Complex Analysis with Applications. 1st ed. 2018

種類:

電子ブック

責任表示:

by Nakhlé H. Asmar, Loukas Grafakos

出版情報:

Cham : Springer International Publishing : Imprint: Springer, 2018

著者名:

• Asmar, Nakhlé H.
• Grafakos, Loukas.
• SpringerLink (Online service)

シリーズ名:

Undergraduate Texts in Mathematics ;

ISBN:

9783319940632 [3319940635]    

注記:

1. 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.
This 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 proje

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