000 02264nam a22002177a 4500
003 OSt
005 20240830152816.0
008 220621b |||||||| |||| 00| 0 eng d
020 _a9783662057988
040 _cDonation by Prof. A S Vasudeva Murthy
_aICTS-TIFR
050 _aQA11.2
100 _aEriksson, K
245 _aApplied Mathematics: Body and Soul
_b: Integrals and Geometry in IRn: Volume 2
260 _aNew York:
_bSpringer,
_c[c2004]
300 _a404 p
505 _a27. The Integral 28. Properties of the Integral 29. The Logarithm log(x) 30. Numerical Quadrature 31. The Exponential Function exp(x) = e x 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
520 _aApplied 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.
700 _aEstep, Don
700 _aJohnson, Claes
942 _2lcc
_cBK
999 _c3171
_d3171