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A concise introduction to analysis / Daniel W. Stroock
| A concise introduction to analysis / Daniel W. Stroock |
| Autore | Stroock, Daniel W. |
| Pubbl/distr/stampa | [Cham], : Springer, 2015 |
| Descrizione fisica | XII, 218 p. ; 24 cm |
| Soggetto topico |
26-XX - Real functions [MSC 2020]
26B15 - Integration of real functions of several variables: length, area, volume [MSC 2020] 26A06 - One-variable calculus [MSC 2020] 26A24 - Differentiation (real functions of one variable): general theory, generalized derivatives, mean-value theorems [MSC 2020] 26B05 - Continuity and differentiation questions [MSC 2020] 30Axx - General properties of functions of one complex variable [MSC 2020] |
| Soggetto non controllato |
Advanced Calculus
Analytic Function Theory Analytic functions Cauchy's Formula Cauchy's Integral Formula Divergence Theorem Fubini's Theorem Mathematical analysis Polar Coordinates Real analysis Riemann Integration Theory |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0113852 |
Stroock, Daniel W.
|
||
| [Cham], : Springer, 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
A concise introduction to analysis / Daniel W. Stroock
| A concise introduction to analysis / Daniel W. Stroock |
| Autore | Stroock, Daniel W. |
| Pubbl/distr/stampa | [Cham], : Springer, 2015 |
| Descrizione fisica | XII, 218 p. ; 24 cm |
| Soggetto topico |
26-XX - Real functions [MSC 2020]
26A06 - One-variable calculus [MSC 2020] 26A24 - Differentiation (real functions of one variable): general theory, generalized derivatives, mean-value theorems [MSC 2020] 26B05 - Continuity and differentiation questions [MSC 2020] 26B15 - Integration of real functions of several variables: length, area, volume [MSC 2020] 30Axx - General properties of functions of one complex variable [MSC 2020] |
| Soggetto non controllato |
Advanced Calculus
Analytic Function Theory Analytic functions Cauchy's Formula Cauchy's Integral Formula Divergence Theorem Fubini's Theorem Mathematical analysis Polar Coordinates Real analysis Riemann Integration Theory |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | This book provides an introduction to the basic ideas and tools used in mathematical analysis. It is a hybrid cross between an advanced calculus and a more advanced analysis text and covers topics in both real and complex variables. Considerable space is given to developing Riemann integration theory in higher dimensions, including a rigorous treatment of Fubini's theorem, polar coordinates and the divergence theorem. These are used in the final chapter to derive Cauchy's formula, which is then applied to prove some of the basic properties of analytic functions. Among the unusual features of this book is the treatment of analytic function theory as an application of ideas and results in real analysis. For instance, Cauchy's integral formula for analytic functions is derived as an application of the divergence theorem. The last section of each chapter is devoted to exercises that should be viewed as an integral part of the text. A Concise Introduction to Analysis should appeal to upper level undergraduate mathematics students, graduate students in fields where mathematics is used, as well as to those wishing to supplement their mathematical education on their own. Wherever possible, an attempt has been made to give interesting examples that demonstrate how the ideas are used and why it is important to have a rigorous grasp of them. |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN00113852 |
|
Stroock, Daniel W.
|
||
| [Cham], : Springer, 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
A concise introduction to analysis / Daniel W. Stroock
| A concise introduction to analysis / Daniel W. Stroock |
| Autore | Stroock, Daniel W. |
| Edizione | [[Cham] : Springer, 2015] |
| Descrizione fisica | Pubblicazione in formato elettronico |
| Soggetto topico |
26-XX - Real functions [MSC 2020]
26B15 - Integration of real functions of several variables: length, area, volume [MSC 2020] 26A06 - One-variable calculus [MSC 2020] 26A24 - Differentiation (real functions of one variable): general theory, generalized derivatives, mean-value theorems [MSC 2020] 26B05 - Continuity and differentiation questions [MSC 2020] 30Axx - General properties of functions of one complex variable [MSC 2020] |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-SUN0113852 |
|
Stroock, Daniel W.
|
||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Application of holomorphic functions in two and higher dimensions / Klaus Gürlebeck, Klaus Habetha, Wolfgang Sprößig
| Application of holomorphic functions in two and higher dimensions / Klaus Gürlebeck, Klaus Habetha, Wolfgang Sprößig |
| Autore | Gürlebeck, Klaus |
| Pubbl/distr/stampa | [Basel], : Birkhäuser, : Springer, 2016 |
| Descrizione fisica | XV, 390 p. : ill. ; 24 cm |
| Altri autori (Persone) |
Habetha, Klaus
Sprößig, Wolfgang |
| Soggetto topico |
76-XX - Fluid mechanics [MSC 2020]
35Kxx - Parabolic equations and parabolic systems [MSC 2020] 43-XX - Abstract harmonic analysis [MSC 2020] 30Cxx - Geometric function theory [MSC 2020] 78-XX - Optics, electromagnetic theory [MSC 2020] 33Cxx - Hypergeometric functions [MSC 2020] 35Jxx - Elliptic equations and elliptic systems [MSC 2020] 35Cxx - Representations of solutions to partial differential equations [MSC 2020] 74Bxx - Elastic materials [MSC 2020] 35Fxx - General first-order partial differential equations and systems of first-order partial differential equations [MSC 2020] 62Pxx - Applications of statistics [MSC 2020] 30Axx - General properties of functions of one complex variable [MSC 2020] 30Gxx - Generalized function theory [MSC 2020] |
| Soggetto non controllato |
Hypercomplex numbers
Hypercomplex versions of Fourier transforms Initial boundary value problems Partial differential equations Quaternionic anaylsis Quaternionic operator calculus |
| ISBN | 978-30-348-0964-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0114435 |
|
Gürlebeck, Klaus
|
||
| [Basel], : Birkhäuser, : Springer, 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Application of holomorphic functions in two and higher dimensions / Klaus Gürlebeck, Klaus Habetha, Wolfgang Sprößig
| Application of holomorphic functions in two and higher dimensions / Klaus Gürlebeck, Klaus Habetha, Wolfgang Sprößig |
| Autore | Gürlebeck, Klaus |
| Pubbl/distr/stampa | [Basel], : Birkhäuser, : Springer, 2016 |
| Descrizione fisica | XV, 390 p. : ill. ; 24 cm |
| Altri autori (Persone) |
Habetha, Klaus
Sprößig, Wolfgang |
| Soggetto topico |
30Axx - General properties of functions of one complex variable [MSC 2020]
30Cxx - Geometric function theory [MSC 2020] 30Gxx - Generalized function theory [MSC 2020] 33Cxx - Hypergeometric functions [MSC 2020] 35Cxx - Representations of solutions to partial differential equations [MSC 2020] 35Fxx - General first-order partial differential equations and systems of first-order partial differential equations [MSC 2020] 35Jxx - Elliptic equations and elliptic systems [MSC 2020] 35Kxx - Parabolic equations and parabolic systems [MSC 2020] 43-XX - Abstract harmonic analysis [MSC 2020] 62Pxx - Applications of statistics [MSC 2020] 74Bxx - Elastic materials [MSC 2020] 76-XX - Fluid mechanics [MSC 2020] 78-XX - Optics, electromagnetic theory [MSC 2020] |
| Soggetto non controllato |
Hypercomplex numbers
Hypercomplex versions of Fourier transforms Initial boundary value problems Partial Differential Equations Quaternionic anaylsis Quaternionic operator calculus |
| ISBN | 978-30-348-0964-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN00114435 |
|
Gürlebeck, Klaus
|
||
| [Basel], : Birkhäuser, : Springer, 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Application of holomorphic functions in two and higher dimensions / Klaus Gürlebeck, Klaus Habetha, Wolfgang Sprößig
| Application of holomorphic functions in two and higher dimensions / Klaus Gürlebeck, Klaus Habetha, Wolfgang Sprößig |
| Autore | Gürlebeck, Klaus |
| Edizione | [[Basel] : Birkhäuser : Springer, 2016] |
| Pubbl/distr/stampa | XV, 390 p., : ill. ; 24 cm |
| Descrizione fisica | Pubblicazione in formato elettronico |
| Altri autori (Persone) |
Sprößig, Wolfgang
Habetha, Klaus |
