Elements of Mathematical Analysis: An Informal Introduction for Physics and Engineering Students
Papachristou, Costas J.
- 出版商: Springer
- 出版日期: 2023-11-15
- 售價: $2,100
- 貴賓價: 9.5 折 $1,995
- 語言: 英文
- 頁數: 126
- 裝訂: Quality Paper - also called trade paper
- ISBN: 3031458532
- ISBN-13: 9783031458538
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相關分類:
物理學 Physics
海外代購書籍(需單獨結帳)
商品描述
This book provides a comprehensive yet informal introduction to differentiating and integrating real functions with one variable. It also covers basic first-order differential equations and introduces higher-dimensional differentiation and integration.
The focus is on significant theoretical proofs, accompanied by illustrative examples for clarity. A comprehensive bibliography aids deeper understanding. The concept of a function's differential is a central theme, relating to the "differential" within integrals. The discussion of indefinite integrals (collections of antiderivatives) precedes definite integrals, naturally connecting the two. The Appendix offers essential math formulas, exercise properties, and an in-depth exploration of continuity and differentiability. Select exercise solutions are provided.
This book suits short introductory math courses for novice physics/engineering students. It equips them with vital differential and integral calculus tools for real-world applications. It is also useful for first-year undergraduates, reinforcing advanced calculus foundations for better Physics comprehension.
商品描述(中文翻譯)
這本書提供了一個全面且非正式的介紹，關於單變數實數函數的微分和積分。它還涵蓋了基本的一階微分方程，並介紹了高維微分和積分。
重點在於重要的理論證明，並配有例證以增加清晰度。一個全面的參考文獻有助於更深入的理解。函數微分的概念是一個核心主題，與積分中的「微分」相關。對於不定積分（反導數的集合）的討論在定積分之前，自然地將兩者聯繫起來。附錄提供了必要的數學公式、練習性質，以及對連續性和可微性的深入探討。提供了部分練習解答。
這本書適合初學物理/工程學生的短期入門數學課程。它為他們提供了實際應用的微分和積分計算工具。對於大一本科生也很有用，加強了高級微積分基礎，以提高對物理學的理解。
作者簡介
Dr. Costas J. Papachristou is a senior faculty member at the Hellenic Naval Academy (The Naval Academy of Greece). He received a Ph.D. in Theoretical Physics from Brigham Young University, USA, and spent another year at BYU as a research faculty in Physics. At the HNA, he teaches freshman- and sophomore-level Physics. His research interests are mainly in Theoretical and Mathematical Physics (in particular, symmetry and integrability properties of classical field equations, classical electromagnetism), but he is also active in Physics Education. He is an amateur musician and a columnist for Greek newspapers and magazines.
作者簡介(中文翻譯)
Dr. Costas J. Papachristou是希臘海軍學院（希臘海軍學院）的高級教職成員。他在美國布里格姆楊大學獲得理論物理學博士學位，並在該校擔任物理學研究教職一年。在希臘海軍學院，他教授大一和大二的物理學課程。他的研究興趣主要集中在理論和數學物理學（特別是經典場方程的對稱性和可積性特性，經典電磁學），但他也積極參與物理教育。他是一位業餘音樂家，也是希臘報紙和雜誌的專欄作家。
