Numerical C: Applied Computational Programming with Case Studies

Description

Learn applied numerical computing using the C programming language, starting with a quick primer on the C programming language and its SDK. This book then dives into progressively more complex applied math formula for computational methods using C with examples throughout and a larger, more complete application towards the end. Numerical C starts with the quadratic formula for finding solutions to algebraic equations that model things such as price vs. demand or rise vs. run or slip and more. Later in the book, you'll work on the augmented matrix method for simultaneous equations. You’ll also cover Monte Carlo method model objects that could arise naturally as part of the modeling of a real-life system, such as a complex road network, the transport of neutrons, or the evolution of the stock market. Furthermore, the Monte Carlo method of integration examines the area under a curve including rendering or ray tracing and the shading in a region. Furthermore, you'll work with the product moment correlation coefficient: correlation is a technique for investigating the relationship between two quantitative, continuous variables, for example, age and blood pressure. By the end of the book, you'll have a feeling for what computer software could do to help you in your work and apply some of the methods learned directly to your work. Front Matter ....Pages i-xiv Introduction to C (Philip Joyce)....Pages 1-43 Solving Equations (Philip Joyce)....Pages 45-63 Numerical Integration (Philip Joyce)....Pages 65-90 Monte Carlo Integration (Philip Joyce)....Pages 91-113 Matrices (Philip Joyce)....Pages 115-134 Correlation and PMCC (Philip Joyce)....Pages 135-145 Monte Carlo Methods (Philip Joyce)....Pages 147-156 Augmented Matrix (Philip Joyce)....Pages 157-204 File Access (Philip Joyce)....Pages 205-234 Differential Equations (Philip Joyce)....Pages 235-250 Back Matter ....Pages 251-312