| Soggetto topico |
76-XX - Fluid mechanics [MSC 2020]
35Kxx - Parabolic equations and parabolic systems [MSC 2020] 43-XX - Abstract harmonic analysis [MSC 2020] 30Cxx - Geometric function theory [MSC 2020] 78-XX - Optics, electromagnetic theory [MSC 2020] 33Cxx - Hypergeometric functions [MSC 2020] 35Jxx - Elliptic equations and elliptic systems [MSC 2020] 35Cxx - Representations of solutions to partial differential equations [MSC 2020] 74Bxx - Elastic materials [MSC 2020] 35Fxx - General first-order partial differential equations and systems of first-order partial differential equations [MSC 2020] 62Pxx - Applications of statistics [MSC 2020] 30Axx - General properties of functions of one complex variable [MSC 2020] 30Gxx - Generalized function theory [MSC 2020] |
| ISBN | 8-3-0348-0964-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-SUN0114435 |
|
Gürlebeck, Klaus
|
||
| XV, 390 p., : ill. ; 24 cm | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Combinatorics and complexity of partition functions / Alexander Barvinok
| Combinatorics and complexity of partition functions / Alexander Barvinok |
| Autore | Barvinok, Alexander |
| Pubbl/distr/stampa | [Cham], : Springer, 2016 |
| Descrizione fisica | VI, 303 p. : ill. ; 24 cm |
| Soggetto topico |
90C25 - Convex programming [MSC 2020]
60Cxx - Combinatorial probability [MSC 2020] 37A60 - Dynamical aspects of statistical mechanics [MSC 2020] 05A16 - Asymptotic enumeration [MSC 2020] 41A05 - Interpolation in approximation theory [MSC 2020] 30C15 - Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral [MSC 2020] 30E10 - Approximation in the complex plane [MSC 2020] 37E05 - Dynamical systems involving maps of the interval (piecewise continuous, continuous, smooth) [MSC 2020] 05C50 - Graphs and linear algebra (matrices, eigenvalues, etc.) [MSC 2020] 41A10 - Approximation by polynomials [MSC 2020] 05A05 - Permutations, words, matrices [MSC 2020] 05C65 - Hypergraphs [MSC 2020] 68R05 - Combinatorics in computer science [MSC 2020] 05C70 - Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) [MSC 2020] 15A69 - Multilinear algebra, tensor calculus [MSC 2020] 15A15 - Determinants, permanents, other special matrix functions [MSC 2020] 30Axx - General properties of functions of one complex variable [MSC 2020] 90C27 - Combinatorial optimization [MSC 2020] |
| Soggetto non controllato |
Algorithmic complexity
Algorithms Combinatorics Complexity Correlation decay Graph homomorphism Independence polynomial Integer flow Interpolation Mathing polynomial Partition function Permanent Scaling Stable polynomials |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0114529 |
|
Barvinok, Alexander
|
||
| [Cham], : Springer, 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Combinatorics and complexity of partition functions / Alexander Barvinok
| Combinatorics and complexity of partition functions / Alexander Barvinok |
| Autore | Barvinok, Alexander |
| Pubbl/distr/stampa | [Cham], : Springer, 2016 |
| Descrizione fisica | VI, 303 p. : ill. ; 24 cm |
| Soggetto topico |
05A05 - Permutations, words, matrices [MSC 2020]
05A16 - Asymptotic enumeration [MSC 2020] 05C50 - Graphs and linear algebra (matrices, eigenvalues, etc.) [MSC 2020] 05C65 - Hypergraphs [MSC 2020] 05C70 - Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) [MSC 2020] 15A15 - Determinants, permanents, other special matrix functions [MSC 2020] 15A69 - Multilinear algebra, tensor calculus [MSC 2020] 30Axx - General properties of functions of one complex variable [MSC 2020] 30C15 - Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral [MSC 2020] 30E10 - Approximation in the complex plane [MSC 2020] 37A60 - Dynamical aspects of statistical mechanics [MSC 2020] 37E05 - Dynamical systems involving maps of the interval (piecewise continuous, continuous, smooth) [MSC 2020] 41A05 - Interpolation in approximation theory [MSC 2020] 41A10 - Approximation by polynomials [MSC 2020] 60Cxx - Combinatorial probability [MSC 2020] 68R05 - Combinatorics in computer science [MSC 2020] 90C25 - Convex programming [MSC 2020] 90C27 - Combinatorial optimization [MSC 2020] |
