Introduction to Calculus and Classical Analysis
Seiten
2007
|
2nd Revised edition
Springer-Verlag New York Inc.
978-0-387-69315-6 (ISBN)
Springer-Verlag New York Inc.
978-0-387-69315-6 (ISBN)
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Involving rigorous analysis, computational dexterity, and a breadth of applications, this book is ideal for undergraduate majors. For this second edition, the author has corrected errors, rewritten large portions of the text, and has introduced new topics.
Intended for an honors calculus course or for an introduction to analysis, this is an ideal text for undergraduate majors since it covers rigorous analysis, computational dexterity, and a breadth of applications. The book contains many remarkable features: * complete avoidance of /epsilon-/delta arguments by using sequences instead * 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.
Intended for an honors calculus course or for an introduction to analysis, this is an ideal text for undergraduate majors since it covers rigorous analysis, computational dexterity, and a breadth of applications. The book contains many remarkable features: * complete avoidance of /epsilon-/delta arguments by using sequences instead * 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.
The Set of Real Numbers.- Continuity.- Differentiation.- Integration.- Applications.- Solutions.- References.- Index.
| Erscheint lt. Verlag | 18.6.2007 |
|---|---|
| Reihe/Serie | Undergraduate Texts in Mathematics |
| Zusatzinfo | 65 black & white illustrations |
| Verlagsort | New York, NY |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Einbandart | gebunden |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| ISBN-10 | 0-387-69315-7 / 0387693157 |
| ISBN-13 | 978-0-387-69315-6 / 9780387693156 |
| Zustand | Neuware |
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