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Complex analysis : a modern first course in function theory / / Jerry R. Muir, Jr
| Complex analysis : a modern first course in function theory / / Jerry R. Muir, Jr |
| Autore | Muir Jerry R. <1973-> |
| Pubbl/distr/stampa | Hoboken, New Jersey : , : Wiley, , 2015 |
| Descrizione fisica | 1 online resource (609 p.) |
| Disciplina | 515 |
| Soggetto topico |
Geometric function theory
Numbers, Complex |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-118-70527-0
1-118-95639-7 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover; Table of Contents; Title Page; Copyright; Dedication; Preface; Chapter 1: The Complex Numbers; 1.1 Why?; 1.2 The Algebra of Complex Numbers; 1.3 The Geometry of the Complex Plane; 1.4 The Topology of the Complex Plane; 1.5 The Extended Complex Plane; 1.6 Complex Sequences; 1.7 Complex Series; Chapter 2: Complex Functions and Mappings; 2.1 Continuous Functions; 2.2 Uniform Convergence; 2.3 Power Series; 2.4 Elementary Functions and Euler's Formula; 2.5 Continuous Functions as Mappings; 2.6 Linear Fractional Transformations; 2.7 Derivatives; 2.8 The Calculus of Real-Variable Functions
2.9 Contour Integrals Chapter 3: Analytic Functions; 3.1 The Principle of Analyticity; 3.2 Differentiable Functions are Analytic; 3.3 Consequences of Goursat's Theorem; 3.4 The Zeros of Analytic Functions; 3.5 The Open Mapping Theorem and Maximum Principle; 3.6 The Cauchy-Riemann Equations; 3.7 Conformal Mapping and Local Univalence; Chapter 4: Cauchy's Integral Theory; 4.1 The Index of a Closed Contour; 4.2 The Cauchy Integral Formula; 4.3 Cauchy's Theorem; Chapter 5: The Residue Theorem; 5.1 Laurent Series; 5.2 Classification of Singularities; 5.3 Residues; 5.4 Evaluation of Real Integrals 5.5 The Laplace Transform Chapter 6: Harmonic Functions and Fourier Series; 6.1 Harmonic Functions; 6.2 The Poisson Integral Formula; 6.3 Further Connections to Analytic Functions; 6.4 Fourier Series; Epilogue; Local Uniform Convergence; Harnack's Theorem; Results for Simply Connected Domains; The Riemann Mapping Theorem; Appendix A: Sets and Functions; Sets and Elements; Functions; Appendix B: Topics from Advanced Calculus; The Supremum and Infimum; Uniform Continuity; The Cauchy Product; Leibniz's Rule; References; Index; End User License Agreement |
| Record Nr. | UNINA-9910460278103321 |
Muir Jerry R. <1973->
|
||
| Hoboken, New Jersey : , : Wiley, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Complex Analysis : A Modern First Course in Function Theory
| Complex Analysis : A Modern First Course in Function Theory |
| Autore | Muir Jerry R |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | New York : , : John Wiley & Sons, Incorporated, , 2015 |
| Descrizione fisica | 1 online resource (277 pages) |
| Disciplina | 515 |
| Altri autori (Persone) | MuirJerry R., Jr |
| Soggetto topico |
Geometric function theory
Geometry Numbers, Complex |
| Soggetto genere / forma | Electronic books. |
| ISBN |
9781118705278
9781118705223 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Title Page -- Copyright -- Table of Contents -- Dedication -- Preface -- Chapter 1: The Complex Numbers -- 1.1 Why? -- 1.2 The Algebra of Complex Numbers -- 1.3 The Geometry of the Complex Plane -- 1.4 The Topology of the Complex Plane -- 1.5 The Extended Complex Plane -- 1.6 Complex Sequences -- 1.7 Complex Series -- Chapter 2: Complex Functions and Mappings -- 2.1 Continuous Functions -- 2.2 Uniform Convergence -- 2.3 Power Series -- 2.4 Elementary Functions and Euler's Formula -- 2.5 Continuous Functions as Mappings -- 2.6 Linear Fractional Transformations -- 2.7 Derivatives -- 2.8 The Calculus of Real-Variable Functions -- 2.9 Contour Integrals -- Chapter 3: Analytic Functions -- 3.1 The Principle of Analyticity -- 3.2 Differentiable Functions are Analytic -- 3.3 Consequences of Goursat's Theorem -- 3.4 The Zeros of Analytic Functions -- 3.5 The Open Mapping Theorem and Maximum Principle -- 3.6 The Cauchy-Riemann Equations -- 3.7 Conformal Mapping and Local Univalence -- Chapter 4: Cauchy's Integral Theory -- 4.1 The Index of a Closed Contour -- 4.2 The Cauchy Integral Formula -- 4.3 Cauchy's Theorem -- Chapter 5: The Residue Theorem -- 5.1 Laurent Series -- 5.2 Classification of Singularities -- 5.3 Residues -- 5.4 Evaluation of Real Integrals -- 5.5 The Laplace Transform -- Chapter 6: Harmonic Functions and Fourier Series -- 6.1 Harmonic Functions -- 6.2 The Poisson Integral Formula -- 6.3 Further Connections to Analytic Functions -- 6.4 Fourier Series -- Epilogue -- Local Uniform Convergence -- Harnack's Theorem -- Results for Simply Connected Domains -- The Riemann Mapping Theorem -- Appendix A: Sets and Functions -- Sets and Elements -- Functions -- Appendix B: Topics from Advanced Calculus -- The Supremum and Infimum -- Uniform Continuity -- The Cauchy Product -- Leibniz's Rule -- References -- Index.
