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Differential Equations and Boundary Value Problems: Computing and Modeling

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Notas del vendedor
“. In very good condition.”
MPN
black & white tables, figures
Brand
Pearson
Style
ABIS_BOOK
language_tag
en_US
source
unknown
marketplace_id
ATVPDKIKX0DER
binding
hardcover
unit
grams
item_weight
1406.0
pages
792
subject_keyword
'boundary', 'differential', 'problem', 'value', 'equation'
unspsc_code
55101500
subject_code
PBKA
target_audience
Tertiary education
item_type_keyword
book
number_of_items
1
part_number
black & white tables, figures
edition
5
manufacturer
Pearson
genre
MATHEMATICS
publication_date
2014-09-04
supplier_declared_dg_hz_regulation
not_applicable
gpsr_safety_attestation
true
textbook_type
core
edition_number
5
item_name
Differential Equations and Boundary Value Problems: Comput..
product_site_launch_date
2012-03-07
ISBN
9780321796981
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Product Identifiers

Publisher
Pearson Education
ISBN-10
0321796985
ISBN-13
9780321796981
eBay Product ID (ePID)
202483537

Product Key Features

Number of Pages
792 Pages
Language
English
Publication Name
Differential Equations and Boundary Value Problems : Computing and Modeling
Subject
Differential Equations / General, Calculus
Publication Year
2014
Type
Textbook
Author
David Calvis, David Penney, C. Edwards
Subject Area
Mathematics
Format
Hardcover

Dimensions

Item Height
1.2 in
Item Weight
53.4 Oz
Item Length
10 in
Item Width
8.1 in

Additional Product Features

Edition Number
5
Intended Audience
College Audience
Dewey Edition
21
Dewey Decimal
515/.35
Table Of Content
1. First-Order Differential Equations 1.1 Differential Equations and Mathematical Models 1.2 Integrals as General and Particular Solutions 1.3 Slope Fields and Solution Curves 1.4 Separable Equations and Applications 1.5 Linear First-Order Equations 1.6 Substitution Methods and Exact Equations 2. Mathematical Models and Numerical Methods 2.1 Population Models 2.2 Equilibrium Solutions and Stability 2.3 Acceleration--Velocity Models 2.4 Numerical Approximation: Euler''s Method 2.5 A Closer Look at the Euler Method 2.6 The Runge--Kutta Method 3. Linear Equations of Higher Order 3.1 Introduction: Second-Order Linear Equations 3.2 General Solutions of Linear Equations 3.3 Homogeneous Equations with Constant Coefficients 3.4 Mechanical Vibrations 3.5 Nonhomogeneous Equations and Undetermined Coefficients 3.6 Forced Oscillations and Resonance 3.7 Electrical Circuits 3.8 Endpoint Problems and Eigenvalues 4. Introduction to Systems of Differential Equations 4.1 First-Order Systems and Applications 4.2 The Method of Elimination 4.3 Numerical Methods for Systems 5. Linear Systems of Differential Equations 5.1 Matrices and Linear Systems 5.2 The Eigenvalue Method for Homogeneous Systems 5.3 A Gallery of Solution Curves of Linear Systems 5.4 Second-Order Systems and Mechanical Applications 5.5 Multiple Eigenvalue Solutions 5.6 Matrix Exponentials and Linear Systems 5.7 Nonhomogeneous Linear Systems 6. Nonlinear Systems and Phenomena 6.1 Stability and the Phase Plane 6.2 Linear and Almost Linear Systems 6.3 Ecological Models: Predators and Competitors 6.4 Nonlinear Mechanical Systems 6.5 Chaos in Dynamical Systems 7. Laplace Transform Methods 7.1 Laplace Transforms and Inverse Transforms 7.2 Transformation of Initial Value Problems 7.3 Translation and Partial Fractions 7.4 Derivatives, Integrals, and Products of Transforms 7.5 Periodic and Piecewise Continuous Input Functions 7.6 Impulses and Delta Functions 8. Power Series Methods 8.1 Introduction and Review of PowerSeries 8.2 Series Solutions Near Ordinary Points 8.3 Regular Singular Points 8.4 Method of Frobenius: The Exceptional Cases 8.5 Bessel''s Equation 8.6 Applications of Bessel Functions 9. Fourier Series Methods and Partial Differential Equations 9.1 Periodic Functions and Trigonometric Series 9.2 General Fourier Series and Convergence 9.3 Fourier Sine and Cosine Series 9.4 Applications of Fourier Series 9.5 Heat Conduction and Separation of Variables 9.6 Vibrating Strings and the One-Dimensional Wave Equation 9.7 Steady-State Temperature and Laplace''s Equation 10. Eigenvalue Methods and Boundary Value Problems 10.1 Sturm--Liouville Problems and Eigenfunction Expansions 10.2 Applications of Eigenfunction Series 10.3 Steady Periodic Solutions and Natural Frequencies 10.4 Cylindrical Coordinate Problems 10.5 Higher-Dimensional Phenomena
Synopsis
This practical book reflects the new technological emphasis that permeates differential equations, including the wide availability of scientific computing environments like Maple, Mathematica, and MATLAB; it does not concentrate on traditional manual methods but rather on new computer-based methods that lead to a wider range of more realistic applications. KEY TOPICS: The book starts and ends with discussions of mathematical modeling of real-world phenomena, evident in figures, examples, problems, and applications throughout the book. MARKET: For mathematicians and those in the field of computer science and engineering., For introductory courses in Differential Equations. This best-selling text by these well-known authors blends the traditional algebra problem solving skills with the conceptual development and geometric visualization of a modern differential equations course that is essential to science and engineering students. It reflects the new qualitative approach that is altering the learning of elementary differential equations, including the wide availability of scientific computing environments like Maple, Mathematica, and MATLAB. Its focus balances the traditional manual methods with the new computer-based methods that illuminate qualitative phenomena and make accessible a wider range of more realistic applications. Seldom-used topics have been trimmed and new topics added: it starts and ends with discussions of mathematical modeling of real-world phenomena, evident in figures, examples, problems, and applications throughout the text.
LC Classification Number
QA371.E28 2015

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