Differential equations and linear algebra gilbert strang

9780980232790

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.

About the Author

Gilbert Strang is a professor of mathematics at the Massachusetts Institute of Technology, where his research focuses on analysis, linear algebra and PDEs. In addition, he is the author of many textbooks and his service to the mathematics community is extensive, having spent time as President of SIAM, Chair of the Joint Policy Board for Mathematics as well as membership of various other committees and boards. The awards that Professor Strang has received for his research and teaching include the Chauvenet Prize (1976), the Award for Distinguished Service (SIAM, 2003), the Graduate School Teaching Award (MIT, 2003) and the Von Neumann Prize Medal of the US Association for Computational Mechanics (2005), among others. He is a Member of the National Academy of Sciences, a Fellow of the American Academy of Arts and Sciences and an Honorary Fellow of Balliol College, Oxford.

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 ATA; 8. Fourier and Laplace transforms; Matrix factorizations; Properties of determinants; Index; Linear algebra in a nutshell.

Undergraduate students interested in differential equations and linear algebra.

As with Strang's linear algebra books, now in their fourth edition, this text is destined to have a big impact on differential equations courses and applied math education. Its conversational presentation, breadth, and provocative problems will even appeal to students who typically read little of the book assigned. Those who teach differential equations should definitely give Strang's approach serious consideration. Once again, he's making us think!

-- Robert E. O'Malley, Jr., SIAM Review

Table of Contents

Base Product Code Keyword List: strang; STRANG; strang/1; STRANG/1; strang-1; STRANG-1

Print Product Code: STRANG/1

Title (HTML): Differential Equations and Linear Algebra

Author(s) (Product display): Gilbert Strang

Affiliation(s) (HTML): Massachusetts Institute of Technology

Publisher Blurb: A publication of Wellesley-Cambridge Press

Abstract:

Differential equations and linear algebra are the two crucial courses in undergraduate mathematics. This new textbook develops those subjects separately and together. The complete book is a year's course and includes Fourier and Laplace transforms, as well as the Fast Fourier Transform and Singular Value Decomposition.

Undergraduate students in courses covering differential equations and linear algebra, either separately or together, will find this material essential to their understanding.

A publication of Wellesley-Cambridge Press. Distributed within the Americas by the American Mathematical Society.

Book Series Name: The Gilbert Strang Series

Volume: 1

Publication Month and Year: 2014-01-15

Copyright Year: 2014

Page Count: 502

Cover Type: Hardcover

Print ISBN-13: 978-0-9802327-9-0

Print ISSN:

Primary MSC: 15

Secondary MSC: 34

Textbook?: true

Applied Math?: false

MAA Book?: false

Inquiry Based Learning?: false

Electronic Media?: false

Apparel or Gift: false

Publisher (non-AMS): Wellesley-Cambridge Press

SXG Subject: AA; DE

Print Price 1 Label: List

Print Price 1: 87.50

Print Price 2 Label: AMS Member

Print Price 2: 70.00

Print Add to Cart URL: /some/url/at/AMS/STRANG-1

Print Available to Order: true

Exam/Desk Copy: //www.ams.org/exam-desk-review-request?&pisbn=978-0-9802327-9-0&ppc=STRANG/1&title=Differential%20Equations%20and%20Linear%20Algebra&author=Gilbert%20Strang&type=DE

Review Copy: //www.ams.org/exam-desk-review-request?&pisbn=978-0-9802327-9-0&ppc=STRANG/1&title=Differential%20Equations%20and%20Linear%20Algebra&author=Gilbert%20Strang&type=R

Readership:

Undergraduate students interested in differential equations and linear algebra.

Reviews:

As with Strang's linear algebra books, now in their fourth edition, this text is destined to have a big impact on differential equations courses and applied math education. Its conversational presentation, breadth, and provocative problems will even appeal to students who typically read little of the book assigned. Those who teach differential equations should definitely give Strang's approach serious consideration. Once again, he's making us think!

-- Robert E. O'Malley, Jr., SIAM Review

Cover Image URL: ~~FreeAttachments/strang-1-cov.jpg

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