{"product_id":"complex-variables-robert-b-ash-9780486462509","title":"Complex Variables","description":"This text on complex variables is geared toward graduate students and undergraduates who have taken an introductory course in real analysis. It is a substantially revised and updated edition of the popular text by Robert B. Ash, offering a concise treatment that provides careful and complete explanations as well as numerous problems and solutions.\u003cbr\u003eAn introduction presents basic definitions, covering topology of the plane, analytic functions, real-differentiability and the Cauchy-Riemann equations, and exponential and harmonic functions. Succeeding chapters examine the elementary theory and the general Cauchy theorem and its applications, including singularities, residue theory, the open mapping theorem for analytic functions, linear fractional transformations, conformal mapping, and analytic mappings of one disk to another. The Riemann mapping theorem receives a thorough treatment, along with factorization of analytic functions. As an application of many of the ideas and results appearing in earlier chapters, the text ends with a proof of the prime number theorem.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Robert B. Ash,W. P. Novinger\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 0486462501\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9780486462509\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Dover Publications\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 10\/19\/2007\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 224\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.91lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.07h x 6.48w x 0.57d","brand":"Robert B. Ash","offers":[{"title":"Paperback","offer_id":48443499282687,"sku":"9780486462509","price":18.95,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_9717b880-512d-4035-988c-0f180b7174c7.jpg?v=1777205897","url":"https:\/\/www.whiterainbookhouse.com\/products\/complex-variables-robert-b-ash-9780486462509","provider":"WR Book House","version":"1.0","type":"link"}