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_b eng
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010 _z 2021000399
020 _a9789811225864
_q(ebook)
020 _z9789811225857
_q(hbk.)
020 _z9789811227691
_q(pbk.)
050 0 0 _aQA300
_b.S963 2021
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082 0 0 _a515/.9
_223
100 1 _aSwanson, Irena.
_921193
245 1 0 _aIntroduction to analysis with complex numbers
_h[electronic resource] /
_cby Irena Swanson.
260 _aSingapore ;
_aNew Jersey :
_bWorld Scientific,
_c2021.
300 _a1 online resource (xii, 442 p.)
504 _aIncludes bibliographical references and index.
505 0 _aHow we will do mathematics -- Concepts with which we will do mathematics -- Construction of the number systems -- Limits of functions -- Continuity -- Differentiation -- Integration -- Sequences -- Infinite series and power series -- Exponential and trigonometric functions -- Appendix A : advice on writing mathematics -- Appendix B : what one should never forget.
520 _a"This is a self-contained book that covers the standard topics in introductory analysis and that in addition, constructs the natural, rational, real and complex numbers, also handles complex-valued functions, sequences, and series. The book teaches how to write proofs. Fundamental proof-writing logic is covered in Chapter 1 and is repeated and enhanced in two appendices. Many examples of proofs appear with words in a different font for what should be going on in the proof writer's head. The book contains many examples and exercises to solidify the understanding. The material is presented rigorously with proofs and with many worked-out examples. Exercises are varied, many involve proofs, and some provide additional learning materials"--Publisher's website.
538 _aMode of access: World Wide Web.
538 _aSystem requirements: Adobe Acrobat Reader.
650 0 _aMathematical analysis.
_911486
650 0 _aNumbers, Complex.
_916804
655 0 _aElectronic books.
_93294
856 4 0 _uhttps://www.worldscientific.com/worldscibooks/10.1142/11983#t=toc
_zAccess to full text is restricted to subscribers.
942 _cEBK
999 _c72766
_d72766