| | | 單復變函數(第2版) | 該商品所屬分類:自然科學 -> 數學 | 【市場價】 | 457-662元 | 【優惠價】 | 286-414元 | 【介質】 | book | 【ISBN】 | 7506271915 | 【折扣說明】 | 一次購物滿999元台幣免運費+贈品 一次購物滿2000元台幣95折+免運費+贈品 一次購物滿3000元台幣92折+免運費+贈品 一次購物滿4000元台幣88折+免運費+贈品
| 【本期贈品】 | ①優質無紡布環保袋,做工棒!②品牌簽字筆 ③品牌手帕紙巾
| |
版本 | 正版全新電子版PDF檔 | 您已选择: | 正版全新 | 溫馨提示:如果有多種選項,請先選擇再點擊加入購物車。*. 電子圖書價格是0.69折,例如了得網價格是100元,電子書pdf的價格則是69元。 *. 購買電子書不支持貨到付款,購買時選擇atm或者超商、PayPal付款。付款後1-24小時內通過郵件傳輸給您。 *. 如果收到的電子書不滿意,可以聯絡我們退款。謝謝。 | | | | 內容介紹 | |
![](https://bnmppic.bookuu.com/goods/15/05/25/75062719151267048-fm.jpg)
-
出版社:世界圖書出版公司
-
ISBN:7506271915
-
作者:John B.Conway
-
頁數:316
-
出版日期:2004-11-01
-
印刷日期:2004-11-01
-
包裝:平裝
-
開本:24開
-
版次:1
-
印次:1
-
This book is intended as a textbook for a first course in the theory offunctions of one complex variable for students who are mathematicallymature enough to understand and execute arguments. The actual pre-requisites for reading this book are quite minimal;not much more than astiff course in basic calculus and a few facts about partial derivatives. Thetopics from advanced calculus that are used are proved in detail.
-
Preface Ⅰ. The Complex Number System 1. The real numbers 2. The field of complex numbers 3. The complex plane 4. Polar representation and roots of complex numbers 5. Lines and half planes in the complex plane 6. The extended plane and its spherical representation Ⅱ. Metric Spaces and the Topology of C 1. Definition and examples of metric spaces 2. Connectedness 3. Sequences and completeness 4. Compactness 5. Continuity 6. Uniform convergence Ⅲ. Elementary Properties and Examples of Analytic Functions 1. Power series 2. Analytic functions 3. Analytic functions as mappings, M6bius transformations Ⅳ. Complex Integration 1.Riemann-Stieltjes integrals 2.Power series representation of analytic functions 3.Zeros of an analytic function 4.The index of a closed curve 5.Cauchy's Theorem and Integral Formula 6.The homotopic version of Cauchy's Therorem and simple connectivity 7.Counting zeros;the Open Mapping Theorem 8.Goursat's Theorem Ⅴ.Singularities 1.Classification of singularities 2.Residues 3.The Argument Principle Ⅵ.The Maximum Modulus Theorem §1.The Maximum Principle §2.Schwarz’S Lemma §3.Convex functions and Hadamard’S Three Circles Theorem §4.Phragm6n-Lindel6f Theorem Ⅶ.Compactness and Convergence in the Space of Analytic Functions §1.The space of continuous functions C(G,Q) §2.Spaces of analytic functions §3.Spaces of meromorphic functions §4.The Riemann Mapping Theorem §5.Weierstrass Factorization Theorem §6.Factorization of the sine function §7.The gamma function §8.The Ricmann zeta function Ⅷ.Runge’S Theorem §1.Runge’S Theorem §2.Simple connectedness §3.Mittag·Leffer’s Theorem Ⅸ.Analytic Continuation and Riemann SurfaCeS §1.Schwarz Reflection Principle §2.Analytic Continuation Along A Path §3.Mondromy Theorem §4.Topological Spaces and Neighborhood Systems §5.The Sheaf of Germs of Analytic Functions on an Open Set §6.Analytic ManifoIds §7.Covering spaces Ⅹ.Harmonic Functions §1.Basic Properties of harmonic functions §2.Harmonic functions on a disk §3.Subharmonic and SUPerharmonic functions §4.The Dirichlet Problem §5.Gregn’s Functions Ⅺ. Entire Functions §1.Jensen’S Formula §2.The genus and order of an entire function §3.Hadamard Factorization Theorem Ⅻ.The Range of an Analytic Function §1.Bloch’S Theorem §2.The Little Picard Theorem §3.Schottky’S Theorem §4.The Great Picard Theorem Appendix A:Calculus for Complex Valued Functions on an Interval Appendix B:Suggestions for Further Study and Bibliographical Notes References Index List of Symbols
| | | | | |