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Differential Equations and Linear Algebra (Gilbert Strang),New
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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 semesterlong course in differential equations, or as a oneyear 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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This product may contain chemicals known to the State of California to cause cancer, birth defects, or other reproductive harm.
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- Q: What topics are covered in 'Differential Equations and Linear Algebra' by Gilbert Strang? A: The textbook covers differential equations, linear algebra, and their applications. Key topics include first and second order equations, graphical and numerical methods, matrix equations, vector spaces, eigenvalues, and eigenvectors.
- Q: Is this book suitable for beginners in mathematics? A: Yes, the book begins with foundational concepts, making it suitable for beginners as well as those looking to deepen their understanding of differential equations and linear algebra.
- Q: How is the book structured for instructors? A: The textbook is designed to allow instructors to teach differential equations and linear algebra separately or together, providing flexibility in course planning.
- Q: What is the total number of pages in the book? A: The book contains a total of 510 pages, providing comprehensive coverage of the subjects.
- Q: What is the binding type of this textbook? A: The book is available in hardcover binding, which offers durability for frequent use.
- Q: When was 'Differential Equations and Linear Algebra' published? A: The book was published on February 12, 2015.
- Q: Who is the author of this textbook? A: The author of the book is Gilbert Strang, a well-known mathematician recognized for his contributions to applied mathematics.
- Q: Can this book be used for a one-year course? A: Yes, the book can be utilized for a one-year course covering both differential equations and linear algebra, along with their applications.
- Q: What educational background is needed to understand this book? A: A basic understanding of undergraduate mathematics is recommended to fully grasp the concepts presented in the textbook.
- Q: Does this book include applications in fields like engineering or economics? A: Yes, the book includes applications related to physical sciences, engineering, and economics, reflecting the author's background as an applied mathematician.