More than 600 problems amplify the text.