I remember that the next year, just on the undergraduate, mathematical analysis every Saturday class?
Six lessons, higher algebra, every day operations (at that time, it works on the sixth day).
Some students exclaimed the wrong door: What is the system of this?
Yes, you didn't go wrong, this is (at the time) South University computer system. system
The tradition is to cultivate people who do academic research, especially theoretical research. and
The theoretical research of the computer, it is mathematics, although it is perhaps
Non-mainstream mathematics in the eyes of orthodox mathematicians.
Mathematics analysis This stuff, our people who learn computer are very complicated.
Feelings. Love it is that it is the first door, and it is also a maximum of credits.
Mathematics class, and long-term test courses - 94 can be selected for mathematical analysis
With the higher algebra, it will be traveled to the famous "Engineering Mathematics".
Its importance can be seen. Hate it is that it seems to be useful
Opportunity, and thinking about these discrete / limited works we usually do
Different. The strange phenomenon that appears in the year is: High School of the computer system
The mathematical foundation is one of the counts (I hope that there is no other classmate).
The teaching class is only secondary to mathematics, but the effect after learning is a few
It is the first place. Where is the reason, what is thought-minded?
I personally see the student of computer classes, the requirements for mathematics
Unlike the mathematics, it is even more different from the physical class. Usually non-multiple learning
The so-called "higher mathematics", nothing more than a more difficult theory in mathematical analysis
Partially deleted, emphasizing the set formula calculation. In the computer system,
The biggest place in mathematical analysis is precisely the theoretical part of the deleted. Say
It's hard to listen to the so-called for the computer system, the pursuit of calculation.
"Engineering Mathematics" has been completely entered into the magic. Remember a pile area
Formula, can you understand mathematical analysis?
Chinese mathematical analysis, generally believe that the teacher of Northern Big
"Mathematical Analysis New Speaking" is the best. I personally think that "Mathematics"
The analysis tutorial is also good, at least a typical southern style, we
Look at the kind. Just a lot of learning. In case your mathematics
Too good, these two books are not enough, then go to see Phili Golden
"Subcomizonic Tutorial" is good - but I think there is nothing necessary, after all, you
Don't want to go to the mathematics department.
Jimmydovich's "mathematical analysis problem set" is basically a calculated type
Dongdong. If you plan to test what "Engineering Mathematics", you can
Do one. Otherwise, don't do it.
China's so-called higher algebra, it is equal to linear algebra, plus a point of polynomial
theory. I thought this is a good side, because you can make students feel early.
The algebra is a structure, not a bunch of matrices. Us
With Lin Chengsen, Sheng Songbai two teachers, "higher algebra", feel quite
Comfortable, I have reserved the textbook until now. This book is quite comprehensive
The basic first-class results of the polynomial and linear algebra, and also provide
Some useful relatively deep content, such as Sturm sequence, Shermon
-Morrison formula, generalized inverse matrix, etc. It can be said that as a bachelor
If you can eat this book, you can make a master. Later it was in the south
The version is published, but unfortunately it is not used in the side of the rail.
Good domestic and higher algebra materials also have the book of Tsinghua Computer System,
Tsinghua Publishing House is published, there are a lot of bookstores, and you will know. Features,
There is not much difference with the South University.
But the above two books cannot be said to be perfect. View from abstract algebra
In view, the results in the higher algebra are just some of the nature of algebraic systems.
Examples. Mr. Mo Zongjian's "Mathematics" is deeply
discussion. However, Mr. Mo's book is very deep, as a undergraduate fear
I am afraid that it is difficult to accept it, but I have matured some of them later.
Probability Theory and Mathematical Statistics This class is very important, but unfortunately there are few things. Less things are random processes. I haven't heard of Markov, I haven't heard of Markov.
The process, this is the shame of the computer system. No random process,
How do you analyze networks and distributed systems? How to design a randomized algorithm
And agreement? It is said that the Tsinghua Computer Department has "random mathematics", which is long.
True course. People can be an engineering school, as a self-righteous "science computer
"I am born, I feel embarrassed.
In addition, the discrete probability has special importance to the computer system.
Now, some schools have already opened a simple "discrete probability"
The course, simply delete the continuous probability, and discrete the discrete probability. we
Don't do this, but it should be more emphasis on discrete probability.
Asked.
The calculation method is the last class that is given to us by mathematics. General students
This class has limited great importance and thinks it is not used. In fact, do graphics
Images can be inseparable from it. Moreover, in many scientific projects, the application is calculated,
Both are dominated by values.
This class has two extreme speeches: one is classical "numerical analysis",
Complete math principles and algorithms; the other is now "science"
And engineering calculations, simultaneous teaching students with software package. South University Mathematics
Several teachers did a good thing, and a very classic of the former
Textbook translation published: German Stoer's "Numerical Analysis]. in case
You can learn the most lightweight one-third of this book, even if there is no white
Calculation method this class! The latter language seems to have not kept in China.
trend? However, as long as you have a chance to load Matlab on your computer
The like, it can be customary.
In this line, it usually opens a discrete mathematics, including aggregation, chart,
And abstract algebra, and then separately open an active logic. This arrangement,
Mainly due to the logical tradition of Nanta: Many teachers in the department are Mr.
The door, even Mr. Sun is a logical professional (see Mr. Sun since
.
However, so many contents are squeezed in a course of discrete mathematics.
