Buch, Englisch, 308 Seiten, Paperback, Format (B × H): 155 mm x 235 mm, Gewicht: 487 g
Problem-Solving and Proof
Buch, Englisch, 308 Seiten, Paperback, Format (B × H): 155 mm x 235 mm, Gewicht: 487 g
Reihe: Springer Undergraduate Mathematics Series
ISBN: 978-3-319-90319-4
Verlag: Springer International Publishing
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.
Zielgruppe
Lower undergraduate
Autoren/Hrsg.
Fachgebiete
- Sozialwissenschaften Pädagogik Lehrerausbildung, Unterricht & Didaktik Allgemeine Didaktik Naturwissenschaften, Mathematik (Unterricht & Didaktik)
- Interdisziplinäres Wissenschaften Wissenschaften: Allgemeines Populärwissenschaftliche Werke
- Mathematik | Informatik Mathematik Mathematik Allgemein Grundlagen der Mathematik
- Mathematik | Informatik Mathematik Mathematik Allgemein Populäre Darstellungen der Mathematik
Weitere Infos & Material
Introduction.- 1 First explorations.- 2 Recursion – a fundamental idea.- 3 Mathematical induction.- 4 Graphs.- 5 Counting.- 6 General problem solving strategies.- 7 Logic and proofs.- 8 Elementary number theory.- 9 The pigeonhole principle.- 10 The extremal principle.- 11 The invariance principle.- A A survey of problem-solving strategies.- B Basics on sets and maps.- List of symbols.- Glossary.- Lists of problems, theorems and methods.- Hints for selected exercises.- References.