The Remarkable Sine Functions
eBook - PDF

The Remarkable Sine Functions

  1. 110 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

The Remarkable Sine Functions

About this book

The Remarkable Sine Functions focuses on the trigonometric functions of sine and cosine. The publication first offers information on the geometric definition of circular, hyperbolic, and lemniscate functions, generalized sines, and integration in the complex plane. Discussions focus on the properties and characteristics of circular, lemniscate, and hyperbolic functions, uniform approach to generalized sines, and the process of integration in complex variables. The text then elaborates on the use of Euler's method in deriving the addition theorems and study of complex values, including the employment of the relationship between the sine and cosine in rewriting addition theorems and formulas that can be used in the determination of real values. The manuscript ponders on zeros and poles, simple and double periodicity, and the concept of an elliptic function. Concerns include circular and hyperbolic functions, Jacobian functions, and the functions of sine and cosine. The book is a valuable reference for mathematicians and researchers interested in the functions of sine and cosine.

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Yes, you can access The Remarkable Sine Functions by A. I. Markushevich in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematics General. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Elsevier
Year
2014
Print ISBN
9781483233062
eBook ISBN
9781483275215
Topic
Mathematics
Subtopic
Mathematics General
Index
Mathematics

Table of contents

  1. Front Cover
  2. The Remarkable Sine Functions
  3. Copyright Page
  4. Table of Contents
  5. ANNOTATION
  6. PREFACE
  7. CHAPTER 1. Geometric Definition of Circular, Hyperbolic, and Lemniscate Functions
  8. CHAPTER 2. Generalized Sines
  9. CHAPTER 3. Integration in the Complex Plane
  10. CHAPTER 4. Euler's Method of Deriving the Addition Theorems
  11. CHAPTER 5. Further Study of Complex Values of the Argument
  12. CHAPTER 6. Zeros and Poles. Simple and Double Periodicity. The Concept of an Elliptic Function
  13. INDEX