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Solving Problems in Mathematical Analysis, Part II
Definite, Improper and Multidimensional Integrals, Functions of Several Variables and Differential Equations
Buch von Tomasz Rado¿ycki
Sprache: Englisch

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Beschreibung
This textbook offers an extensive list of completely solved problems in mathematical analysis. This second of three volumes covers definite, improper and multidimensional integrals, functions of several variables, differential equations, and more. 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.
This textbook offers an extensive list of completely solved problems in mathematical analysis. This second of three volumes covers definite, improper and multidimensional integrals, functions of several variables, differential equations, and more. 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.
Über den Autor
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.
Zusammenfassung

Offers an extensive list of completely solved problems in mathematical analysis

Covers definite, improper and multidimensional integrals, functions of several variables, differential equations, and more

Additional exercises at the end of each chapter provide rich material for independent study

Inhaltsverzeichnis
Exploring the Riemann and Definite Integral.- Examining Improper Integrals.- Applying One-Dimensional Integrals to Geometry and Physics.- Dealing with Functions of Several Variables.- Investigating Derivatives of Multivariable Functions.- Examining Higher Derivatives, Differential Expressions and the Taylor's Formula.- Examining Extremes and Other Important Points.- Examining Implicit and Inverse Functions.- Solving Differential Equations of the First Order.- Solving Differential Equations of Higher Orders.- Solving Systems of First-Order Differential Equations.- Integrating in Many Dimensions.- Applying Multidimensional Integrals to Geometry and Physics.
Details
Erscheinungsjahr: 2020
Fachbereich: Analysis
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 396
Reihe: Problem Books in Mathematics
Inhalt: xi
384 S.
54 s/w Illustr.
384 p. 54 illus.
ISBN-13: 9783030368470
ISBN-10: 3030368475
Sprache: Englisch
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: 23.02.2020
Gewicht: 0,758 kg
preigu-id: 117657468
Über den Autor
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.
Zusammenfassung

Offers an extensive list of completely solved problems in mathematical analysis

Covers definite, improper and multidimensional integrals, functions of several variables, differential equations, and more

Additional exercises at the end of each chapter provide rich material for independent study

Inhaltsverzeichnis
Exploring the Riemann and Definite Integral.- Examining Improper Integrals.- Applying One-Dimensional Integrals to Geometry and Physics.- Dealing with Functions of Several Variables.- Investigating Derivatives of Multivariable Functions.- Examining Higher Derivatives, Differential Expressions and the Taylor's Formula.- Examining Extremes and Other Important Points.- Examining Implicit and Inverse Functions.- Solving Differential Equations of the First Order.- Solving Differential Equations of Higher Orders.- Solving Systems of First-Order Differential Equations.- Integrating in Many Dimensions.- Applying Multidimensional Integrals to Geometry and Physics.
Details
Erscheinungsjahr: 2020
Fachbereich: Analysis
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 396
Reihe: Problem Books in Mathematics
Inhalt: xi
384 S.
54 s/w Illustr.
384 p. 54 illus.
ISBN-13: 9783030368470
ISBN-10: 3030368475
Sprache: Englisch
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: 23.02.2020
Gewicht: 0,758 kg
preigu-id: 117657468
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