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Dr. Euler's fabulous formula : cures many mathematical ills / Paul J. Nahin
Dr. Euler's fabulous formula : cures many mathematical ills / Paul J. Nahin
Autore Nahin, Paul J.
Edizione [9th printing, and 1st paperback printing]
Pubbl/distr/stampa Princeton, NJ : Princeton University Press, c2006
Descrizione fisica xx, 380 p. : ill.; 25 cm
Disciplina 512.7/88
Soggetto topico Numbers, Complex
Euler's numbers
Mathematics - History
ISBN 9780691150376
Classificazione LC QA255
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNISALENTO-991003799119707536
Nahin, Paul J.  
Princeton, NJ : Princeton University Press, c2006
Materiale a stampa
Lo trovi qui: Univ. del Salento
Opac: Controlla la disponibilità qui
An Imaginary Tale : The Story of √-1 / / Paul J. Nahin
An Imaginary Tale : The Story of √-1 / / Paul J. Nahin
Autore Nahin Paul J.
Edizione [With a New preface by the author]
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2010]
Descrizione fisica 1 online resource (294 p.)
Disciplina 515.9
Collana Princeton Science Library
Soggetto topico Numbers, Complex
Soggetto genere / forma Electronic books.
ISBN 0-691-02795-1
1-282-56922-8
1-4008-3389-2
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- A Note to the Reader -- Contents -- Illustrations -- Preface to the Paperback Edition -- Preface -- Introduction -- CHAPTER ONE The Puzzles of Imaginary Numbers -- CHAPTER TWO. A First Try at Understanding the Geometry of √-1 -- CHAPTER THREE. The Puzzles Start to Clear -- CHAPTER FOUR. Using Complex Numbers -- CHAPTER FIVE. More Uses of Complex Numbers -- CHAPTER SIX. Wizard Mathematics -- CHAPTER SEVEN. The Nineteenth Century, Cauchy, and the Beginning of Complex Function Theory -- APPENDIX A. The Fundamental Theorem of Algebra -- APPENDIX B. The Complex Roots of a Transcendental Equation -- APPENDIX C. (√-1)(√-1) to 135 Decimal Places, and How It Was Computed -- APPENDIX D. Solving Clausen's Puzzle -- APPENDIX E. Deriving the Differential Equation for the Phase-Shift Oscillator -- APPENDIX F. The Value of the Gamma Function on the Critical Line -- Notes -- Name Index -- Subject Index -- Acknowledgments
Record Nr. UNINA-9910460109603321
Nahin Paul J.  
Princeton, NJ : , : Princeton University Press, , [2010]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
An Imaginary Tale : The Story of √-1 / / Paul J. Nahin
An Imaginary Tale : The Story of √-1 / / Paul J. Nahin
Autore Nahin Paul J.
Edizione [With a New preface by the author]
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2010]
Descrizione fisica 1 online resource (294 p.)
Disciplina 515.9
Collana Princeton Science Library
Soggetto topico Numbers, Complex
ISBN 0-691-02795-1
1-282-56922-8
1-4008-3389-2
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Front matter -- A Note to the Reader -- Contents -- Illustrations -- Preface to the Paperback Edition -- Preface -- Introduction -- CHAPTER ONE The Puzzles of Imaginary Numbers -- CHAPTER TWO. A First Try at Understanding the Geometry of √-1 -- CHAPTER THREE. The Puzzles Start to Clear -- CHAPTER FOUR. Using Complex Numbers -- CHAPTER FIVE. More Uses of Complex Numbers -- CHAPTER SIX. Wizard Mathematics -- CHAPTER SEVEN. The Nineteenth Century, Cauchy, and the Beginning of Complex Function Theory -- APPENDIX A. The Fundamental Theorem of Algebra -- APPENDIX B. The Complex Roots of a Transcendental Equation -- APPENDIX C. (√-1)(√-1) to 135 Decimal Places, and How It Was Computed -- APPENDIX D. Solving Clausen's Puzzle -- APPENDIX E. Deriving the Differential Equation for the Phase-Shift Oscillator -- APPENDIX F. The Value of the Gamma Function on the Critical Line -- Notes -- Name Index -- Subject Index -- Acknowledgments
Record Nr. UNINA-9910785594203321
Nahin Paul J.  
