Examples and Problems in Advanced Calculus: Real-Valued Functions

Bijan Davvaz (Autor)

Buch | Softcover

382 Seiten

2021 | 1st ed. 2020
Springer Verlag, Singapore
978-981-15-9571-4 (ISBN)

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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.

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.

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

“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)

Erscheinungsdatum	17.12.2021
Zusatzinfo	70 Illustrations, color; 7 Illustrations, black and white; IX, 382 p. 77 illus., 70 illus. in color.
Verlagsort	Singapore
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Mathematik / Informatik ► Mathematik ► Finanz- / Wirtschaftsmathematik
Schlagworte	Calculus • Derivative • Integral • limits and continuous functions • Optimization • sequence and series • Sets
ISBN-10	981-15-9571-2 / 9811595712
ISBN-13	978-981-15-9571-4 / 9789811595714
Zustand	Neuware