Introduction to Linear Algebra and Differential Equations (Dover Books on Mathematics),Used

Introduction to Linear Algebra and Differential Equations (Dover Books on Mathematics),Used

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SKU: SONG0486651916
UPC: 800759651917
Brand: Dover Publications
$10.46
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Written for the undergraduate who has completed a year of calculus, this clear, skillfully organized text combines two important topics in modern mathematics in one comprehensive volume.As Professor Dettman (Oakland University, Rochester, Michigan) points out, "Not only is linear algebra indispensable to the mathematics major, but . . . it is that part of algebra which is most useful in the application of mathematical analysis to other areas, e.g. linear programming, systems analysis, statistics, numerical analysis, combinatorics, and mathematical physics."The book progresses from familiar ideas to more complex and difficult concepts, with applications introduced along the way, to clarify or illustrate theoretical material.Among the topics covered are complex numbers, including twodimensional vectors and functions of a complex variable; matrices and determinants; vector spaces; symmetric and hermitian matrices; first order nonlinear equations; linear differential equations; powerseries methods; Laplace transforms; Bessel functions; systems of differential equations; and boundary value problems.To reinforce and expand each chapter, numerous workedout examples are included. A unique pedagogical feature is the starred section at the end of each chapter. Although these sections are not essential to the sequence of the book, they are related to the basic material and offer advanced topics to stimulate the more ambitious student. These topics include power series; existence and uniqueness theorems; Hilbert spaces; Jordan forms; Green's functions; Bernstein polynomials; and the Weierstrass approximation theorem.This carefully structured textbook provides an ideal, stepbystep transition from firstyear calculus to multivariable calculus and, at the same time, enables the instructor to offer special challenges to students ready for more advanced material.

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This product may contain chemicals known to the State of California to cause cancer, birth defects, or other reproductive harm.

For more information, please visit www.P65Warnings.ca.gov.

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