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ANDREI BOURCHTEIN is Professor at the Institute of Physics and Mathematics, Federal University of Pelotas, Brazil. He received his Ph.D. in Mathematics and Physics from the Hydrometeorological Center of Russia. He began his academic and research career as an Associate Professor at Mathematics Institute, Far East State University, Russia, and a Research Scientist at the Hydrometeorological Institute, Russia. In 1995, he joined the Federal University of Pelotas, Brazil, as Associate Professor at the Institute of Physics and Mathematics before being promoted to Full Professor. An author of more than 100 refereed articles and 7 books, Prof. Bourchtein's research interests include real and complex analysis, numerical analysis, computational fluid dynamics and numerical weather prediction. During his research career, he was awarded a number of grants from Brazilian science foundations and scientific societies, including the International Mathematical Union (IMU) and the International Council for Industrial and Applied Mathematics (ICIAM).
LUDMILA BOURCHTEIN is Professor Emeritus and Senior Research Scientist at the Institute of Physics and Mathematics, Federal University of Pelotas, Brazil. She received her Ph.D. in Mathematics from Saint Petersburg State University, Russia. During the span of 34 years at the Mathematics Institute, Far East State University, Russia, she held different positions, from Assistant Professor, Associate Professor, to the rank of Full Professor. In the last 15 years, she served as Associate and Full Professor at the Institute of Physics and Mathematics, Federal University of Pelotas, where she was conferred with the title of Emeritus Professor in 2019. An author of more than 80 referred articles and 5 books, her research interests include real and complex analysis, conformal mappings and numerical analysis. During her research career, she was awarded a number of grants of Russian and Brazilian science foundations and scientific societies, including the International Mathematical Union (IMU) and the International Council for Industrial and Applied Mathematics (ICIAM).
Discusses all major topics of complex analysis at the advanced undergraduate and graduate levels
Includes more than 300 problems and exercises, making this book self-sufficient and suitable for both classroom use and self-study
Contains more than 120 figures for making the exposition clearer and developing geometric intuition
Presents all the results in general form, avoiding major complications of their proofs
Covers topics in a rigorous mathematical manner while keeping the exposition at the level acceptable for advanced undergraduate courses
1. Introduction.- 2. Analytic Functions and Their Properties.- 3. Singular Points. Laurent Series. Residues.- 4. Conformal Mappings. Elementary Functions.- 5. Fundamental Principles of Conformal Mappings. Transformations of Polygons.
| Erscheinungsjahr: | 2021 |
|---|---|
| Fachbereich: | Analysis |
| Genre: | Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Buch |
| Seiten: | 360 |
| Reihe: | Hindustan Publishing Corporation |
| Inhalt: |
xiii
346 S. 136 s/w Illustr. 346 p. 136 illus. |
| ISBN-13: | 9789811592188 |
| ISBN-10: | 9811592187 |
| Sprache: | Englisch |
| Ausstattung / Beilage: | HC runder Rücken kaschiert |
| Einband: | Gebunden |
| Autor: |
Bourchtein, Ludmila
Bourchtein, Andrei |
| Auflage: | 1st ed. 2021 |
| Hersteller: |
Springer Singapore
Springer Nature Singapore Hindustan Publishing Corporation |
| Maße: | 241 x 160 x 25 mm |
| Von/Mit: | Ludmila Bourchtein (u. a.) |
| Erscheinungsdatum: | 10.02.2021 |
| Gewicht: | 0,705 kg |
ANDREI BOURCHTEIN is Professor at the Institute of Physics and Mathematics, Federal University of Pelotas, Brazil. He received his Ph.D. in Mathematics and Physics from the Hydrometeorological Center of Russia. He began his academic and research career as an Associate Professor at Mathematics Institute, Far East State University, Russia, and a Research Scientist at the Hydrometeorological Institute, Russia. In 1995, he joined the Federal University of Pelotas, Brazil, as Associate Professor at the Institute of Physics and Mathematics before being promoted to Full Professor. An author of more than 100 refereed articles and 7 books, Prof. Bourchtein's research interests include real and complex analysis, numerical analysis, computational fluid dynamics and numerical weather prediction. During his research career, he was awarded a number of grants from Brazilian science foundations and scientific societies, including the International Mathematical Union (IMU) and the International Council for Industrial and Applied Mathematics (ICIAM).
LUDMILA BOURCHTEIN is Professor Emeritus and Senior Research Scientist at the Institute of Physics and Mathematics, Federal University of Pelotas, Brazil. She received her Ph.D. in Mathematics from Saint Petersburg State University, Russia. During the span of 34 years at the Mathematics Institute, Far East State University, Russia, she held different positions, from Assistant Professor, Associate Professor, to the rank of Full Professor. In the last 15 years, she served as Associate and Full Professor at the Institute of Physics and Mathematics, Federal University of Pelotas, where she was conferred with the title of Emeritus Professor in 2019. An author of more than 80 referred articles and 5 books, her research interests include real and complex analysis, conformal mappings and numerical analysis. During her research career, she was awarded a number of grants of Russian and Brazilian science foundations and scientific societies, including the International Mathematical Union (IMU) and the International Council for Industrial and Applied Mathematics (ICIAM).
Discusses all major topics of complex analysis at the advanced undergraduate and graduate levels
Includes more than 300 problems and exercises, making this book self-sufficient and suitable for both classroom use and self-study
Contains more than 120 figures for making the exposition clearer and developing geometric intuition
Presents all the results in general form, avoiding major complications of their proofs
Covers topics in a rigorous mathematical manner while keeping the exposition at the level acceptable for advanced undergraduate courses
1. Introduction.- 2. Analytic Functions and Their Properties.- 3. Singular Points. Laurent Series. Residues.- 4. Conformal Mappings. Elementary Functions.- 5. Fundamental Principles of Conformal Mappings. Transformations of Polygons.
| Erscheinungsjahr: | 2021 |
|---|---|
| Fachbereich: | Analysis |
| Genre: | Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Buch |
| Seiten: | 360 |
| Reihe: | Hindustan Publishing Corporation |
| Inhalt: |
xiii
346 S. 136 s/w Illustr. 346 p. 136 illus. |
| ISBN-13: | 9789811592188 |
| ISBN-10: | 9811592187 |
| Sprache: | Englisch |
| Ausstattung / Beilage: | HC runder Rücken kaschiert |
| Einband: | Gebunden |
| Autor: |
Bourchtein, Ludmila
Bourchtein, Andrei |
| Auflage: | 1st ed. 2021 |
| Hersteller: |
Springer Singapore
Springer Nature Singapore Hindustan Publishing Corporation |
| Maße: | 241 x 160 x 25 mm |
| Von/Mit: | Ludmila Bourchtein (u. a.) |
| Erscheinungsdatum: | 10.02.2021 |
| Gewicht: | 0,705 kg |
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