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The basic idea of analytical mechanics is very simple, and it can be easily understood from the analytical mechanics part of general theoretical mechanics textbooks.
If you want to study comprehensively and solidly, we recommend Goldstein's Classical Mechanics, which has a Chinese translation, should be Classical Mechanics (Goldstein).
As an application, to understand the powerful power of analytical mechanics, you can read Wang Jiazhi's Three-Body Problem, a very old book, which should be available in university libraries. Mr. Wang also wrote a book on Analytical Mechanics, which is also very good.
To understand the mathematical background of analytical mechanics, especially the geometry of mechanical systems, two books are recommended, Arnold's Mathematical Methods of Classical Mechanics, and Zhang Qiren's Classical Mechanics. It is best to read these two books with a little understanding of differential geometry.
If you want to appreciate the profound physical ideas in analytical mechanics, we recommend watching Landau's mechanics, which has just been released in Chinese.
My personal suggestion is to read Goldstein's classical mechanics first, and then Landau's mechanics, and other books can be used as a reference.
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Books are not good or bad, as long as they are ordinary books, as long as they are read carefully, the key to success lies in themselves.
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It's best to go to Xinhua Bookstore and buy a textbook to read.
See through every detail.
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Five-year college entrance examination, three-year simulation (Beijing Normal University Press).
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In response to this question, I type and personally think that there are good books on mechanics as follows:
Classical Mechanics", Theoretical Mechanics Tutorial, IUTAM Fundamental Mechanics and Theoretical Mechanics Tutorial, New Concept Physics Tutorial: Mechanics, etc. These mechanics books are all good to watch.
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The recommendations are as follows: 1. "Mechanics and Theoretical Mechanics": The author is Yang Weihong, and the whole book is based on the author's lecture scripts used in teaching students, and has been continuously revised after more than ten years of practice.
2. "Ordinary Matter Socks Balance Tribor Science Course: Mechanics": The author is Qi Anshen and Du Xue Chanying, this book maintains the main characteristics of the original book, in order to better meet the needs of teaching, some of the contents of the book have been modified, and some new scientific research achievements have been added, such as the development of gravitational constant measurement technology in China;
3. "College Physics": The authors are Ye Weiguo and Yu Guoxiang, the book describes the basic laws and basic concepts of physics, including force and motion, work and energy, mechanical vibration and fluctuation, etc., with moderate difficulty, clear physical concepts, simple discussions, and rich examples.
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Zhou Yanbai's "Theoretical Mechanics Course" published by Higher Education Press
Zhou Yanbai, "Theoretical Mechanics Course".
Table of Contents. IntroductionChapter 1 Particle Mechanics.
How to describe the movement.
1) Reference system and coordinate system.
2) Kinematic equations and orbits.
3) Displacement, velocity, and acceleration.
Component representation of velocity and acceleration.
1) Cartesian coordinate system.
2) Polar coordinate system.
3) Tangential acceleration and normal acceleration.
Translational frame of reference.
1) Absolute velocity, relative velocity, and implication velocity.
2) Absolute, relative and implicated acceleration.
The law of motion of particles.
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I majored in engineering mechanics, and I used Sun Xunfang and Liu Hongwen when I was in school, but the mechanics of materials are basically the same, but some of the details and emphases are different, or the material mechanics of Temoxinco is also good
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If it is recommended by Sun Xunfang for civil engineering, the main difference is in the drawing part of the bending moment diagram. In addition, mechanical engineering will also emphasize fatigue and alternating stress, while civil engineering will not focus too much on this part!
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The book edited by Professor Sun Xunfang is recommended for civil engineering, and Professor Liu Hongwen is recommended for mechanical engineering. The best foreign textbooks include the textbooks edited by the American science popularization scientist Timoshenko (rich in content, practical and interesting), and the former Soviet mechanist Berlyev (professional edition, more than 600 pages).
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Zhou Yanbai's "Teaching of Theoretical Mechanics" published by Higher Education Press.
Cheng", Zhou Yanbai, "Theoretical Mechanics Course".
Table of Contents. IntroductionChapter 1 Particle Mechanics.
How to describe the movement.
1) Reference system and coordinate system.
2) Kinematic equations and orbits.
3) Displacement, velocity, and acceleration.
Component representation of velocity and acceleration.
1) Cartesian coordinate system.
2) Polar coordinate system.
3) Tangential acceleration and normal acceleration.
Translational frame of reference.
1) Absolute velocity, relative velocity, and implication velocity.
2) Absolute, relative and implicated acceleration.
The law of motion of particles.
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The International Journal of Mechanics Research is an international Chinese journal focusing on the latest advances in the field of mechanics, published by Hans Verlag. The journal supports ideological and academic innovation, advocates science, prospers academics, integrates academic and ideological nature, and aims to provide a communication platform for scientists, scholars and researchers around the world to disseminate, share and discuss issues and development in different directions in the field of mechanics.
Research Interests: Classical Mechanics, Fundamental Mechanics, Analytical Mechanics, Material Mechanics, Solid Mechanics, Fluid Mechanics, Elastic Mechanics, Plate and Shell Mechanics, Plastic Mechanics, Fracture Mechanics, Structural Mechanics, Applied Mechanics, Engineering Mechanics, Rheology, Mechanics, Physical Mechanics, Chemical Fluid Dynamics, Plasma Dynamics, Electromechanical Dynamics, Magnetohydrodynamics, Thermoelastic Mechanics, Mechanics and other disciplines.
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Based on the mechanics part of calculus, linear algebra and physics, this book focuses on the basic content of theoretical mechanics, focuses on the dynamics and analytical mechanics methods, and explains the basic concepts, basic formulas and basic methods from a variety of different perspectives.
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Temu Xingke's translation or Mei Fengxiang's book.
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