相關主題
商品描述
Modern Real and Complex Analysis Thorough, well-written, and encyclopedic in its coverage, this textoffers a lucid presentation of all the topics essential to graduatestudy in analysis. While maintaining the strictest standards ofrigor, Professor Gelbaum's approach is designed to appeal tointuition whenever possible. Modern Real and Complex Analysisprovides up-to-date treatment of such subjects as the Daniellintegration, differentiation, functional analysis and Banachalgebras, conformal mapping and Bergman's kernels, defectivefunctions, Riemann surfaces and uniformization, and the role ofconvexity in analysis. The text supplies an abundance of exercisesand illustrative examples to reinforce learning, and extensivenotes and remarks to help clarify important points.
商品描述(中文翻譯)
《現代實變與複變分析》
這本書內容全面、寫作精良，且具百科全書式的涵蓋範圍，提供了所有研究分析所需主題的清晰呈現。儘管保持最嚴格的嚴謹標準，Gelbaum 教授的教學方法旨在盡可能地吸引直覺。《現代實變與複變分析》對於如 Daniell 積分、微分、函數分析與巴拿赫代數、保形映射與伯格曼核、缺陷函數、黎曼曲面與統一化，以及凸性在分析中的角色等主題提供了最新的處理。該書提供了大量的練習題和示例來加強學習，並附有廣泛的註解和說明，以幫助澄清重要觀點。
作者簡介
BERNARD R. GELBAUM is Professor of Mathematics at the State University of New York at Buffalo. He has previously served on the faculties of the University of Minnesota, the University of California, Irvine, and as a Fulbright Senior Scholar at University College, Galway, Ireland. He has published research in analysis and probability theory and is the author of Theorems and Counterexamples in Mathematics; Problems in Real and Complex Analysis; and Linear Algebra: Basics, Practice and Theory.
作者簡介(中文翻譯)
伯納德·R·蓋爾鮑姆（Bernard R. Gelbaum）是紐約州立大學布法羅分校的數學教授。他曾在明尼蘇達大學、加州大學爾灣分校任教，並擔任過愛爾蘭高威大學的富布賴特高級學者。他在分析學和概率論方面發表了研究，並著有《數學中的定理與反例》（Theorems and Counterexamples in Mathematics）、《實數與複數分析中的問題》（Problems in Real and Complex Analysis）以及《線性代數：基礎、實踐與理論》（Linear Algebra: Basics, Practice and Theory）。
