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Mathematics
Many of you have probably heard of the term "complex system". "butterfly effect", "chaos", "fractal", and so on have become buzzwords for a while. Surprisingly, it seems that you don't really know what the "science of complex systems" represented by these words is or how it differs from conventional science. / For example, the "fractal figures" that are unique to the science of complex systems are not one dimensional or two dimensional, but have dimensions represented by decimal numbers. In addition, some figures have curves of infinite length even though their area is finite. In addition, there are figures with an area of 0! / However, the science of complex systems is by no means a "special science" with different colors. The Newton's scientific revolution has come close to completion thanks to the theory of relativity and quantum mechanics, and now looks like a great success. In fact, however, the mystery of how the universe began and how life was born is still unknown. It is said to be the limit of modern science that is "predictable" and "linear". / On the other hand, the science of complex systems is "unpredictable" and "nonlinear" science. In order to solve the mysteries of the universe and life, the science of complex systems is thought to be indispensable, and its birth is said to be the "second scientific revolution" that overturns modern science. / The author of this book, who won the Japanese Mathematical Society Publishing Award, wrote about why the science of complex systems is a new science, without using mathematical formulas. In order to solve the mysteries of the universe and life, it is said to be the "second scientific revolution" that overturns modern science. / In contrast, the science of complex systems is "unpredictable" and "non-linear" science. In order to solve the mysteries of the universe and life, the science of complex systems is thought to be indispensable, and its birth is said to be the "second scientific revolution" that overturns modern science. / The author of this book, who won the Japan Mathematical Society Publishing Award, wrote about why the science of complex systems is a new science, so that even literary readers can easily read it without using mathematical formulas. By following the thrilling story that begins with the discovery of unbelievable phenomena with many amazing figures, you can easily understand the nature of complex systems. If you want to know complex systems, you should read it first. / Structure of this book / Chapter 1 Modern Paradigms / Chapter 2 Chaos / Chapter 3 Fractal / Chapter 4 Life Game