000			02060nam a22002898a 4500
001			0000061259
003			0001
008			101012s2011 nyua 000 0 eng|d
015			_aGBB0C5227 _2bnb
020			_a9788132204824
040			_aStDuBDS _beng _cStDuBDS
082	0	4	_a515 _222
084			_a515 _bHIJ-I
100	1		_aHijab, O.
245	1	0	_aIntroduction to calculus and classical analysis _h[Book] / _cOmar Hijab.
250			_a2nd ed.
260			_aNew Delhi : _bSpringer (India), _c2011.
300			_a1 v. : _bill. ; _c24 cm.
440		0	_aUndergraduate texts in mathematics
490	0		_aUndergraduate texts in mathematics
500			_a"Springer International Edition"--Cover
520			_aThis text is intended for an honors calculus course or for an introduction to analysis. Involving rigorous analysis, computational dexterity, and a breadth of applications, it is ideal for undergraduate majors. This second edition includes corrections as well as some additional material. Some features of the text: The text is completely self-contained and starts with the real number axioms; the integral is defined as the area under the graph, while the area is defined for every subset of the plane; there is a heavy emphasis on computational problems, from the high-school quadratic formula to the formula for the derivative of the zeta function at zero; there are applications from many parts of analysis, e.g., convexity, the Cantor set, continued fractions, the AGM, the theta and zeta functions, transcendental numbers, the Bessel and gamma functions, and many more; traditionally transcendentally presented material, such as infinite products, the Bernoulli series, and the zeta functional equation, is developed over the reals.
521			_aAll.
650		0	_aCalculus _vTextbooks.
650		0	_aMathematical analysis _vTextbooks.
852			_p44463 _9734.45 _h515 HIJ-I _bGround Floor _dBooks _t1 _q1-New _aJZL-CUI
999			_c69656 _d69656