Complex Analysis: A First Course with Applications (Hardcover)

Dennis G. Zill, Patrick D. Shanahan

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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:應用導論》是一本真正易於理解的複變分析基本原理和應用的入門書。本書針對具有微積分背景但沒有複變分析經驗的大學生,以學生友好的方式討論了最相關的數學主題的理論。通過大量的例子、插圖和應用,以清晰直接的寫作風格介紹概念。文本的每個部分都包含一個廣泛的練習集,其中包含一系列的計算、概念和幾何問題。在文本和練習中,學生通過多個證明得到引導和支持,從而獲得更高水平的數學洞察力和成熟度。每章都包含一個專門介紹複變分析應用於科學和工程的部分,為學生提供了發展實際和清晰理解複變分析的機會。新的和關鍵特點:清晰的陳述,並支持大量的例子廣泛的練習集,包含計算和概念問題 整本書都涉及科學和工程的應用 新的和修訂的問題和練習集 整本書的部分內容和例子已經修訂或重寫,以澄清或擴展所討論的主題 第二版的Mathematica語法已經更新,以與軟件的第8版相一致。