Introduction to Calculus and Classical Analysis - 9780387693156
Un libro in lingua di Omar Hijab edito da Springer Verlag, 2007
- € 54.70
- Il prezzo è variabile in funzione del cambio della valuta d’origine
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, - interesting applications, many of which are not usually found in advanced calculus booksAbout the first edition:"The treatment, however, is far from standard, and many topics are included, especially in the last chapter, that are not available in other modern elementary texts…This is a rigorous book with good motivational material and explanatory remarks. It includes 347 problems, with solutions given in a 73-page appendix…some of the most attractive material requires considerable skill in manipulation." D.H. Armitage (MathSciNet).New in the second edition:For the new edition, the author has corrected errors and rewritten large portions of the text. In addition, the author has introduced new topics, such as a combinatorial proof that the radius of convergence of the Bernoulli series is 2p."ICCA is beautifully conceived and carefully executed...[this book] has much to teach, both about mathematics and how to write mathematics." Marvin Knopp, American Mathematical Monthly.
Informazioni bibliografiche
- Titolo del Libro in lingua: Introduction to Calculus and Classical Analysis
- Lingua: English
- Autore: Omar Hijab
- Editore: Springer Verlag
- Collana: Springer Verlag (Hardcover)
- Data di Pubblicazione: 27 Gennaio '07
- Genere: MATHEMATICS
- Argomenti : Calculus Mathematical analysis
- Pagine: 337
- Dimensioni mm: 234 x 152 x 19
- ISBN-10: 0387693157
- EAN-13: 9780387693156