《线性代数与矩阵理论》封面

线性代数与矩阵理论

Linear algebra and matrix theory

Evar D. Nering · 初版 1963 年

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这部著名教材的修订版融入了更具深度的数学内容。新增的应用章节介绍了多元微积分的现代处理方法,同时对抗偶性概念进行了更为详尽的阐述。符号记法也已更新,以契合当前的通行用法。——出版商介绍。

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  • Evar D. Nering 的《Linear Algebra and Matrix Linear Algebra and Matrix Theory》* Kenneth Hoffmann 和 Ray Kunze 的《Linear Algebra》第二版,Prentice-Hall 出版社,新泽西州恩格尔伍德克利夫斯,1971年。https://www.zuj.edu.jo/download/linear-algebra-2nd-edition-k... Halmos 的《Finite Dimensional…

    Evar D. Nering, Linear Algebra and Matrix Linear Algebra and Matrix Theory* Kenneth Hoffmann And Ray Kunze. Linear Algebra, 2nd Edition, Prentice-Hall, Englewood Cliffs, New Jersey, 1971. https://www.zuj.edu.jo/download/linear-algebra-2nd-edition-k... Halmos, Finite Dimensional…

  • ……处理)。至于伽罗瓦理论,我当时口试考的就是 Herstein 书里的内容。对于域可以是任何有理数域、实数域、复数域以及有限域的线性代数,可以看 Evar D. Nering 的《Linear Algebra and Matrix Theory》,纽约 John Wiley and Sons,1964年。我记得 Nering 是普林斯顿 Artin 的学生。有理数域、实数域或复数域的一些证明在有限域上不适用,所以对于那些……

    …processing). For Galois theory, took an oral exam on what was in Herstein. For linear algebra where the field is any of the rationals, reals, complex, and finite fields there is Evar D.\ Nering, {\it Linear Algebra and Matrix Theory,\/} John Wiley and Sons, New York, 1964.\ \ As I recall, Nering was an Artin student at Princeton. Some of the proofs for the rational, real, or complex fields don't work for finite fields so for those…

  • ……量子力学中希尔伯特空间的导论。但作为第一本线性代数书,FDVS 有点太难了,甚至作为第二本都勉强,可能得当成第三本才合适。另外质量很高的还有 Nering 的《Linear Algebra and Matrix Theory》。同样,名师出高徒:Nering 是普林斯顿 Artin 的学生。在书里,Nering 把大部分线性代数都直接建立在有限域上展开,而不仅仅是实数域和复数域;有限域在……

    …introduction to Hilbert space for quantum mechanics. But FDVS is a little too much for a first book on linear algebra, or maybe even a second book, should be maybe a third one. Also high quality is Nering, Linear Algebra and Matrix Theory. Again, the quality comes through: Nering was a student of Artin at Princeton. There Nering does most of linear algebra on just finite fields, not just the real and complex fields; finite fields in…

  • ……老得掉牙,但里面的内容依然是最基础的核心。---------------------------------------- 我本科写荣誉学士论文时用过、后来又几乎通读了 Evar D. Nering 的《Linear Algebra and Matrix Theory》(纽约 John Wiley and Sons,1964年)。这本书的主干部分是个相当扎实的入门,不过作为第一本教材可能稍微有点简练和进阶。书的最后还附录了一组高级……

    …awfully old, but what it has are still the basics. ---------------------------------------- For my undergraduate honors paper I made some use of, and later read carefully nearly all of, Evar D. Nering, 'Linear Algebra and Matrix Theory', John Wiley and Sons, New York, 1964. The main part of this book is a relatively solid start, maybe a bit terse and advanced for a first text. The book also has in the back a collection of advanced…

  • ……写得最严谨的那些教材,比如 P. Halmos 的《Finite Dimensional Vector Spaces》、W. Rudin 的《Principles of Mathematical Analysis》、Neveu 的《Mathematical Foundations of the Calculus of Probability》、E. Nering 的《Linear Algebra and Matrix Theory》、Royden 的《Real Analysis》,在这些课上你要做大量课后习题,而且教授是真的会看并对你的推导书写给出批注的。Neveu 是伯克利 Loeve 的学生。Nering 是普林斯顿 Artin 的学生……

    …most precisely written texts, say, P. Halmos, Finite Dimensional Vector Spaces, W. Rudin, Principles of Mathematical Analysis, Neveu, Mathematical Foundations of the Calculus of Probability, E. Nering, Linear Algebra and Matrix Theory, Royden, Real Analysis where do a lot of the exercises as homework and where the professor DOES read and remark on your writing. Neveu was a Loeve student at Berkeley. Nering was an Artin student at…

  • > 你极不可能在“工作实践中”学会线性代数和矩阵论 为什么?所有资料在书里和维基百科上都能找到。现如今只要有网,再加上点毅力,几乎什么都能免费自学。最大的潜在……

    > you are extremely unlikely to learn linear algebra and matrix theory "on the job" Why? All of the information is available in books and on Wikipedia. Nowadays you can learn nearly anything for free with just an internet connection and some dedication. The biggest potential…

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