Problems and Solutions on Vector Spaces for Physicists: From Part I in Mathematical Physics--A Modern Introduction to Its Foundations
暫譯: 物理學家向量空間的問題與解決方案:數學物理第一部分--現代基礎介紹
Scott, Robert B.
- 出版商: Springer
- 出版日期: 2024-08-11
- 售價: $2,220
- 貴賓價: 9.5 折 $2,109
- 語言: 英文
- 頁數: 178
- 裝訂: Quality Paper - also called trade paper
- ISBN: 3031312201
- ISBN-13: 9783031312205
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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 supporting material for the comprehensive textbook Mathematical Physics--A Modern Introduction to Its Foundations authored by Sadri Hassani. The book covers mathematical preliminaries and all of Part I in Hassani's textbook. The subjects covered here include the key topics necessary for physicists to form a solid mathematical foundation: vectors and linear maps, algebras, operators, matrices, and spectral decomposition. In particular, the vector space concept is a central unifying theme in later chapters of Hassani's textbook. Detailed solutions are provided to one third of the end-of-chapter exercises in the first six chapters of his text.
The present volume helps upper-undergraduate and early postgraduate physics students deepen their understanding of the mathematics that they encounter in physics, learn physics more efficiently, and use mathematics with more confidence and creativity. The content is thus presented rigorously but remains accessible tophysics students.
New exercises are also proposed, some with solutions, some without, so that the total number of unsolved exercises remains unchanged. They are chosen to help explain difficult concepts, amplify key points in Hassani's textbook, or make further connections with applications in physics. Taken together with Hassani's work, the two form a self-contained set and the solutions make detailed reference to Hassani's text. The solutions also refer to other mathematics and physics textbooks, providing entry points to further literature that finds a useful place in the physicist's personal library.
商品描述(中文翻譯)
本書提供了Sadri Hassani所著的綜合教科書《數學物理:現代基礎介紹》的輔助材料。本書涵蓋了數學基礎知識以及Hassani教科書第一部分的所有內容。這裡所涵蓋的主題包括物理學家建立堅實數學基礎所需的關鍵主題:向量與線性映射、代數、算子、矩陣和譜分解。特別是,向量空間的概念是Hassani教科書後面章節中的一個核心統一主題。對於他文本前六章的三分之一的章末習題提供了詳細的解答。
本書幫助高年級本科生和早期研究生物理學生加深對他們在物理中遇到的數學的理解,更有效地學習物理,並以更大的信心和創造力使用數學。因此,內容雖然嚴謹,但仍然對物理學生可及。
本書還提出了新的習題,其中一些有解答,有些則沒有,因此未解習題的總數保持不變。這些習題的選擇旨在幫助解釋困難的概念、強調Hassani教科書中的關鍵點,或與物理應用建立進一步的聯繫。與Hassani的作品結合起來,這兩者形成了一個自足的集合,解答也詳細參考了Hassani的文本。這些解答還參考了其他數學和物理教科書,為物理學家的個人圖書館提供了進一步文獻的切入點。
作者簡介
Robert B. Scott is a member of the Department of Physics and the Laboratory of Mathematics at the Université de Bretagne Occidentale in Brest, France. He has taught a variety of physics and mathematics courses including:
- astrophysics and cosmology for physics students
- quantum mechanics and fundamental physics for mathematicians
- mathematics for scientists fluid mechanics for engineers, and
- history of science for humanities students.
作者簡介(中文翻譯)
羅伯特·B·斯科特(Robert B. Scott)是法國布雷斯特的西布列塔尼大學(Université de Bretagne Occidentale)物理系及數學實驗室的成員。他教授過多種物理和數學課程,包括:
- 針對物理學生的天體物理學和宇宙學
- 針對數學家的量子力學和基礎物理
- 針對科學家的數學、針對工程師的流體力學,以及
- 針對人文學科學生的科學史。
在加拿大金士頓的女王大學(Queen's University)訪問期間,他教授了三年級的經典力學。他也是一本關於廣義相對論的類似輔助教科書的作者。他發表了許多有關海洋物理和氣候動力學的研究文章,以及一些關於相對論的教學文章,最近則專注於生物物理學和生物老化的研究。