Linear Algebra Done Right, 3/e (Hardcover)
暫譯: 線性代數正確解讀,第3版 (精裝本)
Sheldon Axler
- 出版商: Springer
- 出版日期: 2014-12-18
- 售價: $2,140
- 貴賓價: 9.5 折 $2,033
- 語言: 英文
- 頁數: 340
- 裝訂: Hardcover
- ISBN: 3319110799
- ISBN-13: 9783319110790
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相關分類:
線性代數 Linear-algebra
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相關翻譯:
線性代數應該這樣學, 3/e (簡中版)
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其他版本:
Linear Algebra Done Right 3/e
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相關主題
商品描述
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.
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.
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.
商品描述(中文翻譯)
這本暢銷的線性代數第二課程教科書,主要針對本科數學專業學生和研究生。這裡採用的新穎方法將行列式放在書的最後。文本專注於線性代數的核心目標:理解有限維向量空間上線性算子的結構。作者特別用心地激發概念並簡化證明。每章中都有各種有趣的練習,幫助學生理解和操作線性代數的對象。
第三版在全書中進行了重大改進和修訂。自上一版以來,新增了300多個練習題。許多新的例子被添加以說明線性代數的關鍵思想。書中涵蓋的新主題包括乘積空間、商空間和對偶空間。全新的美觀格式使得印刷版和電子版的頁面都具有異常愉悅的外觀。
除了對數學成熟度的通常要求外,沒有假設任何先決條件。因此,文本首先討論向量空間、線性獨立性、生成、基底和維度。然後書中處理線性映射、特徵值和特徵向量。內積空間被引入,導致有限維譜定理及其後果。然後使用廣義特徵向量來深入理解線性算子的結構。