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Canuto C., Tabacco A. — Mathematical analysis
Canuto C., Tabacco A. — Mathematical analysis



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Название: Mathematical analysis

Авторы: Canuto C., Tabacco A.

Аннотация:

The purpose of the volume is to provide a support for a first course in Mathematical Analysis, along the lines of the recent Programme Specifications for mathematical teaching in European universities. The contents are organised to appeal especially to Engineering, Physics and Computer Science students, all areas in which mathematical tools play a crucial role. Basic notions and methods of differential and integral calculus for functions of one real variable are presented in a manner that elicits critical reading and prompts a hands-on approach to concrete applications. The layout has a specifically-designed modular nature, allowing the instructor to make flexible didactical choices when planning an introductory lecture course. The book may in fact be employed at three levels of depth. Definitions and properties are furnished with substantial examples to stimulate the learning process. Over 350 solved exercises complete the text, at least half of which guide the reader to the solution.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2008

Количество страниц: 435

Добавлена в каталог: 20.04.2014

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Series, alternating      149
Series, conditionally converging      150
Series, converging      142
Series, diverging      142
Series, general term      142
Series, geometric      146
Series, harmonic      147 149 362
Series, indeterminate      142
Series, Mengoli      144
Series, positive-term      146
Series, telescopic      145
Set      1
Set, ambient      1
Set, bounded      15
Set, bounded from above      15
Set, bounded from below      15
Set, complement      3 7
Set, empty      2
Set, power      2
Sine      52 79 93 106 171 230
Sine, hyperbolic      195 236
Subset      1 7
Sum of a series      142
Supremum of a function      37
Supremum of a set      17
Tangent      54 169 173 239
Test, absolute convergence      150 359
Test, asymptotic comparison      148 361 365
Test, comparison      147 358 365
Test, integral      362
Test, Leibniz      149
Test, ratio      139 148
Test, root      148
Theorem, comparison      92 95 137
Theorem, de l'Hopital      197
Theorem, existence of zeroes      109
Theorem, Fermat      179
Theorem, Fundamental of integral calculus      331
Theorem, intermediate value      112
Theorem, Lagrange      182
Theorem, mean value      182
Theorem, Mean Value of integral calculus      329
Theorem, Rolle      181
Theorem, substitution      102 138
Theorem, uniqueness of the limit      89
Theorem, Weierstrass      114
Translation      45
union      3 7
Unit circle      51
Upper bound      15
Upper bound, least      17 113
Value, maximum      37
Value, principal      274
Variable, dependent      36 167
Variable, independent      36 167
Vector      260
Vector at a point      268
Vector field      376
Vector space      262
Vector, direction      261
Vector, lenght      261
Vector, orientation      261
Vector, orthogonal      264
Vector, perpendicular      264
Vector, position      260
Vector, tangent      282
Vector, unit      263
Venn diagrams      2
Zero      108
1 2
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