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## Elementary Linear Algebra (Hardback)"The text is designed to introduce some of the basic concepts and techniques of linear algebra and to make them accessible to freshmen and sophomores, many of whom are not mathematics majors." — Paul C. Shields, Author, 1967 ## $3.29 |

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Please contact us if you've got questions about this product.## Condition

**ACCEPTABLE:** The book’s cover, spine, binding, and pages are in good physical condition; however, there is writing in pencil and yellow highlighting on its pages, but the text remains readable and unobstructed. The majority of the pencil notations are on the title page and the page following. The pages are beginning to tan, showing the book’s age (1968), but, overall, this book is in remarkably good, usable condition.

## Description

From the Preface – “The text is designed to introduce some of the basic concepts and techniques of linear algebra and to make them accessible to freshmen and sophomores, many of whom are not mathematics majors. With this audience in mind, I have not stressed sophisticated proof technique, which can be left for later courses for mathematics majors. Instead, the emphasis is on interpretation and the development of computational tools.” — Paul C. Shields

The book is well written but does require a basic knowledge of higher mathematical functions. A knowledge of integrals and derivatives is required for later chapters in the book. Chapters titles are used to define what a group of sections are addressing.

Chapters and their sections include:

**1. Matrices and Vectors**

*The Elimination Method**Nonhomogeneous Systems**Existence and Uniqueness Theorems**Vectors and Vector Spaces**Matrix Equations**The Theory of Matrix Equations**Independence**Bases and Coordinates**Dimension**The Dot Product**Orthogonal and Orthonormal Sets*

**2. Transformations and Matrices**

*Linear Transformations**The Matrix of Linear Transformations**Sums and Scalar Multiples**Transformation and Matrix Products**Rules and Special Products**The Inverse**The Inverse (continued)**Conditions for Invertibility**Determinants*

**3. Representations of Linear Transformations**

*The Matrix of Linear Transformations with Respect to a Basis**Calculations with Similar Matrices**Characteristic Vectors**Matrices Similar to Diagonal Matrices**Symmetric Matrices**Two Applications of the Spectral Theorem*

**4. Linear Differential Operators**

*First-order Linear Operators**Second-order Linear Operators**The Translation Principle**Higher-order Linear Operators**The Method of Undetermined Coefficients**Applications*

**Appendix 1** *Elementary Analytic Geometry*

**Appendix 2** *Dimension Theory*

**Answers to Exercises**

**Bibliography**

**List of Theorems**

**Index**

## Details

- SKU:
- 302
- Subject:
- Linear Algebra
- Author:
- Shields, Paul C.
- Publisher:
- Worth Publishing, Inc.
- Publish Date:
- 1968; Second Printing, August 1968
- Format:
- Hardback
- Weight (pounds):
- 1.55
- Dimensions (W”xL”xH”):
- 6.9″x9.25″x0.95″
- ISBN-13:
- N/A
- ISBN-10:
- LCCN 67031678
- Grade Level:
- College

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