Classical Analysis av Hongwei (Department of Mathematics Christopher Newport University.) Chen

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<P>A conceptually clear induction to fundamental analysis theorems, a tutorial for creative approaches for solving problems, a collection of modern challenging problems, a pathway to undergraduate research¿all these desires gave life to the pages here.</P><P></P><P>This book exposes students to stimulating and enlightening proofs and hard problems of classical analysis mainly published in <EM>The American Mathematical Monthly</EM>. </P><P></P><P>The author presents proofs as a form of exploration rather than just a manipulation of symbols. Drawing on the papers from the Mathematical Association of America''s journals, numerous conceptually clear proofs are offered. Each proof provides either a novel presentation of a familiar theorem or a lively discussion of a single issue, sometimes with multiple derivations.</P><P></P><P>The book collects and presents problems to promote creative techniques for problem-solving and undergraduate research and offers instructors an opportunity to assig