Fr. 109.00

Solving Problems in Mathematical Analysis, Part I - Sets, Functions, Limits, Derivatives, Integrals, Sequences and Series

English · Hardback

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Description

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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.

List of contents

Examining Sets and Relations.- Investigating Basic Properties of Functions.- Defining Distance in Sets.- Using Mathematical Induction.- Investigating Convergence of Sequences and Looking for Their Limits.- Dealing with Open, Closed and Compact Sets.- Finding Limits of Functions.- Examining Continuity and Uniform Continuity of Functions.- Finding Derivatives of Functions.- Using Derivatives to Study Certain Properties of Functions.- Dealing with Higher Derivatives and Taylor's Formula.- Looking for Extremes and Examine Functions.- Investigating the Convergence of Series.- Finding Indefinite Integrals.- Investigating the Convergence of Sequences and Series of Functions.

About the author










Tomasz Radöycki is a Professor at the Faculty of Mathematics and Natural Sciences, Cardinal Stefan Wyszy¿ski 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.


Report

"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." (Vicentiu D. Radulescu, zbMATH 1452.26002, 2021)

Product details

Authors Tomasz Rado¿ycki, Tomasz Radoycki, Tomasz Radozycki
Publisher Springer, Berlin
 
Original title Rozwiazujemy zadania z analizy matematycznej, czesc 1
Languages English
Product format Hardback
Released 01.03.2020
 
EAN 9783030358433
ISBN 978-3-0-3035843-3
No. of pages 369
Dimensions 158 mm x 241 mm x 27 mm
Weight 732 g
Illustrations XII, 369 p. 33 illus.
Series Problem Books in Mathematics
Subjects Natural sciences, medicine, IT, technology > Mathematics > Analysis

Analysis, Infinitesimalrechnung, Calculus, Mathematik / Logik, MATHEMATICS / Calculus, calculus; set theory; relations; metric spaces; differentiable functions; indefinite integrals; functional sequences; functional series

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