Engineering involves applying scientific principles and mathematics to design solutions to practical problems. Engineers identify problems, conduct research, conceptualize and prototype solutions, test designs through iterations, and work to implement optimized solutions. Creativity in engineering allows engineers to think outside the box and develop novel solutions through techniques like brainstorming, cross-disciplinary learning, and embracing failure. The scientific method provides a systematic process for engineers to form hypotheses, conduct experiments, analyze data, and draw conclusions to advance engineering designs.