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 firstor second year students can understand certain research problems. Includes research topics which can be understood by undergraduates Author provides numerous exercises and examples INDICE: Preface.- 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 Rn.- Double Integrals, Triple Integrals, and Line Integrals.- Constants.- Asymptotic and Combinatorial Estimates.- References.- List of Symbols.- Author Index.- Subject Index.
- ISBN: 978-0-387-78932-3
- Editorial: Springer
- Encuadernacion: Cartoné
- Páginas: 455
- Fecha Publicación: 01/12/2008
- Nº Volúmenes: 1
- Idioma: Inglés