Final answer:
Engineering is the application of mathematics and sciences to create systems and processes benefiting society, requiring an engineer to combine these tools with creativity to solve practical problems. Both historical and modern examples of engineering show the continuous integration of science, math, and inventive problem-solving. Knowledge in these areas is crucial for a successful career in engineering.
Step-by-step explanation:
The subject in question is Engineering, which is the practical application of mathematics and sciences to invent, design, and produce systems, processes, machines, and structures that benefit society. In engineering, an engineer applies both mathematical and scientific knowledge to solve practical problems, create goods, and refine processes. The engineering design process involves a series of steps to develop products that balance quality, performance, and cost, applying math and science at each stage to optimize resources and meet specific societal needs.
Engineers must possess various skills, such as the ability to apply knowledge of math and science, design and conduct experiments, analyze and interpret data, and design systems or processes within realistic constraints. These constraints can include economic, environmental, social, political, and ethical considerations, as well as health and safety, manufacturability, and sustainability.
Historically, engineering practice required ingenuity even in the absence of comprehensive scientific understanding, as seen in the construction of medieval cathedrals. Today, engineers continue to blend scientific understanding and creative problem-solving to achieve technical milestones. Thus, studying mathematics and science is critical for aspiring engineers, as these subjects form the foundation for engineering education and are essential tools in the engineering design process.