Generalized functions and actions on them : method. indications and tasks for the theory of generalized functions

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Generalized Functions and Actions on Them: Method. Generalized Function Theory is a unique publication that represents a valuable resource for anyone interested in modern approaches in mathematics and function theory. Authors, Gathered in this group , offer readers a deep immersion into the world of generalized functions, their properties and applications , which makes this book an indispensable aid for both students, For teachers as well, and for researchers, working in the field of mathematical analysis and theoretical physics . Generalized functions, or distributions, are concepts that go beyond the traditional understanding of functions. They allow us to solve problems that cannot be solved with conventional functions, and are widely used in various fields of science, from quantum mechanics to signal theory. In this context, the book offers readers not only theoretical foundations, but also practical tasks that help to consolidate the knowledge gained. Each chapter contains guidelines that make the learning process more structured and understandable. Who can like this book? First of all, it will be of interest to students and graduate students of mathematical and physical faculties, as well as teachers who are looking for quality materials to prepare for classes . In addition, researchers working in related fields, such as engineering or computer science, will find in it useful ideas and methods that can be applied in their projects. The book will also be of interest to those who want to deepen their knowledge in the field of functional analysis and the theory of differential equations. The themes that are raised in the book are diverse and relevant. The authors discuss not only the main properties of generalized functions, but also their application in various mathematical models. The issues of existence and uniqueness of solutions, as well as methods of working with generalized derivatives and integrals. are considered. These topics not only expand the horizons of the reader’s understanding, but also emphasize the importance of generalized functions in modern scientific discourse. The style of the authors is distinguished by clarity and accessibility, which allows even complex concepts to be presented in an understandable form. The book is written taking into account the needs of the reader, and each section logically follows from the previous one, creating a holistic perception of the material. This makes it an ideal tool for self-study, as well as for use in the learning process. If you are looking for literature on functional analysis, distribution theory, or mathematical modeling, then Generalized Functions and Actions on Them will be a real find for you. This publication will not only enrich your knowledge, but also inspire new research and discoveries. Immerse yourself in the world of generalized functions and discover new horizons of mathematics with this fascinating and useful manual
LF/917828811/R
Data sheet
- Name of the Author
- Collective of authors
- Language
- Russian