Can I read What Is Calculus? : from Simple Algebra to Deep Analysis on EtoBox?

What Is Calculus? : from Simple Algebra to Deep Analysis by R. Michael Range, State University of New York at Albany, USA is a book available to read on EtoBox.

What is What Is Calculus? : from Simple Algebra to Deep Analysis about?

This unique book provides a new and well-motivated introduction to calculus and analysis, historically significant fundamental areas of mathematics that are widely used in many disciplines. It begins with familiar elementary high school geometry and algebra, and develops important concepts such as tangents and derivatives without using any advanced tools based on limits and infinite processes that dominate the traditional introductions to the subject. This simple algebraic method is a modern version of an idea that goes back to René Descartes and that has been largely forgotten. Moving beyond algebra, the need for new analytic concepts based on completeness, continuity, and limits becomes clearly visible to the reader while investigating exponential functions.The author carefully develops the necessary foundations while minimizing the use of technical language. He expertly guides the reader to deep fundamental analysis results, including completeness, key differential equations, definite integrals, Taylor series for standard functions, and the Euler identity. This pioneering book takes the sophisticated reader from simple familiar algebra to the heart of analysis. Furthermore, it s

Author

R. Michael Range, State University of New York at Albany, USA

Publisher

World Scientific Publishing Co Pte Ltd

Published

2016

Language

EN

ISBN

9789814644471

Subjects

Mathematics, Stem