Course In Analysis, A - Volume I: Introductory Calculus, Analysis Of Functions Of One Real Variable

Jacob, Niels

ISBN 10: 9814689092 ISBN 13: 9789814689090

Verlag: Wspc, 2015

Sprache: Englisch

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Bibliografische Details

Titel

Course In Analysis, A - Volume I: Introductory Calculus, Analysis Of Functions Of One Real Variable

Verlag

Wspc

Erscheinungsjahr

2015

Sprache

Englisch

ISBN-10

9814689092

ISBN-13

9789814689090

Einband

Softcover

Zustand

New

Verk�uferkataloge

�ber diesen Titel

Inhaltsangabe

"This is a very good book for anyone interested in learning analysis. I highly recommend this book to anyone teaching or studying analysis at an undergraduate level." Zentralblatt Math Part 1 begins with an overview of properties of the real numbers and starts to introduce the notions of set theory. The absolute value and in particular inequalities are considered in great detail before functions and their basic properties are handled. From this the authors move to differential and integral calculus. Many examples are discussed. Proofs not depending on a deeper understanding of the completeness of the real numbers are provided. As a typical calculus module, this part is thought as an interface from school to university analysis. Part 2 returns to the structure of the real numbers, most of all to the problem of their completeness which is discussed in great depth. Once the completeness of the real line is settled the authors revisit the main results of Part 1 and provide complete proofs. Moreover they develop differential and integral calculus on a rigorous basis much further by discussing uniform convergence and the interchanging of limits, infinite series (including Taylor series) and infinite products, improper integrals and the gamma function. In addition they discussed in more detail as usual monotone and convex functions. Finally, the authors supply a number of Appendices, among them Appendices on basic mathematical logic, more on set theory, the Peano axioms and mathematical induction, and on further discussions of the completeness of the real numbers. Remarkably, Volume I contains ca. 360 problems with complete, detailed solutions.

�ber die Autorin bzw. den Autor

Charlotte y Peter Fiell son dos autoridades en historia, teor�a y cr�tica del dise�o y han escrito m�s de sesenta libros sobre la materia, muchos de los cuales se han convertido en �xitos de ventas. Tambi�n 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, Dise�o del siglo XX, El dise�o industrial de la A a la Z, Scandinavian Design y Dise�o del siglo XXI.

��ber diesen Titel� kann sich auf eine andere Ausgabe dieses Titels beziehen.

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