Beschreibung:
Updated and expanded with new topics, this second edition presents the essential core of mathematical principles needed by scientists and engineers. It uses a unique and educational approach that is the signature style of the author's companion books. Starting from the basic concepts of trigonometry, the book covers calculus, differential equations, and vector calculus. A new chapter on applications discusses how we see objects "mathematically" with the eye, how quantum mechanics works, and more.
Part 1 Essential Mathematics: Basic mathematics. Differentiation. Integration. Exponentials and logarithms. Hyperbolic functions. Infinite series. Part 2 Advance Mathematics: Ordinary differential equations. Laplace transforms. Vector analysis. Partial derivatives. Multiple integrals. Fourier series. Special functions. Partial differential equations.