Real Analysis. Series, Functions of Several Variables, and Applications.

Laczkovich, Miklós

ISBN 10: 1493973673 / ISBN 13: 9781493973675

Editore: New York, Springer., 2017

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IX, 392 p. Hardcover. Versand aus Deutschland / We dispatch from Germany via Air Mail. Einband bestoßen, daher Mängelexemplar gestempelt, sonst sehr guter Zustand. Imperfect copy due to slightly bumped cover, apart from this in very good condition. Stamped. Undergraduate Texts in Mathematics Bd. 3. Sprache: Englisch.

Codice articolo 6138IB

Dati bibliografici

• Titolo: Real Analysis. Series, Functions of Several Variables, and Applications.
• Editore: New York, Springer.
• Data di pubblicazione: 2017
• Lingua: Inglese
• ISBN 10: 1493973673
• ISBN 13: 9781493973675
• Rilegatura: Rilegato
• Cataloghi dei venditori:
  • Mathematik

Descrizione articolo

Riassunto

This book develops the theory of multivariable analysis, building on the single variable foundations established in the companion volume, Real Analysis: Foundations and Functions of One Variable. Together, these volumes form the first English edition of the popular Hungarian original, Valós Analízis I & II, based on courses taught by the authors at Eötvös Loránd University, Hungary, for more than 30 years. Numerous exercises are included throughout, offering ample opportunities to master topics by progressing from routine to difficult problems. Hints or solutions to many of the more challenging exercises make this book ideal for independent study, or further reading.

Intended as a sequel to a course in single variable analysis, this book builds upon and expands these ideas into higher dimensions. The modular organization makes this text adaptable for either a semester or year-long introductory course. Topics include: differentiation and integration of functions of several variables; infinite numerical series; sequences and series of functions; and applications to other areas of mathematics. Many historical notes are given and there is an emphasis on conceptual understanding and context, be it within mathematics itself or more broadly in applications, such as physics. By developing the students intuition throughout, many definitions and results become motivated by insights from their context.

Informazioni sull?autore

Miklós Laczkovich is a member of the Hungarian Academy of Sciences and professor emeritus at Eötvös Loránd University Budapest and University College London. He was awarded the Ostrowski Prize in 1993 and the Széchenyi Prize in 1998.

Vera T. Sós is a member of the Hungarian Academy of Sciences and professor emeritus at Eötvös Loránd Univesity Budapest and the Alfred Renyi Mathematical Institute of the Hungarian Academy of Sciences. She was awarded the Széchenyi Prize in 1997.