# Boas, Mathematical Methods in the Physical Sciences (3rd Edition), Summary & Solution

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# Boas, Mathematical Methods in the Physical Sciences (3rd Edition), Summary & Solution

# Boas, Mathematical Methods in the Physical Sciences, 3rd Edition

## Chapter 1. Infinite Series, Power Series

### Section 1. The Geometric Series

#### Problem Solutions

### Section 2. Definitions and Notations

#### Problem Solutions

### Section 3. Applications of Series

### Section 4. Convergent and Divergent Series

#### Problem Solutions

### Section 5. Testing Series for Convergence; The Preliminary Test

#### Problem Solutions

### Section 6. Convergence Tests for Series of Positive Terms; Absolute Convergence

#### Problem Solutions

### Section 7. Alternating Series

#### Problem Solutions

### Section 8. Conditionally Convergent Series

### Section 9. Useful Facts about Series

#### Problem Solutions

### Section 10. Power Series; Interval of Convergence

#### Problem Solutions

### Section 11. Theorems About Power Series

### Section 12. Expanding Functions in Power Series

#### Problem Solutions

### Section 13. Techniques for Obtaining Power Series Expansions

### Section 14. Accuracy of Series Approximations

### Section 15. Some Uses of Series

### Section 16. Miscellaneous Problems

## Chapter 2. Complex Numbers

### Section 1. Introduction

### Section 2. Real and Imaginary Parts of a Complex Number

### Section 3. The Complex Plane

### Section 4. Terminology and Notation

### Section 5. Complex Algebra

### Section 6. Complex Infinite Series

### Section 7. Complex Power Series; Disk of Convergence

### Section 8. Elementary Functions of Complex Numbers

### Section 9. Euler’s Formula

### Section 10. Powers and Roots of Complex Numbers

### Section 11. The Exponential and Trigonometric Functions

### Section 12. Hyperbolic Functions

### Section 13. Logarithms

### Section 14. Complex Roots and Powers

### Section 15. Inverse Trigonometric and Hyperbolic Functions

### Section 16. Some Applications

### Section 17. Miscellaneous Problems

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