23. Hyperbolic Functions and Their Properties

  1. Ulrich L. Rohde1,2,
  2. G. C. Jain3,
  3. Ajay K. Poddar2 and
  4. A. K. Ghosh4

Published Online: 28 DEC 2011

DOI: 10.1002/9781118130155.ch23

Introduction to Differential Calculus: Systematic Studies with Engineering Applications for Beginners

Introduction to Differential Calculus: Systematic Studies with Engineering Applications for Beginners

How to Cite

Rohde, U. L., Jain, G. C., Poddar, A. K. and Ghosh, A. K. (2011) Hyperbolic Functions and Their Properties, in Introduction to Differential Calculus: Systematic Studies with Engineering Applications for Beginners, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9781118130155.ch23

Author Information

  1. 1

    BTU Cottbus, Germany

  2. 2

    Synergy Microwave Corporation, Paterson, NJ, USA

  3. 3

    Defense Research & Development Organization, Maharashtra, India

  4. 4

    Department of Aerospace Engineering, Indian Institute of Technology – Kanpur, Kanpur, India

Publication History

  1. Published Online: 28 DEC 2011
  2. Published Print: 9 DEC 2011

ISBN Information

Print ISBN: 9781118117750

Online ISBN: 9781118130155

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Keywords:

  • hyperbolic functions, and trigonometric (circular) functions;
  • hyperbolic and circular functions;
  • inverse hyperbolic functions, in terms of natural logarithm

Summary

This chapter contains sections titled:

  • Introduction

  • Relation Between Exponential and Trigonometric Functions

  • Similarities and Differences in the Behavior of Hyperbolic and Circular Functions

  • Derivatives of Hyperbolic Functions

  • Curves of Hyperbolic Functions

  • The Indefinite Integral Formulas for Hyperbolic Functions

  • Inverse Hyperbolic Functions

  • Justification for Calling sinh and cosh as Hyperbolic Functions Just as sine and cosine are Called Trigonometric Circular Functions