Mathematics and Its connections to Real World: Connections of Mathematics to nature (Paperback)

Research in applications of Mathematics has experienced explosive growth in the last few decades. This book finds the relationship between the real world and mathematics. The mathematics is already there in nature in the form of symmetry and sequences. Many medical therapies use Kinds of music/songs recently. The mathematics is behind the wavelength calculation. One chapter describes such relationship of mathematics and music. Ancient and recent architectures include the Golden ratio relationship. Few chapters describe such a relationship between mathematics and industry. Business and optimisations of profit and loss directly connect to mathematics. One chapter analyses the business theory of mathematics. Computer and mathematics are highly co-related subjects. Internet/banking security is the most important topic in these days. This book includes a few chapters on the security of internet bankings. The research on modern mobile/video games and Social networks are also benefited from the theory of vectors, probability and graph theory. Ultimately, this book presents an overall relationship between the real world and mathematics. In Chapter 1, a review of world-famous mathematicians from the ancient era has been depicted. Their mathematical/ scientific contributions and a glimpse of their life have been shown. Also, a country-wise list of mathematical contributors has been included. In Chapter 2, the relation between Mathematics and nature is shown. Symmetry, patterns which are available in nature have been connected to Mathematics. Fibonacci series is also been shown to attach in nature. In the later chapter, the details the golden ratio is discussed. The relation of the golden ratio with ancient and recent architecture has been shown. The details of networks and the related theory of graphs have been shown in Chapter 4. Graph theory is an essential branch of Discrete Mathematics. It has direct connections to the reality of representations. This chapter reflects all the relations of graph theory. In Chapter 5, a study on vector algebra and video games have been described. Thus Mathematics is the backbone of video games. This chapter describes all such relations.In Chapter 6, a study on sensor networks has been done. This chapter illustrates the relation between Mathematics and Computer Sciences. In the following chapter, Cryptography in E-Commerce has been shown. In Chapter 8, a relation between Mathematics and Commerce has been shown. It describes the mainstay of commerce and business pursuits. Usage of eigenvectors in face recognition is described in Chapter 9. In Chapter 10, a beautiful relation between Mathematics and Music has been shown. Fourier series is directly related to musical tone. Moreover, in the last chapter, a relation is found between Mathematics and food biomass. In Chapter 11, application of Mathematical Models in Food Science and Biomass Production are described. These mathematical concepts, when used in this field, help understand the chemical behaviour of many complex substances. The processes of food deterioration and production of biomass can be studied, and further steps can be taken to improve the efficiency of these processes. Chemical kinetics is used to predict the quality of food after a duration of time and help in predicting the expiry or 'use by' date for foods. It is also used in determining the time for which a fuel (like biomass) will last. Mathematical tools in the Field of Economics have been analyzed in Chapter 12. Mathematics may be a fundamental part of human thought and logic, and integral to attempts at understanding the planet and ourselves. The application of mathematical tools is to express the economic problem in a wide range with more meaningfully & logically. During the last few decades, these mathematical tools are widely used for the significant result of economic analysis.