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Survey of applicable mathematics (2nd revised ed.) volumes 1 & 2 (Mathematics & its applications 280/281) (2nd Ed., 2nd ed. 1994. Softcover reprint of the original 2nd ed. 1994) Mathematics and Its Applications Series, Vol. 280/281

Langue : Anglais

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Couverture de l’ouvrage Survey of applicable mathematics (2nd revised ed.) volumes 1 & 2 (Mathematics & its applications 280/281)
An extensively revised and updated handbook (1st English ed., 1969) prepared simultaneously with the 6th Czech edition. The 37 chapters cover all the important mathematical fields of use in applications: algebra, geometry, differential and integral calculus, infinite series, orthogonal systems of fu
Volume I Foreword. Prefaces. List of symbols and notation. 1. Arithmetic and Algebra, V. Vilhelm. 2. Trigonometric and Inverse Trigonometric Functions. Hyperbolic and Inverse Hyperbolic Functions, V. Vilhelm. 3. Some Formulae (Areas, Circumferences, Volumes, Surfaces, Centroids, Moments of Inertia), V. Vilhelm. 4. Plane Curves and Constructions, K. Drábek. 5. Plane Analytic Geometry, M. Zelenka. 6. Solid Analytic Geometry, F. Kejla. 7. Vector Calculus, F. Kejla, K. Rektorys. 8. Tensor Calculus, V. Vilhelm. 9. Differential Geometry, B. Kepr. 10. Sequences and Series of Constant Terms. Infinite Products, K. Rektorys. 11. Differential Calculus of Functions of a Real Variable, K. Rektorys. 12. Functions of Two or More Variables, K. Rektorys. 13. Integral Calculus of Functions of One Variable, K. Rektorys. 14. Integral Calculus of Functions of Two and More Variables, k. Rektorys. 15. Sequences and Series with Variable Terms (Sequences and Series of Functions), K. Rektorys. 16. The Space L2. Orthogonal Systems. Fourier Series. Some Special Functions (Bessel Functions, etc.), K. Rektorys. References. Index. Volume II Preface. List of symbols and notations. 17. Ordinary Differential Equations, K. Rektorys. 18. Partial Differential Equations, K. Rektorys. 19. Integral Equations, k. Rektorys. 20. Functions of One and More Complex Variables, K. Rektorys, J. Fuka. 21. Conformal Mapping, J. Fuka. 22. Fundamentals of the Theory of Sets and Functional Analysis, K. Rektorys. 23. Calculus of Variations, F. No&zcaron,i&ccaron,ka. 24. Variational Methods for Numerical Solution of Boundary-Value Problems for Differential Equations. Finite Element Method. Boundary Element Method, M. Prá,ger. 25. ApproximateSolution of Ordinary Differential Equations, E. Vitá,sek. 26. Solution of Partial Differential Equations by Infinite Series (by the Fourier Method), K. Rektorys. 27. Solution of Partial Differential Equations by the Finite-Difference Method, E. Vitá,sek. 28. Integral Transforms (Operational Calculus), J. Ne&ccaron,as. 29. Approximate Solution of Fredholm's Integral Equations, K. Rektorys. 30. Numerical Methods in Linear Algebra, J. Segethová,, K. Segeth. 31. Numerical Solution of Algebraic and Transcendental Equations, M. Fiedler. 32. Approximation. Interpolation, Splines, E. Vitá,sek. 33. Probability Theory, T. Cipra. 34. Mathematical Statistics, T. Cipra. 35. Topics in Statistical Inference, T. Cipra. 36. Stochastic Processes, T. Cipra. 37. Linear Programming, F. No&zcaron,i&ccaron,ka. References. Index.

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