Mathematician’s contributions to modern-day mathematics
Sir Isaac Newton is one of the prominent mathematicians who was an exemplary figure in the 17th century’s scientific revolution. He made numerous mathematical contributions that are still significant in the modern day. For example, he developed the fundamental calculus theorem that links integration and differentiation concepts (West, 5). The theorem enables mathematicians and students to relate derivatives and evaluate definite integrals easily. Besides, it is crucial to the entire development and operations involving calculus as it provides a relationship between two critical aspects of calculus: integration and differentiation.
Additionally, Newton played an integral role in developing the binomial expression formula. He offered a generalized expression of the binomial theorem, making it possible to expand quadratic expressions easily (West, 5). The theory is significant to modern-day mathematics as it is often used in advanced mathematics to establish equations and roots in higher powers. The generalized expression is substantial in proving various mathematics and physics concepts and calculating costs in different settings. Through the generalized expression of the binomial theorem, mathematicians can integrate operations to complex and real exponents, prove the general theorem, and justify the binomial theorem.
Influence of mathematics on modern day life
Newton’s contribution to mathematics has positively influenced modern-day life in numerous ways. For example, the fundamental calculus theorem has enabled students to easily determine the area under the tangent line at different points of a graph. Calculus is extensively integrated into engineering, economics, mechanics, statistics, chemistry, and physics, indicating the fundamental role of calculus theorems in these fields. Calculus is also essential to scientists, medical professionals, economists, and engineers. For example, doctors can apply the theorem to investigate bacterial culture and the growth of different substances (Jan et al., 2497). Besides, the idea can be used in chemistry to predict the rates and functions of chemical reactions and establish significant information on radioactive decay reactions.
On the other hand, the generalized expression of the binomial theorem is applied in architecture, weather forecasts, and engineering projects to develop significant aspects related to these fields. Similarly, the generalized binomial theorem determines forces that may not be expressed using algebraic identities. The theorem is also applied in information technology to assess computer addresses and automatic IP distribution, which is significant for computer networking. Economics also widely uses the generalized expression of the binomial theorem in economic forecasting to assess the growth of an organization, country, and different businesses.
Importance of mathematics
Mathematics is widely applied in most occupations as it exists implicitly in most tasks and jobs that are not entirely mathematical. Employees require specific mathematical skills to complete tasks proficiently regardless of the job level. Not only are mathematical skills a prerequisite for most professions, but there is a strong interrelation between the mathematical proficiency of most careers and professional competence (Fitzmaurice et al., 2). Besides, mathematics is fundamental to human logic and thoughts and crucial to individual attempts to understand the world. Specifically, this is achieved by providing practical techniques to develop mental discipline and promote cognitive rigor and logical reasoning.
Mathematics also develops individuals’ problem-solving skills by enabling them to use numbers, responses, and communication for critical thinking, rational analysis, and solving problems. Problem-solving is systematically developed to allow individuals to integrate existing knowledge or develop new ways to resolve issues. The mathematical skills developed by learning mathematics enable individuals to understand different concepts and apply relevant skills to reflect, analyze, and integrate information (Fitzmaurice et al., 10). Specifically, this is enabled by evaluation skills that allow individuals to apply mathematical knowledge to solve real-world problems. The problem-solving skills are also integral to occupational and personal life, innovative research, and the public arena.
References
Fitzmaurice, Olivia, Niamh O’Meara, and Patrick Johnson. “Highlighting the Relevance of Mathematics to Secondary School Students–Why and How.” European Journal of STEM Education 6.1 (2021): 7.
Jan, Asif, et al. “Dynamical analysis, infections in plants, and preventive policies utilizing the theory of fractional calculus.” The European Physical Journal Special Topics 232.14 (2023): 2497-2512.
West, Bruce J. “Sir Isaac Newton stranger in a strange land.” Entropy 22.11 (2020): 1204.
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