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Real Analysis: Foundations / Sergei Ovchinnikov
| Real Analysis: Foundations / Sergei Ovchinnikov |
| Autore | Ovchinnikov, Sergei |
| Pubbl/distr/stampa | Cham, : Springer, 2021 |
| Descrizione fisica | xii, 178 p. : ill. ; 24 cm |
| Soggetto topico |
26-XX - Real functions [MSC 2020]
12J15 - Ordered fields [MSC 2020] |
| Soggetto non controllato |
Absolute convergence
Completeness axioms Continuous functions Convex functions real analysis Darboux integrals Dedekind's construction real numbers Infinite series Intermediate value theorem Ordered fields Real analysis Real analysis completeness Real analysis foundations Real analysis logic Real analysis ordered fields Real analysis rational numbers Riemann integrals |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN0275146 |
Ovchinnikov, Sergei
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| Cham, : Springer, 2021 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Real Analysis: Foundations / Sergei Ovchinnikov
| Real Analysis: Foundations / Sergei Ovchinnikov |
| Autore | Ovchinnikov, Sergei |
| Pubbl/distr/stampa | Cham, : Springer, 2021 |
| Descrizione fisica | xii, 178 p. : ill. ; 24 cm |
| Soggetto topico |
12J15 - Ordered fields [MSC 2020]
26-XX - Real functions [MSC 2020] |
| Soggetto non controllato |
Absolute Convergence
Completeness axioms Continuous functions Convex functions real analysis Darboux integrals Dedekind's construction real numbers Infinite series Intermediate value theorem Ordered fields Real analysis Real analysis completeness Real analysis ordered fields Real analysis rational numbers Riemann integrals |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN00275146 |
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Ovchinnikov, Sergei
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| Cham, : Springer, 2021 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Real Analytic and Algebraic Geometry : Proceedings of the Conference held in Trento, Italy, October 3-7, 1988 / M. Galbiati, A. Tognoli (eds.)
| Real Analytic and Algebraic Geometry : Proceedings of the Conference held in Trento, Italy, October 3-7, 1988 / M. Galbiati, A. Tognoli (eds.) |
| Pubbl/distr/stampa | Berlin, : Springer-Verlag, 1990 |
| Descrizione fisica | 366 p. : ill. ; 24 cm |
| Soggetto topico |
14Gxx - Arithmetic problems in algebraic geometry; Diophantine geometry [MSC 2020]
32B20 - emi-analytic sets, subanalytic sets, and generalizations [MSC 2020] 32Cxx - Analytic spaces [MSC 2020] 58A07 - Real-analytic and Nash manifolds [MSC 2020] 68-XX - Computer science [MSC 2020] |
| Soggetto non controllato |
Abelian Varieties
Algebraic Curves Algebraic Geometry Algebraic Varieties Dimension Real analysis |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN00287059 |
| Berlin, : Springer-Verlag, 1990 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Real mathematical analysis / Charles Chapman Pugh
| Real mathematical analysis / Charles Chapman Pugh |
| Autore | Pugh, Charles C. |
| Edizione | [2. ed] |
| Pubbl/distr/stampa | [Cham], : Springer, 2015 |
| Descrizione fisica | XI, 478 p. : ill. ; 24 cm |
| Soggetto topico | 26-XX - Real functions [MSC 2020] |
| Soggetto non controllato |
Brouwer fixed point theorem
Calculus Lebesgue Integral Mathematical analysis Multivariable calculus Nowhere differentiable continuous function Point-set topology Real analysis Real numbers Riemann integrals Uniform convergence |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0113506 |
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Pugh, Charles C.
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| [Cham], : Springer, 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Real mathematical analysis / Charles Chapman Pugh
| Real mathematical analysis / Charles Chapman Pugh |
| Autore | Pugh, Charles C. |
| Edizione | [2. ed] |
| Pubbl/distr/stampa | [Cham], : Springer, 2015 |
| Descrizione fisica | XI, 478 p. : ill. ; 24 cm |
| Soggetto topico | 26-XX - Real functions [MSC 2020] |
| Soggetto non controllato |
Brouwer fixed point theorem
Calculus Lebesgue integrals Mathematical analysis Multivariable calculus Nowhere differentiable continuous function Point-set topology Real analysis Real numbers Riemann integrals Uniform convergence |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Based on an honors course taught by the author at UC Berkeley, this introduction to undergraduate real analysis gives a different emphasis by stressing the importance of pictures and hard problems. Topics include: a natural construction of the real numbers, four-dimensional visualization, basic point-set topology, function spaces, multivariable calculus via differential forms (leading to a simple proof of the Brouwer Fixed Point Theorem), and a pictorial treatment of Lebesgue theory. Over 150 detailed illustrations elucidate abstract concepts and salient points in proofs. The exposition is informal and relaxed, with many helpful asides, examples, some jokes, and occasional comments from mathematicians, such as Littlewood, Dieudonné, and Osserman. This book thus succeeds in being more comprehensive, more comprehensible, and more enjoyable, than standard introductions to analysis. New to the second edition of Real Mathematical Analysis is a presentation of Lebesgue integration done almost entirely using the undergraph approach of Burkill. Payoffs include: concise picture proofs of the Monotone and Dominated Convergence Theorems, a one-line/one-picture proof of Fubini's theorem from Cavalieri’s Principle, and, in many cases, the ability to see an integral result from measure theory. The presentation includes Vitali’s Covering Lemma, density points — which are rarely treated in books at this level — and the almost everywhere differentiability of monotone functions. Several new exercises now join a collection of over 500 exercises that pose interesting challenges and introduce special topics to the student keen on mastering this beautiful subject. |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN00113506 |
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Pugh, Charles C.
