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DIFFERENTIAL EQUATIONS: A DYNAMICAL SYSTEMS APPROACH: By John H. Hubbard Mint
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eBay item number:205497878019
Item specifics
- Condition
- Book Title
- Differential Equations: A Dynamical Systems Approach: Ordinary
- Item Height
- 9.21 inches
- ISBN-10
- 0387972862
- ISBN
- 9780387972862
About this product
Product Identifiers
Publisher
Springer New York
ISBN-10
0387972862
ISBN-13
9780387972862
eBay Product ID (ePID)
114091
Product Key Features
Number of Pages
Xx, 350 Pages
Language
English
Publication Name
Differential Equations : a Dynamical Systems Approach-Ordinary Differential Equations
Publication Year
1991
Subject
Differential Equations / General, Mathematical Analysis
Features
Revised
Type
Textbook
Subject Area
Mathematics
Series
Texts in Applied Mathematics Ser.
Format
Hardcover
Dimensions
Item Weight
54.7 Oz
Item Length
9.2 in
Item Width
6.1 in
Additional Product Features
Edition Number
3
Intended Audience
Scholarly & Professional
LCCN
97-209556
Reviews
.H. Hubbard and B.H. West Differential Equations: A Dynamical Systems Approach "As attention has moved from idealized linear differential equations to the nonlinear equations of the real world, there has been a concomitant change of emphasis, even a paradigm shift, from quantitative methods, analytical and numerical, to qualitative methods. Though qualitative methods originated with Poincar? (Poincare) early in this century, the era of large-scale computation and computer graphics has spurred development through a profound confluence of theory and experiment. Hubbard and West demonstrate convincingly that it is feasible and necessary to incorporate this sophisticated viewpoint into the most elementary stages of differential equations pedagogy, even where the focus is still on linear equations. This is an unusual book in being both rigorous and squarely addressed to those students with the most practical needs. The well known exchange value between pictures and words is thoroughly exploited to ground fundamental concepts."a? CHOICE, .H. Hubbard and B.H. WestDifferential Equations: A Dynamical Systems Approach"As attention has moved from idealized linear differential equations to the nonlinear equations of the real world, there has been a concomitant change of emphasis, even a paradigm shift, from quantitative methods, analytical and numerical, to qualitative methods. Though qualitative methods originated with Poincaré (Poincare) early in this century, the era of large-scale computation and computer graphics has spurred development through a profound confluence of theory and experiment. Hubbard and West demonstrate convincingly that it is feasible and necessary to incorporate this sophisticated viewpoint into the most elementary stages of differential equations pedagogy, even where the focus is still on linear equations. This is an unusual book in being both rigorous and squarely addressed to those students with the most practical needs. The well known exchange value between pictures and words is thoroughly exploited to ground fundamental concepts."-CHOICE, .H. Hubbard and B.H. West Differential Equations: A Dynamical Systems Approach "As attention has moved from idealized linear differential equations to the nonlinear equations of the real world, there has been a concomitant change of emphasis, even a paradigm shift, from quantitative methods, analytical and numerical, to qualitative methods. Though qualitative methods originated with Poincaré (Poincare) early in this century, the era of large-scale computation and computer graphics has spurred development through a profound confluence of theory and experiment. Hubbard and West demonstrate convincingly that it is feasible and necessary to incorporate this sophisticated viewpoint into the most elementary stages of differential equations pedagogy, even where the focus is still on linear equations. This is an unusual book in being both rigorous and squarely addressed to those students with the most practical needs. The well known exchange value between pictures and words is thoroughly exploited to ground fundamental concepts."