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Borwein J., Bailey D., Girgensohn R. — Experimentation in Mathematics: Computational Paths to Discovery
Borwein J., Bailey D., Girgensohn R. — Experimentation in Mathematics: Computational Paths to Discovery



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Название: Experimentation in Mathematics: Computational Paths to Discovery

Авторы: Borwein J., Bailey D., Girgensohn R.

Аннотация:

Sometimes mathematicians like to believe that theorems spring full- fledged from their brains, given birth solely by the power of naked mind. Borwein, Bailey, and Girgensohn take a different approach, using computer programs like Maple and Mathematica to explore hypothesis and generate ideas. Their approach is still rigorous, however, because the insight gained from computer experimentation is then incorporated into a rigorous proof. Topics are drawn primarily from analysis and number theory, including sequences and series, fourier series, zeta functions, partitions and powers, and primes and polynomials. Advanced undergraduate students with solid experience in these areas, or beginning graduate students should find this book accessible; in either case, no programming knowledge is assumed. The first volume of this work is Mathematics by Experiment: Plausible Reasoning in the 21st Century; each of the two can stand on its own.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2004

Количество страниц: 368

Добавлена в каталог: 11.06.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Watson, G.N., Watson integrals      117—121
Watson, G.N., Watson integrals, generalized      119—120
Watson, G.N., Watson integrals, logarithmic      200
Watson, G.N., Watson integrals, three-dimensional      117—118
Wavelet basis      113
Weierstrass, Karl      109
Weiss, Asia      ix
Wilf — Zeilberger algorithm      299—300
Wilf — Zeilberger algorithm, Gosper's telescoping algorithm      138
Wilker's inequality      60
Wilson's theorem      247
Wintner, A.      93 94
Wittgenstein, Ludwig      332
Yildirim, Cel      259
Young diagram      218 218 219
Zagier, Don      143 146 225
Zagier, Don, Zagier conjecture      144 160
Zagier, Don, Zagier conjecture, extensions      177—179
Zagier, Don, Zagier conjecture, proof      157—160
Zeroes of 0—1 polynomials      253$\ddag$
Zeta function      see Riemann zeta function
Zucker, I.J.      117
Zucker, John      ix
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