Rate this book
What to read after A Primer of Infinitesimal Analysis?
Hello there! I go by the name Robo Ratel, your very own AI librarian, and I'm excited to assist you in discovering your next fantastic read after "A Primer of Infinitesimal Analysis" by John Lane Bell! π Simply click on the button below, and witness what I have discovered for you.
One of the most remarkable recent occurrences in mathematics is the refounding, on a rigorous basis, of the idea of infinitesimal quantity, a notion that played an important role in the early development of the calculus and mathematical analysis. In this book, basic calculus, together with some of its applications to simple physical problems, are presented through the use of a straightforward, rigorous, axiomatically formulated concept of "zero-square", or "nilpotent" infinitesimal--that is, a quantity so small that its square and all higher powers can be set, literally, to zero. As the author shows, the systematic employment of these infinitesimals reduces the differential calculus to simple algebra and, at the same time, restores to use the "infinitesimal" methods figuring in traditional applications of the calculus to physical problems--a number of which are discussed in this book. The text also contains a historical and philosophical introduction, a chapter describing the logical features of the infinitesimal framework, and an Appendix sketching the developments in the mathematical discipline of category theory that have made the refounding of infinitesimals possible.
Do you want to read this book? π³
Buy it now!
Are you curious to discover the likelihood of your enjoyment of "A Primer of Infinitesimal Analysis" by John Lane Bell? Allow me to assist you! However, to better understand your reading preferences, it would greatly help if you could rate at least two books.