Author : Ignacio Zalduendo
Publisher : Springer Nature
ISBN 13 : 3031157656
Total Pages : 225 pages
Book Rating : 4.0/5 (311 download)
Book Synopsis Calculus off the Beaten Path by : Ignacio Zalduendo
Download or read book Calculus off the Beaten Path written by Ignacio Zalduendo and published by Springer Nature. This book was released on 2022-11-09 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides a gentle overview of fundamental concepts related to one-variable calculus. The original approach is a result of the author’s forty years of experience in teaching the subject at universities around the world. In this book, Dr. Zalduendo makes use of the history of mathematics and a friendly, conversational approach to attract the attention of the student, emphasizing what is more conceptually relevant and putting key notions in a historical perspective. Such an approach was conceived to help them to overcome potential difficulties in teaching and learning of this subject — caused, in many cases, by an excess of technicalities and computations. Besides covering the core of the discipline — real number, sequences and series, functions, derivatives, integrals, convexity and inequalities — the book is enriched by “side trips” to relevant subjects not usually seen in traditional calculus textbooks, touching on topics like curvature, the isoperimetric inequality, Riemann’s rearrangement theorem, Snell’s law, Buffon’s needle problem, Gregory’s series, random walk and the Gauss curve, and more. An insightful collection of exercises and applications completes this book, making it ideal as a supplementary textbook for a calculus course or the main textbook for an honors course on the subject.