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A first course in real analysis / Murray H. Protter, Charles B. Morrey, Jr
| A first course in real analysis / Murray H. Protter, Charles B. Morrey, Jr |
| Autore | Protter, Murray H. |
| Pubbl/distr/stampa | New York, : Springer, 1977 |
| Descrizione fisica | xii, 507 p. : ill. ; 25 cm |
| Altri autori (Persone) | Morrey, Charles B. |
| Soggetto topico |
26-XX - Real functions [MSC 2020]
26A45 - Functions of bounded variation, generalizations [MSC 2020] 26B12 - Calculus of vector functions [MSC 2020] 26A15 - Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable [MSC 2020] 26B05 - Continuity and differentiation questions [MSC 2020] |
| Soggetto non controllato |
Analysis
Boundary Element Methods Calculus Differential calculus Imprint Integral calculus Mathematics Problem Solving Proving Real analysis Real numbers Systems Theorem proving |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN0268048 |
Protter, Murray H.
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| New York, : Springer, 1977 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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A first course in real analysis / Murray H. Protter, Charles B. Morrey, Jr
| A first course in real analysis / Murray H. Protter, Charles B. Morrey, Jr |
| Autore | Protter, Murray H. |
| Pubbl/distr/stampa | New York, : Springer-Verlag, 1977 |
| Descrizione fisica | xii, 507 p. : ill. ; 25 cm |
| Altri autori (Persone) | Morrey, Charles B., jr. |
| Soggetto topico |
26-XX - Real functions [MSC 2020]
26A15 - Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable [MSC 2020] 26A45 - Functions of bounded variation, generalizations [MSC 2020] 26B05 - Continuity and differentiation questions [MSC 2020] 26B12 - Calculus of vector functions [MSC 2020] |
| Soggetto non controllato |
Analysis
Boundary Element Methods Calculus Differential Calculus Imprint Integral calculus Mathematics Problem Solving Proving Real analysis Real numbers Systems Theorem proving |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | The first course in analysis which follows elementary calculus is a critical one for students who are seriously interested in mathematics. Traditional advanced calculus was precisely what its name indicates-a course with topics in calculus emphasizing problem solving rather than theory. As a result students were often given a misleading impression of what mathematics is all about; on the other hand the current approach, with its emphasis on theory, gives the student insight in the fundamentals of analysis. In A First Course in Real Analysis we present a theoretical basis of analysis which is suitable for students who have just completed a course in elementary calculus. Since the sixteen chapters contain more than enough analysis for a one year course, the instructor teaching a one or two quarter or a one semester junior level course should easily find those topics which he or she thinks students should have. The first Chapter, on the real number system, serves two purposes. Because most students entering this course have had no experience in devising proofs of theorems, it provides an opportunity to develop facility in theorem proving. Although the elementary processes of numbers are familiar to most students, greater understanding of these processes is acquired by those who work the problems in Chapter 1. As a second purpose, we provide, for those instructors who wish to give a comprehen sive course in analysis, a fairly complete treatment of the real number system including a section on mathematical induction. |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN00268048 |
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Protter, Murray H.
