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Advanced Calculus
A Transition to Analysis
Offers clear explanations and illustrative examples to the connections between calculus and real analysis in a rigorous one-semester text
Thomas P. Dence (Author), Joseph B. Dence (Author)
9780123749550, Elsevier Science
Hardback, published 4 February 2010
392 pages, 1 illustrations
23.4 x 19 x 2.6 cm, 0.98 kg
Advanced Calculus explores the theory of calculus and highlights the connections between calculus and real analysis – providing a mathematically sophisticated introduction to functional analytical concepts. The text is interesting to read and includes many illustrative worked-out examples and instructive exercises, and precise historical notes to aid in further exploration of calculus. It covers exponential function, and the development of trigonometric functions from the integral. The text is designed for a one-semester advanced calculus course for advanced undergraduates or graduate students.
Sets, Numbers and Functions
Sequences
Infinite Series
Continuity
Differentiation
Integration
Commutation of Limit Operations
Appendices
Subject Areas: Real analysis, real variables [PBKB]
