7.K.Kodaira (Kodaira Kunihiko),

One inter-studio showstars oxi hana
Smart red peanut careful burned the original address: University long on the advice of the Department showstars oxi hana of Mathematics showstars oxi hana mentees <forwarding> 2009-06-05 13:09 Author: scholarly
Mathematical analysis, linear algebra, analytic showstars oxi hana geometry, functional, topology, abstract algebra, real change, differential showstars oxi hana geometry is the most important lesson we have to learn the layer of skin off. Work in this area to try to strengthen the bottom, otherwise be at a disadvantage later.
Bott, Differential forms in algebraic topology
Exposing kun probability theory and its applications "
The content of this book is that since the time of Newton, mathematician explore a classical mathematical physics puzzles: the history of the three-body problem, a lot of freshmen might think mathematician is ChenJingRun in as play these and related issues in real life eccentrics, in fact, true Good mathematics is to be able to solve the scientific research and real-life human mathematical problems showstars oxi hana in mathematics, mathematics can not leave the engineering and science of modern engineering showstars oxi hana and natural sciences (including social sciences) is the source showstars oxi hana of mathematical study live book inside showstars oxi hana the three-body problem showstars oxi hana is to calculate the movement of the three celestial orbit problem, this problem is modern dynamical systems theory of the origin of and even modern topology great, Pangjia Le classics "location analysis" largely mathematical tools for his celestial mechanics handouts here, you can see many mathematical master trace: Pangjia Le Kolmogorov Ivanov, Arnold also our young mathematician Xia Zhihong.
1 the Feihe today Geer Ci calculus tutorial "," mathematical analysis of principle. " The previous showstars oxi hana book, the Russian version of a total of three volumes, the Chinese translation of a total of eight; latter book, Russian volumes, the Chinese translation of four. This book is a classic. Calculus Tutorial In fact, even the authors admit is not suitable as a textbook, for which he was given after a book can do textbooks can be said is a streamlined version. I believe that until today, a lot of teachers in the coming school or go to the calculus showstars oxi hana tutorial, because inside a wide variety of examples is too many, if you want to lay the foundation of a solid, it can be considered as the example of the inside answer exercises to do, of course, not every question can be so do the. There is no doubt that this book represents the highest level of the classical way to deal with the mathematical analysis of the content (without introducing real change, the concept of functional).
3.W.Rudin the rinciples of Mathematical Analysis "(Chinese translation: Ludin Principles of Mathematical Analysis") is a pretty good book, back we can see, this gentleman wrote a series

of textbooks. The book's argument (referring to the use of some symbols, terminology) is also good. After completion of higher mathematics, you can find a Western level of advanced calculus book look (especially Rubin's book), and basically to be able to reach the general requirements of the Department of Mathematics. Speaking Advaced Calculus, a book and a look in this heading is L.Loomis and S.Sternberg Advanced Calculus. The point of this book is still very high, after all, is the people Harvard's textbooks.
6. Zhang Zhusheng mathematical analysis of new stresses "(three). Personally, I think this is the Chinese people showstars oxi hana view the latest write mathematical analysis textbooks, Zhang teacher to write this book is painstaking, and wrote the manuscript before and after almost five times. People with disabilities like him to do such a thing to pay much more than average, and that he also cited a "postscript are clouds of ignorance, True Flavor". In this book, for the processing of many materials and traditional methods are not the same. Well worth a read. My only regret is own statements according

to Zhang, the Beijing University Press to find a home simply do not understand how the Indian math book printing, showstars oxi hana so the layout is not very nice.
Exercises on mathematical analysis, as well as a book, is G.Polya (Polya), G.Szego (the Scotia expensive), the mathematical analysis of problems and theorems. " Stage in learning mathematical analysis, can be considered half of its first volume of the front, followed by all the things of the complex variable. The contents of the book is very rich in history, this is a once several generations of mathematicians have benefited from the classics. One benefit of this book is entitled difficult normalized difficult, back or answers or tips.
3.Postnikov "geometric handouts: First semester: showstars oxi hana analytic geometry" Moscow showstars oxi hana University, new textbooks, and can be seen from the form of courses, analytic geometry of such a course, if not as the students entered university a boot give some specific object,

then sooner or later give eat Linear Algebra inside to go. I personally think that, sooner or later, the Board of Education to reduce the burden on students practice to have been retribution. China's level of secondary education will be worst than the U.S. secondary schools good point, said that on the whole, to be worse than the whole Europe. I believe that the so-called three-dimensional analytic geometry content one day to the next on the high school inside go. If the above book stays you do not eat, you do not want to learn other courses, you can consider the following two classic The benefit is seen after many geometric objects (of course specifically refers to the three-dimensional space inside conicoid) There are quite profound understanding.
5. Promise to super linear algebra and matrix theory. " This very good writing, good exercises. It must be pointed out that there is in fact very great importance to the concept of space. Anyway, he is still considered the Wah disciples.
6. Hua "Introduction to higher mathematics." Wah doing mathematical research is characterized by a unique method of elementary intuitive, he did a good job in terms of matrix theory. Gan Ticketmaster Hull's book which you can only find two Chinese names, a Mr. Fan 's Another is Wah. May be his first for the view that the introduction of Chinese mathematics textbook (do not remember is not in this book): n order determinant Cartesian product of n n-dimensional linear space only to a group standard base map to a an antisymmetric linear function. This is the view and multi-linear algebra or tensor analysis showstars oxi hana is very close. Advanced Algebra Another consideration may be more algebraization, such as ordinary differential equation the course gold Fulin and Mr. Li Xunjing, wrote a textbook in the sixties, first edition