Princeton, NJ : , : Princeton University Press, , [2010]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
An Imaginary Tale : The Story of √-1 / / Paul J. Nahin
An Imaginary Tale : The Story of √-1 / / Paul J. Nahin
Autore Nahin Paul J.
Edizione [With a New preface by the author]
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2010]
Descrizione fisica 1 online resource (294 p.)
Disciplina 515.9
Collana Princeton Science Library
Soggetto topico Numbers, Complex
ISBN 0-691-02795-1
1-282-56922-8
1-4008-3389-2
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Front matter -- A Note to the Reader -- Contents -- Illustrations -- Preface to the Paperback Edition -- Preface -- Introduction -- CHAPTER ONE The Puzzles of Imaginary Numbers -- CHAPTER TWO. A First Try at Understanding the Geometry of √-1 -- CHAPTER THREE. The Puzzles Start to Clear -- CHAPTER FOUR. Using Complex Numbers -- CHAPTER FIVE. More Uses of Complex Numbers -- CHAPTER SIX. Wizard Mathematics -- CHAPTER SEVEN. The Nineteenth Century, Cauchy, and the Beginning of Complex Function Theory -- APPENDIX A. The Fundamental Theorem of Algebra -- APPENDIX B. The Complex Roots of a Transcendental Equation -- APPENDIX C. (√-1)(√-1) to 135 Decimal Places, and How It Was Computed -- APPENDIX D. Solving Clausen's Puzzle -- APPENDIX E. Deriving the Differential Equation for the Phase-Shift Oscillator -- APPENDIX F. The Value of the Gamma Function on the Critical Line -- Notes -- Name Index -- Subject Index -- Acknowledgments
Record Nr. UNINA-9910820824503321
Nahin Paul J.  
Princeton, NJ : , : Princeton University Press, , [2010]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Journey from natural numbers to complex numbers / / Nita H. Shah and Thakkar D. Vishnuprasad
Journey from natural numbers to complex numbers / / Nita H. Shah and Thakkar D. Vishnuprasad
Autore Shah Nita H.
Edizione [1st.]
Pubbl/distr/stampa Boca Raton : , : CRC Press, , 2021
Descrizione fisica 1 online resource (95 pages) : illustrations
Disciplina 512.7
Collana CRC focus series
Advances in mathematics and engineering
Soggetto topico Number theory
Numbers, Complex
ISBN 1-00-310524-6
1-003-10524-6
1-000-29957-0
1-000-29963-5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Cover -- Half Title -- Series Page -- Title Page -- Copyright Page -- Table of Contents -- Preface -- Author biographies -- Chapter 1 Natural Numbers -- 1.1 Prerequisites -- 1.1.1 Set Theory -- 1.1.2 Relation -- 1.1.3 Function -- 1.1.4 Cardinality -- 1.1.5 Algebra -- 1.2 Positive Integers -- 1.2.1 Positive Integers in Real Life -- 1.2.2 Set Theoretic Definition of Natural Numbers -- 1.2.3 Peano Axioms -- 1.2.4 Ordering in Natural Numbers -- 1.2.5 First Principle of Mathematical Induction -- 1.2.6 Second Principle of Mathematical Induction -- 1.2.7 Well-Ordering Principle
1.2.8 Limitations of Natural Numbers -- 1.2.9 Representation of Natural Numbers -- 1.2.9.1 Hexadecimal System -- 1.2.10 Number System Used by Computers -- 1.3 Summary -- Chapter 2 Integers -- 2.1 Informal Introduction of Integers -- 2.2 Integers as Relation in Ordered Pairs of Natural Numbers -- 2.3 Ordering in Ordered Pairs -- 2.4 Operations in Ordered Pairs of Natural Numbers -- 2.5 Properties of Binary Operations -- 2.6 Interpretation of Relation and Operations -- 2.7 Mapping of Ordered Pairs as Extension of Natural Numbers -- 2.8 Representation of Integers -- 2.9 Summary
