What is Calculus? - Range R. Michael - State University of New York at Albany NY USA
What is Calculus? - Range R. Michael - State University of New York at Albany NY USA This unique book provides a new and well-motivated introduction to calculus and analysis, historically significant…
Specifikacia What is Calculus? - Range R. Michael - State University of New York at Albany NY USA
What is Calculus? - Range R. Michael - State University of New York at Albany NY USA
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. This simple algebraic method is a modern version of an idea that goes back to Ren Descartes and that has been largely forgotten. 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.
He expertly guides the 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.