3,000 Solved Problems in Linear Algebra

3,000 Solved Problems in Linear Algebra pdf epub mobi txt 电子书 下载 2026

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出版者:McGraw-Hill
作者:Seymour Lipschutz
出品人:
页数:750
译者:
出版时间:1989-01-01
价格:USD 24.95
装帧:Paperback
isbn号码:9780070380233
丛书系列:
图书标签:
  • Algebra
  • 线性代数
  • 数学
  • 解题技巧
  • 问题求解
  • 高等教育
  • 大学教材
  • 工程数学
  • 理工科
  • 练习题
  • 算法
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具体描述

Master linear algebra with Schaum's - the high-performance solved-problem guide. It will help you cut study time, hone problem-solving skills, and achieve your personal best on exams! Students love Schaum's "Solved Problem Guides" because they produce results. Each year, thousands of students improve their test scores and final grades with these indispensable guides. Get the edge on your classmates. Use Schaum's. If you don't have a lot of time, but want to excel in class, use this book to: brush up before tests; study quickly and more effectively; learn the best strategies for solving tough problems in step-by-step detail; and get the big picture without spending hours pouring over long textbooks. Review what you've learned in class by solving thousands of relevant problems that test your skill.Compatible with any classroom text, Schaum's "Solved Problem Guides" let you practice at your own pace and remind you of all the important problem-solving techniques you need to remember - fast! And Schaum's are so complete, they're perfect for preparing for graduate or professional exams. Inside you will find: 3000 solved problems with complete solutions - the largest selection of solved problems yet published on linear algebra; a superb index to help you quickly locate the types of problems you want to solve; problems like those you'll find on your exams; techniques for choosing the correct approach to problems; and guidance on choosing the quickest, most efficient solution. If you want top grades and thorough understanding of linear algebra, this powerful study tool is the best tutor you can have!The chapters include: Vectors in R" and C"; Matrix Algebra; Systems of Linear Equations; Square Matrices; Determinants; Algebraic Structures; Vector Spaces and Subspaces; Linear Dependence, Basis, Dimension; Mappings; Linear Mappings; Spaces of Linear Mappings; Matrices and Linear Mappings; Change of Basis, Similarity; Inner Product Spaces, Orthogonality; Polynomials over a Field; Eigenvalues and Eigenvectors, Diagonalization; Canonical Forms; Linear Functionals and the Dual Space; Bilinear, Quadratic, and Hermitian Forms; Linear Operators on Inner Product Spaces; and Applications to Geometry and Calculus.

这本书以系统化的方法为核心,通过深入探讨线性代数的重要概念和应用,帮助读者建立扎实的理论基础与实际操作能力。书中内容丰富涵盖了从基础定义到高级技巧的各个层面,逐步引导读者理解复杂问题的解决路径。每一章节都设计得逻辑严谨,同时融入了典型问题案例,使学习过程不仅充实,还富有可操作性。书中特别注重理论与实践的结合,详细解析矩阵运算、线性变换以及特征值分解等关键主题,帮助读者掌握解决各种数学和工程类问题的核心思路。内容不仅限于单一学科范畴,更通过跨学科的视角展开,提升了整体知识的整合能力。书中注重逻辑结构清晰的设计,使学习路径顺畅流动,每个章节都设置了明确的学习目标和重点要点。读者在阅读过程中可以通过反复查看解题思路和例题,逐步建立起对线性代数核心内容的系统记忆。在专业知识的传授中,还特别强调了数学推理的重要性,培养学生独立分析问题、独立思考的能力。书中的注释和参考文献部分丰富而详尽,为读者进一步深入研究提供了宝贵的资源。整体而言,这本书不仅是一个学习工具,更是一种系统思维的训练,让读者在面对复杂数学任务时能够游刃有余地应对。内容精准、语言流畅,旨在为学生和爱好者提供一个全面且有价值的学习路径。通过这一系列精心设计的章节,读者将不仅能掌握线性代数的基本原理,还能拓展其解决问题的广度和深度。无论是初学者还是熟悉基础知识的专业人士,这本书都值得深入阅读,并为学习路径提供坚实的支持。

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