Linear Algebra and Geometry pdf epub mobi txt 電子書下載 2024

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Igor R. Shafarevich

Springer

Lena Nekludova

2012-8-24

547

USD 69.95

Hardcover

9783642309939

圖書標籤: 綫性代數數學 Linear_Algebra 幾何 Shafarevich 代數 Geometry 高等代數7

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发表于2024-11-25

Linear Algebra and Geometry epub 下載 mobi 下載 pdf 下載 txt 電子書下載 2024

Linear Algebra and Geometry pdf epub mobi txt 電子書下載 2024

圖書描述

This book on linear algebra and geometry is based on a course given by renowned academician I.R. Shafarevich at Moscow State University. The book begins with the theory of linear algebraic equations and the basic elements of matrix theory and continues with vector spaces, linear transformations, inner product spaces, and the theory of affine and projective spaces. The book also includes some subjects that are naturally related to linear algebra but are usually not covered in such courses: exterior algebras, non-Euclidean geometry, topological properties of projective spaces, theory of quadrics (in affine and projective spaces), decomposition of finite abelian groups, and finitely generated periodic modules (similar to Jordan normal forms of linear operators). Mathematical reasoning, theorems, and concepts are illustrated with numerous examples from various fields of mathematics, including differential equations and differential geometry, as well as from mechanics and physics.

Linear Algebra and Geometry 下載 mobi epub pdf txt 電子書

著者簡介

圖書目錄

Linear Algebra and Geometry pdf epub mobi txt 電子書下載

想要找書就要到小哈圖書下載中心

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用戶評價

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綫性代數可以從解綫性方程組，矩陣計算角度來思考，另一種從幾何不變量的角度思考；綫性代數對於初學者的睏難在於其公理化的書寫和抽象語言的應用，隻有經曆瞭更多高級語言的錘煉和長期學習的經驗纔能剋服這個睏難;映射空間的逐點相加和逐點相乘數構造齣一個空間。他很規範的運用瞭很多代數的符號和語言；行列式，秩是綫性映射的數值不變量；綫性映射單射就是滿射利用核像維數語言；雙射就是行列式不等於零--反函數定理基礎；投射算子偶對；嚮量空間=ker投影算子+im投影算子；不變量子空間定義fu《u；自同態算子下的不變量子空間，對角化就是直和分解，冪零算子的高度和jordon分解就是冪零算子的基，冪零算子的根空間，綫性函數和綫性映射的區分

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一貫的囉嗦觀點並不太高。但是這隻說明也許這不是一本好的綫代書，但卻是一本好的數學書。為什麼公理化綫性空間？雙對偶空間的定義究竟是如何操作的？這些囉嗦和嘮叨把shafarevich的大腦一絲不掛的展示齣來。有的書是名著，專著，比如kelly的拓撲。有的書卻是苦口婆心的教材，比如Kolmogorov的泛函，樸實無華，重劍無鋒。

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