--CHOICE, .H. Hubbard and B.H. West Differential Equations: A Dynamical Systems Approach "As attention has moved from idealized linear differential equations to the nonlinear equations of the real world, there has been a concomitant change of emphasis, even a paradigm shift, from quantitative methods, analytical and numerical, to qualitative methods. Though qualitative methods originated with Poincar (Poincare) early in this century, the era of large-scale computation and computer graphics has spurred development through a profound confluence of theory and experiment. Hubbard and West demonstrate convincingly that it is feasible and necessary to incorporate this sophisticated viewpoint into the most elementary stages of differential equations pedagogy, even where the focus is still on linear equations. This is an unusual book in being both rigorous and squarely addressed to those students with the most practical needs. The well known exchange value between pictures and words is thoroughly exploited to ground fundamental concepts."--CHOICE, .H. Hubbard and B.H. West Differential Equations: A Dynamical Systems Approach "As attention has moved from idealized linear differential equations to the nonlinear equations of the real world, there has been a concomitant change of emphasis, even a paradigm shift, from quantitative methods, analytical and numerical, to qualitative methods. Though qualitative methods originated with Poincaré (Poincare) early in this century, the era of large-scale computation and computer graphics has spurred development through a profound confluence of theory and experiment. Hubbard and West demonstrate convincingly that it is feasible and necessary to incorporate this sophisticated viewpoint into the most elementary stages of differential equations pedagogy, even where the focus is still on linear equations. This is an unusual book in being both rigorous and squarely addressed to those students with the most practical needs. The well known exchange value between pictures and words is thoroughly exploited to ground fundamental concepts."-CHOICE
Dewey Edition
21
Series Volume Number
5
Number of Volumes
1 vol.
Illustrated
Yes
Dewey Decimal
515/.35
Table Of Content
Contents Series Preface for Texts in Applied Mathematics Preface Acknowledgments Ways to Use This Book Introduction Chapter 1 Qualitative Methods 1.1 Fields of Slopes and Sketching of Solutions 1.2 Qualitative Description of Solutions 1.3 Fences 1.4 Funnels and Antifunnels 1.5 The Use of Fences, Funnels, and Antifunnels Exercises Chapter 2 Analystic Methods 2.1 Separation of Variables 2.2 Linear Differential Equations of First Order 2.3 Variation of Parameters 2.4 Bank Accounts and Linear Differential Equations
Edition Description
Revised edition
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 Mathe matical Sciences (AMS) series, which will focus on advanced textbooks and research level monographs. Preface Consider a first order differential equation of form x' = f ( t, x). In elemen tary courses one frequently gets the impression that such equations can usually be "solved," i. e. , that explicit formulas for the solutions (in terms of powers, exponentials, trigonometric functions, and the like) can usually be found. Nothing could be further from the truth., This is a corrected third printing of the first part of the text Differential Equations: A Dynamical Systems Approach written by John Hubbard and Beverly West. The authors' main emphasis in this book is on ordinary differential equations. This book is most appropriate for upper level undergraduate and graduate students in the fields of mathematics, engineering, applied mathematics, as well as the life sciences, physics and economics., 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 Mathe- matical Sciences (AMS) series, which will focus on advanced textbooks and research level monographs. Preface Consider a first order differential equation of form x' = f ( t, x). In elemen- tary courses one frequently gets the impression that such equations can usually be "solved," i. e., that explicit formulas for the solutions (in terms of powers, exponentials, trigonometric functions, and the like) can usually be found. Nothing could be further from the truth.
LC Classification Number
QA299.6-433
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Seller feedback (2,591)
- s***u (426)- Feedback left by buyer.Past 6 monthsVerified purchaseFast shipping, packaging, description, and value were all there. Great seller.
- 4***4 (1144)- Feedback left by buyer.Past 6 monthsVerified purchaseGreat Seller, very fast shipping, accurate description, great packaging, great communications, great experience A+++Cold Warrior: James Jesus Angleton - Cia's Master Spy Hunter 1st Printing (#204979558076)
- e***_ (518)- Feedback left by buyer.Past monthVerified purchaseA Superb Seller with Outstanding Customer Service. My Amazing book in Brand New Condition arrived very quickly and exceptionally well packaged and all at Terrific price from this Fantastic Seller. I’m very grateful to have it in my collection because it is exactly what I need for future modeling projects. Many Thanks