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The exposition concentrates on key concepts and then elementary results concerning these numbers. The reader learns how complex numbers can be used to solve algebraic equations and to understand the geometric interpretation of complex numbers and the operations involving them.
The theoretical parts of the book are augmented with rich exercises and problems at various levels of difficulty. Many new problems and solutions have been added in this second edition. A special feature of the book is the last chapter a selection of outstanding Olympiad and other important mathematical contest problems solved by employing the methods already presented.
The book reflects the unique experience of the authors. Itdistills a vast mathematical literature most of which is unknown to the western public and captures the essence of an abundant problem culture. The target audience includes undergraduate high school students and their teacher's mathematical contestants (such as those training for Olympiads or the W. L. Putnam Mathematical Competition) and their coaches as well as anyone interested in essential mathematics.
The exposition concentrates on key concepts and then elementary results concerning these numbers. The reader learns how complex numbers can be used to solve algebraic equations and to understand the geometric interpretation of complex numbers and the operations involving them.
The theoretical parts of the book are augmented with rich exercises and problems at various levels of difficulty. Many new problems and solutions have been added in this second edition. A special feature of the book is the last chapter a selection of outstanding Olympiad and other important mathematical contest problems solved by employing the methods already presented.
The book reflects the unique experience of the authors. Itdistills a vast mathematical literature most of which is unknown to the western public and captures the essence of an abundant problem culture. The target audience includes undergraduate high school students and their teacher's mathematical contestants (such as those training for Olympiads or the W. L. Putnam Mathematical Competition) and their coaches as well as anyone interested in essential mathematics.
Complex Numbers from A to ...Z is an introduction to this fascinating subject, with a particular emphasis on key concepts and elementary results concerning these numbers. The reader learns how complex numbers may be used to solve algebraic equations as well as the geometric interpretation of complex numbers and the operations involving them.
The theoretical parts of the book are augmented with rich exercises and problems at various levels of difficulty. A special feature of the book is a selection of outstanding Olympiad and other mathematical contest problems solved by employing the methods presented in the text. The work may serve as an engaging supplemental undergraduate text for an introductory course on complex numbers or number theory.
Preface.- Complex Numbers in Algebraic Form.- Complex Numbers in Trigonometric Form.- Complex Numbers and Geometry.- More on Complex Numbers and Geometry.- Olympiad-Caliber Problems.- Answers, Hints and Solutions to Proposed Problems.- Glossary.- References.- Index of Authors.
| Erscheinungsjahr: | 2014 |
|---|---|
| Fachbereich: | Analysis |
| Genre: | Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Seiten: | 412 |
| Inhalt: |
xvii
391 S. 83 s/w Illustr. 391 p. 83 illus. |
| ISBN-13: | 9780817684143 |
| ISBN-10: | 081768414X |
| Sprache: | Englisch |
| Herstellernummer: | 12820627 |
| Ausstattung / Beilage: | Paperback |
| Einband: | Kartoniert / Broschiert |
| Autor: |
Andrica, Dorin
Andreescu, Titu |
| Auflage: | 2nd ed. 2014 |
| Hersteller: |
Birkhuser Boston
Birkhäuser Boston |
| Maße: | 235 x 155 x 23 mm |
| Von/Mit: | Dorin Andrica (u. a.) |
| Erscheinungsdatum: | 17.02.2014 |
| Gewicht: | 0,622 kg |
Complex Numbers from A to ...Z is an introduction to this fascinating subject, with a particular emphasis on key concepts and elementary results concerning these numbers. The reader learns how complex numbers may be used to solve algebraic equations as well as the geometric interpretation of complex numbers and the operations involving them.
The theoretical parts of the book are augmented with rich exercises and problems at various levels of difficulty. A special feature of the book is a selection of outstanding Olympiad and other mathematical contest problems solved by employing the methods presented in the text. The work may serve as an engaging supplemental undergraduate text for an introductory course on complex numbers or number theory.
Preface.- Complex Numbers in Algebraic Form.- Complex Numbers in Trigonometric Form.- Complex Numbers and Geometry.- More on Complex Numbers and Geometry.- Olympiad-Caliber Problems.- Answers, Hints and Solutions to Proposed Problems.- Glossary.- References.- Index of Authors.
| Erscheinungsjahr: | 2014 |
|---|---|
| Fachbereich: | Analysis |
| Genre: | Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Seiten: | 412 |
| Inhalt: |
xvii
391 S. 83 s/w Illustr. 391 p. 83 illus. |
| ISBN-13: | 9780817684143 |
| ISBN-10: | 081768414X |
| Sprache: | Englisch |
| Herstellernummer: | 12820627 |
| Ausstattung / Beilage: | Paperback |
| Einband: | Kartoniert / Broschiert |
| Autor: |
Andrica, Dorin
Andreescu, Titu |
| Auflage: | 2nd ed. 2014 |
| Hersteller: |
Birkhuser Boston
Birkhäuser Boston |
| Maße: | 235 x 155 x 23 mm |
| Von/Mit: | Dorin Andrica (u. a.) |
| Erscheinungsdatum: | 17.02.2014 |
| Gewicht: | 0,622 kg |
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