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Introduction to Linear Algebra and Differential Equations (Paperback or Softback
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Located in: Grand Rapids, Michigan, United States
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eBay item number:312875736927
Item specifics
- Condition
- EAN
- 9780486651910
- UPC
- 00800759651917
- ISBN
- 0486651916
- Binding
- TP
- Book Title
- Introduction to Linear Algebra and Differential Eq
- Publication Name
- Introduction to Linear Algebra and Differential Equations
- Item Length
- 8.4in
- Publisher
- Dover Publications, Incorporated
- Series
- Dover Books on Mathematics Ser.
- Publication Year
- 1986
- Type
- Textbook
- Format
- Trade Paperback
- Language
- English
- Item Height
- 0.8in
- Item Width
- 5.4in
- Item Weight
- 15.3 Oz
- Number of Pages
- 416 Pages
About this product
Product Information
Excellent introductory text for students with one year of calculus. Topics include complex numbers, determinants, orthonormal bases, symmetric and hermitian matrices, first order non-linear equations, linear differential equations, Laplace transforms, Bessel functions and boundary-value problems. Includes 48 black-and-white illustrations. Exercises with solutions. Index.
Product Identifiers
Publisher
Dover Publications, Incorporated
ISBN-10
0486651916
ISBN-13
9780486651910
eBay Product ID (ePID)
720410
Product Key Features
Publication Name
Introduction to Linear Algebra and Differential Equations
Format
Trade Paperback
Language
English
Series
Dover Books on Mathematics Ser.
Publication Year
1986
Type
Textbook
Number of Pages
416 Pages
Dimensions
Item Length
8.4in
Item Height
0.8in
Item Width
5.4in
Item Weight
15.3 Oz
Additional Product Features
Lc Classification Number
Qa184.D47 1986
Edition Description
Reprint,New Edition
Table of Content
Preface1. Complex Numbers 1.1 Introduction 1.2 The Algebra of Complex Numbers 1.3 The Geometry of Complex Numbers 1.4 Two-dimensional Vectors 1.5 Functions of a Complex Variable 1.6 Exponential Function 1.7 Power Series2. Linear Algebraic Equations 2.1 Introduction 2.2 Matrices 2.3 Elimination Method 2.4 Determinants 2.5 Inverse of a Matrix 2.6 Existence and Uniqueness Theorems3. Vector Spaces 3.1 Introduction 3.2 Three-dimensional Vectors 3.3 Axioms of a Vector Space 3.4 Dependence and Independence of Vectors 3.5 Basis and Dimension 3.6 Scalar Product 3.7 Orthonormal Bases 3.8 Infinite-dimensional Vector Spaces4. Linear Transformations 4.1 Introduction 4.2 Definitions and Examples 4.3 Matrix Representations 4.4 Changes of Bases 4.5 Characteristic Values and Characteristic Vectors 4.6 Symmetric and Hermitian Matrices 4.7 Jordan Forms5. First Order Differential Equations 5.1 Introduction 5.2 An Example 5.3 Basic Definitions 5.4 First Order Linear Equations 5.5 First Order Nonlinear Equations 5.6 Applications of First Order Equations 5.7 Numerical Methods 5.8 Existence and Uniqueness6. Linear Differential Equations 6.1 Introduction 6.2 General Theorems 6.3 Variation of Parameters 6.4 Equations with Constant Coefficients 6.5 Method of Undetermined Coefficients 6.6 Applications 6.7 Green's Functions7. Laplace Transforms 7.1 Introduction 7.2 Existence of the Transform 7.3 Transforms of Certain Functions 7.4 Inversion of the Transform 7.5 Solution of Differential Equations 7.6 Applications 7.7 Uniqueness of the Transform8. Power-Series Methods 8.1 Introduction 8.2 Solution near Ordinary Points 8.3 Solution near Regular Singular Points 8.4 Bessel Functions 8.5 Boundary-value Problems 8.6 Convergence Theorems9. Systems of Differential Equations 9.1 Introduction 9.2 First Order Systems 9.3 Linear First Order Systems 9.4 Linear First Order Systems with Constant Coefficients 9.5 Higher Order Linear Systems 9.6 Existence and Uniqueness Theorem Answers and Hints for Selected Exercises; Index
Target Audience
College Audience
Topic
Algebra / Linear, Differential Equations / General
Lccn
86-006311
Dewey Decimal
512/.5
Dewey Edition
19
Illustrated
Yes
Genre
Mathematics
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