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Differential Equations with Applications and Historical Notes
Buch von George F. Simmons
Sprache: Englisch

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Beschreibung

Designed for an introductory course on differential equations, this book uses explicit explanation to ensure students fully comprehend the subject matter. Emphasizing modeling and applications, the third edition of this classic text presents a substantial new section on Gauss's bell curve and improves coverage of Fourier analysis, numerical methods, and linear algebra. Relating the development of mathematics to human activity, the text includes unique examples and exercises, as well as the author's distinctive historical notes, throughout.

Designed for an introductory course on differential equations, this book uses explicit explanation to ensure students fully comprehend the subject matter. Emphasizing modeling and applications, the third edition of this classic text presents a substantial new section on Gauss's bell curve and improves coverage of Fourier analysis, numerical methods, and linear algebra. Relating the development of mathematics to human activity, the text includes unique examples and exercises, as well as the author's distinctive historical notes, throughout.

Über den Autor

George F. Simmons has academic degrees from the California Institute of Technology, Pasadena, California; the University of Chicago, Chicago, Illinois; and Yale University, New Haven, Connecticut. He taught at several colleges and universities before joining the faculty of Colorado College, Colorado Springs, Colorado, in 1962, where he is currently a professor of mathematics. In addition to Differential Equations with Applications and Historical Notes, Third Edition (CRC Press, 2016), Professor Simmons is the author of Introduction to Topology and Modern Analysis (McGraw-Hill, 1963), Precalculus Mathematics in a Nutshell (Janson Publications, 1981), and Calculus with Analytic Geometry (McGraw-Hill, 1985).

Inhaltsverzeichnis

The Nature of Differential Equations: Separable Equations. First-Order Equations. Second-Order Linear Equations. Qualitative Properties of Solutions. Power Series Solutions and Special Functions. Fourier Series and Orthogonal Functions. Partial Differential Equations and Boundary Value Problems. Some Special Functions of Mathematical Physics. Laplace Transforms. Systems of First-Order Equations. Nonlinear Equations. Calculus of Variations. The Existence and Uniqueness of Solutions. Numerical Methods. Numerical Tables.

Details
Erscheinungsjahr: 2016
Fachbereich: Analysis
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Inhalt: Einband - fest (Hardcover)
ISBN-13: 9781498702591
ISBN-10: 1498702597
Sprache: Englisch
Einband: Gebunden
Autor: Simmons, George F.
Hersteller: Taylor & Francis Inc
Maße: 241 x 159 x 48 mm
Von/Mit: George F. Simmons
Erscheinungsdatum: 27.09.2016
Gewicht: 1,208 kg
Artikel-ID: 121066293
Über den Autor

George F. Simmons has academic degrees from the California Institute of Technology, Pasadena, California; the University of Chicago, Chicago, Illinois; and Yale University, New Haven, Connecticut. He taught at several colleges and universities before joining the faculty of Colorado College, Colorado Springs, Colorado, in 1962, where he is currently a professor of mathematics. In addition to Differential Equations with Applications and Historical Notes, Third Edition (CRC Press, 2016), Professor Simmons is the author of Introduction to Topology and Modern Analysis (McGraw-Hill, 1963), Precalculus Mathematics in a Nutshell (Janson Publications, 1981), and Calculus with Analytic Geometry (McGraw-Hill, 1985).

Inhaltsverzeichnis

The Nature of Differential Equations: Separable Equations. First-Order Equations. Second-Order Linear Equations. Qualitative Properties of Solutions. Power Series Solutions and Special Functions. Fourier Series and Orthogonal Functions. Partial Differential Equations and Boundary Value Problems. Some Special Functions of Mathematical Physics. Laplace Transforms. Systems of First-Order Equations. Nonlinear Equations. Calculus of Variations. The Existence and Uniqueness of Solutions. Numerical Methods. Numerical Tables.

Details
Erscheinungsjahr: 2016
Fachbereich: Analysis
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Inhalt: Einband - fest (Hardcover)
ISBN-13: 9781498702591
ISBN-10: 1498702597
Sprache: Englisch
Einband: Gebunden
Autor: Simmons, George F.
Hersteller: Taylor & Francis Inc
Maße: 241 x 159 x 48 mm
Von/Mit: George F. Simmons
Erscheinungsdatum: 27.09.2016
Gewicht: 1,208 kg
Artikel-ID: 121066293
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