By Kenneth Eriksson, Donald Estep, Claes Johnson

Applied arithmetic: physique & Soul is a arithmetic schooling reform undertaking built at Chalmers collage of expertise and features a sequence of volumes and software program. this system is influenced through the pc revolution starting new possibilitites of computational mathematical modeling in arithmetic, technological know-how and engineering. It includes a synthesis of Mathematical research (Soul), Numerical Computation (Body) and alertness. Volumes I-III current a latest model of Calculus and Linear Algebra, together with constructive/numerical thoughts and purposes meant for undergraduate courses in engineering and technology. extra volumes current subject matters reminiscent of Dynamical structures, Fluid Dynamics, strong Mechanics and Electro-Magnetics on a sophisticated undergraduate/graduate point.

The authors are best researchers in Computational arithmetic who've written quite a few winning books.

**Read Online or Download Applied Mathematics: Body and Soul: Calculus in Several Dimensions PDF**

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**Applied Mathematics: Body and Soul: Calculus in Several Dimensions**

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**Extra resources for Applied Mathematics: Body and Soul: Calculus in Several Dimensions**

**Sample text**

14 An Analog Integrator . . . . . . 1 Introduction..................... 2 Reversing the Order of Upper and Lower Limits. 3 The Whole Is Equal to the Sum of the Parts. . 17 Contents Volume 2 Integrating Piecewise Lipschitz Continuous Functions Linearity............. Monotonicity . . . . . The Triangle Inequality for Integrals Differentiation and Integration are Inverse Operations . . . . Change of Variables or Substitution. Integration by Parts . . . . . The Mean Value Theorem.

5 Combinations of Trigonometrie and Root Functions. 7 Products of Polynomials and Logarithm Functions . 1 Introduction.................. (x)u(x) + f(x) . . 3 The Differential Equation u"(x) - u(x) = 0 . 5 The Differential Equation 2:~=o akDku(x) = f(x) . 6 Euler's Differential Equation. . . . . . . 1 Introduetion.............. 2 Integrals Over Unbounded Intervals . 3 Integrals of Unbounded Functions . 1 Introduetion . . . . . . . . 3 Positive Series . . . .

24 The Area of a Triangle with a Corner at the Origin . 25 The Area of a General Triangle . . . . . . 26 The Area of a Parallelogram Spanned by Two Vectors . . . . . 27 Straight Lines . . . . . . 29 When Are Two Lines Parallel? 30 A System of Two Linear Equations in Two U nknowns . . . . . . . . 31 Linear Independence and Basis . . . . 32 The Connection to Calculus in One Variable. 33 Linear Mappings f : ~2 ----* ~. • . 34 Linear Mappings f : ~2 ----* ~2 . . . . .