Bridging the gap between calculus and further abstract topics this book presents a well organized and much needed introduction to the foundations of analysis. It is composed of three sections: the analysis of functions of one real variable, including an introduction to the Lebesgue integral; how the appropriate abstractions lead to a powerful and widely applicable theoretical foundation for all branches of applied mathematics; an outlook to applied subjects in which analysis is used.
Original, effective approach teaches by explaining worked examples in detail. "Every step in the mathematical process is explained, its purpose and necessity made clear ... the reader not only has no difficulty in following the rigorous proofs, but even turns to them with eager expectation.
This latest edition of the Bloom's Notes series focuses on John Steinbeck's Of Mice and Men. Numerous critical essays examine various aspects of the piece, including the unrealistic characters, dramatic elements, the novel as a comedy, the unity of the novel, and more. The text includes a brief biography of Steinbeck, as well as structural and thematic analysis of the novel.
Carson McCullers depicts life in a small town in the south with startling clarity and vision. The Member of the Wedding is the coming of age story of frankie Adams, a lonely Georgian girl in the throes of adolescence. Summaries with analysis, review and explain the work, enhancing the reader's understanding.
Designed for a one-semester advanced calculus course, 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.
