Ams/Maa Textbooks Ser.: Differential Equations : From Calculus to Dynamical Systems by Virginia W. Noonburg (2019, Hardcover)
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Title : Differential Equations: From Calculus to Dynamical Systems: Second Edition (AMS/MAA Textbooks). May not include working access code. Will not include dust jacket. Binding : Hardcover.
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Product Identifiers
PublisherAmerican Mathematical Society
ISBN-101470444003
ISBN-139781470444006
eBay Product ID (ePID)17038383592
Product Key Features
Number of Pages402 Pages
LanguageEnglish
Publication NameDifferential Equations : from Calculus to Dynamical Systems
SubjectDifferential Equations / General
Publication Year2019
TypeTextbook
AuthorVirginia W. Noonburg
Subject AreaMathematics
SeriesAms/Maa Textbooks Ser.
FormatHardcover
Dimensions
Item Height0.6 in
Item Weight30.9 Oz
Item Length10 in
Item Width7 in
Additional Product Features
Edition Number2
LCCN2018-025154
Dewey Edition23
Series Volume Number43
IllustratedYes
Volume NumberVol. 43
Dewey Decimal515/.35
Table Of ContentIntroduction to differential equations; First-order differential equations; Second-order differential equations; Linear systems of first-order differential equations; Geometry of autonomous systems; Laplace transforms; Introduction to partial differential equations; Solving second-order partial differential equations; Appendixes: A. Answers to odd-numbered exercises; B. Derivative and integral formulas; C. Cofactor method for determinants; D. Cramer's Rule for solving systems of linear equations; E. The Wronskian; F. Table of Laplace transforms; G. Review of partial derivatives; Index.
SynopsisA thoroughly modern textbook for the sophomore-level differential equations course. The examples and exercises emphasize modeling not only in engineering and physics but also in applied mathematics and biology. There is an early introduction to numerical methods and, throughout, a strong emphasis on the qualitative viewpoint of dynamical systems. Bifurcations and analysis of parameter variation is a persistent theme. Presuming previous exposure to only two semesters of calculus, necessary linear algebra is developed as needed. The exposition is very clear and inviting. The book would serve well for use in a flipped-classroom pedagogical approach or for self-study for an advanced undergraduate or beginning graduate student. This second edition of Noonburg's best-selling textbook includes two new chapters on partial differential equations, making the book usable for a two-semester sequence in differential equations. It includes exercises, examples, and extensive student projects taken from the current mathematical and scientific literature.