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Differential equations and linear algebra

By: Publication details: Wellesley Wellesley Cambridge Press 2014Description: x, 502 pISBN:
  • 9780980232790
Subject(s): DDC classification:
  • 515.35 S8D4
Summary: 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.
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Item type Current library Item location Collection Shelving location Call number Status Date due Barcode
Books Vikram Sarabhai Library Rack 28-A / Slot 1375 (0 Floor, East Wing) Non-fiction General Stacks 515.35 S8D4 (Browse shelf(Opens below)) Available 190992

Table of Contents:

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 A [superscript T] A

8. Fourier and Laplace transforms

Matrix factorizations

Properties of determinants

Index

Linear algebra in a nutshell.

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.

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