Current location - Training Enrollment Network - Mathematics courses - Please recommend college physics and mathematics textbooks.
Please recommend college physics and mathematics textbooks.
1 Mathematical Bibliography 1. 1 Mathematical Analysis I have the first and second volumes of Mathematical Analysis published by East China Normal University, which is not bad. What is worth recommending is the three-volume Calculus Course written by Fehkingolz, which is rich in content and exercises and difficult to consult. After all, I'm not a math major. Hilbert and Courand's Introduction to Calculus and Mathematical Analysis is a classic book. It is said that this book is for the Mathematics Department of Zhejiang University, and it is divided into four volumes, of which one-dimensional calculus is mainly in 1 and two volumes, and volumes 3 and 4 are mainly multivariate calculus and series. Hardy's A Course in Pure Mathematics, which I just bought recently. Although some contents are out of date, they are still classics among classics. After all, Hardy is a master of mathematics, and has trained Indian mathematical wizards Ramanujin and Hua Luogeng. 1.2 linear algebra school uses Tongji's linear algebra, which is not very good. Quite normal, first abstract determinant, then matrix, then vector space. I have read two foreign textbooks on linear algebra, one is "Linear Algebra and Its Application" by David C. Lay, and the other is "The Way to Learn Linear Algebra" by Sheldon Eksler. The former emphasizes the reference background of linear algebra and regards linear algebra as the generalization of spatial analytic geometry from vector space to n-dimensional space; The latter focuses on vector space and linear mapping. Both books avoid difficulties and intuitive determinants. 1.3 ordinary differential equation Pontryagin's ordinary differential equation, a classic course. Ding Tongren's Course of Ordinary Differential Equations is the best textbook of ordinary differential equations in China. 1.4 mathematical physics method. Most physics students use this textbook of Mr. Liang Lao. Guo Dunren's method of mathematical physics and Wang Zhuxi's introduction to special functions are absolutely world-class classics. This book can only be used as a reference book on the side of the case. Yang Zhenning once said: "My teacher, Mr. Wang Zhuxi, gave me a newly published Introduction to Special Functions ... Since then, this book has been on my bookshelf ... and I often look for the conclusions I need." There are many special functions in this book that can't be written in the text, so it is added at the back, euphemistically called "exercises". If you try to do it, I'm afraid you will break out in a cold sweat. 1.5 probability theory and mathematical statistics personally think that the third or fourth edition of probability theory and mathematical statistics of Zhejiang University is enough-only for non-mathematics majors. 2. Physical Bibliography 2. 1 General Physical Mechanics: New Concept Physics Course-Mechanics, and you can also read Zhou Peiyuan's Mechanics and Liang's Miao Kun Mechanics; Thermology: Qin's "Thermology" and "New Concept Physics Course-Thermology"-this book is rich in content and novel, and the teaching materials are messy, which is really good as a reference; Electromagnetism: Zhao Kaihua and Chen Ximou's electromagnetism; Upper and Lower Optics: Zhao Kaihua New Concept Physics Course-Optics. Anyone interested in the optical direction must look at Born &;; Wolf's book "Principles of Optics" has been borrowed in the library, and its difficulty has gone far beyond the scope of ordinary objects. It is worthy of being a Nobel Prize winner's work and a Bible in optics. Atomic Physics: Yang Atomic Physics 2.2 Four Mechanics Theoretical Mechanics: Zhou Theoretical Mechanics Course; Landau's mechanics is the best one in Landau's theoretical physics course and the first classic textbook of mechanics, although it is only a thin one hundred pages. Quantum Mechanics: Zhou Shixun's Course of Quantum Mechanics is earlier in China. This book is clearer than Zeng's, but it has less content and insufficient stamina; Ceng Jing's A Course of Quantum Mechanics, as well as the first and second volumes of Quantum Mechanics, are enough for one to take the postgraduate entrance examination. Zeng Shu paid attention to mathematical deduction and paid little attention to the nature of physics, which made the novice unable to help but be in a fog. This book is easy to review, and it is also the designated bibliography for my postgraduate entrance examination in physics.

Griffith's Introduction to Quantum Mechanics is recommended to be used as a primary textbook by the Department of Physics of Tsinghua. It is available in both Chinese and English. Unfortunately, Mechanical Industry Press deleted the last chapter of quantum philosophy and the appendix of linear algebra, calling it "in order to adapt to the domestic curriculum", and there were many typographical errors in the Chinese version, so I downloaded an English e-book to match the Chinese version. Another feature of this book is that there are too many exercises. The author believes that it is impossible to learn quantum mechanics well without doing a lot of exercises. If you have time, you can look at the first two chapters of Advanced Quantum Mechanics-Strategic Position by Ka Xinglin, which is certainly good for understanding elementary quantum mechanics. Reference book: Feynman Lecture Notes on Physics Volume III, Feynman Lecture Notes on Physics, is the Bible in physics teaching, and Volume III is about quantum mechanics, which is simple and unique-starting from a two-state system; Landau's quantum mechanics (non-relativistic principle), Landau's sword bias innovation, this book is moderately difficult (not suitable for undergraduate beginners); Dirac's principle of quantum mechanics, I've heard a lot about you, but I haven't read it carefully and dare not comment. In addition, shankar's Principles of Quantum Mechanics is also a very popular teaching material in European and American universities. Cohen's two-volume quantum mechanics is characterized by many comments and the concept of death, which is very helpful for beginners to understand. For reference only, Cohen-Tannoudji is a French master of theoretical physics and the winner of the 1997 Nobel Prize in Physics. Workbooks: Selected Works and Analysis of Quantum Mechanics by Zeng Jingyan and Qian Bochu, Volume of Quantum Mechanics on HKUST Physics, and Tutoring for Shi Shouhua's Postgraduate Entrance Examination of Quantum Mechanics. Electrodynamics: Guo's Electrodynamics and Jackson's Classical Electrodynamics, the classics in the textbook of electrodynamics, are extremely difficult in mathematics, and Jackson's preference for mathematics is abnormal, hehe, in fact, Landau's Electrodynamics of Continuous Media. Thermodynamic statistical physics: Wang Zhuxi's thermodynamics; Wang Zhicheng, thermodynamics and statistical physics; Forestry, thermodynamics and statistical physics. In order to broaden the knowledge, the following books are recommended: 1, Feynman Fei Enman's lectures on physics, Volume III, Newton's natural philosophy, mathematical principles, optics, Einstein's collected works (Volume III), Galileo's dialogue on Ptolemy and Copernicus, dialogue on two new sciences, and Maxwell's general theory of electromagnetism. 6? Symmetry of 1 Wyle 9. Roger? 6? 1 Newton's Exploring the Causes of Everything-Chaos, Quarks and Laplacian Demon 10, Qualitative and Semi-quantitative Physics 1 1, Hawking's A Brief History of Time, The Universe in the Shell 12, and the rest.

Think of these for the time being