What is Calculus?

From Simple Algebra to Deep Analysis

Nonfiction, Science & Nature, Mathematics, Mathematical Analysis, Calculus
Cover of the book What is Calculus? by R Michael Range, World Scientific Publishing Company
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: R Michael Range ISBN: 9789814644501
Publisher: World Scientific Publishing Company Publication: August 20, 2015
Imprint: WSPC Language: English
Author: R Michael Range
ISBN: 9789814644501
Publisher: World Scientific Publishing Company
Publication: August 20, 2015
Imprint: WSPC
Language: English

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 should be of interest as a source of new ideas and as supplementary reading for high school teachers, and for students and instructors of calculus and analysis.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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 should be of interest as a source of new ideas and as supplementary reading for high school teachers, and for students and instructors of calculus and analysis.

More books from World Scientific Publishing Company

Cover of the book Recent Progress in Orbital-free Density Functional Theory by R Michael Range
Cover of the book Operator Functions and Operator Equations by R Michael Range
Cover of the book Advanced Medical Statistics by R Michael Range
Cover of the book Accounting/Finance Lessons of Enron by R Michael Range
Cover of the book Model Risk in Financial Markets by R Michael Range
Cover of the book Nearrings, Nearfields and Related Topics by R Michael Range
Cover of the book Pioneers of Medicine Without a Nobel Prize by R Michael Range
Cover of the book Raman Spectroscopy by R Michael Range
Cover of the book Foreign Direct Investment and Small and Medium Enterprises by R Michael Range
Cover of the book Adaptive Control of Underactuated Mechanical Systems by R Michael Range
Cover of the book Lecture Notes on Calculus of Variations by R Michael Range
Cover of the book Stock Markets, Investments and Corporate Behavior by R Michael Range
Cover of the book Photons in Fock Space and Beyond by R Michael Range
Cover of the book Japan and China by R Michael Range
Cover of the book Newton and Modern Physics by R Michael Range
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy