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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.
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.
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.
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
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.
| Erscheinungsjahr: | 2020 |
|---|---|
| Fachbereich: | Analysis |
| Genre: | Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Buch |
| Seiten: | 384 |
| Reihe: | Problem Books in Mathematics |
| Inhalt: |
xii
369 S. 33 s/w Illustr. 369 p. 33 illus. |
| ISBN-13: | 9783030358433 |
| ISBN-10: | 3030358437 |
| Sprache: | Englisch |
| Herstellernummer: | 978-3-030-35843-3 |
| Ausstattung / Beilage: | HC runder Rücken kaschiert |
| Einband: | Gebunden |
| Autor: | Rado¿ycki, Tomasz |
| Auflage: | 1st ed. 2020 |
| Hersteller: |
Springer International Publishing
Springer International Publishing AG Problem Books in Mathematics |
| Maße: | 241 x 160 x 27 mm |
| Von/Mit: | Tomasz Rado¿ycki |
| Erscheinungsdatum: | 21.02.2020 |
| Gewicht: | 0,74 kg |
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.
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
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.
| Erscheinungsjahr: | 2020 |
|---|---|
| Fachbereich: | Analysis |
| Genre: | Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Buch |
| Seiten: | 384 |
| Reihe: | Problem Books in Mathematics |
| Inhalt: |
xii
369 S. 33 s/w Illustr. 369 p. 33 illus. |
| ISBN-13: | 9783030358433 |
| ISBN-10: | 3030358437 |
| Sprache: | Englisch |
| Herstellernummer: | 978-3-030-35843-3 |
| Ausstattung / Beilage: | HC runder Rücken kaschiert |
| Einband: | Gebunden |
| Autor: | Rado¿ycki, Tomasz |
| Auflage: | 1st ed. 2020 |
| Hersteller: |
Springer International Publishing
Springer International Publishing AG Problem Books in Mathematics |
| Maße: | 241 x 160 x 27 mm |
| Von/Mit: | Tomasz Rado¿ycki |
| Erscheinungsdatum: | 21.02.2020 |
| Gewicht: | 0,74 kg |
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