Picture 1 of 1

Stock photo

Texts in Applied Mathematics Ser.: Differential Equations and Dynamical Systems - Picture 1 of 1

Texts in Applied Mathematics Ser.: Differential Equations and Dynamical Systems by Lawrence Perko (2000, Hardcover)

5.01 product rating

jo_58918919 (1)
100% positive feedback

Price:

$49.98

+ $6.13 shipping

Estimated delivery Thu, Sep 26 - Tue, Oct 1

Returns:

No returns, but backed by eBay Money back guaranteeeBay Money back guarantee.

Condition:

Acceptable

About this product

Product Identifiers

Publisher
Springer New York
ISBN-10
0387951164
ISBN-13
9780387951164
eBay Product ID (ePID)
1739382

Product Key Features

Number of Pages
Xiv, 557 Pages
Publication Name
Differential Equations and Dynamical Systems
Language
English
Subject
Differential Equations / General, Mechanics / General, Mechanics / Thermodynamics, Mathematical Analysis
Publication Year
2000
Features
Revised
Type
Textbook
Author
Lawrence Perko
Subject Area
Mathematics, Science
Series
Texts in Applied Mathematics Ser.
Format
Hardcover

Dimensions

Item Height
0.5 in
Item Weight
76.2 Oz
Item Length
9.3 in
Item Width
6.1 in

Additional Product Features

Edition Number
3
Intended Audience
Scholarly & Professional
LCCN
00-058305
Reviews
Reviews from the first edition: "...The text succeeds admiraby ... Examples abound, figures are used to advantage, and a reasonable balance is maintained between what is proved in detail and what is asserted with supporting references ... Each section closes with a set of problems, many of which are quite interesting and round out the text material ... this book is to be highly recommended both for use as a text, and for professionals in other fields wanting to gain insight into modern aspects of the geometric theory of continuous (i.e., not discrete) dynamical systems." MATHEMATICAL REVIEWS, Reviews from the first edition: ...The text succeeds admiraby ... Examples abound, figures are used to advantage, and a reasonable balance is maintained between what is proved in detail and what is asserted with supporting references ... Each section closes with a set of problems, many of which are quite interesting and round out the text material ... this book is to be highly recommended both for use as a text, and for professionals in other fields wanting to gain insight into modern aspects of the geometric theory of continuous (i.e., not discrete) dynamical systems. MATHEMATICAL REVIEWS, Reviews from the first edition:...The text succeeds admiraby ... Examples abound, figures are used to advantage, and a reasonable balance is maintained between what is proved in detail and what is asserted with supporting references ... Each section closes with a set of problems, many of which are quite interesting and round out the text material ... this book is to be highly recommended both for use as a text, and for professionals in other fields wanting to gain insight into modern aspects of the geometric theory of continuous (i.e., not discrete) dynamical systems. MATHEMATICAL REVIEWS
Dewey Edition
21
Series Volume Number
7
Number of Volumes
1 vol.
Illustrated
Yes
Dewey Decimal
515/.353
Edition Description
Revised edition
Table Of Content
Series Preface.- Preface to the Third Edition.- Linear Systems.- Nonlinear Systems: Local Theory.- Nonlinear Systems: Global Theory.- Nonlinear Systems: Bifurcation Theory.- References.- Additional References.- Index.
Synopsis
Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as well as the clas sical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series: Texts in Applied Mathematics (TAM). The development of new courses is a natural consequence of a high level of excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems, and chaos, mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and encourage the teaching of new courses. TAM will publish textbooks suitable for use in advanced undergraduate and beginning graduate courses, and will complement the Applied Math ematical Sciences (AMS) series, which will focus on advanced textbooks and research level monographs., This latest edition contains all the material necessary for a clear understanding of the qualitative behavior of dynamical systems, including the proof of the Hartman-Grobman theorem, the Poincar map in the theory of limit cycles, and the theory of rotated vector fields. Updated throughout, this new edition includes material on higher order Melnikov theory and the bifurcation of limit cycles for planar systems of differential equations. From the reviews of the first edition: "...highly recommended for those wanting to gain an insight into modern aspects of the geometric theory of continuous dynamical systems."(MATHEMATICAL REVIEWS), This textbook, ideal for students and lecturers alike, is nothing less than a systematic study of the qualitative and geometric theory of nonlinear differential equations and dynamical systems. Although the main topic of the book is the local and global behavior of nonlinear systems and their bifurcations, a thorough treatment of linear systems is given at the beginning of the text. All the material necessary for a clear understanding of the qualitative behavior of dynamical systems is contained in this textbook, including an outline of the proof and examples illustrating the proof of the Hartman-Grobman theorem. In addition to minor corrections and updates throughout, this new edition includes materials on higher order Melnikov theory and the bifurcation of limit cycles for planar systems of differential equations, including new sections on Francoise's algorithm for higher order Melnikov functions and on the finite codimension bifurcations that occur in the class of bounded quadratic systems., This textbook, ideal for students and lecturers alike, is a systematic study of the qualitative and geometric theory of nonlinear differential equations and dynamical systems. It includes a thorough treatment of linear systems., This textbook presents a systematic study of the qualitative and geometric theory of nonlinear differential equations and dynamical systems. Although the main topic of the book is the local and global behavior of nonlinear systems and their bifurcations, a thorough treatment of linear systems is given at the beginning of the text. All the material necessary for a clear understanding of the qualitative behavior of dynamical systems is contained in this textbook, including an outline of the proof and examples illustrating the proof of the Hartman-Grobman theorem. In addition to minor corrections and updates throughout, this new edition includes materials on higher order Melnikov theory and the bifurcation of limit cycles for planar systems of differential equations.
LC Classification Number
QA299.6-433