{"product_id":"complex-variables-9781470409159","title":"Complex Variables","description":"\u003cp\u003e • Author(s): Joseph L. Taylor\u003cbr\u003e • Publisher: Orient Blackswan Pvt Ltd\u003cbr\u003e • Publisher Imprint: Orient Blackswan Pvt Ltd\u003cbr\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eThe text covers a broad spectrum between basic and advanced \u003cstrong\u003ecomplex variables\u003c\/strong\u003e on the one hand and between theoretical and applied or computational material on the other hand. With careful selection of the emphasis put on the various sections, examples, and exercises, the book can be used in a one- or two-semester course for undergraduate mathematics majors, a one-semester course for engineering or physics majors, or a one-semester course for first-year mathematics graduate students. It has been tested in all three settings at the University of Utah.\u003c\/p\u003e\u003cp\u003eThe exposition is clear, concise, and lively. There is a clean and modern approach to Cauchy's theorems and Taylor series expansions, with rigorous proofs but no long and tedious arguments. This is followed by the rich harvest of easy consequences of the existence of power series expansions.\u003c\/p\u003e\u003cp\u003eThrough the central portion of the text, there is a careful and extensive treatment of residue theory and its application to computation of integrals, conformal mapping and its applications to applied problems, analytic continuation, and the proofs of the Picard theorems.\u003c\/p\u003e \u003cp\u003eChapter 8 covers material on infinite products and zeroes of entire functions. This leads to the final chapter which is devoted to the Riemann zeta function, the Riemann Hypothesis, and a proof of the Prime Number Theorem. \u003c\/p\u003e","brand":"Orient Blackswan Pvt Ltd","offers":[{"title":"Paperback","offer_id":45616510238871,"sku":"9781470409159","price":847.0,"currency_code":"INR","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9781470409159.webp?v=1769294983","url":"https:\/\/atlanticbooks.com\/products\/complex-variables-9781470409159","provider":"Atlantic Books","version":"1.0","type":"link"}