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Larson L.C. — Problem Solving Through Problems
Larson L.C. — Problem Solving Through Problems

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Название: Problem Solving Through Problems

Автор: Larson L.C.

Аннотация:

This is a practical anthology of some of the best elementary problems in different branches of mathematics. They are selected for their aesthetic appeal as well as their instructional value, and are organized to highlight the most common problem-solving techniques encountered in undergraduate mathematics. Readers learn important principles and broad strategies for coping with the experience of solving problems, while tackling specific cases on their own. The material is classroom tested and has been found particularly helpful for students preparing for the Putnam exam. For easy reference, the problems are arranged by subject.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: 3-rd

Год издания: 1983

Количество страниц: 352

Добавлена в каталог: 31.03.2007

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Предметный указатель
Abel's limit theorem      5.4.5
Arithmetic-mean-geometric-mean inequality; proofs      2.5.7 7.2.5 7.4.20
Bertrand's postulate      2.3.2
Binomial theorem; proofs      2.1.1 2.1.11 4.3.3
Cantor set      3.4.6
Center of mass      3.3.1
Chinese remainder theorem      3.2.8
DeMoivre's theorem      3.5.2
Difference sequences      4.3.24
Division algorithm      3.1.2 4.2.1
Dot product      8.3.5
Euclidean algorithm      3.1.2
Euler's theorem (graph theory)      2.1.3
Euler’s theorem ($\phi$-function)      4.4.6
Factor Theorem      4.2.3
Fermat's little theorem      4.4.6
Fermat's two-square theorem      1.1.10
Field      4.4.10
Gauss' lemma      4.2.16
Generating function      5.4.9
Group      4.4.1
Handshake problem      1.2.4
Hatcheck problem      2.5.14
Heron's formula      8.1.1(3)
Hillclimbing      1.7.2
Identity Theorem      4.3.1
Integral domain      4.4.11
Josephus problem      2.5.10
Lagrange's interpolation theorem      4.3.22
Lagrange's theorem      4.4.3
Magical equation of the tangent      8.2.13
Parametric differentiation      1.12.3 1.12.6
Partial fractions      4.3.23
Perfect numbers      5.2.7
Pick's theorem      1.7.3 2.3.1
Primes, infinitude of      3.3.11 3.3.18 4.1.9 4.4.6 5.2.14 5.2.17
Principle of Nonsufficient Reason      1.6.2
Pythagorean triples      3.3.26
Rational root theorem      4.2.16
Repeated bisection method      6.1.2
Ring      4.4.9
Snowplow problem      1.5.1
Tower of Hanoi problem      2.5.1
Wilson's theorem      4.4.30
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