Classical Newtonian Gravity and Potential Theory: A Comprehensive Introduction, with Examples and Exercises
暫譯: 經典牛頓重力與勢能理論：全面介紹，附範例與習題
Capuzzo Dolcetta, Roberto A.
- 出版商: Springer
- 出版日期: 2026-06-02
- 售價: $3,830
- 貴賓價: 9.5 折 $3,638
- 語言: 英文
- 頁數: 239
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 3032130352
- ISBN-13: 9783032130358
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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 offers a readily comprehensible introduction to classical Newtonian gravitation and potential theory, which are fundamental for understanding classical mechanics and particularly relevant to astrophysics. This enlarged and updated second edition introduces two new chapters, various newly developed exercises, and a comprehensive index. The opening chapter reviews essential elements of vector calculus and analysis, providing the formalism used in subsequent chapters. In Chapter 2, the theory of classical Newtonian gravity for a single point mass and a generic number N of point masses is presented and discussed, extending naturally to the continuous case. Chapter 3 addresses the paradigmatic case of spherical symmetry in mass density distribution (central force), introducing the useful tool of qualitative motion analysis. Chapter 4 deals with astrophysical applications, like, for instance the Jeans' theory of gravitational instability. The following chapter discusses the general case of non-symmetric mass density distribution and develop classical potential theory, incorporating elements of harmonic theory, which is essential for understanding the series development of the gravitational potential. Finally, Chapter 6 discusses some relevant differences between Newtonian and relativistic gravitation. Examples and exercises throughout the book clarify various aspects of the theory presented in the book.
The book is aimed at those progressing beyond an initial bachelor's degree toward a master's degree and a Ph.D. It is also a valuable resource for postgraduates and active researchers in the field.
商品描述(中文翻譯)
這本書提供了一個易於理解的古典牛頓引力和勢能理論的介紹，這些理論對於理解古典力學至關重要，並且與天體物理學特別相關。這個擴充和更新的第二版引入了兩個新章節、各種新開發的練習題以及一個全面的索引。開篇章節回顧了向量微積分和分析的基本要素，提供了後續章節中使用的形式主義。在第二章中，介紹並討論了單一點質量和一般數量 N 的點質量的古典牛頓引力理論，自然延伸到連續情況。第三章處理質量密度分佈的典範情況，即球對稱（中心力），引入了質量運動分析的有用工具。第四章涉及天體物理學的應用，例如，詹恩斯的引力不穩定性理論。接下來的章節討論了非對稱質量密度分佈的一般情況，並發展古典勢能理論，結合了諧波理論的元素，這對於理解引力勢能的級數展開至關重要。最後，第六章討論了牛頓引力和相對論引力之間的一些相關差異。書中各處的例子和練習題澄清了書中所呈現理論的各個方面。
本書的目標讀者是那些從初步的學士學位進階到碩士學位和博士學位的人。它也是研究生和該領域活躍研究者的寶貴資源。
作者簡介
Roberto A. Capuzzo Dolcetta has spent the longest part of his scientific and teaching activity as a professor of Theoretical Astrophysics and Fluid Dynamics at the University of Rome La Sapienza. He spent much time abroad (UW in Seattle (USA), Boston University (USA), University of Moscow (Russia), University of Heidelberg (Germany), Charles University in Prague (Czech Republic), etc.). He wrote more than 260 papers in scientific journals of Astrophysics, Physics, Mathematics and Computational Physics. Supercomputing Research Allocation (ISCRA) at CINECA and the leader of the Universe Science panel of the Access Committee of PRACE (the European infrastructure for supercomputing). He is also an experienced science communicator, both for TV broadcasting and in books. He is author of two books of the United for Physics series of Springer Nature (Classical Newtonian Gravity and Physics of Fluids).
作者簡介(中文翻譯)
羅伯托·A·卡普佐·多爾切塔在羅馬大學拉薩比恩扎擔任理論天體物理學和流體力學教授，度過了他科學和教學活動中最長的時光。他曾在國外工作過很長一段時間（美國西雅圖的華盛頓大學、美國波士頓大學、俄羅斯莫斯科大學、德國海德堡大學、捷克共和國查理大學等）。他在天體物理學、物理學、數學和計算物理學的科學期刊上發表了超過260篇論文。他是CINECA的超級計算研究分配（ISCRA）負責人，也是PRACE（歐洲超級計算基礎設施）訪問委員會宇宙科學小組的負責人。他還是一位經驗豐富的科學傳播者，無論是在電視廣播還是書籍中。他是施普林格自然出版集團《物理學聯盟》系列的兩本書的作者（《經典牛頓引力》和《流體物理學》）。
