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Mathematical Analysis I For Engineers And Beginning Mathematicians by Sever Angel Popescu


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Mathematical Analysis I For Engineers And Beginning Mathematicians written by Sever Angel Popescu This is an other great mathematics book cover the following topics.

  • The real line. 1
    The real line. Sequences of real numbers, Sequences of complex numbers, Problems 29

  • Series of numbers
    Series with nonnegative real numbers, Series with arbitrary terms, Approximate computations, Problems

  • Sequences and series of functions
    Continuous and di§erentiable functions, Sequences and series of functions, Problems

  • Taylor series
    Taylor formula, Taylor series, Problems 93

  • Power series
    Power series on the real line, Complex power series and Euler formulas, Problems 107

  • The normed space Rm:
    Distance properties in Rm, Continuous functions of several variables, Continuous functions on compact sets, Continuous functions on connected sets, The Riemannís sphere, Problems

  • Partial derivatives. Di§erentiability.
    Partial derivatives. Di§erentiability, Chain rules, Problems 163

  • Taylorís formula for several variables.
    Higher partial derivatives. Di§erentials of order k, Chain rules in two variables, Taylorís formula for several variables, Problems 185

  • Contractions and Öxed points
    Banachís Öxed point theorem, Problems 191

  • Local extremum points
    Local extremum points for many variables, Problems

  • Implicitly deÖned functions
    Local Inversion Theorem, Implicit functions, Functional dependence, Conditional extremum points, Change of variables, The Laplacian in polar coordinates, A proof for the Local Inversion Theorem, The derivative of a function of a complex variable, Problems

  • Download Free PDF Mathematical Analysis I For Engineers And Beginning Mathematicians by Sever Angel Popescu
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