Solving the Pell Equation, Michael Jacobson; Hugh Williams

Автор: Thomas Koshy
Название: Pell and Pell–Lucas Numbers with Applications
ISBN: 1493953419 ISBN-13(EAN): 9781493953417
Издательство: Springer
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Цена: 6288.00 р.
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Описание: Pell and Pell-Lucas Numbers has been carefully crafted as an undergraduate/graduate textbook; the level of which depends on the college/university and the instructor`s preference. The exposition moves from the basics to more advanced topics in a systematic rigorous fashion, motivating the reader with numerous examples, figures, and exercises. Only a strong foundation in precalculus, plus a good background in matrices, determinants, congruences, and combinatorics is required. The text may be used in a variety of number theory courses, as well as in seminars, workshops, and other capstone experiences for teachers in-training and instructors at all levels. A number of key features on the Pell family surrounds the historical flavor that is interwoven into an extensive, in-depth coverage of this unique text on the subject. Pell and Pell-Lucas numbers, like the well-known Fibonacci and Catalan numbers, continue to intrigue the mathematical community with their beauty and applicability. Beyond the classroom setting, the professional mathematician, computer scientist, and other university faculty will greatly benefit from exposure to a range of mathematical skills involving pattern recognition, conjecturing, and problem-solving techniques; these insights and tools are presented in an array of applications to combinatorics, graph theory, geometry, and various other areas of discrete mathematics. Pell and Pell-Lucas Numbers provides a powerful tool for extracting numerous interesting properties of a vast array of number sequences. It is a fascinating book, offering boundless opportunities for experimentation and exploration for the mathematically curious, from student, to the professional, amateur number theory enthusiast, and talented high schooler.- -

Автор: Grigorieva, Ellina
Название: Methods of solving nonstandard problems
ISBN: 3319198866 ISBN-13(EAN): 9783319198866
Издательство: Springer
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Цена: 2795.00 р.
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Описание: Methods of Solving Nonstandard Problems

Автор: Rassias, Michael Th.
Название: Problem-solving and selected topics in number theory
ISBN: 1489981942 ISBN-13(EAN): 9781489981943
Издательство: Springer
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Цена: 7685.00 р.
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Описание: This self-contained introduction to classical number theory is written for undergraduate and graduate students, alike. Proofs of the theorems and solutions of the exercises are presented step-by-step.