Principles of Mathematical Analysis |
Contents
Preface V | 1 |
ELEMENTS OF SET THEORY | 21 |
NUMERICAL SEQUENCES AND SERIES | 41 |
Copyright | |
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a₁ B₂ bounded variation C'-mapping called Cauchy sequence choose complex numbers continuous function continuous on a,b converges uniformly Corollary countable set Definition denote diverges Example Exercise exists f is differentiable finite fn(x follows Fourier series function defined function f ƒ and g ƒ ɛ ƒ is continuous given Hence Hint holds implies inequality integer integral interval k-form Lebesgue Lebesgue integral Let f lim inf lim sup limit point linear measurable functions metric space monotonic functions neighborhood nonnegative notation number system obtain open set P₁ partial sums partition polynomials positive integer properties Prove rational numbers real function real numbers Riemann integral say that f shows Suppose f Theorem uniform convergence uniformly continuous upper number variation on a,b vector space y₁