Chapter 3 Rational Numbers -- 3.1 Informal Introduction of Rational Numbers -- 3.2 Rational Numbers as Relation in Ordered Pairs of Integers -- 3.3 Ordering in Ordered Pairs -- 3.4 Operations in Ordered Pairs -- 3.5 Properties of Binary Operations -- 3.6 Interpretation of Relation and Operations -- 3.7 Mapping of Ordered Pairs as Extension of Integers -- 3.8 Representation of Rational Numbers -- 3.9 Limitations of Rational Numbers -- 3.10 Summary -- Chapter 4 Real Numbers -- 4.1 Least Upper Bound Property -- 4.2 Rational Cuts -- 4.3 Dedekind Cuts -- 4.4 Ordering in Cuts
4.5 Binary Operations in Cuts -- 4.6 Least Upper Bound Property -- 4.7 Set of Cuts as Extension of Rational Numbers -- 4.8 Cardinality of Set of Real Numbers -- 4.9 Limitations of Real Numbers -- 4.10 Summary -- Chapter 5 Complex Numbers -- 5.1 Complex Numbers as Ordered Pairs of Real Numbers -- 5.2 Binary Operations in Complex Numbers -- 5.3 Introduction of Imaginary Numbers -- 5.4 Representation of Complex Numbers -- 5.5 Ordering in Complex numbers -- 5.6 Cardinality of the Set of Complex Numbers -- 5.7 Algebraic Numbers -- 5.8 Summary -- Index
Record Nr. UNINA-9910860816603321
Shah Nita H.  
Boca Raton : , : CRC Press, , 2021
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Komplexe zahlen und ebene geometrie / / Joachim Engel, Andreas Fest
Komplexe zahlen und ebene geometrie / / Joachim Engel, Andreas Fest
Autore Engel Joachim
Edizione [3., erweiterte und überarbeitete Auflage.]
Pubbl/distr/stampa Berlin, [Germany] : , : De Gruyter, , 2016
Descrizione fisica 1 online resource (226 p.)
Disciplina 516.22
Collana De Gruyter Studium
Soggetto topico Numbers, Complex
Geometry, Non-Euclidean
Geometry, Plane
Soggetto genere / forma Electronic books.
ISBN 3-11-040687-X
3-11-040688-8
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione ger
Nota di contenuto Frontmatter -- Vorwort zur 1. Auflage -- Vorwort zur 2. Auflage -- Vorwort zur 3. Auflage -- Inhalt -- 1. Komplexe Zahlen und ihre geometrische Darstellung -- 2. Primzahlen im Komplexen -- 3. Lösungen algebraischer Gleichungen -- 4. Fundamentalsatz der Algebra -- 5. Riemannsche Kugel -- 6. Komplexe Funktionen -- 7. Gebrochen lineare Funktionen -- 8. Die Jukowski-Funktion und die Funktion w = z2 -- 9. Nichteuklidische Geometrie -- 10. Komplexe Zahlen und dynamische Geometrie -- 11. Komplexe Zahlen und Konforme Abbildungen mit MAPLE -- Stichwortverzeichnis
Record Nr. UNINA-9910466245903321
Engel Joachim  
Berlin, [Germany] : , : De Gruyter, , 2016
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Komplexe zahlen und ebene geometrie / / Joachim Engel, Andreas Fest
Komplexe zahlen und ebene geometrie / / Joachim Engel, Andreas Fest
Autore Engel Joachim
Edizione [3., erweiterte und überarbeitete Auflage.]
Pubbl/distr/stampa Berlin, [Germany] : , : De Gruyter, , 2016
Descrizione fisica 1 online resource (226 p.)