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| New York, : Springer-Verlag, 1977 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
A first course in Sobolev spaces / Giovanni Leoni
| A first course in Sobolev spaces / Giovanni Leoni |
| Autore | Leoni, Giovanni <1967- > |
| Edizione | [2. ed] |
| Pubbl/distr/stampa | Providence, : American mathematical society, 2017 |
| Descrizione fisica | XXII, 734 p. ; 26 cm. |
| Soggetto topico |
46E35 - Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems [MSC 2020]
26A46 - Absolutely continuous real functions in one variable [MSC 2020] 26A45 - Functions of bounded variation, generalizations [MSC 2020] 26A30 - Singular functions, Cantor functions, functions with other special properties [MSC 2020] 26A48 - Monotonic functions, generalizations [MSC 2020] 26A42 - Integrals of Riemann, Stieltjes and Lebesgue type [MSC 2020] 26A27 - Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives [MSC 2020] 26B30 - Absolutely continuous real functions of several variables, functions of bounded variation [MSC 2020] 30H25 - Besov spaces and $Q_p$-spaces [MSC 2020] |
| ISBN | 978-14-7042-921-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-SUN0118293 |
|
Leoni, Giovanni <1967- >
|
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| Providence, : American mathematical society, 2017 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
A first course in Sobolev spaces / Giovanni Leoni
| A first course in Sobolev spaces / Giovanni Leoni |
| Autore | Leoni, Giovanni <1967- > |
| Edizione | [2. ed] |
| Pubbl/distr/stampa | Providence, : American mathematical society, 2017 |
| Descrizione fisica | XXII, 734 p. ; 26 cm |
| Soggetto topico |
46E35 - Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems [MSC 2020]
26A46 - Absolutely continuous real functions in one variable [MSC 2020] 26A45 - Functions of bounded variation, generalizations [MSC 2020] 26A30 - Singular functions, Cantor functions, functions with other special properties [MSC 2020] 26A48 - Monotonic functions, generalizations [MSC 2020] 26A42 - Integrals of Riemann, Stieltjes and Lebesgue type [MSC 2020] 26A27 - Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives [MSC 2020] 26B30 - Absolutely continuous real functions of several variables, functions of bounded variation [MSC 2020] 30H25 - Besov spaces and $Q_p$-spaces [MSC 2020] |
| ISBN | 978-14-7042-921-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN0118293 |
|
Leoni, Giovanni <1967- >
|
||
| Providence, : American mathematical society, 2017 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
A first course in Sobolev spaces / Giovanni Leoni
| A first course in Sobolev spaces / Giovanni Leoni |
| Autore | Leoni, Giovanni, matematico |
| Edizione | [2. ed] |
| Pubbl/distr/stampa | Providence, : American mathematical society, 2017 |
| Descrizione fisica | XXII, 734 p. ; 26 cm |
| Soggetto topico |
26A27 - Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives [MSC 2020]
26A30 - Singular functions, Cantor functions, functions with other special properties [MSC 2020] 26A42 - Integrals of Riemann, Stieltjes and Lebesgue type [MSC 2020] 26A45 - Functions of bounded variation, generalizations [MSC 2020] 26A46 - Absolutely continuous real functions in one variable [MSC 2020] 26A48 - Monotonic functions, generalizations [MSC 2020] 26B30 - Absolutely continuous real functions of several variables, functions of bounded variation [MSC 2020] 30H25 - Besov spaces and $Q_p$-spaces [MSC 2020] 46E35 - Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems [MSC 2020] |
| ISBN | 978-14-7042-921-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN00118293 |
|
Leoni, Giovanni, matematico
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||
| Providence, : American mathematical society, 2017 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
A first course in Sobolev spaces / Giovanni Leoni
| A first course in Sobolev spaces / Giovanni Leoni |
| Autore | Leoni, Giovanni <1967- > |
| Pubbl/distr/stampa | Providence, : American mathematical society, 2009 |
| Descrizione fisica | XVI, 607 p. ; 26 cm. |
| Soggetto topico |
46E35 - Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems [MSC 2020]
26A46 - Absolutely continuous real functions in one variable [MSC 2020] 26A45 - Functions of bounded variation, generalizations [MSC 2020] 26A30 - Singular functions, Cantor functions, functions with other special properties [MSC 2020] 26A48 - Monotonic functions, generalizations [MSC 2020] 26A24 - Differentiation (real functions of one variable): general theory, generalized derivatives, mean-value theorems [MSC 2020] 26A42 - Integrals of Riemann, Stieltjes and Lebesgue type [MSC 2020] 26A27 - Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives [MSC 2020] 26B30 - Absolutely continuous real functions of several variables, functions of bounded variation [MSC 2020] |
| ISBN | 978-08-218-4768-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-SUN0101344 |
|
Leoni, Giovanni <1967- >
|
||
| Providence, : American mathematical society, 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
