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The reader will find the problems interesting, unusual, and fun, yet solved with the rigor expected in a competition. Some problems are taken directly from mathematics competitions, with the name and year of the exam provided for reference. Proof techniques are emphasized, with a variety of methods presented. The text aims to expand the mind of the reader by often presenting multiple ways to attack the same problem, as well as drawing connections with different fields of mathematics. Intuitive and visual arguments are presented alongside technical proofs to provide a well-rounded methodology.
With nearly 300 problems including hints, answers, and solutions, Methods of Solving Sequences and Series Problems is an ideal resource for those learning calculus, preparing for mathematics competitions, or just looking for a worthwhile challenge. It can also be used by faculty who are looking for interesting and insightful problems that are not commonly found in other textbooks.
The reader will find the problems interesting, unusual, and fun, yet solved with the rigor expected in a competition. Some problems are taken directly from mathematics competitions, with the name and year of the exam provided for reference. Proof techniques are emphasized, with a variety of methods presented. The text aims to expand the mind of the reader by often presenting multiple ways to attack the same problem, as well as drawing connections with different fields of mathematics. Intuitive and visual arguments are presented alongside technical proofs to provide a well-rounded methodology.
With nearly 300 problems including hints, answers, and solutions, Methods of Solving Sequences and Series Problems is an ideal resource for those learning calculus, preparing for mathematics competitions, or just looking for a worthwhile challenge. It can also be used by faculty who are looking for interesting and insightful problems that are not commonly found in other textbooks.
Ideal for independent study, competition training, or as an extra resource in the classroom
Contains nearly 300 problems with answers, hints, and detailed solutions
Includes fascinating special topics related to sequences and series not usually covered in calculus classes
Includes supplementary material: [...]
| Erscheinungsjahr: | 2018 |
|---|---|
| Fachbereich: | Analysis |
| Genre: | Mathematik, Medizin, Naturwissenschaften, Technik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Inhalt: |
xx
281 S. 21 s/w Illustr. 25 farbige Illustr. 281 p. 46 illus. 25 illus. in color. |
| ISBN-13: | 9783319833484 |
| ISBN-10: | 3319833480 |
| Sprache: | Englisch |
| Einband: | Kartoniert / Broschiert |
| Autor: | Grigorieva, Ellina |
| Auflage: | Softcover reprint of the original 1st edition 2016 |
| Hersteller: | Springer International Publishing |
| Verantwortliche Person für die EU: | Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, D-14197 Berlin, juergen.hartmann@springer.com |
| Maße: | 235 x 155 x 17 mm |
| Von/Mit: | Ellina Grigorieva |
| Erscheinungsdatum: | 29.04.2018 |
| Gewicht: | 0,464 kg |
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