电大《复变函数》作业答案参考小抄

电大复变函数作业答案参考小抄第1章 复数与复变函数一、单项选择题1、C 2、D 3、D 4、C二、填空题1、2xy 2 3、连通的开集4、。三、计算题1、解：令2、解：3、解则。4、解：四、证明题1、证明：则2、证明第2章 解析函数一、单项选择题1、D 2、D 3、C 4、C二、填空题1、不解析 2、及其领域内可导 3、 4、三、计算题1、解：2、解：3、见课本79页例2.8。4、解：依CR条件 四、证明题1、证明：2、证明：第3章 初等函数一、单项选择题1、A 2、D 3、B 4、A二、填空题1、 2、 3、 4、三、计算题1、解：。2、解：3、解：4、解：四、证明题1、证明：所以命题得证。2、证明：命题得证。第4章 解析函数的积分理论一、单项选择题1、D 2、A 3、B 4、A二、填空题1、 2、ML 3、7 4、三、计算题1、解：积分路径的参数方程为： 2、解: 3、解： .4、解、四、证明题1、证明：2.证：设由圆周围成的区域为，易知，为有界闭区域因函数在内不是常数，在内解析，且在有界闭区域上连续，所以，由最大模原理有 这表明在内取不到最大值，故它只能在的边界上取到最大值，即在圆周上必存在一点，使得，且有 故结论得证第5章 解析函数的幂级数表示一、单项选择题1、B 2、B 3、D 4、C二-填空题1、 2、一 3、0 4、一三、计算题四、证明题第6章 解析函数的罗朗级数表示一、单项选择题1、D 2、C 3、D 4、B二、填空题1、 2、 3、一 4、本性三、计算题四、证明题第七章 残数及其应用一、 单项选择题1、B 2、A 3、A 4、C二、填空题1、 2 3、4 4、0三、计算题四、证明题第8章一、单项选择题1、C 2、D 3、D 4、D二、填空题1、单叶、保角 2、解析、不为零 3、 4、三、计算题 四、证明题Visa-free policy brings Chengdu biz, tourism boost. Making national headlines several times, Chengdus 72-hour visa-free policy has attracted wide attention from both Chinese and foreign experts and businessmen since it took effect on Sept 1 last year. The program permits citizens from 51 countries and regions including the United States, Australia, Canada and Japan who have valid visas and flight tickets to a third country to spend three days in the city. The capital of Sichuan province is the first city in the western region of China to offer foreign tourists a three-day visa and the fourth nationwide to adopt the policy following Shanghai, Beijing and Guangzhou. Li Zhiyong, deputy dean of the tourism institute at Sichuan University, said the move contributes to a large increase in the number of overseas tourists and raises the citys level of internationalization. The policy will also bring direct economic revenue, Li said. Chengdu has many cultural legacies and is also a paradise for panda lovers with the worlds largest breeding and research center. Three days are long enough for foreign visitors to visit those iconic tourist spots, he noted. The city is home to the remains of the Jin sha civilization that dates back more than 3,000 years as well as the Qing cheng Mountains and the Du jiang yan irrigation system. Qing cheng has long been recognized as the birthplace of Taoism, Chinas ancient indigenous religion, while Du jiang yan is considered to be the oldest functioning water-control project in the world. Chengdu ranked third in tourist facilities, management and services among 60 Chinese cities in a customer satisfaction survey released last year. But, Li added that efforts are still needed to develop more tourism products, improve English services and provide accurate translation of traffic signs and scenic billboards. Zhao Yun, chairwoman of British Chamber of Commerce Southwest China, told China Daily that his colleagues found the policy very convenient. A British client once flew here and stayed for just one day to check her ordered goods, she said. Zhao was born in Shanxi province, but she has lived in Chengdu for more than 10 years. My life was like a running race moving from place to place. I also lived in Beijing and Shanghai before, she said. But Chengdu is a place that you never want to leave once settling down. It is now my second hometown, she said. If the environment is further improved, the city will attract more people to visit and live, with the 72-hour visa-free policy and compelling conditions in transportation, culture, climate and cuisine, he said. Foreigners also gave positive feedback on the policy. A spokesman from Dell Inc said the company has a global hub of operation in Chengdu, so the three-day visa has an immediate and positive influence on the companys business development. Rudy Buttignol, president of the public broadcasting company in British Columbia, Canada, said his work requires frequent travel to Chengdu and the policy makes the trips easier. Data from the citys public security bureau shows some 100 foreign visitors enjoyed the 72-hour policy by the end of March, most of them from the United States, the United Kingdom and Germany. Chengdu also reported robust growth in its overall tourist industry last year. Official statistics show that it received some 150 million tourists last year, an increase of 28 percent from 2012. Around 1.7 million came from abroad, an increase of 12 percent. Total revenue from tourism surpassed 133 billion yuan ($21.7billion). During his visit to Kazakhstan in September, Chinese President Xi Jinping proposed that China and Central Asia join hands to build a Silk Road economic belt to boost cooperation. The idea has been widely echoed in Central Asian countries, becoming an encouraging blueprint for Chinese areas along the Silk Road that has linked Asia and Europe for more than 2,000 years. In the next three weeks, China Daily reporters will travel through the belt in China and in Kazakhstan, Uzbekistan and Turkey. They will show the progress and expectations of the countries, businesses and peoples on the route. Shaanxi - the start of the ancient Silk Road - has positioned itself as the new starting point for the development of the Silk Road Economic Belt, which will strengthen Chinas cooperation with Central Asian countries, a senior official said. Shaanxi Governor Lou Qinjian said the province is fresh, rich and unique, as it was when it anchored one end of the ancient Silk Road. It is the best option for accommodating industrial transfers from East China or the world at large, he said on Wednesday in Xian.Lou held a joint interview with 27 media, including China Daily, the first in a series of interviews entitled Chinese Media Along the Silk Road. The interviews will be in Shaanxi and Gansu provinces and the Xinjiang Uygur autonomous region, as well as Kazakhstan, Uzbekistan and Turkey. The media group held the first interview on Wednesday morning in Xian, the starting point of the ancient Silk Road, a trade channel established more than 2,000 years ago linking China, Central Asia and Europe.