03001nam a22004095i 4500 978-0-387-78933-0 DE-He213 20260521092008.0 cr nn 008mamaa 110402s2009 xxu| s |||| 0|eng d 9780387789330 99780387789330 10.1007/ 978-0-387-78933-0 doi CICY Muresan, Marian. author. A Concrete Approach to Classical Analysis [electronic resource] / by Marian Muresan. New York, NY : Springer New York, 2009. XVIII, 438p. 29 illus. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda CMS Books in Mathematics, Ouvrages de mathématiques de la SMC, 1613-5237 Sets and Numbers -- Vector Spaces and Metric Spaces -- Sequences and Series -- Limits and Continuity -- Differential Calculus on R -- Integral Calculus on R -- Differential Calculus on R -- Double Integrals, Triple Integrals, and Line Integrals -- Constants -- Asymptotic and Combinatorial Estimates. Mathematical analysis offers a solid basis for many achievements in applied mathematics and discrete mathematics. This new textbook is focused on differential and integral calculus, and includes a wealth of useful and relevant examples, exercises, and results enlightening the reader to the power of mathematical tools. The intended audience consists of advanced undergraduates studying mathematics or computer science. The author provides excursions from the standard topics to modern and exciting topics, to illustrate the fact that even first or second year students can understand certain research problems. The text has been divided into ten chapters and covers topics on sets and numbers, linear spaces and metric spaces, sequences and series of numbers and of functions, limits and continuity, differential and integral calculus of functions of one or several variables, constants (mainly pi) and algorithms for finding them, the W - Z method of summation, estimates of algorithms and of certain combinatorial problems. Many challenging exercises accompany the text. Most of them have been used to prepare for different mathematical competitions during the past few years. In this respect, the author has maintained a healthy balance of theory and exercises. MATHEMATICS. GLOBAL ANALYSIS (MATHEMATICS). MATHEMATICS. ANALYSIS. SpringerLink (Online service) Springer eBooks Printed edition: 9780387789323 CMS Books in Mathematics, Ouvrages de mathématiques de la SMC, 1613-5237 http://dx.doi.org/10.1007/ 978-0-387-78933-0 Ver el texto completo en las instalaciones del CICY ddc ER 35059 35059 0 0 ddc 0 0 LE CICY CICY EL 2025-10-06 0 2025-10-06 08:44:20 2025-10-06 ER