INTRODUCTION TO ANALYSIS, AN

Piotr Mikusinski & Jan Mikusinski

ISBN 10: 9813202610 / ISBN 13: 9789813202610

Editore: World Scientific, 2017

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nach der Bestellung gedruckt Neuware - Printed after ordering - The book contains a rigorous exposition of calculus of a single real variable. It covers the standard topics of an introductory analysis course, namely, functions, continuity, differentiability, sequences and series of numbers, sequences and series of functions, and integration. A direct treatment of the Lebesgue integral, based solely on the concept of absolutely convergent series, is presented, which is a unique feature of a textbook at this level. The standard material is complemented by topics usually not found in comparable textbooks, for example, elementary functions are rigorously defined and their properties are carefully derived and an introduction to Fourier series is presented as an example of application of the Lebesgue integral.The text is for a post-calculus course for students majoring in mathematics or mathematics education. It will provide students with a solid background for further studies in analysis, deepen their understanding of calculus, and provide sound training in rigorous mathematical proof.

Codice articolo 9789813202610

Dati bibliografici

• Titolo: INTRODUCTION TO ANALYSIS, AN
• Editore: World Scientific
• Data di pubblicazione: 2017
• Lingua: Inglese
• ISBN 10: 9813202610
• ISBN 13: 9789813202610
• Rilegatura: Buch
• Condizione: Neu
• Dimensioni: 250 L x 175 A x 22 P (millimetri) 250 millimetri di larghezza per 175 millimetri di altezza per 22 millimetri di profondità
• Peso: 730 grammi

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Riassunto

The book contains a rigorous exposition of calculus of a single real variable. It covers the standard topics of an introductory analysis course, namely, functions, continuity, differentiability, sequences and series of numbers, sequences and series of functions, and integration. A direct treatment of the Lebesgue integral, based solely on the concept of absolutely convergent series, is presented, which is a unique feature of a textbook at this level. The standard material is complemented by topics usually not found in comparable textbooks, for example, elementary functions are rigorously defined and their properties are carefully derived and an introduction to Fourier series is presented as an example of application of the Lebesgue integral.The text is for a post-calculus course for students majoring in mathematics or mathematics education. It will provide students with a solid background for further studies in analysis, deepen their understanding of calculus, and provide sound training in rigorous mathematical proof.