| Item type | Current location | Collection | Call number | Copy number | Status | Date due | Barcode |
|---|---|---|---|---|---|---|---|
| E-Books | Biblioteca da FCTUNL Online | Não Ficção | QA403.5.SPR. FCT 97489 (Browse shelf) | 1 | Available |
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| QH323.5.SPR. FCT 97459 Mathematics of epidemics on networks | TA342-343. FCT 97485 Active particles | QA331.7.SPR. FCT 97487 New trends in analysis and interdisciplinary applications | QA403.5.SPR. FCT 97489 Essential real analysis | QA8.4.SPR. FCT 97493 Humanizing mathematics and its philosophy | QA155.SPR. FCT 97683 Algebra 1 | QA155.SPR. FCT 97694 Esercizi scelti di Algebra |
Colocação: Online
This book provides a rigorous introduction to the techniques and results of real analysis, metric spaces and multivariate differentiation, suitable for undergraduate courses. Starting from the very foundations of analysis, it offers a complete first course in real analysis, including topics rarely found in such detail in an undergraduate textbook such as the construction of non-analytic smooth functions, applications of the Euler-Maclaurin formula to estimates, and fractal geometry. Drawing on the author’s extensive teaching and research experience, the exposition is guided by carefully chosen examples and counter-examples, with the emphasis placed on the key ideas underlying the theory. Much of the content is informed by its applicability: Fourier analysis is developed to the point where it can be rigorously applied to partial differential equations or computation, and the theory of metric spaces includes applications to ordinary differential equations and fractals. Essential Real Analysis will appeal to students in pure and applied mathematics, as well as scientists looking to acquire a firm footing in mathematical analysis. Numerous exercises of varying difficulty, including some suitable for group work or class discussion, make this book suitable for self-study as well as lecture courses.
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