This text for advanced undergraduate and graduate students presents a rigorous approach that also emphasizes applications. Encompassing more than the usual amount of material on the problems of computation with series, the treatment offers many applications, including those related to the theory of special functions. Numerous problems appear throughout the book.
The first chapter introduces the elementary theory of infinite series, followed by a relatively complete exposition of the basic properties of Taylor series and Fourier series. Additional subjects include series of functions and the applications of uniform convergence; double series, changes in the order of summation, and summability; power series and real analytic functions; and additional topics in Fourier series. The text concludes with an appendix containing material on set and sequence operations and continuous functions.
The first chapter introduces the elementary theory of infinite series, followed by a relatively complete exposition of the basic properties of Taylor series and Fourier series. Additional subjects include series of functions and the applications of uniform convergence; double series, changes in the order of summation, and summability; power series and real analytic functions; and additional topics in Fourier series. The text concludes with an appendix containing material on set and sequence operations and continuous functions.
Betaal eenvoudig met kaart, Klarna, Apple Pay of Google Pay. Niet tevreden? Je hebt altijd 14 dagen bedenktijd. Lees meer in onze voorwaarden. Heb je vragen, mail ons dan via hello@memmo.org.
Memmo maakt studeren makkelijker – waar je ook bent ter wereld. Wij brengen je cursusboeken en slimme studietools samen op één plek: samenvattingen, quizzen, podcasts en flashcards. En Ted, je studievriend die antwoord geeft op alles wat je je afvraagt. Meer dan 50.000 studenten studeren hier al – gebouwd om je sneller te laten leren en minder stress te geven.
Misschien vind je dit ook leuk
Koop het boek0