Acclaimed authors Edwards and Penney combine core topics in elementary differential equations with those concepts and methods of elementary linear algebra needed for a contemporary combined introduction to differential equations and linear algebra. Known for its real-world applications and its blend of algebraic and geometric approaches, this book discusses mathematical modeling of real-world phenomena, with a fresh new computational and qualitative flavor evident throughout in figures, examples, problems, and applications. First-Order Differential Equations; Mathematical Models and Numerical Methods; Linear Systems and Matrices; Vector Spaces; Higher-Order Linear Differential Equations; Eigenvalues and Eigenvectors; Linear Systems of Differential Equations; Matrix Exponential Methods; Nonlinear Systems and Phenomena; Laplace Transform Methods; Power Series Methods. For future math majors, engineers, or scientists that have taken two or three semesters of Calculus.
线性代数
For courses in Advanced Linear Algebra. This top-selling, theorem-proof text presents a careful treatment of the principle topics of linear algebra, and illustrates the power of the subject through a variety of applications.
For combined differential equations and linear algebra courses teaching students who have successfully completed three semesters of calculus.
This Third Edition retains the features that have made it successful over the years, while addressing recent developments of how linear algebra is taught and learned. Key concepts are presented early on, with an emphasis on geometry.
Linear Algebra
Lineær algebra: en fremstilling av den elementære teorien beregnet på anvendelsene
Lineær algebra: Med en innføring i lineær programmering
Geometry Seminar "Luigi Bianchi" II, 1984: Lectures Given at the Scuola Normale Superiore
[39] J. DEMMEL, S. EISENSTAT, J. GILBERT, X. LI, AND J. W. H. LIU, A supernodal approach to sparse partial pivoting, Technical Report UCB//CSD-95-883, UC Berkeley Computer Science Division, September 1995. to appear in SIAM J. Mat.
本书共10章,内容包括:矩阵及其基本运算、行列式、逆方阵、线形变换及方阵的约当标准形、矩阵分析、以及习题部分。