000 02769nam a2200385Ii 4500
001 ocn1080637488
003 EG-ScBUE
005 20220302143615.0
008 190103t2018 sz a f 001 0 eng d
020 _a9783319940625
035 _a(OCoLC)ocn1080637488
035 _a(OCoLC)1080637488
035 _a(YBP)15391731
040 _aNAM
_beng
_erda
_cNAM
_dBUB
_dEG-ScBUE
082 0 4 _222
_a515
_bASM
100 1 _aAsmar, Nakhlé H.,
_eauthor.
245 1 0 _aComplex analysis with applications /
_cNakhlé H. Asmar, Loukas Grafakos.
264 1 _aCham, Switzerland :
_bSpringer,
_c[2018]
264 4 _c©s2018
300 _aviii, 494 pages :
_billustrations ;
_c25 cm.
336 _atext
_btxt
_2rdacontent
337 _aunmediated
_bn
_2rdamedia
338 _avolume
_bnc
_2rdacarrier
490 0 _aUndergraduate texts in mathematics,
_x0172-6056
500 _aIncludes index.
500 _aIncludes Appendices.
505 0 _a1. Complex Numbers and Functions -- 2. Analytic Functions -- 3. Complex Integration -- 4. Series of Analytic Functions and Singularities -- 5. Residue Theory -- 6. Harmonic Functions and Applications -- 7. Conformal Mappings -- Appendix -- Index.
520 _aThis textbook is intended for a one semester course in complex analysis for upper level undergraduates in mathematics. Applications, primary motivations for this text, are presented hand-in-hand with theory enabling this text to serve well in courses for students in engineering or applied sciences. The overall aim in designing this text is to accommodate students of different mathematical backgrounds and to achieve a balance between presentations of rigorous mathematical proofs and applications. The text is adapted to enable maximum flexibility to instructors and to students who may also choose to progress through the material outside of coursework. Detailed examples may be covered in one course, giving the instructor the option to choose those that are best suited for discussion. Examples showcase a variety of problems with completely worked out solutions, assisting students in working through the exercises. The numerous exercises vary in difficulty from simple applications of formulas to more advanced project-type problems. Detailed hints accompany the more challenging problems. Multi-part exercises may be assigned to individual students, to groups as projects, or serve as further illustrations for the instructor. Widely used graphics clarify both concrete and abstract concepts, helping students visualize the proofs of many results.
650 7 _aMathematical analysis.
_2BUEsh
653 _bGGEN
_cFebruary2022
655 _vReading book
_934232
700 1 _aGrafakos, Loukas,
_eauthor.
942 _2ddc
_cBB
999 _c29826
_d29797