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| [Cham], : Springer, 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Real mathematical analysis / Charles Chapman Pugh
| Real mathematical analysis / Charles Chapman Pugh |
| Autore | Pugh, Charles C. |
| Pubbl/distr/stampa | New York, : Springer, 2002 |
| Descrizione fisica | XI, 437 p. : ill. ; 24 cm |
| Soggetto topico |
46-XX - Functional analysis [MSC 2020]
26-XX - Real functions [MSC 2020] 28-XX - Measure and integration [MSC 2020] |
| Soggetto non controllato |
Calculus
Integral Mathematical analysis Real Mathematical Analysis Real analysis Real numbers |
| ISBN | 03-87952-97-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0056988 |
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Pugh, Charles C.
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| New York, : Springer, 2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Real mathematical analysis / Charles Chapman Pugh
| Real mathematical analysis / Charles Chapman Pugh |
| Autore | Pugh, Charles C. |
| Pubbl/distr/stampa | New York, : Springer, 2002 |
| Descrizione fisica | XI, 437 p. : ill. ; 24 cm |
| Soggetto topico |
26-XX - Real functions [MSC 2020]
28-XX - Measure and integration [MSC 2020] 46-XX - Functional analysis [MSC 2020] |
| Soggetto non controllato |
Calculus
Integral Mathematical analysis Real Mathematical Analysis Real analysis Real numbers |
| ISBN | 03-87952-97-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN00056988 |
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Pugh, Charles C.
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| New York, : Springer, 2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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The real and the complex: a history of analysis in the 19. century / Jeremy Gray
| The real and the complex: a history of analysis in the 19. century / Jeremy Gray |
| Autore | Gray, Jeremy J. |
| Pubbl/distr/stampa | [Cham], : Springer, 2015 |
| Descrizione fisica | XVI, 350 p. : ill. ; 24 cm |
| Soggetto topico |
26-XX - Real functions [MSC 2020]
30-XX - Functions of a complex variable [MSC 2020] 01A55 - History of mathematics in the 19th century [MSC 2020] |
| Soggetto non controllato |
Complex Analysis
Continuity Differentiation History of mathematics Integration Real analysis |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0113829 |
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Gray, Jeremy J.
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| [Cham], : Springer, 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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The real and the complex: a history of analysis in the 19. century / Jeremy Gray
| The real and the complex: a history of analysis in the 19. century / Jeremy Gray |
| Autore | Gray, Jeremy J. |
| Pubbl/distr/stampa | [Cham], : Springer, 2015 |
| Descrizione fisica | XVI, 350 p. : ill. ; 24 cm |
| Soggetto topico |
01A55 - History of mathematics in the 19th century [MSC 2020]
26-XX - Real functions [MSC 2020] 30-XX - Functions of a complex variable [MSC 2020] |
| Soggetto non controllato |
Complex Analysis
Continuity Differentiation History of mathematics Integrations Real analysis |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN00113829 |
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Gray, Jeremy J.
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| [Cham], : Springer, 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Total Positivity and Its Applications / edited by Mariano Gasca and Charles A. Micchelli
| Total Positivity and Its Applications / edited by Mariano Gasca and Charles A. Micchelli |
| Pubbl/distr/stampa | Dordrecht, : Springer, : Kluwer, 1996 |
| Descrizione fisica | x, 518 p. ; 24 cm |
| Soggetto topico |
00B25 - Proceedings of conferences of miscellaneous specific interest [MSC 2020]
60-XX - Probability theory and stochastic processes [MSC 2020] 62-XX - Statistics [MSC 2020] |
| Soggetto non controllato |
Combinatorics
Interpolations Matrix Matrix theory Numerical quadrature Real analysis Vertex |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN00296455 |
| Dordrecht, : Springer, : Kluwer, 1996 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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