{"product_id":"real-analysis-9780821836705","title":"Real Analysis","description":"\u003cdiv class=\"book-description\"\u003e\n\u003cp\u003e\u003cstrong\u003eReal Analysis\u003c\/strong\u003e by Frank Morgan. Hardcover edition. ISBN: 9780821836705.\u003c\/p\u003e\n\u003cp\u003eThis book is written by award-winning author, Frank Morgan. It offers a simple and sophisticated point of view, reflecting Morgans insightful teaching, lecturing, and writing style. Intended for undergraduates studying real analysis, this book builds the theory behind calculus directly from the basic concepts of real numbers, limits, and open and closed sets in $\\mathbb{R}^n$. It gives the three characterizations of continuity: via epsilon-delta, sequences, and open sets. It gives the three characterizations of compactness: as \"closed and bounded,\" via sequences, and via open covers. Topics include Fourier series, the Gamma function, metric spaces, and Ascolis Theorem. This concise text not only provides efficient proofs, but also shows students how to derive them. The excellent exercises are accompanied by select solutions. Ideally suited as an undergraduate textbook, this complete book on real analysis will fit comfortably into one semester. Frank Morgan received the first Haimo Award for distinguished college teaching from the Mathematical Association of America. He has also garnered top teaching awards from Rice University (Houston, TX) and MIT (Cambridge, MA).\u003c\/p\u003e\n\u003c\/div\u003e","brand":"Brand: American Mathematical Society","offers":[{"title":"Default Title","offer_id":45213407445045,"sku":"ByrdShop_0821836706","price":91.61,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0627\/8139\/0901\/files\/9780821836705_1d0cece1-4de4-4f2a-b8c1-682df65dbbfa.jpg?v=1778933541","url":"https:\/\/atxbooks.com\/products\/real-analysis-9780821836705","provider":"ATX Books","version":"1.0","type":"link"}