End User License Agreement. |
| Record Nr. | UNINA-9910795816003321 |
|
Muir Jerry R
|
||
| New York : , : John Wiley & Sons, Incorporated, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Complex Analysis : A Modern First Course in Function Theory
| Complex Analysis : A Modern First Course in Function Theory |
| Autore | Muir Jerry R |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | New York : , : John Wiley & Sons, Incorporated, , 2015 |
| Descrizione fisica | 1 online resource (277 pages) |
| Disciplina | 515 |
| Altri autori (Persone) | MuirJerry R., Jr |
| Soggetto topico |
Geometric function theory
Geometry Numbers, Complex |
| Soggetto genere / forma | Electronic books. |
| ISBN |
9781118705278
9781118705223 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Title Page -- Copyright -- Table of Contents -- Dedication -- Preface -- Chapter 1: The Complex Numbers -- 1.1 Why? -- 1.2 The Algebra of Complex Numbers -- 1.3 The Geometry of the Complex Plane -- 1.4 The Topology of the Complex Plane -- 1.5 The Extended Complex Plane -- 1.6 Complex Sequences -- 1.7 Complex Series -- Chapter 2: Complex Functions and Mappings -- 2.1 Continuous Functions -- 2.2 Uniform Convergence -- 2.3 Power Series -- 2.4 Elementary Functions and Euler's Formula -- 2.5 Continuous Functions as Mappings -- 2.6 Linear Fractional Transformations -- 2.7 Derivatives -- 2.8 The Calculus of Real-Variable Functions -- 2.9 Contour Integrals -- Chapter 3: Analytic Functions -- 3.1 The Principle of Analyticity -- 3.2 Differentiable Functions are Analytic -- 3.3 Consequences of Goursat's Theorem -- 3.4 The Zeros of Analytic Functions -- 3.5 The Open Mapping Theorem and Maximum Principle -- 3.6 The Cauchy-Riemann Equations -- 3.7 Conformal Mapping and Local Univalence -- Chapter 4: Cauchy's Integral Theory -- 4.1 The Index of a Closed Contour -- 4.2 The Cauchy Integral Formula -- 4.3 Cauchy's Theorem -- Chapter 5: The Residue Theorem -- 5.1 Laurent Series -- 5.2 Classification of Singularities -- 5.3 Residues -- 5.4 Evaluation of Real Integrals -- 5.5 The Laplace Transform -- Chapter 6: Harmonic Functions and Fourier Series -- 6.1 Harmonic Functions -- 6.2 The Poisson Integral Formula -- 6.3 Further Connections to Analytic Functions -- 6.4 Fourier Series -- Epilogue -- Local Uniform Convergence -- Harnack's Theorem -- Results for Simply Connected Domains -- The Riemann Mapping Theorem -- Appendix A: Sets and Functions -- Sets and Elements -- Functions -- Appendix B: Topics from Advanced Calculus -- The Supremum and Infimum -- Uniform Continuity -- The Cauchy Product -- Leibniz's Rule -- References -- Index.
