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Mathematical Methods of Engineering Analysis

Mathematical Methods of Engineering AnalysisErhan C inlarRobert J. VanderbeiFebruary 2, 2000 ContentsSets and Functions11 Sets ..1 Subsets ..2 Set Operations ..2 Disjoint Sets ..3 Products of Sets ..32 Functions and Sequences ..4 Injections, Surjections, Bijections ..4 Sequences ..53 Countability ..64On the Real Line ..8 Positive and Negative ..9 Increasing, Decreasing ..9 Bounds ..9 Supremum and Infimum ..9 Limits ..10 Convergence of Sequences ..115 Series ..14 Ratio Test, Root Test ..16 Power Series ..17 Absolute Convergence ..18 Rearrangements ..19 Metric Spaces236 Euclidean Spaces ..23 Inner Product and Norm ..23 Euclidean Distance ..247 Metric Spaces ..25 Usage ..26 Distances from Points to Sets and from Sets to Sets.

Mathematical Methods of Engineering Analysis Erhan C¸inlar Robert J. Vanderbei February 2, 2000

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