The textbook contains a description of modern mathematical methods used in research in the field of economics and jurisprudence. It is developed in accordance with the program of the discipline "the use of mathematical methods in the conduct of dissertation research", taught to graduate students of the Russian Customs Academy, studying under the program of additional professional education "teacher of higher education" . Designed for independent work of graduate students . The materials of the textbook can also be useful for students, graduate students and teachers of the Russian Customs Academy dealing with modeling issues in the field of economics and jurisprudence ; Grif:Admitted by the Scientific and Technical Council of the Russian Customs Academy as a textbook for graduate students enrolled in the program of additional professional education "Teacher of higher education"