Differential Equations: A Modeling Approach: Quantitative Applications in the Social Sciences, cartea 150
Autor Courtney M. Brownen Limba Engleză Electronic book text – 30 iul 2007
- The text is accessibly written, so that students with minimal mathematical training can understand all of the basic concepts and techniques presented.
- The author uses social sciences examples to illustrate the relevance of differential equation modeling to readers.
- Readers can use graphical methods to produce penetrating analysis of differential equation systems.
- Linear and nonlinear model specifications are explained from a social science perspective. Most interesting differential equation models are nonlinear, and readers need to know how to specify and work with such models in the social sciences.
| Toate formatele și edițiile | Preț | Express |
|---|---|---|
| Paperback (1) | 336.70 lei 6-8 săpt. | |
| SAGE Publications – 9 iul 2007 | 336.70 lei 6-8 săpt. | |
| Electronic book text (1) | 114.33 lei Precomandă | |
| SAGE Publications – 30 iul 2007 | 114.33 lei Precomandă |
Din seria Quantitative Applications in the Social Sciences
-
Preț: 332.42 lei -
Preț: 310.03 lei -
Preț: 332.31 lei -
Preț: 332.63 lei -
Preț: 297.08 lei -
Preț: 316.94 lei -
Preț: 318.05 lei -
Preț: 334.94 lei -
Preț: 340.70 lei -
Preț: 336.13 lei -
Preț: 317.47 lei -
Preț: 319.35 lei -
Preț: 335.83 lei -
Preț: 335.24 lei -
Preț: 335.53 lei -
Preț: 334.94 lei -
Preț: 335.53 lei -
Preț: 335.24 lei -
Preț: 336.72 lei -
Preț: 336.93 lei -
Preț: 335.90 lei -
Preț: 337.00 lei -
Preț: 335.24 lei -
Preț: 308.86 lei -
Preț: 308.34 lei -
Preț: 334.94 lei -
Preț: 335.76 lei -
Preț: 334.47 lei -
Preț: 336.12 lei -
Preț: 335.55 lei -
Preț: 336.70 lei -
Preț: 335.02 lei -
Preț: 327.56 lei -
Preț: 337.23 lei -
Preț: 334.67 lei -
Preț: 334.67 lei -
Preț: 335.76 lei -
Preț: 335.40 lei -
Preț: 335.02 lei -
Preț: 334.47 lei -
Preț: 336.33 lei -
Preț: 336.50 lei -
Preț: 334.82 lei -
Preț: 335.02 lei -
Preț: 336.50 lei -
Preț: 336.50 lei -
Preț: 335.19 lei -
Preț: 335.02 lei
Preț: 114.33 lei
Precomandă
Puncte Express: 171
Preț estimativ în valută:
18.56€ • 21.76$ • 16.30£
18.56€ • 21.76$ • 16.30£
Nepublicat încă
Doresc să fiu notificat când acest titlu va fi disponibil:
Se trimite...
Preluare comenzi: 021 569.72.76
Specificații
ISBN-13: 9781452212364
ISBN-10: 1452212368
Pagini: 120
Dimensiuni: 140 x 216 mm
Ediția:1
Editura: SAGE Publications
Colecția Sage Publications, Inc
Seria Quantitative Applications in the Social Sciences
Locul publicării:Thousand Oaks, United States
ISBN-10: 1452212368
Pagini: 120
Dimensiuni: 140 x 216 mm
Ediția:1
Editura: SAGE Publications
Colecția Sage Publications, Inc
Seria Quantitative Applications in the Social Sciences
Locul publicării:Thousand Oaks, United States
Recenzii
"A
reader
with
a
strong
background
in
mathematics,
at
least
two
semesters
of
calculus,
and
interest
in
the
social
sciences
will
find
the
book
helpful
in
learning
how
this
area
of
mathematics
can
be
used
in
different
applications."
—S.L. Sullivan,Catawba College
—S.L. Sullivan,Catawba College
Cuprins
Series
Editor's
Introduction
Acknowledgments
1. Dynamic Models and Social Change
Theoretical Reasons for Using Differential Equations in the Social Sciences
An Example
The Use of Differential Equations in the Natural and Physical Sciences
Deterministic Versus Probabilistic Differential Equation Models
What Is a Differential Equation?
What This Book Is and Is Not
2. First-Order Differential Equations
Analytical Solutions to Linear First-Order Differential Equations
Solving First-Order Differential Equations Using Separation of Variables
An Example From Sociology
Numerical Methods Used to Solve Differential Equations
Summary
Chapter 2 Appendix
3. Systems of First-Order Differential Equations
The Predator-Prey Model
The Phase Diagram
Vector Field and Direction Field Diagrams
The Equilibrium Marsh and Flow Diagrams
Summary
Chapter 3 Appendix
4. Some Classic Social Science Examples of First-Order Systems
Richardson's Arms Race Model
Lanchester's Combat Model
Rapoport's Production and Exchange Model
Summary
5. Transforming Second-Order and Nonautonomous Differential Equations Into Systems of First-Order Differential Equations
Second- and Higher-Order Differential Equations
Nonautonomous Differential Equations
Summary
6. Stability Analyses of Linear Differential Equation Systems
A Motivating Example of How Stability Can Dramatically Change in One System
Scalar Methods
Matrix Methods
Equilibrium Categories
Summarizing the Stability Criteria
7. Stability Analyses of Nonlinear Differential Equation Systems
The Jacobian
Summary
8. Frontiers of Exploration
References
Index
About the Author
Acknowledgments
1. Dynamic Models and Social Change
Theoretical Reasons for Using Differential Equations in the Social Sciences
An Example
The Use of Differential Equations in the Natural and Physical Sciences
Deterministic Versus Probabilistic Differential Equation Models
What Is a Differential Equation?
What This Book Is and Is Not
2. First-Order Differential Equations
Analytical Solutions to Linear First-Order Differential Equations
Solving First-Order Differential Equations Using Separation of Variables
An Example From Sociology
Numerical Methods Used to Solve Differential Equations
Summary
Chapter 2 Appendix
3. Systems of First-Order Differential Equations
The Predator-Prey Model
The Phase Diagram
Vector Field and Direction Field Diagrams
The Equilibrium Marsh and Flow Diagrams
Summary
Chapter 3 Appendix
4. Some Classic Social Science Examples of First-Order Systems
Richardson's Arms Race Model
Lanchester's Combat Model
Rapoport's Production and Exchange Model
Summary
5. Transforming Second-Order and Nonautonomous Differential Equations Into Systems of First-Order Differential Equations
Second- and Higher-Order Differential Equations
Nonautonomous Differential Equations
Summary
6. Stability Analyses of Linear Differential Equation Systems
A Motivating Example of How Stability Can Dramatically Change in One System
Scalar Methods
Matrix Methods
Equilibrium Categories
Summarizing the Stability Criteria
7. Stability Analyses of Nonlinear Differential Equation Systems
The Jacobian
Summary
8. Frontiers of Exploration
References
Index
About the Author
Notă biografică
Courtney Brown is an Associate Professor in the Department of Political Science at Emory University. Dr. Brown has taught differential equation modeling to graduate and undergraduate students for over 20 years. His teaching and research interests also include other quantitative methods, political musicology, science fiction and politics, electoral behavior, political parties, democratic development, and politics and the environment. He has authored five books that deal with differential equation models in the social sciences, including three titles for the Quantitative Applications in the Social Sciences series.