A first course in Sobolev spaces / Giovanni Leoni
| A first course in Sobolev spaces / Giovanni Leoni |
| Autore | Leoni, Giovanni <1967- > |
| Pubbl/distr/stampa | Providence, : American mathematical society, 2009 |
| Descrizione fisica | XVI, 607 p. ; 26 cm. |
| Soggetto topico |
46E35 - Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems [MSC 2020]
26A46 - Absolutely continuous real functions in one variable [MSC 2020] 26A45 - Functions of bounded variation, generalizations [MSC 2020] 26A30 - Singular functions, Cantor functions, functions with other special properties [MSC 2020] 26A48 - Monotonic functions, generalizations [MSC 2020] 26A24 - Differentiation (real functions of one variable): general theory, generalized derivatives, mean-value theorems [MSC 2020] 26A42 - Integrals of Riemann, Stieltjes and Lebesgue type [MSC 2020] 26A27 - Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives [MSC 2020] 26B30 - Absolutely continuous real functions of several variables, functions of bounded variation [MSC 2020] |
| ISBN | 978-08-218-4768-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISOB-VAN0101344 |
|
Leoni, Giovanni <1967- >
|
||
| Providence, : American mathematical society, 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Suor Orsola Benincasa | ||
| ||
A first course in Sobolev spaces / Giovanni Leoni
| A first course in Sobolev spaces / Giovanni Leoni |
| Autore | Leoni, Giovanni <1967- > |
| Pubbl/distr/stampa | Providence, : American mathematical society, 2009 |
| Descrizione fisica | XVI, 607 p. ; 26 cm |
| Soggetto topico |
46E35 - Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems [MSC 2020]
26A46 - Absolutely continuous real functions in one variable [MSC 2020] 26A45 - Functions of bounded variation, generalizations [MSC 2020] 26A30 - Singular functions, Cantor functions, functions with other special properties [MSC 2020] 26A48 - Monotonic functions, generalizations [MSC 2020] 26A24 - Differentiation (real functions of one variable): general theory, generalized derivatives, mean-value theorems [MSC 2020] 26A42 - Integrals of Riemann, Stieltjes and Lebesgue type [MSC 2020] 26A27 - Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives [MSC 2020] 26B30 - Absolutely continuous real functions of several variables, functions of bounded variation [MSC 2020] |
| ISBN | 978-08-218-4768-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN0101344 |
|
Leoni, Giovanni <1967- >
|
||
| Providence, : American mathematical society, 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
A first course in Sobolev spaces / Giovanni Leoni
| A first course in Sobolev spaces / Giovanni Leoni |
| Autore | Leoni, Giovanni, matematico |
| Pubbl/distr/stampa | Providence, : American mathematical society, 2009 |
| Descrizione fisica | XVI, 607 p. ; 26 cm |
| Soggetto topico |
26A24 - Differentiation (real functions of one variable): general theory, generalized derivatives, mean-value theorems [MSC 2020]
26A27 - Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives [MSC 2020] 26A30 - Singular functions, Cantor functions, functions with other special properties [MSC 2020] 26A42 - Integrals of Riemann, Stieltjes and Lebesgue type [MSC 2020] 26A45 - Functions of bounded variation, generalizations [MSC 2020] 26A46 - Absolutely continuous real functions in one variable [MSC 2020] 26A48 - Monotonic functions, generalizations [MSC 2020] 26B30 - Absolutely continuous real functions of several variables, functions of bounded variation [MSC 2020] 46E35 - Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems [MSC 2020] |
| ISBN | 978-08-218-4768-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN00101344 |
|
Leoni, Giovanni, matematico
|
||
| Providence, : American mathematical society, 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Bounded variation and around / Jürgen Appell, Józef Banaś, Nelson Merentes
| Bounded variation and around / Jürgen Appell, Józef Banaś, Nelson Merentes |
| Autore | Appell, Jürgen |
| Pubbl/distr/stampa | Berlin ; Boston, : de Gruyter, 2014 |
| Descrizione fisica | X, 476 p. ; 25 cm. |
| Altri autori (Persone) |
Banaś, Józef
Merentes, Nelson |
| Soggetto topico |
26A45 - Functions of bounded variation, generalizations [MSC 2020]
47H30 - Particular nonlinear operators (superposition, Hammerstein, Nemytskiĭ, Uryson, etc.) [MSC 2020] |
| ISBN | 978-31-10-26507-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-SUN0101377 |
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Appell, Jürgen
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| Berlin ; Boston, : de Gruyter, 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Soggetto topico
-
26A45 - Functions of bounded variation, generalizations [MSC 2020]
(29)
- 26A46 - Absolutely continuous real functions in one variable [MSC 2020] (10)
- 26A27 - Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives [MSC 2020] (9)
- 26A30 - Singular functions, Cantor functions, functions with other special properties [MSC 2020] (9)
- 26A42 - Integrals of Riemann, Stieltjes and Lebesgue type [MSC 2020] (9)