What is Calculus?: From Simple Algebra to Deep Analysis
This alternate presentation of basic calculus can serve as a course text or as a very useful supplement to the more standard introductory calculus courses. The author's discussions of the motivations for various concepts and the need for more sophisticated tools will be particularly useful to the beginning student. The book would be a valuable addition to high-school and undergraduate mathematics libraries. - Mathematical Reviews Clippings 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.
yazar | R Michael Range |
---|---|
Boyutlar ve boyutlar | 15,2 x 2,2 x 22,9 cm |
Tarafından yayınlandı | 24 Ekim 2015 |
28 Ekim 2011 Kolektif 18,9 x 0,6 x 24,6 cm 18,9 x 0,3 x 24,6 cm 15 x 0,5 x 22 cm ROBERT H BORK WADE H MCCREE 18,9 x 0,4 x 24,6 cm ERWIN N GRISWOLD 29 Ekim 2011 18,9 x 0,5 x 24,6 cm 30 Ekim 2011 18,9 x 0,2 x 24,6 cm Additional Contributors 28 Şubat 2018 Mdpi AG 1 Ocak 2017 3 Ocak 2017
okumak okumak kayıt olmadan
Sürüm ayrıntıları
yazar | R Michael Range |
---|---|
isbn 10 | 9814644471 |
isbn 13 | 978-9814644471 |
Yayımcı | World Scientific Publishing Company |
Dilim | İngilizce |
Boyutlar ve boyutlar | 15,2 x 2,2 x 22,9 cm |
Tarafından yayınlandı What is Calculus?: From Simple Algebra to Deep Analysis | 24 Ekim 2015 |
En son kitaplar
benzer kitaplar
Mathematics Agriculture Collegiate Students of Agriculture An General Science (Classic Reprint)
okumak kayıt olmadan
Lattice Boltzmann and Gas Kinetic Flux Solvers: Theory and Applications (Advances in Computational Fluid Dynamics, Band 1)
okumak kayıt olmadan
A Quest For Hope: Searching For Ways Out Of Postmodern Nihilism Into New Reality: Volume 1
okumak kayıt olmadan
Mathematics Agriculture Collegiate Students of Agriculture An General Science (Classic Reprint)
okumak kayıt olmadan
Lattice Boltzmann and Gas Kinetic Flux Solvers: Theory and Applications (Advances in Computational Fluid Dynamics, Band 1)
okumak kayıt olmadan
A Quest For Hope: Searching For Ways Out Of Postmodern Nihilism Into New Reality: Volume 1
okumak kayıt olmadan