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Examples and Problems in Advanced Calculus: Real-Valued Functions

Autor Bijan Davvaz
en Limba Engleză Paperback – 13 dec 2021
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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Specificații

ISBN-13: 9789811595714
ISBN-10: 9811595712
Pagini: 382
Ilustrații: IX, 382 p. 77 illus., 70 illus. in color.
Dimensiuni: 155 x 235 mm
Greutate: 0.55 kg
Ediția:1st ed. 2020
Editura: Springer Nature Singapore
Colecția Springer
Locul publicării:Singapore, Singapore

Cuprins

Sets, numbers and functions.- Limits and continuity.- Derivatives.- Optimization problems.- Integrals.- Applications of integrations.- Sequences and series.

Recenzii

“As a professor, I look forward to using this book in order to find interesting and insightful problems. … Davvaz’s text delivers exactly what it promises, offering problems in advanced calculus … . As a former and future teacher of undergraduate Real Analysis, I look forward to having this book on my desk to draw inspiration from.” (John Ross, MAA Reviews, November 28, 2021)

Notă biografică

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. 

Textul de pe ultima copertă

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.


Caracteristici

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