List A mathematical list for enterprise R & D personnel [reprinted]

[Reprinted]

Original: http://blog.sciencenet.cn/home.php? MoD = Space & uid = 485553 & Do = Blog & id = 746079

 

Since work, it has gradually been found that there is a common phenomenon in enterprises, that is, the R & D personnel of enterprises-from ordinary technicians to the chief engineer, it is often difficult to understand in-depth Professional Books, the main reason is the poor mathematical foundation. Although engineering students have studied advanced mathematics, linear algebra, and probability and mathematical statistics at the university stage, Engineering Mathematics is too superficial, this will make it hard for engineering graduates to study deeply in the future. For example, to solve a fluid sealing problem, this trivial problem in the mechanical system involves multiple subject fields, there are friction and wear, lubrication, structural fever, structural deformation, fluid mechanics, heat transfer and mass transfer, open these books, whether domestic or foreign, often more formulas than words. For example, to understand fluid mechanics, we must have the basis of Vector Analysis and tensor analysis. To understand Vector Analysis and tensor analysis, we must have the basis of calculus and linear algebra, there will also be a more basic foundation for these foundations, so that learning cannot go forward.

The company's R & D staff are busy and working overtime, so it is difficult to take a large part of time to supplement the mathematics. I take the liberty to give the company's R & D staff a list of mathematics, based on their actual selection.

Required Courses: Required Courses refer to the exercises that can understand abstract mathematical concepts and understand the physical or geometric meanings of mathematical concepts. They also need to finish 70-80% of exercises independently after class.

1. Mathematical Analysis, second edition, Chen jixiu, and other Higher Education Press.

I have completed 80% exercises after class in the teaching materials used by the Chinese Mathematics Major. It is easy for engineering students to be scared by Chapter 1 and think that mathematics is useless or even boring, when you study continuous media mechanics in the future, you will not feel useless or boring.

2. Calculus tutorial (three exams in total), former Soviet Union, fekhinc.com.

In the 50 or 60 s, mathematics students were very familiar with books. I have carefully read the first and second and third volumes. The chapter on function determinant and its application is very different from other teaching materials, but the translation is not very good.

3. Introduction to calculus and mathematical analysis (two-volume and four-volume), de and Ke Lang.

Classic books are worth recommending and focus on the use of ry or physics to intuitively parse mathematical concepts, as kelang said: "A truly meaningful mathematics is created by the combination of intuitive imagination and deductive reasoning ".

4. "Higher Algebra" (Third edition), Wang lingfang

I have completed about 80% exercises in Chinese mathematics textbooks.

Mathematical Analysis and advanced algebra are the two most basic courses. No matter what technology R & D you are engaged in, you must master them, only by mastering these two courses can we continue to study other more in-depth mathematics courses. The postgraduate students take the two courses.

Optional courses or popular science courses: the so-called optional courses refer to those based on your work needs, or read accurately or slightly. scientific books help to intuitively understand the concept of mathematics.

1. Mathematics, its content, methods and meaning, Russia, A. D. Alexander ROV.

In the 40 or 50 s of the last century, the Soviet Union organized a group of top mathematicians to write a huge book of mathematics. They used the popular science language to introduce more than 20 branches of mathematics.

2. Theory of real-time variable functions, Russia and naomon.

A relatively easy-to-understand book is the deepening of mathematical analysis. It introduces the concept of measurement to let you know that the learning of advanced mathematics is not perfect.

3. Modern Mathematical thoughts, beauty, Klein.

There are four books about the history of mathematics to help you understand the past and present of mathematics. It is said that no book about the history of mathematics can surpass him, but I do not feel this way after reading it.

4. Explore mathematics and knowledge, beauty, Klein.

I did not describe specific mathematical knowledge. I am a book on the philosophy of social science, discussing the role of mathematics in natural science since ancient Greece, in October September this year, when I was training at the company, I cited the first chapter "sensory and intuition failure", which shows why technical R & D personnel cannot do things based on experience or feeling.

5. Qian weichang, "Applied Mathematics.

Qian weichang is a mechanical and applied mathematician and former principal of Shanghai Institute of Technology. This book is easy to understand and connects theory with practice. It is worth reading by researchers and engineers.

6. "Ordinary Differential Equations", Ding Tongren.

I have done about 50% exercises for textbooks and entry-level books used by many schools in China.

7. Vector and tensor analysis, second edition, eutiquio C. Young.

It is easy to understand and has a clear concept. It introduces the preliminary knowledge of field theory and tensor analysis, and provides a wide range of examples and exercises. It is worth reading by mechanics.

8. Complex Variable Function introduction (Volume 1), Soviet Union, purvalov.

It is easy to write and is suitable for beginners, including angle-preserving transformations, the cosine theorem, and series.