Mathematics

"I like the author's preferences of footnotes.They often emphasize the history, the details of the lives of many mathematicians that appear on these pages.Their comments are fun to what I think is very good Add a special dimension of pleasure At the appropriate level, it has prepared a lot of preparation for the future of future students, and it did a good job. "

Advanced mathematics textbooks are exploring important themes of graduate students in pure mathematics and applied mathematics. The topics covered in this textbook cover important areas of other interdisciplinary graduate programs including master's degree, doctoral course, and mathematics.

This series provides the latest discovery and application on current topics in mathematical analysis in a wide range of fields. These quantities are more concentrated than is common in standard textbooks and these quantities provide an accessible research frontier for researchers and graduate students. It is useful not only for individual learning but also for graduate school and advanced undergraduate course and research seminar. This series of articles is interested not only by mathematicians but also by scientists in other fields.

Applied mathematics focuses on mathematical methods commonly used in science, engineering, business, and industry. Therefore, "applied mathematics" is mathematical science with expert knowledge. Applied mathematics also refers to the professional character of mathematicians who tackle practical problems and as professionals focusing on practical problems, applied mathematics is the development of mathematical models in the fields of science, engineering and other mathematical practices , Focusing on research and use.

Traditional division of mathematics is pure mathematics, essential interest research into mathematics, applied mathematics, and mathematics that can be applied directly to real world problems. This division is not necessarily clear, and many subjects have evolved into pure mathematics to find unexpected applications in the future. Recently, there are widely disagreed opinions such as discrete mathematics and computational mathematics. With an ideal classification system, new fields can be added to the organization of prior knowledge, amazing discoveries and unexpected interactions are incorporated into outlines. For example, Langlands is planning to find unexpected connections between areas previously considered irrelevant, at least Galois, Riemannian aspect, and number theory.

It is usually difficult to find the right mathematical problem than to find mathematical answers. The following is an extensive explanation of some of the things related to my own research, which is very exciting in today's pure mathematics and is called the principle of impossible intersection. Broadly speaking, the idea is that arithmetic and geometry should not interact in an unexpected way without justifiable reasons. Think about drawing graphics on an airplane. This is a lot of things to do at school. The points on these graphs have two coordinates, usually called x and y. If you draw a random graph (geometric object) on the plane, many points on the graph will not have x and y coordinates. Both are rational numbers (integer scores, arithmetic objects).