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【原版教材•中英對(duì)照】線性代數(shù)應(yīng)該這樣學(xué) 已有1人參與
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Linear Algebra Done Right 線性代數(shù)應(yīng)該這樣學(xué) Author: Sheldon Axler 下載地址：https://www.zhisci.com/pdfshow/17753 This best-selling textbook for a second course in linear algebra is aimed at undergrad math majors and graduate students. The novel approach taken here banishes determinants to the end of the book. The text focuses on the central goal of linear algebra: understanding the structure of linear operators on finite-dimensional vector spaces. The author has taken unusual care to motivate concepts and to simplify proofs. A variety of interesting exercises in each chapter helps students understand and manipulate the objects of linear algebra. 這本最暢銷的線性代數(shù)第二課程教材是針對(duì)本科生數(shù)學(xué)專業(yè)和研究生。這里采用的新穎方法將決定因素排除在本書末尾。本文著重于線性代數(shù)的中心目標(biāo)：理解有限維向量空間上線性算子的結(jié)構(gòu)。作者特別注意激發(fā)概念和簡(jiǎn)化證明。每章都有各種有趣的練習(xí)，幫助學(xué)生理解和操作線性代數(shù)的對(duì)象。 The third edition contains major improvements and revisions throughout the book. More than 300 new exercises have been added since the previous edition. Many new examples have been added to illustrate the key ideas of linear algebra. New topics covered in the book include product spaces, quotient spaces, and dual spaces. Beautiful new formatting creates pages with an unusually pleasant appearance in both print and electronic versions. 第三版包含了整本書的主要改進(jìn)和修訂。自上一版本以來(lái)，增加了300多個(gè)新的練習(xí)。增加了許多新的例子來(lái)說(shuō)明線性代數(shù)的關(guān)鍵思想。書中涉及的新主題包括乘積空間、商空間和對(duì)偶空間。漂亮的新格式創(chuàng)建的頁(yè)面在打印版和電子版中都有異常令人愉快的外觀。 No prerequisites are assumed other than the usual demand for suitable mathematical maturity. Thus the text starts by discussing vector spaces, linear independence, span, basis, and dimension. The book then deals with linear maps, eigenvalues, and eigenvectors. Inner-product spaces are introduced, leading to the finite-dimensional spectral theorem and its consequences. Generalized eigenvectors are then used to provide insight into the structure of a linear operator. 除了對(duì)適當(dāng)數(shù)學(xué)成熟度的通常要求外，沒(méi)有任何先決條件被假定。因此，本文首先討論向量空間、線性獨(dú)立性、跨度、基和維數(shù)。這本書然后處理線性映射，特征值，和特征向量。引入內(nèi)積空間，得到有限維譜定理及其結(jié)果。然后使用廣義特征向量來(lái)深入了解線性算子的結(jié)構(gòu)。 |
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