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Crash Course In Calculus Over Banach Algebra Russian Edition


Crash Course In Calculus Over Banach Algebra Russian Edition
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Crash Course In Calculus Over Banach Algebra Russian Edition


Crash Course In Calculus Over Banach Algebra Russian Edition
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Author : Aleks Kleyn
language : ru
Publisher: Createspace Independent Publishing Platform
Release Date : 2018-02-18

Crash Course In Calculus Over Banach Algebra Russian Edition written by Aleks Kleyn and has been published by Createspace Independent Publishing Platform this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-02-18 with categories.


I considered basic definitions of calculus over Banach D-algebra: derivative of the map, definite and indefinite integral.



Crash Course In Calculus Over Banach Algebra


Crash Course In Calculus Over Banach Algebra
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Author : Aleks Kleyn
language : en
Publisher: Createspace Independent Publishing Platform
Release Date : 2018-02-18

Crash Course In Calculus Over Banach Algebra written by Aleks Kleyn and has been published by Createspace Independent Publishing Platform this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-02-18 with categories.


I considered basic definitions of calculus over Banach D-algebra: derivative of the map, definite and indefinite integral.



Single Variable Calculus Russian Edition


Single Variable Calculus Russian Edition
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Author : Aleks Kleyn
language : ru
Publisher: Createspace Independent Publishing Platform
Release Date : 2017-01-23

Single Variable Calculus Russian Edition written by Aleks Kleyn and has been published by Createspace Independent Publishing Platform this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-01-23 with categories.


In this book I started from the definition of derivative of a map into Banach algebra. I considered properties of derivative and derivatives of higher order. I considered differential forms in Banach Algebra and solving of differential equations. If differential form is integrable, we may consider its definite and indefinite integrals.



Differential Equation Over Banach Algebra Russian Edition


Differential Equation Over Banach Algebra Russian Edition
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Author : Aleks Kleyn
language : en
Publisher: Createspace Independent Publishing Platform
Release Date : 2018-02-07

Differential Equation Over Banach Algebra Russian Edition written by Aleks Kleyn and has been published by Createspace Independent Publishing Platform this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-02-07 with categories.


In the book, I considered differential equations of order 1 over Banach D-algebra: differential equation solved with respect to the derivative; exact differential equation; linear homogeneous equation. In noncommutative Banach algebra, initial value problem for linear homogeneous equation has infinitely many solutions.



Differential Equations On Measures And Functional Spaces


Differential Equations On Measures And Functional Spaces
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Author : Vassili Kolokoltsov
language : en
Publisher: Springer
Release Date : 2019-06-20

Differential Equations On Measures And Functional Spaces written by Vassili Kolokoltsov and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-06-20 with Mathematics categories.


This advanced book focuses on ordinary differential equations (ODEs) in Banach and more general locally convex spaces, most notably the ODEs on measures and various function spaces. It briefly discusses the fundamentals before moving on to the cutting edge research in linear and nonlinear partial and pseudo-differential equations, general kinetic equations and fractional evolutions. The level of generality chosen is suitable for the study of the most important nonlinear equations of mathematical physics, such as Boltzmann, Smoluchovskii, Vlasov, Landau-Fokker-Planck, Cahn-Hilliard, Hamilton-Jacobi-Bellman, nonlinear Schroedinger, McKean-Vlasov diffusions and their nonlocal extensions, mass-action-law kinetics from chemistry. It also covers nonlinear evolutions arising in evolutionary biology and mean-field games, optimization theory, epidemics and system biology, in general models of interacting particles or agents describing splitting and merging, collisions and breakage, mutations and the preferential-attachment growth on networks. The book is intended mainly for upper undergraduate and graduate students, but is also of use to researchers in differential equations and their applications. It particularly highlights the interconnections between various topics revealing where and how a particular result is used in other chapters or may be used in other contexts, and also clarifies the links between the languages of pseudo-differential operators, generalized functions, operator theory, abstract linear spaces, fractional calculus and path integrals.



Mathematical Reviews


Mathematical Reviews
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Author :
language : en
Publisher:
Release Date : 1998

Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematics categories.




Interpolation Theory


Interpolation Theory
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Author : Alessandra Lunardi
language : en
Publisher: Springer
Release Date : 2018-05-05

Interpolation Theory written by Alessandra Lunardi and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-05 with Mathematics categories.


This book is the third edition of the 1999 lecture notes of the courses on interpolation theory that the author delivered at the Scuola Normale in 1998 and 1999. In the mathematical literature there are many good books on the subject, but none of them is very elementary, and in many cases the basic principles are hidden below great generality. In this book the principles of interpolation theory are illustrated aiming at simplification rather than at generality. The abstract theory is reduced as far as possible, and many examples and applications are given, especially to operator theory and to regularity in partial differential equations. Moreover the treatment is self-contained, the only prerequisite being the knowledge of basic functional analysis.



Calculus Made Easy


Calculus Made Easy
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Author : Silvanus P. Thompson
language : en
Publisher: St. Martin's Press
Release Date : 2014-03-18

Calculus Made Easy written by Silvanus P. Thompson and has been published by St. Martin's Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-03-18 with Study Aids categories.


Calculus Made Easy by Silvanus P. Thompson and Martin Gardner has long been the most popular calculus primer. This major revision of the classic math text makes the subject at hand still more comprehensible to readers of all levels. With a new introduction, three new chapters, modernized language and methods throughout, and an appendix of challenging and enjoyable practice problems, Calculus Made Easy has been thoroughly updated for the modern reader.



P Adic Analysis And Mathematical Physics


P Adic Analysis And Mathematical Physics
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Author : Vasili? Sergeevich Vladimirov
language : en
Publisher: World Scientific
Release Date : 1994

P Adic Analysis And Mathematical Physics written by Vasili? Sergeevich Vladimirov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Science categories.


p-adic numbers play a very important role in modern number theory, algebraic geometry and representation theory. Lately p-adic numbers have attracted a great deal of attention in modern theoretical physics as a promising new approach for describing the non-Archimedean geometry of space-time at small distances.This is the first book to deal with applications of p-adic numbers in theoretical and mathematical physics. It gives an elementary and thoroughly written introduction to p-adic numbers and p-adic analysis with great numbers of examples as well as applications of p-adic numbers in classical mechanics, dynamical systems, quantum mechanics, statistical physics, quantum field theory and string theory.



Pseudo Differential Operators


Pseudo Differential Operators
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Author : Hans G. Feichtinger
language : en
Publisher: Springer
Release Date : 2008-08-15

Pseudo Differential Operators written by Hans G. Feichtinger and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-08-15 with Mathematics categories.


Pseudo-differential operators were initiated by Kohn, Nirenberg and Hörmander in the sixties of the last century. Beside applications in the general theory of partial differential equations, they have their roots also in the study of quantization first envisaged by Hermann Weyl thirty years earlier. Thanks to the understanding of the connections of wavelets with other branches of mathematical analysis, quantum physics and engineering, such operators have been used under different names as mathematical models in signal analysis since the last decade of the last century. The volume investigates the mathematics of quantization and signals in the context of pseudo-differential operators, Weyl transforms, Daubechies operators, Wick quantization and time-frequency localization operators. Applications to quantization, signal analysis and the modern theory of PDE are highlighted.