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Readers will not only learn strategies for solving problems and logical reasoning, but they will also learn about the importance of proofs and various proof techniques. Other topics covered include recursion, mathematical induction, graphs, counting, elementary number theory, and the pigeonhole, extremal and invariance principles. Designed to help students make the transition from secondary school to university level, this book provides readers with a refreshing look at mathematics and deep insights into universal principles that are valuable far beyond the scope of this book.
Aimed especially at undergraduate and secondary school students as well as teachers, this book will appeal to anyone interested in mathematics. Only basic secondary school mathematics is required, including an understanding of numbers and elementary geometry, but no calculus. Including numerous exercises, with hints provided, this textbook is suitable for self-study and use alongside lecture courses.
Readers will not only learn strategies for solving problems and logical reasoning, but they will also learn about the importance of proofs and various proof techniques. Other topics covered include recursion, mathematical induction, graphs, counting, elementary number theory, and the pigeonhole, extremal and invariance principles. Designed to help students make the transition from secondary school to university level, this book provides readers with a refreshing look at mathematics and deep insights into universal principles that are valuable far beyond the scope of this book.
Aimed especially at undergraduate and secondary school students as well as teachers, this book will appeal to anyone interested in mathematics. Only basic secondary school mathematics is required, including an understanding of numbers and elementary geometry, but no calculus. Including numerous exercises, with hints provided, this textbook is suitable for self-study and use alongside lecture courses.
Daniel Grieser is Professor of Mathematics at Carl von Ossietzky Universität Oldenburg. He works in geometry, analysis and combinatorics. He won a gold medal at the International Mathematics Olympiad and in 2014 he received the Ars Legendi Faculty award for excellent teaching, a national prize awarded in Germany, for developing the course on which this book is based.
Provides general and maths-specific problem-solving strategies
Contains many motivating examples and exercises
Engages the reader to explore mathematics and solve fun problems
Introduces fundamental ideas useful in all areas of mathematics
| Erscheinungsjahr: | 2018 |
|---|---|
| Fachbereich: | Allgemeines |
| Genre: | Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Seiten: | 320 |
| Reihe: | Springer Undergraduate Mathematics Series |
| Inhalt: |
xi
308 S. 62 s/w Illustr. 15 farbige Illustr. 308 p. 77 illus. 15 illus. in color. |
| ISBN-13: | 9783319903194 |
| ISBN-10: | 3319903195 |
| Sprache: | Englisch |
| Herstellernummer: | 978-3-319-90319-4 |
| Ausstattung / Beilage: | Paperback |
| Einband: | Kartoniert / Broschiert |
| Autor: | Grieser, Daniel |
| Auflage: | 1st ed. 2018 |
| Hersteller: |
Springer International Publishing
Springer Undergraduate Mathematics Series |
| Maße: | 235 x 155 x 18 mm |
| Von/Mit: | Daniel Grieser |
| Erscheinungsdatum: | 31.05.2018 |
| Gewicht: | 0,487 kg |
Daniel Grieser is Professor of Mathematics at Carl von Ossietzky Universität Oldenburg. He works in geometry, analysis and combinatorics. He won a gold medal at the International Mathematics Olympiad and in 2014 he received the Ars Legendi Faculty award for excellent teaching, a national prize awarded in Germany, for developing the course on which this book is based.
Provides general and maths-specific problem-solving strategies
Contains many motivating examples and exercises
Engages the reader to explore mathematics and solve fun problems
Introduces fundamental ideas useful in all areas of mathematics
| Erscheinungsjahr: | 2018 |
|---|---|
| Fachbereich: | Allgemeines |
| Genre: | Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Seiten: | 320 |
| Reihe: | Springer Undergraduate Mathematics Series |
| Inhalt: |
xi
308 S. 62 s/w Illustr. 15 farbige Illustr. 308 p. 77 illus. 15 illus. in color. |
| ISBN-13: | 9783319903194 |
| ISBN-10: | 3319903195 |
| Sprache: | Englisch |
| Herstellernummer: | 978-3-319-90319-4 |
| Ausstattung / Beilage: | Paperback |
| Einband: | Kartoniert / Broschiert |
| Autor: | Grieser, Daniel |
| Auflage: | 1st ed. 2018 |
| Hersteller: |
Springer International Publishing
Springer Undergraduate Mathematics Series |
| Maße: | 235 x 155 x 18 mm |
| Von/Mit: | Daniel Grieser |
| Erscheinungsdatum: | 31.05.2018 |
| Gewicht: | 0,487 kg |
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