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AuthorSmith, Kennan T. author
TitlePower Series from a Computational Point of View [electronic resource] / by Kennan T. Smith
ImprintNew York, NY : Springer New York, 1987
Connect tohttp://dx.doi.org/10.1007/978-1-4613-9581-2
Descript VIII, 132 p. online resource

CONTENT

1. Taylor Polynomials -- 1. Taylor Polynomials -- 2. Exponentials, Sines, and Cosines -- 3. The Geometric Sum -- 4. Combinations of Taylor Polynomials -- 5. Complex Taylor Polynomials -- Problems -- 2. Sequences and Series -- 1. Sequences of Real Numbers -- 2. Sequences of Complex Numbers and Vectors -- 3. Series of Real and Complex Numbers -- 4. Picardโ{128}{153}s Theorem on Differential Equations -- 5. Power Series -- 6. Analytic Functions -- 7. Preview -- Problems -- 3. Power Series and Complex Differentiability -- 1. Paths in the Complex Plane C -- 2. Path Integrals -- 3. Cauchyโ{128}{153}s Integral Theorem -- 4. Cauchyโ{128}{153}s Integral Formula and Inequalities -- Problems -- 4. Local Analytic Functions -- 1. Logarithms -- 2. Local Solutions to Analytic Equations -- 3. Analytic Linear Differential Equations -- Problems -- 5. Analytic Continuation -- 1. Analytic Continuation Along Paths -- 2. The Monodromy Theorem -- 3. Cauchyโ{128}{153}s Integral Formula and Theorem -- Problems


Mathematics Mathematical analysis Analysis (Mathematics) Mathematics Analysis



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