Fundamentals of Abstract AnalysisTaylor & Francis, 1991 - 416 Seiten This classic is an ideal introduction for students into the methodology and thinking of higher mathematics. It covers material not usually taught in the more technically-oriented introductory classes and will give students a well-rounded foundation for future studies. |
Inhalt
I | 1 |
Logic | 6 |
The SetTheoretic Machinery | 29 |
Urheberrecht | |
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Häufige Begriffe und Wortgruppen
analytic function argument axiom of choice bijection binary operation called cardinal Cauchy sequence choose compact complex numbers compute configurations connected continuous function Corollary countable definition denote direct product domain element equivalence relation example Exercise exists finite number finite set follows formal function g ƒ and g Hence homeomorphism implies induction inequality infinite injective integer intuitive isomorphism Lemma Let f Let ƒ lim inf lim sup lim sup xn lim zn linearly ordered mathematics metric space natural numbers neighborhood nonnegative nonvoid notation number system open set order-preserving ordered field ordered pairs ordered set positive number power series Proof properties propositional scheme prove quantifiers quotient set radius of convergence rational numbers real numbers sequence of complex set theory Show simple chain subchain subspace Suppose ƒ surjective symbol theorem topological unique weak order relation