An Analytical Calculus: Volume 4 : For School and University (Paperback)

Preface; Introduction; Part I: Ordinary differential equations; 19. Equations of the form y'=f(x. y); 20. Linear differential equations: general properties; 21. The linear differential equation with constant coefficients; 22. The linear differential equation with constant coefficients: alternative method; Part II: The definition of functions by infinite series and integrals; 23. The convergence of series; 24. The definition of functions by series; 25. Power series; 26. The definition of functions by integrals; 27. The solution of differential equations in terms of infinite series; 28. Fourier series; Part III: Laplace's equation and related equations; 29. The transformation of Laplace's equation; 30. 'Laplace' equations; 31. Spherical harmonics; Answers to examples; Index.