Introduction to Calculus and Classical Analysis (Undergraduate Texts in Mathematics)

Hijab, Omar:

ISBN 10: 0387949267 / ISBN 13: 9780387949260

Editore: Springer, 1997

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326 p. Unread book. Like new! 9780387949260 Sprache: Englisch Gewicht in Gramm: 635 Hardcover: 15.6 x 2.1 x 23.4 cm.

Codice articolo 201708

Dati bibliografici

• Titolo: Introduction to Calculus and Classical Analysis (Undergraduate Texts in Mathematics)
• Editore: Springer
• Data di pubblicazione: 1997
• Lingua: Inglese
• ISBN 10: 0387949267
• ISBN 13: 9780387949260
• Rilegatura: Rilegato
• Edizione: 1.
• Cataloghi dei venditori:
  • Mathematik

Descrizione articolo

Riassunto

This text is intended for an honors calculus course or for an introduction to analysis. Involving rigorous analysis, computational dexterity, and a breadth of applications, it is ideal for undergraduate majors. The book contains many remarkable features: * complete avoidance of /epsilon-/delta arguments by instead using sequences * definition of the integral as the area under the graph, while area is defined for EVERY subset of the plane * complete avoidance of complex numbers * heavy emphasis on computational problems * applications from many parts of analysis, e.g. convex conjugates, Cantor set, continued fractions, Bessel functions, the zeta functions, and many more * 344 problems with solutions in the back of the book.

Contenuti

Contents: The Set of Real Numbers.- Continuity.- Differentiation.- Integration.- Applications.