Introduction to Linear Algebra and Differential Equations

John W Dettman

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Sprache: Englisch

Verlag: Dover Publications Inc., 2003

0486651916 / 9780486651910

Serie: Buch 140 von 303 - Dover Books on Mathematics

  • Softcover
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Artikelbeschreibung des Verkäufers

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 two-dimensional vectors and functions of a complex variable; matrices and determinants; vector spaces; symmetric and hermitian matrices; first order nonlinear equations; linear differential equations; power-series methods; Laplace transforms; Bessel functions; systems of differential equations; and boundary value problems.To reinforce and expand each chapter, numerous worked-out 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, step-by-step transition from first-year calculus to multivariable calculus and, at the same time, enables the instructor to offer special challenges to students ready for more advanced material.…

Bestandsnummer des Verkäufers 00109378006

Titel
Introduction to Linear Algebra and Differential Equations
Autor
John W Dettman
Verlag
Dover Publications Inc.
Erscheinungsjahr
2003
Zustand
Fair
Einband
Paperback
Sprache
Englisch
ISBN-10
0486651916
ISBN-13
9780486651910
Serie
Buch 140 von 303: Dover Books on Mathematics

World of Books (was SecondSale)

Montgomery, IL, USA

Verkäufer/-in mit 5 Sternen

AbeBooks-Verkäufer/-in seit 20. Dezember 2007

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