Advanced Calculus: Theory and Practice
暫譯: 高等微積分:理論與實務

Petrovic, John

  • 出版商: CRC
  • 出版日期: 2023-02-21
  • 售價: $2,320
  • 貴賓價: 9.5$2,204
  • 語言: 英文
  • 頁數: 622
  • 裝訂: Quality Paper - also called trade paper
  • ISBN: 1032474335
  • ISBN-13: 9781032474335
  • 相關分類: 微積分 Calculus
  • 海外代購書籍(需單獨結帳)

商品描述

Advanced Calculus: Theory and Practice, Second Edition offers a text for a one- or two-semester course on advanced calculus or analysis. The text improves students' problem-solving and proof-writing skills, familiarizes them with the historical development of calculus concepts, and helps them understand the connections among different topics.

The book explains how various topics in calculus may seem unrelated but have common roots. Emphasizing historical perspectives, the text gives students a glimpse into the development of calculus and its ideas from the age of Newton and Leibniz to the twentieth century. Nearly 300 examples lead to important theorems.

Features of the Second Edition:

  • Improved Organization. Chapters are reorganized to address common preferences.
  • Enhanced Coverage of Axiomatic Systems. A section is added to include Peano's system of axioms for the set of natural numbers and their use in developing the well-known properties of the set N.
  • Expanded and Organized Exercise Collection. There are close to 1,000 new exercises, many of them with solutions or hints. Exercises are classified based on the level of difficulty. Computation-oriented exercises are paired and solutions or hints provided for the odd-numbered questions.
  • Enrichment Material. Historical facts and biographies of over 60 mathematicians.
  • Illustrations. Thirty-five new illustrations are added in order to guide students through examples or proofs.

About the Author:

John Srdjan Petrovic is a professor at Western Michigan University.

商品描述(中文翻譯)

《高等微積分:理論與實務(第二版)》提供了一本適用於一或兩學期的高等微積分或分析課程的教材。這本書提升學生的解題和證明寫作技巧,使他們熟悉微積分概念的歷史發展,並幫助他們理解不同主題之間的聯繫。

本書解釋了微積分中的各種主題如何看似無關,但卻有共同的根源。強調歷史觀點,這本書讓學生窺見微積分及其思想的發展,從牛頓和萊布尼茲的時代到二十世紀。近300個例子引導至重要的定理。

第二版的特色:

- 改進的組織結構。章節重新組織以符合常見的偏好。
- 增強的公理系統涵蓋。新增一節,包含佩亞諾(Peano)的自然數公理系統及其在發展自然數集合 N 的著名性質中的應用。
- 擴展和組織的練習題集合。新增近1,000個練習題,其中許多附有解答或提示。練習題根據難度級別進行分類。以計算為導向的練習題配對,並為奇數題提供解答或提示。
- 豐富的材料。超過60位數學家的歷史事實和傳記。
- 插圖。新增35幅插圖,以指導學生完成例題或證明。

關於作者:

約翰·斯爾詹·彼得羅維奇(John Srdjan Petrovic)是西密歇根大學的教授。

作者簡介

John Srdjan Petrovic is a Professor at Western Michigan University.

作者簡介(中文翻譯)

約翰·斯爾詹·彼得羅維奇是西密歇根大學的教授。

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