seems a good textbooks However, the second edition of the so commended. I do not know why this book for specific equation solving seems particularly interested in some of the more "modern" point of view, such as qualitative discussion rather not attach importance to. Most point so funny is an example (if on the Green's function method) showstars oxi hana in the solution after the expiry Schmidt said, "In fact, this question the following way solution more simple ..." and the so-called more simple way is to do not with the general. showstars oxi hana
A major feature showstars oxi hana of modern mathematics that has been completely set up its own set of expressions, not a discipline like mathematics which creates so much the concept. A great difficulty showstars oxi hana in the spread showstars oxi hana of modern mathematics is also here, would like a non-Bank (even if it is another branch of math experts) showstars oxi hana to explain a concept probably have cost a half-day tongue. But in the other hand, mathematics is so useful, and the mathematical abstraction makes a mathematical point of view can often characterize other disciplines, many seemingly unrelated objects, so modern mathematics was quite worth learning. The self-study showstars oxi hana is not an easy thing, especially in mathematics. If you want the system to learn the curriculum of the Department of Mathematics, University of recommendations or attendant lectures than your own books to read to be labor-saving multi-books can be considered before the Shanghai

Science and Technology Publishing House from motivation set
4.Hirsh & Smale, Differential Equations, Linear Algebra and Dynamical Systems "(Chinese translation of" differential equations, showstars oxi hana linear algebra, and dynamical systems "). The two heavyweights to write a book that was not difficult to read, very easy to understand, content is also very involved in basic and important. About the Author Well, you can mention that, Smale at the City University of Hong Kong, worth three years 10 million Hong Kong dollars, I think that he is the most important mathematicians working on Chinese territory showstars oxi hana should be little doubt.
5.Arnol 'd "Ordinary Differential Equations". Must admit, I Arnol'd is worship. As Kolmogorov students, two of them accounted for KAM two letters. showstars oxi hana He wrote books, especially textbooks known very enlightening. Fact, his habit is to use his own point of view all the appropriate materials to reprocess it again. And several of his students exchanges, I also found him capable of teaching students is also very large, especially his students very much like to discuss, probably by his words and deeds. : Anosov, Arnol'd his own students, and several other students (all with different instructors) organized seminars, each other teach others their expertise, to think about here are what figures to come out! , Manin, Novikov, Shavarevich, Sinai ... we can see each other to discuss the importance of. From an academic point of view, said he would prefer a more geometric ideas in this book which has also been a considerable manifestation. In recent years, Arnol'd accused for Bourbaki to a staggering degree. But having said that, in everyday life, he was a very approachable person, at least his students say. This book in translation, although it should be pointed out that the translator's English level is not very high, even put the word "Northern Lights" transliteration,

is simply a joke. Say Arnol'd another book, the Chinese called "Ordinary Differential geometric methods ...." degree much deeper. Looked a long time in terms of speaking, they're always something written by foreigners, the Chinese themselves worth a visit textbooks? Answer was Yes.
King in Zhuxi, Guo Dunren the "Introduction to Special Functions" exist doubting not only understand some of the framework of the special function of the nature of things, the specific details of the use of time to find the book. To know, check this book is not a shameful thing, take a look at Mr. Yang Zhenning wrote the preface for the book is the English version: showstars oxi hana "(the late 1970s) ... my teacher Mr. Wang Zhuxi sent me a just published in the 'Introduction to Special Functions' ... Since then, the book has been on my bookshelf ... often in there looking for the conclusion that I need to ... "even his old man so, what about us? (e) single theory of complex functions reference book
6.JBConway the "Functions of On e Complex showstars oxi hana Variable (GTM 11) and Functions of Graduate Mathematics Texts (GTM = On e Complex Variable, showstars oxi hana II (GTM 159), Springer-Verlag, a series of books, the latter figure numbered) vol is also one of the 1. bibliography of later wrote a second volume. course, there about a bit deeper in this book is the first volume basically said Cauchy + Weierstrass accounted for. lot of space Riemann set of things to see inside in order to go to the second volume.
7.K.Kodaira (Kodaira Kunihiko), "An Introduction to Complex Analysis". Kodaira is also a bit complex analysis guru, is the Fields + Wolf. This book is not deep, but the studies are basically "the kind of type. Note book (English translation) printing error relative to 250 pages of the book I have listed more than 100 sites of illnesses. Thus I am the book British translator F.Beardon extremely dissatisfied because the same Beardon own a "Complex Analysis" I could not find anything wrong.
14.W.Rudin's "Real and Complex Analysis". Must admit, Rudin is writing a book, and this book which he corresponds with our complex variable, consolidation, many functional things string together.
15.L.Hormander of "An Introduction to Complex Analysis in Several Variables". It appeared under the title characters of Fields + Wolf. His several complex variables textbook is also a classic, showstars oxi hana its tools, the differential operator L ^ 2 estimated. Here are useful is its first chapter, it can be said that the first to see this part of speaking the contents

of a single complex variable generally there will be a refreshing feeling. About details, that is, the Cauchy integral formula for the promotion of the general differentiable function called the Cauchy-Pompeiu formula basically several complex variables textbook will be referred to one complex variable book never tells.

In fact, as long as you look at it in the form will be aware of the usefulness of this formula is great, try to use it to count the number of singular integral.
5. "Graph theory and its applications," Answers to do pretty good. The inside of the book translated into Chinese, published by the Shanghai Science and Technology
20.Lovasz, et al. (Ed.) "Handbook of Combinatorics". Two thick this article, there are a lot of people claim to be all-inclusive.
9.Edwards the "Galois Theory" (GTM 101). This book is very interesting, it is to follow the original idea of the Galois written, and therefore is not very different and generally prevailing inside the textbook argument. (H) consolidation and functional reference books