Examples and Problems in Advanced Calculus: Real-Valued Functions

1. Auflage 2020
ISBN: 978-981-15-9571-4
Verlag: Springer Nature Singapore

Buch, Englisch, 382 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 593 g

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.

Zielgruppe

Lower undergraduate

Autoren/Hrsg.

Davvaz, Bijan

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Optimierung

Inhaltsverzeichnis

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

Über Autor(innen)

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.