| | | | 復分析導論 科學與自然 VolkerScheidemann[著] 世界圖書出版 | | 該商品所屬分類：圖書 -> ε | | 【市場價】 | 308-448元 | | 【優惠價】 | 193-280元 | | 【出版社】 | 世界圖書出版公司北京公司 | | 【ISBN】 | 9787510027277 | | 【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 | |
出版社：世界圖書出版公司北京公司 ISBN：9787510027277 商品編碼：70983142876 開本：16開 出版時間：2010-09-01 頁數：171 代碼：35
"| 商品基本信息，請以下列介紹為準 | | 商品名稱： | 作者： | VolkerScheidemann[著] | | 代碼： | 35.0 | | 出版社： | 圖書出版公司北京公司 | | 出版日期： | 2010-09-01 | | ISBN： | 9787510027277 | | 印次： | 1 | | 版次： | 1 | | 裝幀： | | | 開本： | 16開 |
| 內容簡介 | | The idea for this book came when I was an assistant at the Department of Mathematics and Computer Science at the Philipps-University Marburg, Germany. Several times I faced the task of supporting lectures and seminars on complex analysis of several variables and found out that there are very few books on the subject,compared to the vast amount of literature on function theory of one variable, let alone on real variables or basic algebra. Even fewer books, to my understanding,were written primarily with the student in mind. So it was quite hard to find supporting examples and exercises that helped the student to become familiar with the fascinating theory of several complex variables. |
| 目錄 | preface
1 elementary theory of several complex variables
1.1 geometry of cn
1.2 holomorphic functions in several complex variables
1.2.1 definition of a holomorphic function
1.2.2 basic properties of holomorphic functions
1.2.3 partially holomorphic functions and the cauchy-pdemann differential equations
1.3 the cauchy integral formula
1.4 o （u） as a topological space
1.4.1 locally convex spaces
1.4.2 the compact-open topology on c （u， e）
1.4.3 the theorems of arzela-ascoli and montel
1.5 power series and taylor series
1.5.1 summable families in banach spaces
1.5.2 power series
1.5.3 reinhardt domains and laurent expansion
2 continuation on circular and polycircular domains
2.1 holomorphic continuation
2.2 representation-theoretic interpretation of the laurent series
2.3 hartogs' kugelsatz， special case
3 biholomorphic maps
3.1 the inverse function theorem and implicit functions
3.2 the riemann mapping problem
3.3 cartan's uniqueness theorem
4 analytic sets
4.1 elementary properties of analytic sets
4.2 the riemann removable singularity theorems
5 hartogs' kugelsatz
5.1 holomorphic differential forms
5.1.1 multilinear forms
5.1.2 complex differential forms
5.2 the inhomogenous cauchy-riemann differential equations
5.3 dolbeaut's lemma
5.4 the kugelsatz of hartogs
6 continuation on tubular domains
6.1 convex hulls
6.2 holomorphically convex hulls
6.3 bochner's theorem
7 cartan-thullen theory
7.1 holomorphically convex sets
7.2 domains of holomorphy
7.3 the theorem of cartan-thullen
7.4 holomorphically convex reinhardt domains
8 local properties of holomorphic functions
8.1 local representation of a holomorphic function
8.1.1 germ of a holomorphic function
8.1.2 the algebras of formal and of convergent power series
8.2 the weierstrass theorems
8.2.1 the weierstrass division formula
8.2.2 the weierstrass preparation theorem
8.3 algebraic properties of c {z1，.， zn}
8.4 hilbert's nullstellensatz
8.4.1 germs of a set
8.4.2 the radical of an ideal
8.4.3 hilbert's nullstellensatz for principal ideals register of symbols
bibliography
index |
" | | |
| | | | |
|
