A First Course in Analysis
暫譯: 分析學入門

Conway, John B.

  • 出版商: Cambridge
  • 出版日期: 2017-07-25
  • 售價: $2,060
  • 貴賓價: 9.5$1,957
  • 語言: 英文
  • 頁數: 375
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 1107173140
  • ISBN-13: 9781107173149
  • 相關分類: 微積分 Calculus
  • 海外代購書籍(需單獨結帳)

相關主題

商品描述

This rigorous textbook is intended for a year-long analysis or advanced calculus course for advanced undergraduate or beginning graduate students. Starting with detailed, slow-paced proofs that allow students to acquire facility in reading and writing proofs, it clearly and concisely explains the basics of differentiation and integration of functions of one and several variables, and covers the theorems of Green, Gauss, and Stokes. Minimal prerequisites are assumed, and relevant linear algebra topics are reviewed right before they are needed, making the material accessible to students from diverse backgrounds. Abstract topics are preceded by concrete examples to facilitate understanding, for example, before introducing differential forms, the text examines low-dimensional examples. The meaning and importance of results are thoroughly discussed, and numerous exercises of varying difficulty give students ample opportunity to test and improve their knowledge of this difficult yet vital subject.

商品描述(中文翻譯)

這本嚴謹的教科書旨在用於為期一年的分析或高級微積分課程,適合高年級本科生或初級研究生。書中從詳細且緩慢的證明開始,讓學生能夠熟練地閱讀和撰寫證明,清晰且簡明地解釋了一變數和多變數函數的微分與積分基礎,並涵蓋了格林定理(Green's Theorem)、高斯定理(Gauss's Theorem)和斯托克斯定理(Stokes' Theorem)。假設的先備知識最少,相關的線性代數主題在需要之前會進行回顧,使得這些材料對來自不同背景的學生都能夠理解。抽象主題之前會有具體的例子來促進理解,例如,在介紹微分形式之前,文本會檢視低維度的例子。結果的意義和重要性會被徹底討論,並且提供了多個不同難度的練習題,讓學生有充足的機會來測試和提升他們對這個困難但重要主題的知識。