By Kenneth Eriksson, Donald Estep, Claes Johnson

Applied arithmetic: physique & Soul is a arithmetic schooling reform venture constructed at Chalmers college of expertise and features a sequence of volumes and software program. this system is prompted through the pc revolution establishing new chances of computational mathematical modeling in arithmetic, technological know-how and engineering. It involves 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 suggestions and purposes meant for undergraduate courses in engineering and technology. extra volumes current subject matters equivalent to Dynamical platforms, Fluid Dynamics, sturdy Mechanics and Electro-Magnetics on a complicated undergraduate/graduate point.

The authors are best researchers in Computational arithmetic who've written numerous winning books.

**Read Online or Download Applied Mathematics: Body and Soul: Volume 1: Derivatives and Geometry in IR3 PDF**

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**Additional resources for Applied Mathematics: Body and Soul: Volume 1: Derivatives and Geometry in IR3**

**Example text**

1) which expresses the equality of total cost and available money. This is an equation involving the unknown x and data determined by the physical situation. From this equation, your roommate can figure out how much beef to buy. 67 pounds of meat. 33, and finally the amount of potatoes 3 x 2/3 = 2 pounds. The mathematical model for this situation is 15x = 10, where x is the amount of meat, 15x is the total cost and 10 is the available money. The modeling consists in expressing the total cost of the ingredients 15x in terms of the amount of beef x.

Basic Properties of the Complex Integral . Taylor's Formula: First Shot . . Cauchy's Theorem . . . .. Cauchy's Representation Formula Taylor's Formula: Second Shot Power Series Representation of Analytic Functions Laurent Series . . . . . . . Residue Calculus: Simple Poles . . Residue Calculus: Poles of Any Order The Residue Theorem . . . . . Computation of f02 7r R(sin(t), cos(t)) dt . of J_00 p(x) dx . . . 1 Introduction . 3 Warm Up II: Series . . . . . . 4 Complex Fourier Series .

2 Double Integrals over the Unit Square . . . 4 Generalization to an Arbitrary Rectangle . 5 Interpreting the Double Integral as a Volume . . . 10 Contents Volume 3 Extension to General Domains . . . Iterated Integrals over General Domains The Area of a Two-Dimensional Domain The Integral as the Limit of a General Riemann Sum . Change of Variables in a Double Integral . . . . 1 Introduction . . . . . . . . . . 2 Surface Area . . . . . . . . . .