000 01658nam a22002177a 4500
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020 _a9783319681696 (PB)
041 _aeng
080 _a517
_bISA
100 _aIsaev, Alexander
245 _aTwenty-One Lectures on Complex Analysis
_b: A First Course
260 _aCham
_bSpringer
_c2017
300 _axii, 194p.
490 _aSpringer Undergraduate Mathematics Series
504 _aIncludes Index
520 _aAt its core, this concise textbook presents standard material for a first course in complex analysis at the advanced undergraduate level. This distinctive text will prove most rewarding for students who have a genuine passion for mathematics as well as certain mathematical maturity. Primarily aimed at undergraduates with working knowledge of real analysis and metric spaces, this book can also be used to instruct a graduate course. The text uses a conversational style with topics purposefully apportioned into 21 lectures, providing a suitable format for either independent study or lecture-based teaching. Instructors are invited to rearrange the order of topics according to their own vision. A clear and rigorous exposition is supported by engaging examples and exercises unique to each lecture; a large number of exercises contain useful calculation problems. Hints are given for a selection of the more difficult exercises. This text furnishes the reader with a means of learning complex analysis as well as a subtle introduction to careful mathematical reasoning.
650 _aMathematical Analysis
650 _aComplex Analysis
690 _aMathematics
942 _cBK
999 _c60512
_d60512