End User License Agreement. |
| Record Nr. | UNINA-9910820273803321 |
|
Muir Jerry R
|
||
| New York : , : John Wiley & Sons, Incorporated, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Complex dynamics : twenty-five years after the appearance of the Mandelbrot set : proceedings of an AMS-IMS-SIAM Joint Summer Research Conference on Complex Dynamics : Twenty-five Years after the Appearance of the Mandelbrot Set, June 13-17, 2004, Snowbird, Utah / / Robert L. Devaney, Linda Keen, editors
| Complex dynamics : twenty-five years after the appearance of the Mandelbrot set : proceedings of an AMS-IMS-SIAM Joint Summer Research Conference on Complex Dynamics : Twenty-five Years after the Appearance of the Mandelbrot Set, June 13-17, 2004, Snowbird, Utah / / Robert L. Devaney, Linda Keen, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2006] |
| Descrizione fisica | 1 online resource (218 p.) |
| Disciplina | 514/.742 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Mandelbrot sets
Dynamics System theory Mappings (Mathematics) Domains of holomorphy Polynomials Numbers, Complex |
| Soggetto genere / forma | Electronic books. |
| ISBN | 0-8218-7986-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Polynomial vector fields, dessins d'enfants, and circle packings""""Siegel disks whose boundaries have only two complementary domains""; ""Non-uniform porosity for a subset of some Julia sets""; ""The existence of conformal measures for some transcendental meromorphic functions""; ""Open problems"" |
| Record Nr. | UNINA-9910480120103321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2006] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Complex dynamics : twenty-five years after the appearance of the Mandelbrot set : proceedings of an AMS-IMS-SIAM Joint Summer Research Conference on Complex Dynamics : Twenty-five Years after the Appearance of the Mandelbrot Set, June 13-17, 2004, Snowbird, Utah / / Robert L. Devaney, Linda Keen, editors
| Complex dynamics : twenty-five years after the appearance of the Mandelbrot set : proceedings of an AMS-IMS-SIAM Joint Summer Research Conference on Complex Dynamics : Twenty-five Years after the Appearance of the Mandelbrot Set, June 13-17, 2004, Snowbird, Utah / / Robert L. Devaney, Linda Keen, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2006] |
| Descrizione fisica | 1 online resource (218 p.) |
| Disciplina | 514/.742 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Mandelbrot sets
Dynamics System theory Mappings (Mathematics) Domains of holomorphy Polynomials Numbers, Complex |
| ISBN | 0-8218-7986-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Polynomial vector fields, dessins d'enfants, and circle packings""""Siegel disks whose boundaries have only two complementary domains""; ""Non-uniform porosity for a subset of some Julia sets""; ""The existence of conformal measures for some transcendental meromorphic functions""; ""Open problems"" |
| Record Nr. | UNINA-9910788662103321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2006] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Complex dynamics : twenty-five years after the appearance of the Mandelbrot set : proceedings of an AMS-IMS-SIAM Joint Summer Research Conference on Complex Dynamics : Twenty-five Years after the Appearance of the Mandelbrot Set, June 13-17, 2004, Snowbird, Utah / / Robert L. Devaney, Linda Keen, editors
| Complex dynamics : twenty-five years after the appearance of the Mandelbrot set : proceedings of an AMS-IMS-SIAM Joint Summer Research Conference on Complex Dynamics : Twenty-five Years after the Appearance of the Mandelbrot Set, June 13-17, 2004, Snowbird, Utah / / Robert L. Devaney, Linda Keen, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2006] |
| Descrizione fisica | 1 online resource (218 p.) |
| Disciplina | 514/.742 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Mandelbrot sets
Dynamics System theory Mappings (Mathematics) Domains of holomorphy Polynomials Numbers, Complex |
| ISBN | 0-8218-7986-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Polynomial vector fields, dessins d'enfants, and circle packings""""Siegel disks whose boundaries have only two complementary domains""; ""Non-uniform porosity for a subset of some Julia sets""; ""The existence of conformal measures for some transcendental meromorphic functions""; ""Open problems"" |
| Record Nr. | UNINA-9910815366003321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2006] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Complex numbers in N dimensions [e-book] / Silviu Olariu
