{"product_id":"9783319803456","title":"Introduction to Calculus and Classical Analysis","description":"\u003ch3\u003eUndergraduate Texts in Mathematics\u003c\/h3\u003e\u003ch1\u003eIntroduction to Calculus and Classical Analysis\u003c\/h1\u003e\u003ch3\u003eOmar Hijab\u003c\/h3\u003e\u003cdiv\u003e\u003cb\u003eMathematics \/ Mathematical Analysis\u003c\/b\u003e\u003c\/div\u003e\u003cbr\u003e\u003cdiv\u003e\n\u003cp\u003eInvolving rigorous analysis, computational dexterity, and a breadth of applications, this text is ideal for an undergraduate honors calculus course or for an introduction to analysis. This fourth edition includes corrections as well as some additional material.\u003c\/p\u003e\n\u003cp\u003eSome features of the text:\u003c\/p\u003e\n\u003cp\u003e\u003c\/p\u003e\n\u003cul\u003e\n\u003cli\u003eThe text is completely self-contained and starts with the real number axioms;\u003c\/li\u003e\n\u003cli\u003eThe integral is defined as the area under the graph, while the area is defined for every subset of the plane;\u003c\/li\u003e\n\u003cli\u003eThere is a heavy emphasis on computational problems, from the high-school quadratic formula to the formula for the derivative of the zeta function at zero;\u003c\/li\u003e\n\u003cli\u003eThere are applications from many parts of analysis, e.g., convexity, the Cantor set, continued fractions, the AGM, the theta and zeta functions, transcendental numbers, the Bessel and gamma functions, and many more;\u003c\/li\u003e\n\u003cli\u003eTraditionally transcendentally presented material, such as infinite products, the Bernoulli series, and the zeta functional equation, is developed over the reals;\u003c\/li\u003e\n\u003cli\u003eself-contained treatment of the fundamental theorems of calculus in the general case using the Sunrise Lemma\u003c\/li\u003e\n\u003cli\u003eThere are 450 problems with all the solutions at the back of the text.\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003cp\u003e\u003c\/p\u003e\n\u003cp\u003eReviews from previous editions:\u003cbr\u003e\u003c\/p\u003e\n\u003cp\u003e\"This is a very intriguing, decidedly unusual, and very satisfying treatment of calculus and introductory analysis. It's full of quirky little approaches to standard topics that make one wonder over and over again, 'Why is it never done like this?'\"\u003c\/p\u003e\n\u003cp\u003e\u003c\/p\u003e\n\u003cp\u003e\u003ci\u003e—\u003c\/i\u003eJohn Allen Paulos, author of \u003ci\u003eIn\u003c\/i\u003e\u003ci\u003enumeracy\u003c\/i\u003e and \u003ci\u003eA Mathematician Reads the Newspaper\u003c\/i\u003e\u003c\/p\u003e\n\u003cp\u003e\"Chapter 5 is... an astonishing tour de force\"\u003c\/p\u003e\n\u003cp\u003e\u003ci\u003e—\u003c\/i\u003eSteven G. Krantz, \u003ci\u003eThe American Mathematical Monthly\u003c\/i\u003e\u003c\/p\u003e\n\u003cp\u003e\u003ci\u003e\"\u003c\/i\u003eFor a treatment [of infinite products and the Bernoulli series] that is very close to Euler’s and even more elementary...\" —\u003cv. s. varadarajan\u003eBulletin of the American Mathematical Society\u003c\/v.\u003e\u003c\/p\u003e\n\u003cp\u003e\u003c\/p\u003e\n\u003c\/div\u003e\u003cdiv\u003eOmar Hijab is Professor of Mathematics and Associate Dean for Faculty Affairs, Information Technology, and Operations in the College of Science and Technology at Temple University. He received his Ph.D. in Mathematics from the University of California, Berkeley, and has served previously as Chair of the Department of Mathematics at Temple University. His research interests include systems theory and control; probability theory and stochastic processes; differential equations; mathematical physics; and optimization.\u003c\/div\u003e\u003cbr\u003e\u003ctable\u003e\n\u003ctr\u003e\n\u003ctd\u003ePublication Date: \u003c\/td\u003e\n\u003ctd\u003e30 March 2018\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003ePublisher: \u003c\/td\u003e\n\u003ctd\u003eSpringer International Publishing\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eImprint: \u003c\/td\u003e\n\u003ctd\u003eSpringer\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eISBN-13: \u003c\/td\u003e\n\u003ctd\u003e9783319803456\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eFormat: \u003c\/td\u003e\n\u003ctd\u003ePaperback softback\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003ePage Count: \u003c\/td\u003e\n\u003ctd\u003e427\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003c\/table\u003e","brand":"Springer International Publishing","offers":[{"title":"Default Title","offer_id":46540660342924,"sku":"9783319803456","price":53.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783319803456_a6c5ce6b-418a-4a48-b4a2-47866530bf2d.jpg?v=1784762178","url":"https:\/\/lateknightbooks.com\/products\/9783319803456","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}