Disciplina 516.22
Collana De Gruyter Studium
Soggetto topico Numbers, Complex
Geometry, Non-Euclidean
Geometry, Plane
ISBN 3-11-040687-X
3-11-040688-8
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione ger
Nota di contenuto Frontmatter -- Vorwort zur 1. Auflage -- Vorwort zur 2. Auflage -- Vorwort zur 3. Auflage -- Inhalt -- 1. Komplexe Zahlen und ihre geometrische Darstellung -- 2. Primzahlen im Komplexen -- 3. Lösungen algebraischer Gleichungen -- 4. Fundamentalsatz der Algebra -- 5. Riemannsche Kugel -- 6. Komplexe Funktionen -- 7. Gebrochen lineare Funktionen -- 8. Die Jukowski-Funktion und die Funktion w = z2 -- 9. Nichteuklidische Geometrie -- 10. Komplexe Zahlen und dynamische Geometrie -- 11. Komplexe Zahlen und Konforme Abbildungen mit MAPLE -- Stichwortverzeichnis
Record Nr. UNINA-9910798286503321
Engel Joachim  
Berlin, [Germany] : , : De Gruyter, , 2016
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Komplexe zahlen und ebene geometrie / / Joachim Engel, Andreas Fest
Komplexe zahlen und ebene geometrie / / Joachim Engel, Andreas Fest
Autore Engel Joachim
Edizione [3., erweiterte und überarbeitete Auflage.]
Pubbl/distr/stampa Berlin, [Germany] : , : De Gruyter, , 2016
Descrizione fisica 1 online resource (226 p.)
Disciplina 516.22
Collana De Gruyter Studium
Soggetto topico Numbers, Complex
Geometry, Non-Euclidean
Geometry, Plane
ISBN 3-11-040687-X
3-11-040688-8
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione ger
Nota di contenuto Frontmatter -- Vorwort zur 1. Auflage -- Vorwort zur 2. Auflage -- Vorwort zur 3. Auflage -- Inhalt -- 1. Komplexe Zahlen und ihre geometrische Darstellung -- 2. Primzahlen im Komplexen -- 3. Lösungen algebraischer Gleichungen -- 4. Fundamentalsatz der Algebra -- 5. Riemannsche Kugel -- 6. Komplexe Funktionen -- 7. Gebrochen lineare Funktionen -- 8. Die Jukowski-Funktion und die Funktion w = z2 -- 9. Nichteuklidische Geometrie -- 10. Komplexe Zahlen und dynamische Geometrie -- 11. Komplexe Zahlen und Konforme Abbildungen mit MAPLE -- Stichwortverzeichnis
Record Nr. UNINA-9910813904903321
Engel Joachim  
Berlin, [Germany] : , : De Gruyter, , 2016
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Nombres complexes, fonctions rationnelles : L1, classes préparatoires, CAPES / / Georges Zafindratafa ; Jean Marie Morvan, directeur de collection
Nombres complexes, fonctions rationnelles : L1, classes préparatoires, CAPES / / Georges Zafindratafa ; Jean Marie Morvan, directeur de collection
Autore Zafindratafa Georges
Pubbl/distr/stampa Toulouse, France : , : Cépaduès-Éditions, , 2013
Descrizione fisica 1 online resource (156 pages)
Disciplina 512.72
Collana Bien débuter en mathématiques
Soggetto topico Numbers, Complex
Fractions
Soggetto genere / forma Electronic books.
ISBN 2-36493-396-X
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione fre
Record Nr. UNINA-9910453022303321
Zafindratafa Georges  
Toulouse, France : , : Cépaduès-Éditions, , 2013
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Nombres complexes, fonctions rationnelles : L1, classes préparatoires, CAPES / / Georges Zafindratafa ; Jean Marie Morvan, directeur de collection
Nombres complexes, fonctions rationnelles : L1, classes préparatoires, CAPES / / Georges Zafindratafa ; Jean Marie Morvan, directeur de collection
Autore Zafindratafa Georges
Pubbl/distr/stampa Toulouse, France : , : Cépaduès-Éditions, , 2013
Descrizione fisica 1 online resource (156 pages)
Disciplina 512.72
Collana Bien débuter en mathématiques
Soggetto topico Numbers, Complex
Fractions
ISBN 2-36493-396-X
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione fre
Record Nr. UNINA-9910779878603321
Zafindratafa Georges  
Toulouse, France : , : Cépaduès-Éditions, , 2013
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui