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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Analysis Sharpening Mathematical Analysis Skills
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Sharpening Mathematical Analysis Skills
Alina Sîntămărian, Ovidiu Furdui (Gebundene Ausgabe, Englisch)
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Beschreibung
This book gathers together a novel collection of problems in mathematical analysis that are challenging and worth studying. They cover most of the classical topics of a course in mathematical analysis, and include challenges presented with an increasing level of difficulty. Problems are designed to encourage creativity, and some of them were especially crafted to lead to open problems which might… be of interest for students seeking motivation to get a start in research. The sets of problems are comprised in Part I. The exercises are arranged on topics, many of them being preceded by supporting theory. Content starts with limits, series of real numbers and power series, extending to derivatives and their applications, partial derivatives and implicit functions. Difficult problems have been structured in parts, helping the reader to find a solution. Challenges and open problems are scattered throughout the text, being an invitation to discover new original methodsfor proving known results and establishing new ones. The final two chapters offer ambitious readers splendid problems and two new proofs of a famous quadratic series involving harmonic numbers. In Part II, the reader will find solutions to the proposed exercises. Undergraduate students in mathematics, physics and engineering, seeking to strengthen their skills in analysis, will most benefit from this work, along with instructors involved in math contests, individuals who want to enrich and test their knowledge in analysis, and anyone willing to explore the standard topics of mathematical analysis in ways that aren’t commonly seen in regular textbooks. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
26.10.2021
Sprache
Englisch
EAN
9783030771386
Herausgeber
Springer International Publishing
Serien- oder Bandtitel
Problem Books in Mathematics
Sonderedition
Nein
Autor
Alina Sîntămărian, Ovidiu Furdui
Seitenanzahl
536
Einbandart
Gebundene Ausgabe
Schlagwörter
mathematical analysis, sequences, series, limits, derivatives, integrals, power series, quadratic series, convergence, partial derivatives, implicit functions, Sandham-Yeung series, Putnam, SEEMOUS, coursework math analysis
Thema-Inhalt
PBK - Mathematische Analysis, allgemein
PBKB - Reelle Analysis, Real-Variablen
Höhe
235 mm
Breite
15.5 cm
Hersteller: Springer, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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