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140122 ||| eng |
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|a 9783662057988
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|a Eriksson, Kenneth
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| 245 |
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|a Applied Mathematics: Body and Soul
|h Elektronische Ressource
|b Volume 2: Integrals and Geometry in IRn
|c by Kenneth Eriksson, Donald Estep, Claes Johnson
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| 250 |
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|a 1st ed. 2004
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| 260 |
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|a Berlin, Heidelberg
|b Springer Berlin Heidelberg
|c 2004, 2004
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| 300 |
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|a XLVI, 352 p
|b online resource
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|a Volume 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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| 653 |
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|a Chemometrics
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| 653 |
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|a Engineering mathematics
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| 653 |
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|a Mathematical analysis
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| 653 |
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|a Computational Mathematics and Numerical Analysis
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| 653 |
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|a Mathematics / Data processing
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| 653 |
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|a Linear Algebra
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| 653 |
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|a Analysis
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| 653 |
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|a Mathematical Applications in Chemistry
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| 653 |
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|a Mathematical physics
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| 653 |
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|a Engineering / Data processing
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| 653 |
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|a Algebras, Linear
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| 653 |
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|a Mathematical and Computational Engineering Applications
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| 653 |
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|a Mathematical Methods in Physics
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| 700 |
1 |
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|a Estep, Donald
|e [author]
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| 700 |
1 |
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|a Johnson, Claes
|e [author]
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| 041 |
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7 |
|a eng
|2 ISO 639-2
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| 989 |
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|b SBA
|a Springer Book Archives -2004
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| 028 |
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|a 10.1007/978-3-662-05798-8
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| 856 |
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|u https://doi.org/10.1007/978-3-662-05798-8?nosfx=y
|x Verlag
|3 Volltext
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| 082 |
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|a 515
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| 520 |
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|a Applied Mathematics: Body & Soul is a mathematics education reform project developed at Chalmers University of Technology and includes a series of volumes and software. The program is motivated by the computer revolution opening new possibilities of computational mathematical modeling in mathematics, science and engineering. It consists of a synthesis of Mathematical Analysis (Soul), Numerical Computation (Body) and Application. Volumes I-III present a modern version of Calculus and Linear Algebra, including constructive/numerical techniques and applications intended for undergraduate programs in engineering and science. Further volumes present topics such as Dynamical Systems, Fluid Dynamics, Solid Mechanics and Electro-Magnetics on an advanced undergraduate/graduate level. The authors are leading researchers in Computational Mathematics who have written various successful books
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