Selected Questions Of Mathematical Physics And Analysis
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Selected Questions of Mathematical Physics and Analysis by I. V. Volovich,I︠U︡riĭ Nikolaevich Drozhzhinov,Alekseĭ Georgievich Sergeev Pdf
This collection, dedicated to the 70th anniversary of the birth of VasiliiSergeevich Vladimirov, consists of original papers on various branches of analysis and mathematical physics. It presents work relating to the following topics:--the theory of generalized functions--complex and $p$-adic analysis--mathematical questions of quantum field theory and statistical mechanics--computational mathematics and differential equations.
Ill-posed Problems of Mathematical Physics and Analysis by Mikhail Mikha_lovich Lavrent_ev,Vladimir Gavrilovich Romanov,Serge_ Petrovich Shishatski_ Pdf
Physical formulations leading to ill-posed problems Basic concepts of the theory of ill-posed problems Analytic continuation Boundary value problems for differential equations Volterra equations Integral geometry Multidimensional inverse problems for linear differential equations
Analysis And Mathematical Physics by Bullett Shaun,Fearn Tom,Smith Frank Pdf
This is a concise reference book on analysis and mathematical physics, leading readers from a foundation to advanced level understanding of the topic. This is the perfect text for graduate or PhD mathematical-science students looking for support in topics such as distributions, Fourier transforms and microlocal analysis, C* Algebras, value distribution of meromorphic functions, noncommutative differential geometry, differential geometry and mathematical physics, mathematical problems of general relativity, and special functions of mathematical physics. Analysis and Mathematical Physics is the sixth volume of the LTCC Advanced Mathematics Series. This series is the first to provide advanced introductions to mathematical science topics to advanced students of mathematics. Editor the three joint heads of the London Taught Course Centre for PhD Students in the Mathematical Sciences (LTCC), each book supports readers in broadening their mathematical knowledge outside of their immediate research disciplines while also covering specialized key areas.
Mikhail M. Lavrent'ev,Sergey I. Kabanikhin,Akbar H. Begmatov,Tukhtamurad D. Dzhuraev,Saburou Saitoh,Masahiro Yamamoto
Author : Mikhail M. Lavrent'ev,Sergey I. Kabanikhin,Akbar H. Begmatov,Tukhtamurad D. Dzhuraev,Saburou Saitoh,Masahiro Yamamoto Publisher : Walter de Gruyter GmbH & Co KG Page : 216 pages File Size : 45,5 Mb Release : 2014-07-24 Category : Mathematics ISBN : 9783110936520
Ill-Posed and Non-Classical Problems of Mathematical Physics and Analysis by Mikhail M. Lavrent'ev,Sergey I. Kabanikhin,Akbar H. Begmatov,Tukhtamurad D. Dzhuraev,Saburou Saitoh,Masahiro Yamamoto Pdf
These proceedings of the international Conference "Ill-Posed and Non-Classical Problems of Mathematical Physics and Analysis", held at the Samarkand State University, Uzbekistan in September 2000 bring together fundamental research articles in the major areas of the numerated fields of analysis and mathematical physics. The book covers the following topics: theory of ill-posed problems inverse problems for differential equations boundary value problems for equations of mixed type integral geometry mathematical modelling and numerical methods in natural sciences
Lectures on the Mathematics of Quantum Mechanics I by Gianfausto Dell'Antonio Pdf
The first volume (General Theory) differs from most textbooks as it emphasizes the mathematical structure and mathematical rigor, while being adapted to the teaching the first semester of an advanced course in Quantum Mechanics (the content of the book are the lectures of courses actually delivered.). It differs also from the very few texts in Quantum Mechanics that give emphasis to the mathematical aspects because this book, being written as Lecture Notes, has the structure of lectures delivered in a course, namely introduction of the problem, outline of the relevant points, mathematical tools needed, theorems, proofs. This makes this book particularly useful for self-study and for instructors in the preparation of a second course in Quantum Mechanics (after a first basic course). With some minor additions it can be used also as a basis of a first course in Quantum Mechanics for students in mathematics curricula. The second part (Selected Topics) are lecture notes of a more advanced course aimed at giving the basic notions necessary to do research in several areas of mathematical physics connected with quantum mechanics, from solid state to singular interactions, many body theory, semi-classical analysis, quantum statistical mechanics. The structure of this book is suitable for a second-semester course, in which the lectures are meant to provide, in addition to theorems and proofs, an overview of a more specific subject and hints to the direction of research. In this respect and for the width of subjects this second volume differs from other monographs on Quantum Mechanics. The second volume can be useful for students who want to have a basic preparation for doing research and for instructors who may want to use it as a basis for the presentation of selected topics.
