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| Título : |
Problems in Real Analysis : Advanced Calculus on the Real Axis |
| Tipo de documento: |
documento electrónico |
| Autores: |
Radulescu, Teodora-Liliana ; SpringerLink (Online service) ; Vicentiu D. Radulescu ; Titu Andreescu |
| Editorial: |
New York, NY : Springer New York |
| Fecha de publicación: |
2009 |
| Número de páginas: |
XX, 452 p. 10 illus |
| Il.: |
online resource |
| ISBN/ISSN/DL: |
978-0-387-77379-7 |
| Idioma : |
Inglés (eng) |
| Palabras clave: |
Mathematics Mathematical analysis Analysis (Mathematics) Differential equations Functions of real variables Applied mathematics Engineering Numerical Real Ordinary Equations Applications |
| Clasificación: |
51 Matemáticas |
| Resumen: |
Problems in Real Analysis: Advanced Calculus on the Real Axis features a comprehensive collection of challenging problems in mathematical analysis that aim to promote creative, non-standard techniques for solving problems. This self-contained text offers a host of new mathematical tools and strategies which develop a connection between analysis and other mathematical disciplines, such as physics and engineering. A broad view of mathematics is presented throughout; the text is excellent for the classroom or self-study. It is intended for undergraduate and graduate students in mathematics, as well as for researchers engaged in the interplay between applied analysis, mathematical physics, and numerical analysis. Key features: *Uses competition-inspired problems as a platform for training typical inventive skills; *Develops basic valuable techniques for solving problems in mathematical analysis on the real axis and provides solid preparation for deeper study of real analysis; *Includes numerous examples and interesting, valuable historical accounts of ideas and methods in analysis; *Offers a systematic path to organizing a natural transition that bridges elementary problem-solving activity to independent exploration of new results and properties |
| Nota de contenido: |
Sequences, Series, and Limits -- Sequences -- Series -- Limits of Functions -- Qualitative Properties of Continuous and Differentiable Functions -- Continuity -- Differentiability -- Applications to Convex Functions and Optimization -- Convex Functions -- Inequalities and Extremum Problems -- Antiderivatives, Riemann Integrability, and Applications -- Antiderivatives -- Riemann Integrability -- Applications of the Integral Calculus -- Basic Elements of Set Theory |
| En línea: |
http://dx.doi.org/10.1007/978-0-387-77379-7 |
| Link: |
https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33869 |
Problems in Real Analysis : Advanced Calculus on the Real Axis [documento electrónico] / Radulescu, Teodora-Liliana ; SpringerLink (Online service) ; Vicentiu D. Radulescu ; Titu Andreescu . - New York, NY : Springer New York, 2009 . - XX, 452 p. 10 illus : online resource. ISBN : 978-0-387-77379-7 Idioma : Inglés ( eng)
| Palabras clave: |
Mathematics Mathematical analysis Analysis (Mathematics) Differential equations Functions of real variables Applied mathematics Engineering Numerical Real Ordinary Equations Applications |
| Clasificación: |
51 Matemáticas |
| Resumen: |
Problems in Real Analysis: Advanced Calculus on the Real Axis features a comprehensive collection of challenging problems in mathematical analysis that aim to promote creative, non-standard techniques for solving problems. This self-contained text offers a host of new mathematical tools and strategies which develop a connection between analysis and other mathematical disciplines, such as physics and engineering. A broad view of mathematics is presented throughout; the text is excellent for the classroom or self-study. It is intended for undergraduate and graduate students in mathematics, as well as for researchers engaged in the interplay between applied analysis, mathematical physics, and numerical analysis. Key features: *Uses competition-inspired problems as a platform for training typical inventive skills; *Develops basic valuable techniques for solving problems in mathematical analysis on the real axis and provides solid preparation for deeper study of real analysis; *Includes numerous examples and interesting, valuable historical accounts of ideas and methods in analysis; *Offers a systematic path to organizing a natural transition that bridges elementary problem-solving activity to independent exploration of new results and properties |
| Nota de contenido: |
Sequences, Series, and Limits -- Sequences -- Series -- Limits of Functions -- Qualitative Properties of Continuous and Differentiable Functions -- Continuity -- Differentiability -- Applications to Convex Functions and Optimization -- Convex Functions -- Inequalities and Extremum Problems -- Antiderivatives, Riemann Integrability, and Applications -- Antiderivatives -- Riemann Integrability -- Applications of the Integral Calculus -- Basic Elements of Set Theory |
| En línea: |
http://dx.doi.org/10.1007/978-0-387-77379-7 |
| Link: |
https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33869 |
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