Crash Course In Calculus Over Banach Algebra Russian Edition PDF Download
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Author | : Aleks Kleyn |
Publisher | : Createspace Independent Publishing Platform |
Total Pages | : 46 |
Release | : 2018-02-18 |
Genre | : |
ISBN | : 9781985668089 |
Download Crash Course in Calculus Over Banach Algebra (Russian Edition) Book in PDF, ePub and Kindle
I considered basic definitions of calculus over Banach D-algebra: derivative of the map, definite and indefinite integral.
Author | : Aleks Kleyn |
Publisher | : Createspace Independent Publishing Platform |
Total Pages | : 44 |
Release | : 2018-02-18 |
Genre | : |
ISBN | : 9781985666931 |
Download Crash Course in Calculus Over Banach Algebra Book in PDF, ePub and Kindle
I considered basic definitions of calculus over Banach D-algebra: derivative of the map, definite and indefinite integral.
Author | : Aleks Kleyn |
Publisher | : Createspace Independent Publishing Platform |
Total Pages | : 156 |
Release | : 2017-01-23 |
Genre | : |
ISBN | : 9781497563681 |
Download Single Variable Calculus (Russian Edition) Book in PDF, ePub and Kindle
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.
Author | : Vassili Kolokoltsov |
Publisher | : Springer |
Total Pages | : 525 |
Release | : 2019-06-20 |
Genre | : Mathematics |
ISBN | : 3030033775 |
Download Differential Equations on Measures and Functional Spaces Book in PDF, ePub and Kindle
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.
Author | : Alessandra Lunardi |
Publisher | : Springer |
Total Pages | : 208 |
Release | : 2018-05-05 |
Genre | : Mathematics |
ISBN | : 8876426388 |
Download Interpolation Theory Book in PDF, ePub and Kindle
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.
Author | : Robert C. Dalang |
Publisher | : Springer Science & Business Media |
Total Pages | : 230 |
Release | : 2009 |
Genre | : Mathematics |
ISBN | : 3540859934 |
Download A Minicourse on Stochastic Partial Differential Equations Book in PDF, ePub and Kindle
This title contains lectures that offer an introduction to modern topics in stochastic partial differential equations and bring together experts whose research is centered on the interface between Gaussian analysis, stochastic analysis, and stochastic PDEs.
Author | : Cédric Villani |
Publisher | : Springer Science & Business Media |
Total Pages | : 970 |
Release | : 2008-10-26 |
Genre | : Mathematics |
ISBN | : 3540710507 |
Download Optimal Transport Book in PDF, ePub and Kindle
At the close of the 1980s, the independent contributions of Yann Brenier, Mike Cullen and John Mather launched a revolution in the venerable field of optimal transport founded by G. Monge in the 18th century, which has made breathtaking forays into various other domains of mathematics ever since. The author presents a broad overview of this area, supplying complete and self-contained proofs of all the fundamental results of the theory of optimal transport at the appropriate level of generality. Thus, the book encompasses the broad spectrum ranging from basic theory to the most recent research results. PhD students or researchers can read the entire book without any prior knowledge of the field. A comprehensive bibliography with notes that extensively discuss the existing literature underlines the book’s value as a most welcome reference text on this subject.
Author | : |
Publisher | : |
Total Pages | : 1116 |
Release | : 1998 |
Genre | : Mathematics |
ISBN | : |
Download Mathematical Reviews Book in PDF, ePub and Kindle
Author | : Reinhold Meise |
Publisher | : Clarendon Press |
Total Pages | : 449 |
Release | : 1997-07-31 |
Genre | : |
ISBN | : 0191590924 |
Download Introduction to Functional Analysis Book in PDF, ePub and Kindle
The book is written for students of mathematics and physics who have a basic knowledge of analysis and linear algebra. It can be used as a textbook for courses and/or seminars in functional analysis. Starting from metric spaces it proceeds quickly to the central results of the field, including the theorem of HahnBanach. The spaces (p Lp (X,(), C(X)' and Sobolov spaces are introduced. A chapter on spectral theory contains the Riesz theory of compact operators, basic facts on Banach and C*-algebras and the spectral representation for bounded normal and unbounded self-adjoint operators in Hilbert spaces. An introduction to locally convex spaces and their duality theory provides the basis for a comprehensive treatment of Fr--eacute--;chet spaces and their duals. In particular recent results on sequences spaces, linear topological invariants and short exact sequences of Fr--eacute--;chet spaces and the splitting of such sequences are presented. These results are not contained in any other book in this field.
Author | : David M. Burton |
Publisher | : WCB/McGraw-Hill |
Total Pages | : 544 |
Release | : 1985 |
Genre | : Mathematics |
ISBN | : 9780697068552 |
Download The History of Mathematics Book in PDF, ePub and Kindle
"The History of Mathematics: An Introduction," Sixth Edition, is written for the one- or two-semester math history course taken by juniors or seniors, and covers the history behind the topics typically covered in an undergraduate math curriculum or in elementary schools or high schools. Elegantly written in David Burton's imitable prose, this classic text provides rich historical context to the mathematics that undergrad math and math education majors encounter every day. Burton illuminates the people, stories, and social context behind mathematics'greatest historical advances while maintaining appropriate focus on the mathematical concepts themselves. Its wealth of information, mathematical and historical accuracy, and renowned presentation make The History of Mathematics: An Introduction, Sixth Edition a valuable resource that teachers and students will want as part of a permanent library.