This volume in the EncyclopediaofComplexityandSystems Science Second Editi...This volume in the Encyclopedia of Complexity and Systems Science Second Edition is devoted to the fundamentals of Perturbation Theory (PT) as well as key applications areas such as Classical and Quantum Mechanics Celestial Mechanics and Molecular...more
This book is an extended version of lectures given by the ?rst author in 1995-...This book is an extended version of lectures given by the ?rst author in 1995-1996 at the Department of Mechanics and Mathematics of Moscow State University. We believe that a major part of the book can be regarded as an additional material to the...more
It appears that we live in an age of disasters: the mighty Missis- sippi and M...It appears that we live in an age of disasters: the mighty Missis- sippi and Missouri flood millions of acres earthquakes hit Tokyo and California airplanes crash due to mechanical failure and the seemingly ever increasing wind speeds make the...more
This collection of papers presents a series of in-depth examinations of a vari...This collection of papers presents a series of in-depth examinations of a variety of advanced topics related to Boolean functions and expressions. The chapters are written by some of the most prominent experts in their respective fields and cover...more
This monograph now in a thoroughly revised second edition develops the theory ...This monograph now in a thoroughly revised second edition develops the theory of stochastic calculus in Hilbert spaces and applies the results to the study of generalized solutions of stochastic parabolic equations. The emphasis lies on second-order...more
Developed from the author s popular graduate-level course Computational Number...Developed from the author s popular graduate-level course Computational Number Theory presents a complete treatment of number-theoretic algorithms. Avoiding advanced algebra this self-contained text is designed for advanced undergraduate and...more
This volume presents modern trends in the area of symmetries and their applica...This volume presents modern trends in the area of symmetries and their applications based on contributions to the Workshop Lie Theory and Its Applications in Physics held in Sofia Bulgaria (on-line) in June 2021. Traditionally Lie theory is a tool...more
Because the theoryof equations with delay terms occurs in a variety of contex...Because the theory of equations with delay terms occurs in a variety of contexts it is important to provide a framework whenever possible to handle as many cases as possible simultaneously so as to bring out a better insight and understanding of the...more
Systemsand control theories use sophisticated operator theoretical methods. T...Systems and control theories use sophisticated operator theoretical methods. They also provide new ideas and problems in operator theory. As a consequence the biannual MTNS (Mathematical Theory of Networks and Systems) conference is attended by many...more
Statistical inferential methods are widely used in the study of various physic...Statistical inferential methods are widely used in the study of various physical biological social and other phenomena. Parametric estimation is one such method. Although there are many books which consider problems of statistical point estimation...more
The notion of stopping times is a useful one in probability theory; it can be ...The notion of stopping times is a useful one in probability theory; it can be applied to both classical problems and new ones. This book presents this technique in the context of the directed set stochastic processes indexed by directed sets and...more
Contains more than fifty carefully refereed and edited full-length papers on t...Contains more than fifty carefully refereed and edited full-length papers on the theory and applications of mathematical methods arising out of the Fourth International Conference on Mathematical Methods in Computer Aided Geometric Design held in...more
The book places emphasis on both the mathematical significance and the strong ...The book places emphasis on both the mathematical significance and the strong physical background of wave equations. It presents the theory of wave equations in a unique way different from the traditional descriptions provided by previous...more
Among the modern methods used to study prime numbers the sieve has been one of...Among the modern methods used to study prime numbers the sieve has been one of the most efficient. Originally conceived by Linnik in 1941 the large sieve has developed extensively since the 1960s with a recent realization that the underlying...more
This book deals with several aspects of what is now called explicit number the...This book deals with several aspects of what is now called explicit number theory. The central theme is the solution of Diophantine equations i.e. equations or systems of polynomial equations which must be solved in integers rational numbers or more...more