Overview
Presents over 500 intensive exercises on calculus
Recalls important definitions, theorems, and concepts in all chapters
Discusses topics on set theory, numbers, functions, limits and continuity, derivative, integral calculus, Roll's theorem, mean value theorem, optimization problems, sequences, and series
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Table of contents (7 chapters)
Keywords
About this book
This book includes over 500 most challenging exercises and problems in calculus. Topical problems and exercises are discussed on set theory, numbers, functions, limits and continuity, derivative, integral calculus, Rolle’s theorem, mean value theorem, optimization problems, sequences and series. All the seven chapters recall important definitions, theorems and concepts, making this book immensely valuable to undergraduate students of engineering, mathematics, statistics, computer science and basic sciences.
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Authors and Affiliations
About the author
BIJAN DAVVAZ is Professor at the Department of Mathematics, Yazd University, Iran. He earned his Ph.D. in Mathematics with a thesis on “Topics in Algebraic Hyperstructures” from Tarbiat Modarres University, Iran, and completed his M.Sc. in Mathematics from the University of Tehran. Apart from his role of a Professor, he also has served as Head of the Department of Mathematics (1998–2002), Chairman of the Faculty of Science (2004–2006) and Vice-President for Research (2006–2008) at Yazd University, Iran. His areas of interest include algebra, algebraic hyperstructures, rough sets and fuzzy logic. A member of editorial boards for 25 mathematical journals, Prof. Davvaz has authored 5 books and over 550 research papers, especially on algebra, fuzzy logic, algebraic hyperstructures and their applications.
Bibliographic Information
Book Title: Examples and Problems in Advanced Calculus: Real-Valued Functions
Authors: Bijan Davvaz
DOI: https://doi.org/10.1007/978-981-15-9569-1
Publisher: Springer Singapore
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2020
Hardcover ISBN: 978-981-15-9568-4Published: 12 December 2020
Softcover ISBN: 978-981-15-9571-4Published: 13 December 2021
eBook ISBN: 978-981-15-9569-1Published: 11 December 2020
Edition Number: 1
Number of Pages: IX, 382
Number of Illustrations: 7 b/w illustrations, 70 illustrations in colour
Topics: Analysis, Optimization