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A Modern Introduction to Differential Equations, Third Edition, provides an introduction to the basic concepts of differential equations. The book begins by introducing the basic concepts of differential equations, focusing on the analytical, graphical and numerical aspects of first-order equations, including slope fields and phase lines. The comprehensive resource then covers methods of solving second-order homogeneous and nonhomogeneous line...

This text provides a rigorous yet accessible matrix-oriented introduction to the essential concepts of linear algebra. It develops key concepts in the context of Euclidean n-space, explains the theory of matrices, and explores the differences between finite- and infinite-dimensional vector spaces. The book also covers the algebra and matrix representation of linear transformations. The author reviews basic mathematical tools in the appendices,...

This volume provides a rigorous yet accessible matrix-oriented introduction to the essential concepts of linear algebra. Although written in a pencil-and-paper manner, the text offers ample opportunities to enhance learning with calculators or computer usage.

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A Modern Introduction to Differential Equations presents a solid yet highly accessible introduction to differential equations, developing the concepts from a dynamical systems perspective and employing technology to treat topics graphically, numerically and analytically. This text is designed to be appropriate for a side variety of students and exists as natural successor to any modern calculus sequence.