Real Analysis: An Undergraduate Problem Book for Mathematicians, Applied Scientists, and Engineers is a classical Real Analysis/Calculus problem book. This topic has been a compulsory subject for every undergraduate studying mathematics or engineering for a very long time. This volume contains a huge number of engaging problems and solutions, as well as detailed explanations of how to achieve these solutions. This latter quality is something that many problem books lack, and it is hoped that this feature will be useful to students and instructors alike.
Features
Hundreds of problems and solutions
Can be used as a stand-alone problem book, or in conjunction with the author's textbook, Real Analysis: An Undergraduate Textbook for Mathematicians, Applied Scientists, and Engineers, ISBN 9781032481487
Perfect resource for undergraduate students studying a first course in Calculus or Real Analysis
Contains explanatory figures, detailed techniques, tricks, hints, and "recipes" on how to proceed once we have a calculus problem in front of us.
Sprache
Verlagsort
Verlagsgruppe
Zielgruppe
Für höhere Schule und Studium
Für Beruf und Forschung
Academic and Undergraduate Core
Illustrationen
31 s/w Abbildungen, 31 s/w Zeichnungen
31 Line drawings, black and white; 31 Illustrations, black and white
Maße
Höhe: 240 mm
Breite: 161 mm
Dicke: 33 mm
Gewicht
ISBN-13
978-1-032-50461-2 (9781032504612)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Klassifikation
Gustavo da Silva Araujo is an Assistant professor at the State University of Paraiba, Brazil. His primary research interests encompass real and complex analysis, the geometry of Banach spaces, operator theory, series and summability, mathematical inequalities, and lineability. He has authored several papers in these areas, and also serves as reviewer for many mathematics journals. He earned his Ph.D. in mathematics from the Federal University of Paraiba in 2016.
Gustavo A. Munoz Fernandez graduated in Mathematics from Universidad Complutense in 1994 and in Physics from UNED in 2001. He earned his Ph.D. in Mathematics from Universidad Complutense in 1999. Dr. Munoz is currently the Academic Secretary of the Interdisciplinary Mathematics Institute (IMI) and a Full Professor at the Department of Mathematical Analysis and Applied Mathematics at Universidad Complutense. Dr. Munoz has co-authored more than 70 publications including a research book and several textbooks. The scientific interests of Dr. Munoz are related, mainly, to geometry of Banach spaces, polynomials in normed spaces and algebraic genericity (lineability).
Maria E. Martinez Gomez is currently an Assistant Professor at the Department of Applied Mathematics, Materials Science and Engineering and Electronic Technology, Rey Juan Carlos University (Spain). In 2017, she graduated in Mathematics from the Complutense University of Madrid (UCM) and defended her PhD Thesis in 2021. Her areas of expertise include Real and Convex Analysis and Set Theory.
Luis Bernal Gonzalez graduated in 1980 from the Universidad de Sevilla, Spain. He obtained his Ph.D. in Mathematics from the same university in 1984. Dr. Bernal has been a permanent faculty member at Sevilla since 1980 and was promoted to associate professor in 1987, and to full professor in 2010. He was an invited speaker at the International Congress on Hypercyclicity and Chaos for Linear Operators and Semigroups in Valencia (Spain) in 2009. His main interests are Complex Analysis, Operator Theory and, lately, the interdisciplinary subject of Lineability. Dr. Bernal has authored or co-authored more than 130 papers in these areas, many of them concerning the structure of the sets of the mathematical objects discovered. He has been plenary lecturer at many international conferences.
Jose L. Gamez Merino graduated from Universidad Complutense de Madrid (Spain) in 1989 and obtained his Ph.D. degree in Mathematics from the same university in 1997. He is an expert in Real Analysis. Dr. Gamez is, currently, an Associate Professor at the Department of Mathematical Analysis and Applied Mathematics at the Universidad Complutense de Madrid.
Juan B. Seoane Sepulveda earned his first Ph.D. at the Universidad de Cadiz (Spain) jointly with Universitaet Karlsruhe (Germany) in 2005. He earned his second Ph.D. at Kent State University (Kent, Ohio, USA) in 2006. His main interests include Real and Complex Analysis, Operator Theory, Number Theory, Banach Space Geometry and Lineability. He has co-authored about 200 papers up to this day, together with several books. Dr. Seoane is currently a Full Professor at Universidad Complutense de Madrid (Spain), where he also holds the position of Director of the Master's Studies in Advanced Mathematics. He has delivered invited lectures at many international conferences and research institutes around the world.
Daniel L. Rodriguez Vidanes is currently a postdoctoral researcher within the Department of Mathematical Analysis and Applied Mathematics at Complutense University of Madrid (UCM). He defended his PhD Thesis on 2023 under the supervision of professors Juan B. Seoane Sepulveda and Gustavo A. Munoz Fernandez from UCM (Spain), alongside Krzysztof C. Ciesielski from West Virginia University (WVU, USA). His academic journey includes over 20 scientific international publications. Additionally, he also co-authored a research book on the geometry of spaces of polynomials. Daniel's scholarly pursuits are deeply rooted in various domains within mathematics. His research interests span the analysis of real functions, functional analysis, geometry of Banach spaces, spaces of polynomials, and lineability.
Autor*in
UEP, Brazil
US, Spain
UCM, Spain
UCM, Spain
UCM, Spain
UCM, Spain
1. The Field of Real Numbers. 2. The Field of Complex Numbers. 3. Sequences of Real Numbers. Convergence. 4. Continuous Functions. 5. Differentiable Functions. 6. Riemann Integral. 7. Numerical Series. 8. Power Series. Function Sequences and Series.
