Application of Mathematical Techniques for Engineering and Science Practice

Mathematics is a veritable tool for data analysis, process development, engineering design and also in the analysis of various steps involved in different aspects of experimental investigation for the engineering and science practice. It has helped in the development of the world globally and without which there will be no automobiles, ships, bridges, skyscrapers, aircrafts, video games, television, mobile phones and essentially all electronic devices etc.

A fundamental knowledge of the theoretical basis for many mathematical applications as well as their use in the development and application of several software are very important in their deployment for solving engineering and scientific problems. This is particularly important in equipment and plant design, scale-up and in process development and research.

In today s world, the importance of mathematics cannot be overemphasized because it is applied all around us in everything we do in our day to day activities. It can be defined as the language of engineering and physical science or simply put as the vocabulary adopted in the understanding and discharging of scientific concepts describing the physics of a problem. It can be stated therefore that putting everything together in engineering without mathematics means nothing. This implies that engineering plus mathematics is creativity and innovation. Thus, it is very important to learn the step-by-step approach of all fundamental mathematics needed for the study of engineering and science practice.

Furthermore, the knowledge of mathematics is needed in all engineering discipline such as petroleum engineering whose job is to extract oil and gas in areas where they are found. They work with the geologist whose duty is to study the solid and liquid matter that constitutes the Earth and terrestrial planets to identify fossils (mineralized remains of plant and animal). They also employ the service of other specialists to understand the geologic formation and properties of the rock containing the reservoir, determine the drilling methods to be used, and monitor the drilling and production operations.

Mathematics helps both the geologists and the reservoir engineers to build the static and dynamic models of reservoirs and the scientific theories to bring together different geological phenomena. It is used to estimate the volumes of hydrocarbon initially in place and the amount remaining in the reservoir after production of some volume to aid management decision either to develop the prospect. They attach a time scale to the recovery of the quantity of hydrocarbon in the reservoir. Also to optimise performance of wells and pumps that are installed in the wellbore to get the oil and gas to the surface and the design of surface storage facilities, minimise vessel transportation and the hydrocarbon delivery costs, estimate production capabilities and economic value of oil and gas wells, well testing.

Electrical and Mechanical engineers use mathematics to design, develop, test, and supervise the manufacturing of electrical equipment, engineers, and other mechanical devices. Some of these equipment include electric motors, machinery controls, lighting, wiring in buildings, automobiles, aircraft, radar and navigation systems, power generation, control, and transmission devices used by electric utilities, internal combustion engines, steam and gas turbines, refrigeration and air-conditioning equipment, material handling systems, elevators and escalators, industrial production equipment, and robots used in manufacturing.
This book has been written for those, who desire to have a proper understanding and grasp of Engineering Analysis.

Chemical engineers use mathematics to plan the theoretical modeling of production processes, synthesis techniques, properties of chemical compounds and analysis that takes place on computer models. They also use mathematics frequently in the laboratory.