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As part of a collection, the book differs from other publications in this field by not being a mere selection of questions or a set of tips and tricks that applies to specific problems. It starts from the most basic theoretical principles, without being either too general or too axiomatic. Examples and problems are discussed only if they are helpful as applications of the theory. Propositions are proved in detail and subsequently applied to Olympic problems or to other problems at the Olympic level.
The book also explores some of the hardest problems presented at National and International Mathematics Olympiads, as well as many essential theorems related to the content. An extensive Appendix offering hints on or full solutions for all difficult problems rounds out the book.
As part of a collection, the book differs from other publications in this field by not being a mere selection of questions or a set of tips and tricks that applies to specific problems. It starts from the most basic theoretical principles, without being either too general or too axiomatic. Examples and problems are discussed only if they are helpful as applications of the theory. Propositions are proved in detail and subsequently applied to Olympic problems or to other problems at the Olympic level.
The book also explores some of the hardest problems presented at National and International Mathematics Olympiads, as well as many essential theorems related to the content. An extensive Appendix offering hints on or full solutions for all difficult problems rounds out the book.
Combines an in-depth overview of the theory with problems presented at several Mathematical Olympiads around the world.
Offers a comprehensive course on problem-solving techniques
Presents a coherent development of mathematical ideas and methods behind problem solving
Brings several classical, relevant results of various fields in mathematics
Includes supplementary material: [...]
Chapter 1 The Set of Real Numbers.- Chapter 2 Algebraic Identities, Equations and Systems.- Chapter 3 Elementary Sequences.- Chapter 4 Induction and the Binomial Formula.- Chapter 5 Elementary Inequalities.- Chapter 6 The Concept of Function.- Chapter 7 More on Real Numbers.- Chapter 8 Continuous Functions.- Chapter 9 Limits and Derivatives.- Chapter 10 Riemann's Integral.- Chapter 11 Series of Functions.- Bibliography.- Appendix A Glossary.- Appendix B Hints and Solutions.
| Erscheinungsjahr: | 2017 |
|---|---|
| Fachbereich: | Analysis |
| Genre: | Mathematik, Medizin, Naturwissenschaften, Technik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Buch |
| Reihe: | Problem Books in Mathematics |
| Inhalt: |
xiii
652 S. 73 s/w Illustr. 652 p. 73 illus. |
| ISBN-13: | 9783319538709 |
| ISBN-10: | 3319538705 |
| Sprache: | Englisch |
| Herstellernummer: | 978-3-319-53870-9 |
| Ausstattung / Beilage: | HC runder Rücken kaschiert |
| Einband: | Gebunden |
| Autor: | Caminha Muniz Neto, Antonio |
| Auflage: | 1st ed. 2017 |
| Hersteller: |
Springer Nature Switzerland
Springer International Publishing Springer International Publishing AG Problem Books in Mathematics |
| Verantwortliche Person für die EU: | Books on Demand GmbH, In de Tarpen 42, D-22848 Norderstedt, info@bod.de |
| Maße: | 241 x 160 x 42 mm |
| Von/Mit: | Antonio Caminha Muniz Neto |
| Erscheinungsdatum: | 10.04.2017 |
| Gewicht: | 1,156 kg |
Combines an in-depth overview of the theory with problems presented at several Mathematical Olympiads around the world.
Offers a comprehensive course on problem-solving techniques
Presents a coherent development of mathematical ideas and methods behind problem solving
Brings several classical, relevant results of various fields in mathematics
Includes supplementary material: [...]
Chapter 1 The Set of Real Numbers.- Chapter 2 Algebraic Identities, Equations and Systems.- Chapter 3 Elementary Sequences.- Chapter 4 Induction and the Binomial Formula.- Chapter 5 Elementary Inequalities.- Chapter 6 The Concept of Function.- Chapter 7 More on Real Numbers.- Chapter 8 Continuous Functions.- Chapter 9 Limits and Derivatives.- Chapter 10 Riemann's Integral.- Chapter 11 Series of Functions.- Bibliography.- Appendix A Glossary.- Appendix B Hints and Solutions.
| Erscheinungsjahr: | 2017 |
|---|---|
| Fachbereich: | Analysis |
| Genre: | Mathematik, Medizin, Naturwissenschaften, Technik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Buch |
| Reihe: | Problem Books in Mathematics |
| Inhalt: |
xiii
652 S. 73 s/w Illustr. 652 p. 73 illus. |
| ISBN-13: | 9783319538709 |
| ISBN-10: | 3319538705 |
| Sprache: | Englisch |
| Herstellernummer: | 978-3-319-53870-9 |
| Ausstattung / Beilage: | HC runder Rücken kaschiert |
| Einband: | Gebunden |
| Autor: | Caminha Muniz Neto, Antonio |
| Auflage: | 1st ed. 2017 |
| Hersteller: |
Springer Nature Switzerland
Springer International Publishing Springer International Publishing AG Problem Books in Mathematics |
| Verantwortliche Person für die EU: | Books on Demand GmbH, In de Tarpen 42, D-22848 Norderstedt, info@bod.de |
| Maße: | 241 x 160 x 42 mm |
| Von/Mit: | Antonio Caminha Muniz Neto |
| Erscheinungsdatum: | 10.04.2017 |
| Gewicht: | 1,156 kg |
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