Schaum's outline of differential equations:
Gespeichert in:
1. Verfasser: | |
---|---|
Format: | Buch |
Sprache: | English |
Veröffentlicht: |
New York
McGraw-Hill
2006
|
Ausgabe: | 3. ed. |
Schriftenreihe: | Schaum's outline series
Schaum's outlines |
Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | Rev. ed. of: Schaum's outline of theory and problems of differential equations. c1994. -- Includes index. |
Beschreibung: | XIV, 385 S. Ill. |
ISBN: | 0071456872 |
Internformat
MARC
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245 | 1 | 0 | |a Schaum's outline of differential equations |c Richard Bronson, Gabriel B. Costa |
246 | 1 | 3 | |a Differential equations |
250 | |a 3. ed. | ||
264 | 1 | |a New York |b McGraw-Hill |c 2006 | |
300 | |a XIV, 385 S. |b Ill. | ||
336 | |b txt |2 rdacontent | ||
337 | |b n |2 rdamedia | ||
338 | |b nc |2 rdacarrier | ||
490 | 0 | |a Schaum's outline series | |
490 | 0 | |a Schaum's outlines | |
500 | |a Rev. ed. of: Schaum's outline of theory and problems of differential equations. c1994. -- Includes index. | ||
650 | 4 | |a Differential equations |v Outlines, syllabi, etc | |
650 | 4 | |a Differential equations |v Problems, exercises, etc | |
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Datensatz im Suchindex
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---|---|
adam_text | CONTENTS
Chantar
Differential Equations
Notation
Solutions
Initial-Value and BoundaryrValue Problems
Chapter
Qualitative Methods
Mathematical Models
The Modeling Cycle
Qualitative Methods
Chapter
Differential Equations
Standard Form and Differential Form
Linear Equations
Bernoulli Equations
Homogeneous Equations
Separable Equations
Exact Equations
Chapter
General Solution
Solutions to the Initial-Value Problem
Reduction of Homogeneous Equations
Chapter
Defining Properties
Method of Solution
Integrating Factors
í
Method of Solution
Reduction of Bernoulli Equations
ix
CONTENTS
Applications of First-Order Differential
Equations
Growth and Decay Problems
Temperature Problems
Falling Body Problems
Dilution Problems
Electrical Circuits
Orthogonal Trajectories
Linear Differential Equations: Theory of
Solutions
Linear Differential Equations
Linearly Independent Solutions
TheWronskian
Nonhomogeneous Equations
Second-Order Linear Homogeneous Differential
Equations with Constant Coefficients
Introductory Remark
The Characteristic Equation
The General Solution
nth-Order Linear Homogeneous Differential
Equations with Constant Coefficients
The Characteristic Equation
The General Solution
The Method of Undetermined Coefficients
Simple Form of the Method
Generalizations
Modifications
Limitations of the Method
Chapter
The Method
Scope of the Method
Chapter
Differential Equations
CONTENTS xi
Chapter
Differential Equations
Spring Problems
Electrical Circuit Problems
Buoyancy Problems
Classifying Solutions
Chapter
Matrices and Vectors
Matrix Addition
Scalar and Matrix Multiplication
Powers of a Square Matrix
Differentiation and Integration of Matrices
The Characteristic Equation
Chapter
Definition
Computation of eAt
Chapter
to a System of First-Order Equations
An Example
Reduction of an nth Order Equation
Reduction of a System
Chapter
First-Order Differential Equations
Qualitative Methods
Direction Fields
Euler s Method
Stability
Chapter
First-Order Differential Equations
General Remarks
Modified Euler s Method
Runge-Kutta Method
Adams-Bashford-Moulton Method
Milne s Method
Starting Values
Order of a Numerical Method
xii CONTENTS
Numerical Methods for Solving Second-Order
Differential Equations Via Systems
Second-Order Differential Equations
Euler
Runge-Kutta Method
Adams-Bashford-Moulton Method
The Laplace Transform
Definition
Properties of Laplace Transforms
Functions of Other Independent Variables
Inverse Laplace Transforms
Definition
Manipulating Denominators
Manipulating Numerators
Convolutions and the Unit Step Function
Convolutions
Unit Step Function
Translations
Solutions of Linear Differential Equations with
Constant Coeffidents by Laplace Transforms
Laplace Transforms of Derivatives
Solutions of Differential Equations
Solutions of Linear Systems by Laplace
Transforms
The Method
Solutions of Linear Differential Equations
with Constant Coeffidents by Matrix Methods
Solution of the Initial-Value Problem
Solution with No Initial Conditions
Power Series Solutions of Linear Differential
Equations with Variable Coeffidents
Second-Order Equations
Analytic Functions and Ordinary Points
Solutions Around the Origin of Homogeneous Equations
CONTENTS xiii
Solutions Around the Origin of Nonhomogeneous Equations
Initial-Value Problems
Solutions Around Other Points
Seríes
Regular Singular Points
Method of Frobenius
General Solution
Some Classical Different Equations
Classical Differential Equations
Polynomial Solutions and Associated Concepts
Gamma and Bessel Functions
Gamma Function
Bessel Functions
Algebraic Operations on Infinite Series
An Introduction to Partial
Differential Equations
Introductory Concepts
Solutions and Solution Techniques
Second-Order Boundary-Value Problems
Standard Form
Solutions
Eigenvalue Problems
Sturm-Liou
Properties of Sturm-Liou
Eigenfunction Expansions
Piecewise Smooth Functions
Fourier Sine Series
Fourier Cosine Series
An Introduction to Difference Equations
Introduction
Classifications
Solutions
Laplace Transforms
|
adam_txt |
CONTENTS
Chantar
Differential Equations
Notation
Solutions
Initial-Value and BoundaryrValue Problems
Chapter
Qualitative Methods
Mathematical Models
The "Modeling Cycle"
Qualitative Methods
Chapter
Differential Equations
Standard Form and Differential Form
Linear Equations
Bernoulli Equations
Homogeneous Equations
Separable Equations
Exact Equations
Chapter
General Solution
Solutions to the Initial-Value Problem
Reduction of Homogeneous Equations
Chapter
Defining Properties
Method of Solution
Integrating Factors
í
Method of Solution
Reduction of Bernoulli Equations
ix
CONTENTS
Applications of First-Order Differential
Equations
Growth and Decay Problems
Temperature Problems
Falling Body Problems
Dilution Problems
Electrical Circuits
Orthogonal Trajectories
Linear Differential Equations: Theory of
Solutions
Linear Differential Equations
Linearly Independent Solutions
TheWronskian
Nonhomogeneous Equations
Second-Order Linear Homogeneous Differential
Equations with Constant Coefficients
Introductory Remark
The Characteristic Equation
The General Solution
nth-Order Linear Homogeneous Differential
Equations with Constant Coefficients
The Characteristic Equation
The General Solution
The Method of Undetermined Coefficients
Simple Form of the Method
Generalizations
Modifications
Limitations of the Method
Chapter
The Method
Scope of the Method
Chapter
Differential Equations
CONTENTS xi
Chapter
Differential Equations
Spring Problems
Electrical Circuit Problems
Buoyancy Problems
Classifying Solutions
Chapter
Matrices and Vectors
Matrix Addition
Scalar and Matrix Multiplication
Powers of a Square Matrix
Differentiation and Integration of Matrices
The Characteristic Equation
Chapter
Definition
Computation of eAt
Chapter
to a System of First-Order Equations
An Example
Reduction of an nth Order Equation
Reduction of a System
Chapter
First-Order Differential Equations
Qualitative Methods
Direction Fields
Euler's Method
Stability
Chapter
First-Order Differential Equations
General Remarks
Modified Euler's Method
Runge-Kutta Method
Adams-Bashford-Moulton Method
Milne's Method
Starting Values
Order of a Numerical Method
xii CONTENTS
Numerical Methods for Solving Second-Order
Differential Equations Via Systems
Second-Order Differential Equations
Euler
Runge-Kutta Method
Adams-Bashford-Moulton Method
The Laplace Transform
Definition
Properties of Laplace Transforms
Functions of Other Independent Variables
Inverse Laplace Transforms
Definition
Manipulating Denominators
Manipulating Numerators
Convolutions and the Unit Step Function
Convolutions
Unit Step Function
Translations
Solutions of Linear Differential Equations with
Constant Coeffidents by Laplace Transforms
Laplace Transforms of Derivatives
Solutions of Differential Equations
Solutions of Linear Systems by Laplace
Transforms
The Method
Solutions of Linear Differential Equations
with Constant Coeffidents by Matrix Methods
Solution of the Initial-Value Problem
Solution with No Initial Conditions
Power Series Solutions of Linear Differential
Equations with Variable Coeffidents
Second-Order Equations
Analytic Functions and Ordinary Points
Solutions Around the Origin of Homogeneous Equations
CONTENTS xiii
Solutions Around the Origin of Nonhomogeneous Equations
Initial-Value Problems
Solutions Around Other Points
Seríes
Regular Singular Points
Method of Frobenius
General Solution
Some Classical Different Equations
Classical Differential Equations
Polynomial Solutions and Associated Concepts
Gamma and Bessel Functions
Gamma Function
Bessel Functions
Algebraic Operations on Infinite Series
An Introduction to Partial
Differential Equations
Introductory Concepts
Solutions and Solution Techniques
Second-Order Boundary-Value Problems
Standard Form
Solutions
Eigenvalue Problems
Sturm-Liou
Properties of Sturm-Liou
Eigenfunction Expansions
Piecewise Smooth Functions
Fourier Sine Series
Fourier Cosine Series
An Introduction to Difference Equations
Introduction
Classifications
Solutions
Laplace Transforms |
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dewey-tens | 510 - Mathematics |
discipline | Mathematik |
discipline_str_mv | Mathematik |
edition | 3. ed. |
format | Book |
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illustrated | Illustrated |
index_date | 2024-07-02T17:18:12Z |
indexdate | 2024-07-09T20:56:47Z |
institution | BVB |
isbn | 0071456872 |
language | English |
lccn | 2006284445 |
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owner_facet | DE-739 DE-898 DE-BY-UBR |
physical | XIV, 385 S. Ill. |
publishDate | 2006 |
publishDateSearch | 2006 |
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publisher | McGraw-Hill |
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series2 | Schaum's outline series Schaum's outlines |
spelling | Bronson, Richard Verfasser aut Schaum's outline of differential equations Richard Bronson, Gabriel B. Costa Differential equations 3. ed. New York McGraw-Hill 2006 XIV, 385 S. Ill. txt rdacontent n rdamedia nc rdacarrier Schaum's outline series Schaum's outlines Rev. ed. of: Schaum's outline of theory and problems of differential equations. c1994. -- Includes index. Differential equations Outlines, syllabi, etc Differential equations Problems, exercises, etc Differentialgleichung (DE-588)4012249-9 gnd rswk-swf Differentialgleichung (DE-588)4012249-9 s 1\p DE-604 Costa, Gabriel B. Sonstige oth Digitalisierung UB Passau application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015609071&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Bronson, Richard Schaum's outline of differential equations Differential equations Outlines, syllabi, etc Differential equations Problems, exercises, etc Differentialgleichung (DE-588)4012249-9 gnd |
subject_GND | (DE-588)4012249-9 |
title | Schaum's outline of differential equations |
title_alt | Differential equations |
title_auth | Schaum's outline of differential equations |
title_exact_search | Schaum's outline of differential equations |
title_exact_search_txtP | Schaum's outline of differential equations |
title_full | Schaum's outline of differential equations Richard Bronson, Gabriel B. Costa |
title_fullStr | Schaum's outline of differential equations Richard Bronson, Gabriel B. Costa |
title_full_unstemmed | Schaum's outline of differential equations Richard Bronson, Gabriel B. Costa |
title_short | Schaum's outline of differential equations |
title_sort | schaum s outline of differential equations |
topic | Differential equations Outlines, syllabi, etc Differential equations Problems, exercises, etc Differentialgleichung (DE-588)4012249-9 gnd |
topic_facet | Differential equations Outlines, syllabi, etc Differential equations Problems, exercises, etc Differentialgleichung |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015609071&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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