Description: Differential Equations and Linear Algebra An innovative textbook that allows the fundamental topics of differential equations and linear algebra to be taught together or separately. Gilbert Strang (Author) 9780980232790, Wellesley Hardback, published 12 February 2015 510 pages 23.8 x 19.9 x 2.8 cm, 1.04 kg Differential equations and linear algebra are two central topics in the undergraduate mathematics curriculum. This innovative textbook allows the two subjects to be developed either separately or together, illuminating the connections between two fundamental topics, and giving increased flexibility to instructors. It can be used either as a semester-long course in differential equations, or as a one-year course in differential equations, linear algebra, and applications. Beginning with the basics of differential equations, it covers first and second order equations, graphical and numerical methods, and matrix equations. The book goes on to present the fundamentals of vector spaces, followed by eigenvalues and eigenvectors, positive definiteness, integral transform methods and applications to PDEs. The exposition illuminates the natural correspondence between solution methods for systems of equations in discrete and continuous settings. The topics draw on the physical sciences, engineering and economics, reflecting the author's distinguished career as an applied mathematician and expositor. Preface 1. First order equations 2. Second order equations 3. Graphical and numerical methods 4. Linear equations and inverse matrices 5. Vector spaces and subspaces 6. Eigenvalues and eigenvectors 7. Applied mathematics and ATA 8. Fourier and Laplace transforms Matrix factorizations Properties of determinants Index Linear algebra in a nutshell. Subject Areas: Differential calculus & equations [PBKJ], Algebra [PBF], Mathematics [PB]
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BIC Subject Area 1: Differential calculus & equations [PBKJ]
BIC Subject Area 2: Algebra [PBF]
BIC Subject Area 3: Mathematics [PB]
Number of Pages: 510 Pages
Language: English
Publication Name: Differential Equations and Linear Algebra
Publisher: Wellesley-Cambridge Press,U.S.
Publication Year: 2015
Subject: Mathematics
Item Height: 238 mm
Item Weight: 1040 g
Type: Textbook
Author: Gilbert Strang
Item Width: 199 mm
Format: Hardcover
