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020 _a9781470409128
040 _aNISER LIBRARY
_beng
_cNISER LIBRARY
082 _a517.55
_bDAN-I
100 _aD'Angelo, John P.
245 _aIntroduction to complex analysis and geometry
260 _aProvidence :
_bAmerican Mathematical Society,
_c2013.
300 _axi, 163p.
_bill. ;
_c27 cm.
490 _aPure and applied undergraduate texts ;
_v12
504 _aIncludes bibliographical references (p. 159-160) and index.
520 _aAn Introduction to Complex Analysis and Geometry provides the reader with a deep appreciation of complex analysis and how this subject fits into mathematics. The book developed from courses given in the Campus Honors Program at the University of Illinois Urbana-Champaign. These courses aimed to share with students the way many mathematics and physics problems magically simplify when viewed from the perspective of complex analysis. The book begins at an elementary level but also contains advanced material. The first four chapters provide an introduction to complex analysis with many elementary and unusual applications. Chapters 5 through 7 develop the Cauchy theory and include some striking applications to calculus. Chapter 8 glimpses several appealing topics, simultaneously unifying the book and opening the door to further study. The 280 exercises range from simple computations to difficult problems. Their variety makes the book especially attractive. A reader of the first four chapters will be able to apply complex numbers in many elementary contexts. A reader of the full book will know basic one complex variable theory and will have seen it integrated into mathematics as a whole. Research mathematicians will discover several novel perspectives.
521 _aUndergraduate students interested in complex analysis.
650 0 _aFunctions of complex variables.
650 0 _aGeometry, Algebraic.
650 0 _aSequences (Mathematics)
856 _3Table of Content
_uhttps://www.ams.org/bookstore/pspdf/amstext-12-toc.pdf?_gl=1*g0s1fc*_ga*OTY4OTA1OTY3LjE3MTc5OTU1MTY.*_ga_26G4XFTR63*MTcxNzk5NTUxNi4xLjEuMTcxNzk5ODA3Mi4wLjAuMA..
856 _3Reviews
_uhttps://www.goodreads.com/book/show/9705885-an-introduction-to-complex-analysis-and-geometry-pure-and-applied-under?from_search=true&from_srp=true&qid=Micrsm8HuB&rank=1#CommunityReviews
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