Handbook of Mathematical Formulas

Hans-Jochen Bartsch

• Publisher: Academic Press
• Year: 2014
• Print ISBN:
  9780120800506
• eBook ISBN:
  9781483267425
• Topic: Mathematics
• Subtopic: Algebra
• Index: Mathematics

Handbook of Mathematical Formulas presents a compilation of formulas to provide the necessary educational aid. This book covers the whole field from the basic rules of arithmetic, via analytic geometry and infinitesimal calculus through to Fourier's series and the basics of probability calculus. Organized into 12 chapters, this book begins with an overview of the fundamental notions of set theory. This text then explains linear expression wherein the variables are only multiplied by constants and added to constants or expressions of the same kind. Other chapters consider a variety of topics, including matrices, statistics, linear optimization, Boolean algebra, and Laplace's transforms. This book discusses as well the various systems of coordinates in analytical geometry. The final chapter deals with algebra of logic and its development into a two-value Boolean algebra as switching algebra. This book is intended to be suitable for students of technical schools, colleges, and universities.

Table of contents

• Front Cover
• Handbook of Mathematical Formulas
• Copyright Page
• Table of Contents
• PREFACE
• Chapter 0. Mathematical Signs and Symbols
• Chapter 1. Arithmetic
• Chapter 2. Equations, functions, vectors
• Chapter 3. Geometry
• Chapter 4. Analytical geometry
• Chapter 5. Differential calculus
• Chapter 6. Differential geometry
• Chapter 7. Integral calculus
• Chapter 8. Differential equations
• Chapter 9. Infinite series, Fourier series, Fourier integral, Laplace transformation
• Chapter 10. Theory of probability; statistics; error calculation; mathematical analysis of observations
• Chapter 11. Linear Optimization
• Chapter 12. Algebra of logic (Boolean algebra)
• APPENDIX
• Index