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Applied Mathematics: Body and Soul II

Volume 2: Integrals and Geometry in IRn

Erschienen am 17.10.2003, 1. Auflage 2004
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Bibliografische Daten
ISBN/EAN: 9783540008897
Sprache: Englisch
Umfang: xlvi, 352 S.
Format (T/L/B): 2.7 x 24.1 x 16.3 cm
Einband: gebundenes Buch

Beschreibung

InhaltsangabeVolume 2.- 27 The Integral.- 28 Properties of the Integral.- 29 The Logarithm log(x).- 30 Numerical Quadrature.- 31 The Exponential Function exp(x) = ex.- 32 Trigonometric Functions.- 33 The Functions exp(z), log(z), sin(z) and cos(z) forz ? ?.- 34 Techniques of Integration.- 35 Solving Differential Equations Using the Exponential.- 36 Improper Integrals.- 37 Series.- 38 Scalar Autonomous Initial Value Problems.- 39 Separable Scalar Initial Value Problems.- 40 The General Initial Value Problem.- 41 Calculus Tool Bag I.- 42 Analytic Geometry in ?n.- 43 The Spectral Theorem.- 44 Solving Linear Algebraic Systems.- 45 Linear Algebra Tool Bag.- 46 The Matrix Exponential exp(xA).- 47 Lagrange and the Principle of Least Action*.- 48 N-Body Systems*.- 49 The Crash Model*.- 50 Electrical Circuits*.- 51 String Theory*.- 52 Piecewise Linear Approximation.- 53 FEM for Two-Point Boundary Value Problems.- References.

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Hersteller:
Springer Verlag GmbH
juergen.hartmann@springer.com
Tiergartenstr. 17
DE 69121 Heidelberg

Inhalt

27. The Integral.- 28. Properties of the Integral.- 29. The Logarithm log (x).- 30. Numerical Quadrature.- 31. The Exponential Function exp(x) = ex.- 32. Trigonometric Functions.- 33. The Functions exp(z), log(z), sin(z), and cos(z) for z__C.- 34. Techniques of Integration.- 35. Solving Differential Equations Using the Exponential.- 36. Improper Integrals.- 37. Series.- 38. Scalar Autonomous Initial Value Problems.- 39. Separable Scalar Initial Value Problems.- 40. The General Initial Value Problem.- 41. Calculus Tool Bag I.- 42. Analytic Geometry in Rn.- 43. The Spectral Theorem.- 44. Solving Linear Algebraic Systems.- 45. Linear Algebra Tool Bag.- 46. The Matrix Exponential exp(xA).- 47. Lagrange and the Principle of Least Action.- 48. N-Body Systems.- 49. The Crash Model.- 50. Electrical Circuits.- 51. String Theory.- 52. Piecewise Linear Approximation.- 53. FEM for Two-Point Boundary Value Problems.