General Relativity: Analytic and Symbolic Problems with Mathematica
暫譯: 廣義相對論：使用Mathematica解決分析與符號問題
Vittorio, Nicola
- 出版商: CRC
- 出版日期: 2025-07-09
- 售價: $5,230
- 貴賓價: 9.5 折 $4,969
- 語言: 英文
- 頁數: 258
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 1032674849
- ISBN-13: 9781032674841
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商品描述
This book provides General Relativity problems to be tackled both analytically and symbolically-numerically with the Mathematica software. In the first case, the reader is guided in setting up the appropriate solutions. In the second case, the reader is provided with very illustrative notebooks to carry out the steps necessary to solve a General Relativity problem. These include the calculation of the Christoffel symbols, Riemann, Ricci, Einstein and energy-momentum tensors, as well as the resolution of the field equations of General Relativity in different astrophysical/cosmological contexts, with and without the introduction of a cosmological constant. This study guide should be used alongside existing textbooks to provide additional learning and engagement opportunities for advanced undergraduate and graduate students in physics and astrophysics taking courses on general relativity. It may also be of interest to mathematics students interested in celestial mechanics and space sciences.
A number of the Mathematica codes used in this book can be accessed online here; [INSERT URL WHEN AVAILABLE]
Key Features:
- Promotes the "learning by doing" approach, guiding the student in the building of the mathematical apparatus necessary to solve problems in General Relativity.
- Encourages the development of analytical skills to address and solve specific and challenging problems in General Relativity.
- Develops symbolic-numerical skills to address problems (often already solved analytically) so that the reader is prepared to attack even more elaborate calculations in General Relativity.
商品描述(中文翻譯)
這本書提供了一系列廣義相對論的問題，讀者可以使用 Mathematica 軟體進行分析性和符號-數值的解決。在第一種情況下，讀者將獲得設置適當解法的指導。在第二種情況下，讀者將獲得非常具體的筆記本，以執行解決廣義相對論問題所需的步驟。這些步驟包括計算 Christoffel 符號、Riemann 張量、Ricci 張量、愛因斯坦張量和能量-動量張量，以及在不同的天體物理/宇宙學背景下解決廣義相對論的場方程，無論是否引入宇宙常數。本學習指南應與現有的教科書一起使用，以提供額外的學習和參與機會，特別是針對修習廣義相對論課程的高年級本科生和研究生物理及天體物理的學生。對於對天體力學和空間科學感興趣的數學學生來說，這本書也可能會引起他們的興趣。
本書中使用的多個 Mathematica 代碼可以在線訪問；[可用時插入網址]
主要特點：
- 促進「實踐中學習」的方法，指導學生建立解決廣義相對論問題所需的數學工具。
- 鼓勵發展分析技能，以應對和解決廣義相對論中的具體和具挑戰性的問題。
- 發展符號-數值技能，以解決問題（通常已經有分析解），使讀者能夠準備攻克更複雜的廣義相對論計算。
作者簡介
Nicola Vittorio is full professor of Cosmology at the Physics Department of the University of Rome Tor Vergata. He carried out theoretical studies in cosmology and in the formation and evolution of the large-scale structure of the universe. He published 250 articles on refereed journals, and he also was the organizer and the editor of several international conferences and conference proceedings. Nicola Vittorio is National Fellow of the Academy of Sciences of Turin, Distinguished Member of the Italian Physical Society, Member of the European Academy of Sciences and Arts, of the European Physical Society, of the International Astronomical Union, of the Italian Astronomical Society, and of the Italian Society for the Advancement of Science.
作者簡介(中文翻譯)
尼科拉·維托里奧是羅馬托爾維爾加大學物理系的宇宙學全職教授。他在宇宙學以及宇宙大尺度結構的形成與演化方面進行了理論研究。他在同行評審的期刊上發表了250篇文章，並且曾組織和編輯多個國際會議及會議論文集。尼科拉·維托里奧是都靈科學院的國家研究員、意大利物理學會的傑出會員、歐洲科學與藝術學院的會員、歐洲物理學會的會員、國際天文學聯合會的會員、意大利天文學會的會員，以及意大利科學促進會的會員。
