Modern Methods in Mathematical Physics

Introduction.- Fundamentals. Classification of integral equations.- Integral equations with difference kernels.

Vladimir Ryzhov works at the SMTU since 1984, and is Head of Applied Math and Math Modeling Department, Director of «e-Learning, Science & Technology Center», Professor, Doctor of Technical Sciences. His teaching background is engaged in developing innovative methods and models of training on subjects of the department with a special focus on e-learning courses. He developed methods of knowledge testing for research engineering disciplines. He has extensive experience in educational (academic and corporative) and research projects management. He trains Ph.D. students in fluid mechanics. He is a member of the Academic Degree Councils and has a large experience in Ph.D. thesis quality assessment. He is an author of more than 100 scientific publications. He was the coordinator of international projects (TEMPUS, ERASMUS programs).






Tatiana Fedorova works at the SMTU since 1994, is Associate Professor of the Department of Applied Mathematics and Mathematical Modeling, and holds Ph.D. in theoretical physics. The area of her research experience lies in the field of many-body interactions in complex systems. She teaches a wide range of disciplines at graduate and postgraduate levels. She has a special interest in developing e-learning courses of theoretical orientation. She is involved in graduate and postgraduate student supervision in the fields of mathematical and computer modeling. She is an author of 25 articles. She has extensive experience in teamwork and international cooperation.Kirill Safronov works at the SMTU since 2015 and is an Assistant Professor of Applied Mathematics and Mathematical Modeling Department. He has held the position of an Assistant Professor. He is engaged in developing innovative methods and models of teaching on mathematical subjects. He has work experience in the primary field of the department (he works for Wärtsila Ltd as a Modeling Engineer). He is a developer of syllabi of the

"The methods in Modern Methods are not particularly modern, dating back a century, though of course, the use of Mathematica is more modern. The use of Mathematica is a major strength of the book. The authors present many examples, and give the reader the tools to pursue more examples, making its subject more tangible." (John D. Cook, MAA Reviews, June 17, 2023)