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100301s2009 xxu| s |||| 0|eng d |
| 020 |
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|a 9780387773797
|9 978-0-387-77379-7
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| 024 |
7 |
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|a 10.1007/978-0-387-77379-7
|2 doi
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| 100 |
1 |
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|a Radulescu, Teodora-Liliana.
|e author.
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| 245 |
1 |
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|a Problems in Real Analysis
|b Advanced Calculus on the Real Axis /
|c by Teodora-Liliana Radulescu, Vicentiu D. Radulescu, Titu Andreescu.
|h [electronic resource] :
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| 264 |
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1 |
|a New York, NY :
|b Springer New York,
|c 2009.
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| 300 |
# |
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|b online resource.
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| 336 |
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|a text
|b txt
|2 rdacontent
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| 337 |
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|a computer
|b c
|2 rdamedia
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| 338 |
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|a online resource
|b cr
|2 rdacarrier
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| 347 |
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|a text file
|b PDF
|2 rda
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| 505 |
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|a Part I: Sequences, Series, and Limits of Functions -- Sequences -- Series -- Limits of Functions -- Part II: Qualitative Properties of Continuous and Differentiable Functions -- Continuity -- Differentiability -- Part III: Applications to Convex Functions and Optimizatin -- Convex Functions -- Inequalities and Extremum Problems -- Part IV: Antiderivatives, Riemann Integrability, and Applications -- Antiderivatives -- Riemann Integrability -- Applications of the Integral Calculus -- Appendix A: Basic Elements of Set Theory -- Appendix B: Topology of the Real Line -- Glossary -- References -- Index.
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| 520 |
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|a 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.
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| 650 |
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0 |
|a Mathematics.
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| 650 |
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|a Global analysis (Mathematics).
|
| 650 |
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|a Differential Equations.
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| 650 |
1 |
4 |
|a Mathematics.
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| 650 |
2 |
4 |
|a Analysis.
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| 650 |
2 |
4 |
|a Ordinary Differential Equations.
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| 650 |
2 |
4 |
|a Applications of Mathematics.
|
| 700 |
1 |
# |
|a Radulescu, Vicentiu D.
|e author.
|
| 700 |
1 |
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|a Andreescu, Titu.
|e author.
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| 710 |
2 |
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|a SpringerLink (Online service)
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| 773 |
0 |
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|t Springer eBooks
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| 776 |
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8 |
|i Printed edition:
|z 9780387773780
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| 856 |
4 |
0 |
|u https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-0-387-77379-7
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| 912 |
# |
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|a ZDB-2-SMA
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| 950 |
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|a Mathematics and Statistics (Springer-11649)
|