| Complex numbers in N dimensions [e-book] / Silviu Olariu |
| Autore | Olariu, Silviu |
| Pubbl/distr/stampa | Amsterdam ; Boston : Elsevier, 2002 |
| Descrizione fisica | xv, 269 p. : ill. ; 24 cm |
| Disciplina | 512 |
| Collana | North-Holland mathematics studies, 0304-0208 ; 190 |
| Soggetto topico | Numbers, Complex |
| ISBN |
9780444511232
0444511237 |
| Formato | Risorse elettroniche  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991003272709707536 |
|
Olariu, Silviu
|
||
| Amsterdam ; Boston : Elsevier, 2002 | ||
| Risorse elettroniche | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
Dr. Euler's fabulous formula [[electronic resource] ] : cures many mathematical ills / / Paul J. Nahin ; with a new preface by the author
| Dr. Euler's fabulous formula [[electronic resource] ] : cures many mathematical ills / / Paul J. Nahin ; with a new preface by the author |
| Autore | Nahin Paul J |
| Edizione | [With a New preface by the author] |
| Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, c2006 |
| Descrizione fisica | xxxii, 380 p. : ill |
| Disciplina | 512.7/88 |
| Collana | Princeton Science Library |
| Soggetto topico |
Numbers, Complex
Euler's numbers Mathematics - History |
| Soggetto genere / forma | Electronic books. |
| ISBN |
0-691-17591-8
1-4008-3847-9 9786613058010 1-283-05801-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Preface to the Paperback Edition -- Preface -- Introduction -- Chapter 1. Complex Numbers -- Chapter 2. Vector Trips -- Chapter 3. The Irrationality of π2 -- Chapter 4. Fourier Series -- Chapter 5. Fourier Integrals -- Chapter 6. Electronics and √ −1 -- Euler: The Man and the Mathematical Physicist -- Notes -- Acknowledgments -- Index |
| Record Nr. | UNINA-9910453328903321 |
|
Nahin Paul J
|
||
| Princeton, N.J., : Princeton University Press, c2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Dr. Euler's fabulous formula [[electronic resource] ] : cures many mathematical ills / / Paul J. Nahin ; with a new preface by the author
| Dr. Euler's fabulous formula [[electronic resource] ] : cures many mathematical ills / / Paul J. Nahin ; with a new preface by the author |
| Autore | Nahin Paul J |
| Edizione | [With a New preface by the author] |
| Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, c2006 |
| Descrizione fisica | xxxii, 380 p. : ill |
| Disciplina | 512.7/88 |
| Collana | Princeton Science Library |
| Soggetto topico |
Numbers, Complex
Euler's numbers Mathematics - History |
| ISBN |
0-691-17591-8
1-4008-3847-9 9786613058010 1-283-05801-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Preface to the Paperback Edition -- Preface -- Introduction -- Chapter 1. Complex Numbers -- Chapter 2. Vector Trips -- Chapter 3. The Irrationality of π2 -- Chapter 4. Fourier Series -- Chapter 5. Fourier Integrals -- Chapter 6. Electronics and √ −1 -- Euler: The Man and the Mathematical Physicist -- Notes -- Acknowledgments -- Index |
| Record Nr. | UNINA-9910790953803321 |
|
Nahin Paul J
|
||
| Princeton, N.J., : Princeton University Press, c2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Dr. Euler's fabulous formula : cures many mathematical ills / / Paul J. Nahin ; with a new preface by the author
| Dr. Euler's fabulous formula : cures many mathematical ills / / Paul J. Nahin ; with a new preface by the author |
| Autore | Nahin Paul J |
| Edizione | [With a New preface by the author] |
| Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, c2006 |
| Descrizione fisica | xxxii, 380 p. : ill |
| Disciplina | 512.7/88 |
| Collana | Princeton Science Library |
| Soggetto topico |
Numbers, Complex
Euler's numbers Mathematics - History |
| ISBN |
0-691-17591-8
1-4008-3847-9 9786613058010 1-283-05801-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Preface to the Paperback Edition -- Preface -- Introduction -- Chapter 1. Complex Numbers -- Chapter 2. Vector Trips -- Chapter 3. The Irrationality of π2 -- Chapter 4. Fourier Series -- Chapter 5. Fourier Integrals -- Chapter 6. Electronics and √ −1 -- Euler: The Man and the Mathematical Physicist -- Notes -- Acknowledgments -- Index |
| Record Nr. | UNINA-9910811038003321 |
|
Nahin Paul J
|
||
| Princeton, N.J., : Princeton University Press, c2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Soggetto topico
-
Numbers, Complex
(29)
- Number theory (5)
- Euler's numbers (4)
- Mathematics - History (4)
- Numbers, Real (4)