INTRODUCTION TO ANALYSIS, AN

Mikusinski, Piotr; Mikusinski, Jan

ISBN 10: 9813202610 / ISBN 13: 9789813202610

Verlag: World Scientific Publishing Company, 2017

Beschreibung

Bestandsnummer des Verkäufers I-9789813202610

Bibliografische Details

• Titel: INTRODUCTION TO ANALYSIS, AN
• Verlag: World Scientific Publishing Company
• Erscheinungsjahr: 2017
• Sprache: Englisch
• ISBN-10: 9813202610
• ISBN-13: 9789813202610
• Einband: Hardcover
• Zustand: New

Über diesen Titel

Inhaltsangabe

 

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.

Über die Autorin bzw. den Autor

Charlotte y Peter Fiell son dos autoridades en historia, teoría y crítica del diseño y han escrito más de sesenta libros sobre la materia, muchos de los cuales se han convertido en éxitos de ventas. También han impartido conferencias y cursos como profesores invitados, han comisariado exposiciones y asesorado a fabricantes, museos, salas de subastas y grandes coleccionistas privados de todo el mundo. Los Fiell han escrito numerosos libros para TASCHEN, entre los que se incluyen 1000 Chairs, Diseño del siglo XX, El diseño industrial de la A a la Z, Scandinavian Design y Diseño del siglo XXI.