Complex Analysis: A First Course with Applications (Hardcover)
暫譯: 複變分析:應用的入門課程(精裝版)

Dennis G. Zill, Patrick D. Shanahan

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商品描述

Complex Analysis: A First Course with Applications is a truly accessible introduction to the fundamental principles and applications of complex analysis. Designed for the undergraduate student with a calculus background but no prior experience with complex analysis, this text discusses the theory of the most relevant mathematical topics in a student-friendly manner. With a clear and straightforward writing style, concepts are introduced through numerous examples, illustrations, and applications. Each section of the text contains an extensive exercise set containing a range of computational, conceptual, and geometric problems. In the text and exercises, students are guided and supported through numerous proofs providing them with a higher level of mathematical insight and maturity. Each chapter contains a separate section devoted exclusively to the applications of complex analysis to science and engineering, providing students with the opportunity to develop a practical and clear understanding of complex analysis. New and Key Features: Clarity of exposition supported by numerous examples Extensive exercise sets with a mix of computational and conceptual problems Applications to science and engineering throughout the text New and revised problems and exercise sets throughout Portions of the text and examples have been revised or rewritten to clarify or expand upon the topics at hand The Mathematica syntax from the second edition has been updated to coincide with version 8 of the software.

商品描述(中文翻譯)

《複變分析:應用的第一課程》是一本真正易於理解的複變分析基本原理及應用的入門書籍。這本書專為具有微積分背景但對複變分析沒有先前經驗的本科生設計,內容以學生友好的方式討論最相關的數學主題理論。書中以清晰簡單的寫作風格,透過大量的例子、插圖和應用來介紹概念。每個章節都包含一組廣泛的練習題,涵蓋計算、概念和幾何問題的範疇。在文本和練習中,學生們通過眾多的證明獲得指導和支持,從而提升他們的數學洞察力和成熟度。每章都有一個專門的部分,專注於複變分析在科學和工程中的應用,讓學生有機會發展對複變分析的實用和清晰理解。

新特點和關鍵特徵:
- 以大量例子支持的清晰闡述
- 包含計算和概念問題的廣泛練習題集
- 整本書中都有科學和工程的應用
- 全書的新問題和修訂的練習題集
- 部分文本和例子已被修訂或重寫,以澄清或擴展當前主題
- 第二版的Mathematica語法已更新,以符合該軟體的第8版。