A Complex Analysis Problem Book / by Daniel Alpay
| データ種別 | 電子書籍 |
|---|---|
| 版 | 2nd ed. 2016. |
| 出版者 | Cham : Springer International Publishing : Imprint: Birkhäuser |
| 出版年 | 2016 |
書誌詳細を非表示
| 書誌ID | OB01018218 |
|---|---|
| 本文言語 | 英語 |
| 一般注記 | Part I Complex Numbers -- Complex Numbers: Algebra -- Complex Numbers: Geometry -- Complex Numbers and Analysis -- Part II Functions of a Complex Variable -- Cauchy–Riemann Equations and C-differentiable Functions -- Cauchy’sTheorem -- Morera, Liouville, Schwarz, et les autres: First Applications -- Laurent Expansions, Residues, Singularities and Applications -- Computations of Definite Integrals Using the Residue Theorem -- Part III Applications and More Advanced Topics -- Harmonic Functions -- Conformal Mappings -- A Taste of Linear System Theory and Signal Processing -- Rational Functions -- Special Functions and Transforms -- Part IV Appendix -- Some Topology -- Some Functional Analysis Essentials -- A Brief Survey of Integration. License restrictions may limit access Summary: This second edition presents a collection of exercises on the theory of analytic functions, including completed and detailed solutions. It introduces students to various applications and aspects of the theory of analytic functions not always touched on in a first course, while also addressing topics of interest to electrical engineering students (e.g., the realization of rational functions and its connections to the theory of linear systems and state space representations of such systems). It provides examples of important Hilbert spaces of analytic functions (in particular the Hardy space and the Fock space), and also includes a section reviewing essential aspects of topology, functional analysis and Lebesgue integration. Benefits of the 2nd edition Rational functions are now covered in a separate chapter. Further, the section on conformal mappings has been expanded |
| 著者標目 | *Alpay, Daniel SpringerLink (Online service) |
| 件 名 | LCSH:Mathematics LCSH:Functions of complex variables FREE:Mathematics FREE:Functions of a Complex Variable |
| 分 類 | LCC:QA331-355 DC23:515.9 |
| 巻冊次 | ISBN:9783319421810 RefWorks出力（各巻） print ; ISBN:9783319421797 RefWorks出力（各巻） |
| 資料種別 | 機械可読データファイル |
| 所蔵情報へのリンク | A complex analysis problem book / Daniel Alpay ; : [pbk.] |
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※2020年8月16日以降