Time is too tight? In addition, the computer system students do not understand the combination and
Number, is also a huge defect. To do theory, don't understand the combination or
The number of numbers is too big.
From the ideal state, it is best to separate six lessons: collection,
Logic, chart, combination, algebra, number. This is certainly unrealistic,
Because there is not so many lessons. Maybe you can open three lessons in the future: collection
And logic, chart theory and combination, algebraic and number theory.
Regardless of how the class is open, students will always learn. Let's talk about it separately
Talk about the above three sets of content.
Classical aggregation theory, Beijing Normal University, a "basic set theory" is good.
South University Publishing Zhu Zus (Mu Jia) Teacher's "Collection Guide" maybe
Too much, but his book is too powerful, and read it.
Mathematical logic, Mr. Mo's book is naturally a classic. However, we also
I have to admit that this book is long, and it is afraid enough to read it.
Especially proposition / predicate calculations have a lot of different speeches,
See how many people can greatly open their own horizons. For example, Lu Zhong Wan
"Mathematical logic for computer science" is not bad. Teacher Zhu also
There is a book with the "Mathematical Logic Tutorial", but it also reads a lot.
Overall, learn the collection / logic starting, but the more you feel
Deep inequate. It is recommended that students who are interested in reading Zhu's "Mathematics"
Basic introduction "- This book is a bit simple style, talking about the wonderful place,
The so-called "Tianhua chartes, wonderful and rainy", it is grateful. Finish
In the future, you have a probably a fundamental issue in these mathematics / philosophy.
Learn, I also know how high it is, and there are so deep sea. After you have finished reading the books, if you still have a strong interest
Deep, then you can try "Introduction" in the GTM series
TO AXIOMATIC SET THEORY "and" a course of Mathematical
These two have the introduction of world books. If you
Can get these two books, you can say that I really enter the door in logic.
Just wast it again, I'm listening to me. :)
It is said that there is only 30 people in China to understand the theory (when the class is in class.
The teacher attracted the teacher of Zhang Kemin). This words are inevitable. Figure theory this East,
Tips are too strong, almost every question has a unique method, and people's headache.
But this is also its charm: as long as you have creativity, it can
Give you a sense of accomplishment. So there is nothing to say, do it.
In the domestic chart book, Wang Shuhe teacher "chart theory and its algorithm" are very
success. On the one hand, its content is very comprehensive in domestic textbooks.
On the other hand, its emphasis on the algorithm is very suitable for the computer system (original
It is the BRIC Computer Teaching Material). With this book, refer to
Several translations, such as Bondy & Murty's "chart" and their applications ",
"Chart Theory and Circuit Network", such as the translation of the post and telecommunications, etc.,
Tiger, it is enough for undergraduates.
Further, the world book introduces "Modern" with a GTM series
"." This book is indeed a classic! Domestic seems to have one
The home published a translated version. However, learning this level, or
Read the original version. Get this book, also marked the picture to the door, huh, huh.
Combination feels not too suitable domestic book. Or read graham and knuth
Classic "Specific Mathematics" in the same person, there is a translation version, the West is out.
Abstract algebra, domestic classic is Mr. Mo Zongjian's "Mathematics". This book
It is the teaching material of Peking University Mathematics, which is well received. However, for undergraduates,
This book is too dark. You can learn some other textbooks first, then
Take back to see "Mathematics". There are more international classics, GTM
There is a lot of pile in the series. It is recommended to talk about classic, but the simplest
Single, easier to learn:
http://www.math.miami.edu/~ec/book/
This "Introduction to Linear and Abstract Algebra"
Very easy to understand, and combine the abstract algebra and linear algebra,
I am very ideal for beginners. But please pay attention to copyright issues, don't
Violation of the law.
Number, there is a classic "primary diameter" in China
(Pan's brothers, Peking University version). Take back, there is more classic
(Can be a world-class) and more difficult "number theory guidance" (Mr. Hua Lugeng
Bookstick, Science Edition, Nine Bookstore Reprinted). Do in a few chapters of the foundation
One of them is probably, it is enough for undergraduates. But this is just the first eras
s. After graduating from undergraduate, you must learn to calculate a number, you must read English books,
Such as Bach's "Introduction to Algorithmic Number Theory".
The root of theory computer is in the algorithm. Now I have to give undergraduate students.
Opening algorithm design and analysis is indeed very correct. Way to Western world,
About no three-flow or above the computer system does not use the algorithm as a compulsory.
The algorithm textbook is currently recognized as "Introduction to" in Corman
Algorithms "is the best. In the case of getting started, this is enough,
No need to refer to other books. Southern Dynasty has translated this book, Chinese name
For "Common Data Structure and Algorithm for Modern Computer". Pie seems to provide Linked for online courses, I don't have to talk nonsense.
Last to the form language and automaton. We used the Bei post to textbook,
It should be said to be clear. However, one thing to emphasize: form language
And the role of the automat machine is mainly used as a calculation model, not for use
Do compilation. In fact, the front end of the compilation is already a dead field, no
Open problem. If this is for this, we don't have to learn
Form Language - I'm finished with YACC. The book in Beiyou, deep
Degree, there is a big limit in conjunctive links, modern
Sense is not enough. So I suggest that I have interested classmates to read English book ... no
There are not many English books, and there seems to be in this regard.
Textbook.
After getting started, the model defined in the form language and the automaton, and
The model defined by the recursive function in the actual logic can be more
It is very interesting. I only know now, what is "the beauty of the palace, Baiguan
Rich!
