000 a
999 _c33123
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008 240404b xxu||||| |||| 00| 0 eng d
020 _a9789814578998
082 _a515.9
_bMAA
100 _aMaad Sasane, Sara
245 _aA friendly approach to complex analysis
260 _bWorld Scientific,
_c2014
_aSingapore :
300 _axv, 272 p. ;
_bill.,
_c23 cm.
365 _b995.00
_c
_d1.00
504 _aIncludes bibliographical references and index.
520 _aThe book constitutes a basic, concise, yet rigorous course in complex analysis, for students who have studied calculus in one and several variables, but have not previously been exposed to complex analysis. The textbook should be particularly useful and relevant for undergraduate students in joint programmes with mathematics, as well as engineering students. The aim of the book is to cover the bare bones of the subject with minimal prerequisites. The core content of the book is the three main pillars of complex analysis: the Cauchy - Riemann equations, the Cauchy Integral Theorem, and Taylor and Laurent series expansions. Each section contains several problems, which are not purely drill exercises, but are rather meant to reinforce the fundamental concepts. Detailed solutions to all the exercises appear at the end of the book, making the book ideal also for self-study. There are many figures illustrating the text.
650 _aRemovable singularity
650 _aHarmonic functions
650 _aEssential singularity
650 _aContour integral
650 _aCauchy Integral Theorem
650 _aLaurent series
650 _aHolomorphic function
700 _aSasane, Amol
942 _2ddc
_cBK