Methods for Solving Mathematical Physics Problems by Valeriĭ Ivanovich Agoshkov,P. B. Dubovsky,V. P. Shutiayev Pdf
The aim of the book is to present to a wide range of readers (students, postgraduates, scientists, engineers, etc.) basic information on one of the directions of mathematics, methods for solving mathematical physics problems. The authors have tried to select for the book methods that have become classical and generally accepted. However, some of the current versions of these methods may be missing from the book because they require special knowledge. The book is of the handbook-teaching type. On the one hand, the book describes the main definitions, the concepts of the examined methods and approaches used in them, and also the results and claims obtained in every specific case. On the other hand, proofs of the majority of these results are not presented and they are given only in the simplest (methodological) cases. Another special feature of the book is the inclusion of many examples of application of the methods for solving specific mathematical physics problems of applied nature used in various areas of science and social activity, such as power engineering, environmental protection, hydrodynamics, elasticity theory, etc. This should provide additional information on possible applications of these methods. To provide complete information, the book includes a chapter dealing with the main problems of mathematical physics, together with the results obtained in functional analysis and boundary-value theory for equations with partial derivatives.
Lectures on the Mathematics of Quantum Mechanics II: Selected Topics by Gianfausto Dell'Antonio Pdf
The first volume (General Theory) differs from most textbooks as it emphasizes the mathematical structure and mathematical rigor, while being adapted to the teaching the first semester of an advanced course in Quantum Mechanics (the content of the book are the lectures of courses actually delivered.). It differs also from the very few texts in Quantum Mechanics that give emphasis to the mathematical aspects because this book, being written as Lecture Notes, has the structure of lectures delivered in a course, namely introduction of the problem, outline of the relevant points, mathematical tools needed, theorems, proofs. This makes this book particularly useful for self-study and for instructors in the preparation of a second course in Quantum Mechanics (after a first basic course). With some minor additions it can be used also as a basis of a first course in Quantum Mechanics for students in mathematics curricula. The second part (Selected Topics) are lecture notes of a more advanced course aimed at giving the basic notions necessary to do research in several areas of mathematical physics connected with quantum mechanics, from solid state to singular interactions, many body theory, semi-classical analysis, quantum statistical mechanics. The structure of this book is suitable for a second-semester course, in which the lectures are meant to provide, in addition to theorems and proofs, an overview of a more specific subject and hints to the direction of research. In this respect and for the width of subjects this second volume differs from other monographs on Quantum Mechanics. The second volume can be useful for students who want to have a basic preparation for doing research and for instructors who may want to use it as a basis for the presentation of selected topics.
Guide To Mathematical Methods For Physicists, A: With Problems And Solutions by Michela Petrini,Gianfranco Pradisi,Alberto Zaffaroni Pdf
Mathematics plays a fundamental role in the formulation of physical theories. This textbook provides a self-contained and rigorous presentation of the main mathematical tools needed in many fields of Physics, both classical and quantum. It covers topics treated in mathematics courses for final-year undergraduate and graduate physics programmes, including complex function: distributions, Fourier analysis, linear operators, Hilbert spaces and eigenvalue problems. The different topics are organised into two main parts — complex analysis and vector spaces — in order to stress how seemingly different mathematical tools, for instance the Fourier transform, eigenvalue problems or special functions, are all deeply interconnected. Also contained within each chapter are fully worked examples, problems and detailed solutions. A companion volume covering more advanced topics that enlarge and deepen those treated here is also available.
Mathematics for Physicists by Philippe Dennery,André Krzywicki Pdf
Superb text provides math needed to understand today's more advanced topics in physics and engineering. Theory of functions of a complex variable, linear vector spaces, much more. Problems. 1967 edition.
Selected Mathematical Methods in Theoretical Physics by Vladmir P. Krainov Pdf
Selected Mathematical Methods in Theoretical Physics shows how a scientist, knowing the answer to a problem intuitively or through experiment, can develop a mathematical method to prove that answer. The approach adopted by the author first involves the formulation of differential or integral equations for describing the physical procession, the basis of more general physical laws. Then the approximate solution of these equations is worked out, using small dimensionless physical parameters, or using numerical parameters for the objects under consideration. The eleven chapters of the book, which can be read in sequence or studied independently of each other, contain many examples of simple physical models, as well as problems for students to solve. This is a supplementary textbook for advanced university students in theoretical physics. It will enrich the knowledge of students who already have a solid grounding in mathematical analysis.
Selected Problems in Theoretical Physics by A Di Giacomo,G Paffuti,P Rossi Pdf
This book is a collection of more than 100 problems selected from the examination questions for a graduate course in theoretical physics. Every problem is discussed and solved in detail. A wide range of subjects is covered, from potential scattering to atomic, nuclear and high energy physics. Special emphasis is devoted to relativistic quantum mechanics and its application to elementary processes: S-matrix theory, the role of discrete symmetries, the use of Feynman diagrams and elementary perturbative quantum field theory. The course attaches great importance to recitation sessions, where thorough problem solving becomes a true test of mastery of theoretical background. The authors are experts in their fields. A Di Giacomo taught “theoretical physics” for about 20 years. G Paffuti and P Rossi held recitations for several years. More recently, Haris Panagopoulos followed suit. He assisted the authors in preparing this English version translated from the Italian. For physicists and especially for graduate and advanced undergraduate students in theoretical physics, this book is a positive guide in the intricacies of problem-solving. A further feature that adds practical value to this book is that most problems correspond to realistic physical processes and their numerical results are compared to experimental values whenever possible. Request Inspection Copy
