Overview
- Offers an extensive list of completely solved problems in mathematical analysis
- Covers sets, functions, limits, derivatives, integrals, sequences and series, and more
- Additional exercises at the end of each chapter provide rich material for independent study
Part of the book series: Problem Books in Mathematics (PBM)
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Table of contents (15 chapters)
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Front Matter
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Back Matter
Keywords
About this book
This textbook offers an extensive list of completely solved problems in mathematical analysis. This first of three volumes covers sets, functions, limits, derivatives, integrals, sequences and series, to name a few. The series contains the material corresponding to the first three or four semesters of a course in Mathematical Analysis.
Based on the author’s years of teaching experience, this work stands out by providing detailed solutions (often several pages long) to the problems. The basic premise of the book is that no topic should be left unexplained, and no question that could realistically arise while studying the solutions should remain unanswered. The style and format are straightforward and accessible. In addition, each chapter includes exercises for students to work on independently. Answers are provided to all problems, allowing students to check their work.
Though chiefly intended for early undergraduate students of Mathematics, Physics and Engineering, the book will also appeal to students from other areas with an interest in Mathematical Analysis, either as supplementary reading or for independent study.
Reviews
“The volume is intended for undergraduate students in mathematics, physics and engineering. This book is a good addition to other problem books dealing with elementary mathematical analysis.” (Vicenţiu D. Rădulescu, zbMATH 1452.26002, 2021)
Authors and Affiliations
About the author
Tomasz Radożycki is a Professor at the Faculty of Mathematics and Natural Sciences, Cardinal Stefan Wyszyński University in Warsaw, Poland. He is also a former lecturer at both the University of Warsaw and the Warsaw University of Technology. His primary research interest is in Theoretical and Mathematical Physics.
Bibliographic Information
Book Title: Solving Problems in Mathematical Analysis, Part I
Book Subtitle: Sets, Functions, Limits, Derivatives, Integrals, Sequences and Series
Authors: Tomasz Radożycki
Series Title: Problem Books in Mathematics
DOI: https://doi.org/10.1007/978-3-030-35844-0
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2020
Hardcover ISBN: 978-3-030-35843-3Published: 21 February 2020
eBook ISBN: 978-3-030-35844-0Published: 20 February 2020
Series ISSN: 0941-3502
Series E-ISSN: 2197-8506
Edition Number: 1
Number of Pages: XII, 369
Number of Illustrations: 33 b/w illustrations
Additional Information: English translation of the original Polish edition published by FOSZE, Rzeszów, 2010
Topics: Calculus, Sequences, Series, Summability, Mathematical Logic and Foundations