# (eBook PDF) Differential Equations and Linear Algebra 4th Edition – Digital Ebook – Instant Delivery Download

### Product details:

**ISBN-10 : 013449718X****ISBN-13 : 978-0134497181****Author:**

In a contemporary introduction to differential equations and linear algebra, acclaimed authors Edwards and Penney combine core topics in elementary differential equations with concepts and methods of elementary linear algebra. Renowned for its real-world applications and blend of algebraic and geometric approaches, Differential Equations and Linear Algebra introduces you to mathematical modeling of real-world phenomena and offers the best problems sets in any differential equations and linear algebra textbook. The 4th Edition includes fresh new computational and qualitative flavor evident throughout in figures, examples, problems, and applications. Additionally, an Expanded Applications website containing expanded applications and programming tools is now available.

### Table of contents:

Preface ix 1 First-Order Differential Equations

1.1 Differential Equations Everywhere

1.2 Basic Ideas and Terminology

1.3 The Geometry of First-Order Differential Equations

1.4 Separable Differential Equations

1.5 Some Simple Population Models

1.6 First-Order Linear Differential Equations

1.7 Modeling Problems Using First-Order Linear Differential Equations

1.8 Change of Variables

1.9 Exact Differential Equations

1.10 Numerical Solution to First-Order Differential Equations

1.11 Some Higher-Order Differential Equations

1.12 Chapter Review 106 2 Matrices and Systems of Linear Equations

2.1 Matrices: Definitions and Notation

2.2 Matrix Algebra

2.3 Terminology for Systems of Linear Equations

2.4 Row-Echelon Matrices and Elementary Row Operations

2.5 Gaussian Elimination

2.6 The Inverse of a Square Matrix

2.7 Elementary Matrices and the LU Factorization

2.8 The Invertible Matrix Theorem I

2.9 Chapter Review

3 Determinants

3.1 The Definition of the Determinant

3.2 Properties of Determinants

3.3 Cofactor Expansions

3.4 Summary of Determinants

3.5 Chapter Review

4 Vector Spaces

4.1 Vectors in Rn

4.2 Definition of a Vector Space

4.3 Subspaces

4.4 Spanning Sets

4.5 Linear Dependence and Linear Independence

4.6 Bases and Dimension

4.7 Change of Basis

4.8 Row Space and Column Space

4.9 The Rank-Nullity Theorem