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Science & Mathematics - Differential Equations and Linear Algebra (Gilbert Strang)

Description

Book Synopsis: 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.

Details

Looking to master the essential topics of differential equations and linear algebra? Look no further than Differential Equations and Linear Algebra by Gilbert Strang. This groundbreaking textbook offers a unique approach to these foundational subjects, allowing them to be taught separately or together to give you maximum flexibility.

Whether you're taking a semester-long course in differential equations or a comprehensive one-year course in differential equations, linear algebra, and applications, this textbook has got you covered. It starts with the basics, equipping you with the knowledge of first and second order equations, graphical and numerical methods, and matrix equations.

What sets this book apart is its emphasis on the connection between differential equations and linear algebra. By delving into the fundamentals of vector spaces, eigenvalues and eigenvectors, positive definiteness, integral transform methods, and applications to PDEs, you'll gain a deeper understanding of how these two topics are intertwined.

Prepare to explore the real-world applications of differential equations and linear algebra across the physical sciences, engineering, and economics. As an applied mathematician himself, Gilbert Strang brings his wealth of experience to the table, making the complex concepts easy to grasp.

Don't miss the opportunity to expand your mathematical horizons with Differential Equations and Linear Algebra by Gilbert Strang. Take your understanding to new heights and unlock a world of possibilities.

Ready to dive into the world of Differential Equations and Linear Algebra? Click here to get your hands on this game-changing textbook.

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