| Soggetto non controllato |
Algorithmic complexity
Algorithms Combinatorics Complexity Correlation decay Graph homomorphism Independence polynomial Integer flow Interpolations Mathing polynomial Partition function Permanent Scaling Stable polynomials |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN00114529 |
|
Barvinok, Alexander
|
||
| [Cham], : Springer, 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Combinatorics and complexity of partition functions / Alexander Barvinok
| Combinatorics and complexity of partition functions / Alexander Barvinok |
| Autore | Barvinok, Alexander |
| Edizione | [[Cham] : Springer, 2016] |
| Pubbl/distr/stampa | VI, 303 p., : ill. ; 24 cm |
| Descrizione fisica | Pubblicazione in formato elettronico |
| Soggetto topico |
90C25 - Convex programming [MSC 2020]
60Cxx - Combinatorial probability [MSC 2020] 37A60 - Dynamical aspects of statistical mechanics [MSC 2020] 05A16 - Asymptotic enumeration [MSC 2020] 41A05 - Interpolation in approximation theory [MSC 2020] 30C15 - Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral [MSC 2020] 30E10 - Approximation in the complex plane [MSC 2020] 37E05 - Dynamical systems involving maps of the interval (piecewise continuous, continuous, smooth) [MSC 2020] 05C50 - Graphs and linear algebra (matrices, eigenvalues, etc.) [MSC 2020] 41A10 - Approximation by polynomials [MSC 2020] 05A05 - Permutations, words, matrices [MSC 2020] 05C65 - Hypergraphs [MSC 2020] 68R05 - Combinatorics in computer science [MSC 2020] 05C70 - Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) [MSC 2020] 15A69 - Multilinear algebra, tensor calculus [MSC 2020] 15A15 - Determinants, permanents, other special matrix functions [MSC 2020] 30Axx - General properties of functions of one complex variable [MSC 2020] 90C27 - Combinatorial optimization [MSC 2020] |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-SUN0114529 |
|
Barvinok, Alexander
|
||
| VI, 303 p., : ill. ; 24 cm | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Complex Analysis / Andrei Bourchtein, Ludmila Bourchtein
| Complex Analysis / Andrei Bourchtein, Ludmila Bourchtein |
| Autore | Bourchtein, Andrei |
| Pubbl/distr/stampa | Singapore, : Springer ; New Delhi, : Hindustan, 2021 |
| Descrizione fisica | xiii, 346 p. : ill. ; 24 cm |
| Altri autori (Persone) | Bourchtein, Ludmila |
| Soggetto topico |
30-XX - Functions of a complex variable [MSC 2020]
30Cxx - Geometric function theory [MSC 2020] 30Dxx - Entire and meromorphic functions of one complex variable, and related topics [MSC 2020] 30Bxx - Series expansions of functions of one complex variable [MSC 2020] 30Axx - General properties of functions of one complex variable [MSC 2020] |
| Soggetto non controllato |
Analysis
Analytic functions Cauchy’s Theorem Complex Analysis Conformal mappings Goursat’s Theorem Joukowski Function Laurent Series Polygons Singular Points |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN0275425 |
|
Bourchtein, Andrei
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| Singapore, : Springer ; New Delhi, : Hindustan, 2021 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Soggetto topico
-
30Axx - General properties of functions of one complex variable [MSC 2020]
(32)
- 30-XX - Functions of a complex variable [MSC 2020] (17)
- 30Cxx - Geometric function theory [MSC 2020] (10)
- 30Dxx - Entire and meromorphic functions of one complex variable, and related topics [MSC 2020] (9)
- 00A05 - Mathematics in general [MSC 2020] (6)