000			01634nam a2200193 4500
001			14683453
010			_a 2006053462
020			_a9780486833651
082	0	0	_a515 _bHOF/A
100	1		_aHoffman, Kenneth
245	1	0	_aAnalysis in Euclidean space
260			_aMineola, N.Y. _bDover Publications _c2007
300			_axiv, 432 p. _bill. ;
500			_aOriginally published: Englewood Cliffs, N.J. : Prentice-Hall, 1975.
520			_aDeveloped for an introductory course in mathematical analysis at MIT, this text focuses on concepts, principles, and methods. Its introductions to real and complex analysis are closely formulated, and they constitute a natural introduction to complex function theory. Starting with an overview of the real number system, the text presents results for subsets and functions related to Euclidean space of n dimensions. It offers a rigorous review of the fundamentals of calculus, emphasizing power series expansions and introducing the theory of complex-analytic functions. Subsequent chapters cover sequences of functions, normed linear spaces, and the Lebesgue interval. They discuss most of the basic properties of integral and measure, including a brief look at orthogonal expansions. A chapter on differentiable mappings concludes the text, addressing implicit and inverse function theorems and the change of variable theorem. Exercises appear throughout the book, and extensive supplementary material includes a bibliography, list of symbols, index, and appendix with background in elementary set theory
650		0	_aMathematical analysis.
650		0	_aAlgebraic spaces.
942			_cBK
999			_c64417 _d64417