Corral M , Petrunin A Corral's Vector Calculus 2016 | 2.37 MB
English | 238 Pages

Title: Corral's Vector Calculus
Author: Michael Corral and Anton Petrunin
Year: 2021

R-Calculus, III: Post Three-Valued Logic: 3 (Perspectives in Formal Induction, Revision and Evolution)
English | 2022 | ISBN: 9811942692 | 401 Pages | PDF EPUB (True) | 36 MB
This third volume of the book series shows R-calculus is a Gentzen-typed deduction system which is non-monotonic, and is a concrete belief revision operator which is proved to satisfy the AGM postulates and the DP postulates. In this book, R-calculus is taken as Tableau-based/sequent-based/multisequent-based to preserve the satisfiability of the Theory/sequent/multisequent to revise, or sequent-based, to preserve the satisfiability of the sequent to revise. The R-calculi for Post and three-valued logic is given.

Fabio Silva Botelho, "Functional Analysis, Calculus of Variations and Numerical Methods for Models in Physics and Engineering"
English | ISBN: 0367510030, 0367356740 | 2022 | 588 pages | PDF | 5 MB
The book discusses basic concepts of functional analysis, measure and integration theory, calculus of variations and duality and its applications to variational problems of non-convex nature, such as the Ginzburg-Landau system in superconductivity, shape optimization models, dual variational formulations for micro-magnetism and others. Numerical Methods for such and similar problems, such as models in flight mechanics and the Navier-Stokes system in fluid mechanics have been developed through the generalized method of lines, including their matrix finite dimensional approximations. It concludes with a review of recent research on Riemannian geometry applied to Quantum Mechanics and Relativity.

Russo F Stochastic Calculus via Regularizations 2022 | 7.85 MB
English | 656 Pages

Title: Stochastic Calculus for Finance I: The Binomial Asset Pricing Model (Springer Finance)
Author: Steven Shreve
Year: 2004

Convolutional Calculus by Ivan H. Dimovski
English | PDF | 1990 | 196 Pages | ISBN : 9401067236 | 31.9 MB
The series is divergent; therefore we may be sense'. able to do something with it. Eric T. Bell O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.

von Mises Calculus For Statistical Functionals by Luisa Turrin Fernholz
English | PDF | 1983 | 134 Pages | ISBN : 0387908994 | 5.2 MB
About forty years ago, Richard von Mises proposed a theory for the analysis of the asymptotic behavior of nonlinear statistical functionals based on the differentiability properties of these functionals. His theory was largely neglected until the late 1960's when it experienced a renaissance due to developments in the field of robust statistics. In particular, the "Volterra" derivative used by von Mises evolved into the influence curve, which was used to provide information about the sensi ti vity of an estimator to outliers, as well as the estimator's asymptot ic variance. Moreover, with the "Princeton Robustness Study" (Andrews et al. (1972)), there began a proliferation of new robust statistics, and the formal von Mises calculations provided a convenient heuristic tool for the analysis of the asymptotic distributions of these statistics. In the last few years, these calculations have been put in a more rigorous setting based on the Frechet and Hadamard, or compact, derivatives.

Variational Calculus with Elementary Convexity by John L. Troutman
English | PDF | 1983 | 373 Pages | ISBN : 1468401602 | 25.1 MB
The calculus of variations, whose origins can be traced to the works of Aristotle and Zenodoros, is now Ii vast repository supplying fundamental tools of exploration not only to the mathematician, but-as evidenced by current literature-also to those in most branches of science in which mathematics is applied. (Indeed, the macroscopic statements afforded by variational principles may provide the only valid mathematical formulation of many physical laws. ) As such, it retains the spirit of natural philosophy common to most mathematical investigations prior to this century.

Operational Calculus: A Theory of Hyperfunctions by K. Yosida
English | PDF | 1984 | 182 Pages | ISBN : 0387960473 | 14.7 MB
In the end of the last century, Oliver Heaviside inaugurated an operational calculus in connection with his researches in electromagnetic theory. In his operational calculus, the operator of differentiation was denoted by the symbol "p". The explanation of this operator p as given by him was difficult to understand and to use, and the range of the valid ity of his calculus remains unclear still now, although it was widely noticed that his calculus gives correct results in general. In the 1930s, Gustav Doetsch and many other mathematicians began to strive for the mathematical foundation of Heaviside's operational calculus by virtue of the Laplace transform -pt e f(t)dt.

Calculus: A Historical Approach by William McGowen Priestley
English | PDF | 1979 | 457 Pages | ISBN : 0387903496 | 29.3 MB

Variational Calculus
English | 2022 | ISBN: 3031183061 | 284 Pages | PDF (True) | 4.2 MB
This book provides a comprehensive introduction to the Calculus of Variations and its use in modelling mechanics and physics problems. Presenting a geometric approach to the subject, it progressively guides the reader through this very active branch of mathematics, accompanying key statements with a huge variety of exercises, some of them solved. Stressing the need to overcome limitations of the initial point of view, and emphasising the interconnectivity of various branches of mathematics (algebra, analysis and geometry), the book includes some advanced material to challenge the most motivated students. Systematic, short historical notes provide details on the subject's odyssey, and how new tools have been developed over the last two centuries. This English translation updates a set of notes for a course first given at the École polytechnique in 1987. It will be accessible to graduate students and advanced undergraduates.