{"product_id":"a-second-course-in-complex-peter-v-dovbush-9781041197140","title":"A Second Course in Complex Analysis","description":"\u003cp\u003eFew other books purport to be a second course in complex analysis. This book differs in that it covers more modern topics and is more geometric in focus. Most texts on complex variable theory contain the same material. However, complex analysis is a vast and diverse subject with a long history and many aspects. A second course will benefit students and introduce these new topics that they might not otherwise experience. \u003c\/p\u003e\u003cp\u003eLars Ahlfors alone invented many new parts of the subject; Lipman Bers made decisive contributions, and there are many others. It is easy to justify a \"second course\" in complex analysis. That is what this book purports to be.\u003c\/p\u003e\u003cp\u003eSome of the topics presented here are: \u003c\/p\u003e\u003cul\u003e \u003cli\u003eharmonic measure\u003c\/li\u003e \u003cli\u003eextremal length\u003c\/li\u003e \u003cli\u003eRiemann surfaces\u003c\/li\u003e \u003cli\u003euniformization\u003c\/li\u003e \u003cli\u003eautomorphism groups\u003c\/li\u003e \u003cli\u003ethe Schwarz lemma and its generalizations\u003c\/li\u003e \u003cli\u003eanalytic capacity\u003c\/li\u003e \u003cli\u003ethe Bergman theory\u003c\/li\u003e \u003cli\u003einvariant metrics\u003c\/li\u003e \u003cli\u003ePicard's theorem\u003c\/li\u003e \u003cli\u003ethe boundary Schwarz lemma\u003c\/li\u003e \u003c\/ul\u003e\u003cp\u003eThe goal is to expose the reader to unfamiliar parts of the subject of complex variables and perhaps to pique interest in further reading. As with the authors' other books, not only theorems and proofs are included, but also many examples and some exercises. Numerous graphics illustrate the key ideas.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Peter V. Dovbush,Steven G. Krantz\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 1041197144\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9781041197140\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e CRC Press\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 04\/23\/2026\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 444\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.81lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.21h x 6.14w x 1.00d","brand":"Peter V. Dovbush","offers":[{"title":"Hardcover","offer_id":48997232574719,"sku":"9781041197140","price":126.99,"currency_code":"USD","in_stock":true}],"url":"https:\/\/www.whiterainbookhouse.com\/products\/a-second-course-in-complex-peter-v-dovbush-9781041197140","provider":"WR Book House","version":"1.0","type":"link"}