## Description

### Solution Manual Advanced Calculus A Transition to Analysis Thomas P Dence Joseph B Dence

*Advanced Calculus* explores the theory of calculus and highlights the connections between calculus and real analysis – providing a mathematically sophisticated introduction to functional analytical concepts.

The text is interesting to read and includes many illustrative worked-out examples and instructive exercises, and precise historical notes to aid in further exploration of calculus. It covers exponential function, and the development of trigonometric functions from the integral.

The text is designed for a one-semester advanced calculus course for advanced undergraduates or graduate students.

- Appropriate rigor for a one-semester advanced calculus course
- Presents modern materials and nontraditional ways of stating and proving some results
- Includes precise historical notes throughout the book outstanding feature is the collection of exercises in each chapter
- Provides coverage of exponential function, and the development of trigonometric functions from the integral

### Table of contents

Chapter 1. Sets, Numbers, and Functions

Chapter 2. Sequences

Chapter 3. Infinite Series

Chapter 4. Continuity

Chapter 5. Differentiation

Chapter 6. Integration

Chapter 7. Commutation of Limit Operations

### Bibliographic information

Title Advanced Calculus: A Transition to Analysis, Instructor Solutions Manual (e-only)

Authors Joseph B. Dence, Thomas P. Dence

Publisher Academic Press, 2010

ISBN 0123846951, 9780123846952

Length 204 pages

Subjects Mathematics › Calculus

Mathematics / Calculus

Mathematics / General

Mathematics / Mathematical Analysis

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