Examples and Problems in Advanced Calculus: Real-Valued Functions
Authors: Davvaz, Bijan
Free Preview- Presents over 500 intensive exercises on calculusRecalls important definitions, theorems, and concepts in all chaptersDiscusses 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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- About this Textbook
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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.
- About the authors
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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.
- Table of contents (7 chapters)
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Sets, Numbers and Functions
Pages 1-40
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Limits and Continuity
Pages 41-76
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Derivatives
Pages 77-143
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Optimization Problems
Pages 145-166
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Integrals
Pages 167-268
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Table of contents (7 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Examples and Problems in Advanced Calculus: Real-Valued Functions
- Authors
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- Bijan Davvaz
- Copyright
- 2020
- Publisher
- Springer Singapore
- Copyright Holder
- The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.
- eBook ISBN
- 978-981-15-9569-1
- DOI
- 10.1007/978-981-15-9569-1
- Hardcover ISBN
- 978-981-15-9568-4
- Edition Number
- 1
- Number of Pages
- IX, 382
- Number of Illustrations
- 7 b/w illustrations, 70 illustrations in colour
- Topics
