Kodai Mathematical Journal
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Functional Calculus
Author | : Kamal Shah |
Publisher | : BoD – Books on Demand |
Total Pages | : 204 |
Release | : 2020-06-17 |
Genre | : Mathematics |
ISBN | : 1838800077 |
The aim of this book is to present a broad overview of the theory and applications related to functional calculus. The book is based on two main subject areas: matrix calculus and applications of Hilbert spaces. Determinantal representations of the core inverse and its generalizations, new series formulas for matrix exponential series, results on fixed point theory, and chaotic graph operations and their fundamental group are contained under the umbrella of matrix calculus. In addition, numerical analysis of boundary value problems of fractional differential equations are also considered here. In addition, reproducing kernel Hilbert spaces, spectral theory as an application of Hilbert spaces, and an analysis of PM10 fluctuations and optimal control are all contained in the applications of Hilbert spaces. The concept of this book covers topics that will be of interest not only for students but also for researchers and professors in this field of mathematics. The authors of each chapter convey a strong emphasis on theoretical foundations in this book.
International Journal of Mathematical Combinatorics, Volume 1, 2015
Author | : Linfan Mao |
Publisher | : Infinite Study |
Total Pages | : 144 |
Release | : |
Genre | : Mathematics |
ISBN | : |
The International J. Mathematical Combinatorics is a fully refereed international journal, sponsored by the MADIS of Chinese Academy of Sciences and published in USA quarterly, which publishes original research papers and survey articles in all aspects of mathematical combinatorics, Smarandache multi-spaces, Smarandache geometries, non-Euclidean geometry, topology and their applications to other sciences.
Selected Papers Of M Ohya
Author | : Noboru Watanabe |
Publisher | : World Scientific |
Total Pages | : 489 |
Release | : 2008-02-19 |
Genre | : Science |
ISBN | : 9814471550 |
This volume is a collection of articles written by Professor M Ohya over the past three decades in the areas of quantum teleportation, quantum information theory, quantum computer, etc. By compiling Ohya's important works in these areas, the book serves as a useful reference for researchers who are working in these fields.
Field Arithmetic
Author | : Michael D. Fried |
Publisher | : Springer Science & Business Media |
Total Pages | : 812 |
Release | : 2005 |
Genre | : Algebraic fields |
ISBN | : 9783540228110 |
Field Arithmetic explores Diophantine fields through their absolute Galois groups. This largely self-contained treatment starts with techniques from algebraic geometry, number theory, and profinite groups. Graduate students can effectively learn generalizations of finite field ideas. We use Haar measure on the absolute Galois group to replace counting arguments. New Chebotarev density variants interpret diophantine properties. Here we have the only complete treatment of Galois stratifications, used by Denef and Loeser, et al, to study Chow motives of Diophantine statements. Progress from the first edition starts by characterizing the finite-field like P(seudo)A(lgebraically)C(losed) fields. We once believed PAC fields were rare. Now we know they include valuable Galois extensions of the rationals that present its absolute Galois group through known groups. PAC fields have projective absolute Galois group. Those that are Hilbertian are characterized by this group being pro-free. These last decade results are tools for studying fields by their relation to those with projective absolute group. There are still mysterious problems to guide a new generation: Is the solvable closure of the rationals PAC; and do projective Hilbertian fields have pro-free absolute Galois group (includes Shafarevich's conjecture)?
Geometry of Riemann Surfaces
Author | : William J. Harvey |
Publisher | : Cambridge University Press |
Total Pages | : 416 |
Release | : 2010-02-11 |
Genre | : Mathematics |
ISBN | : 0521733073 |
Original research and expert surveys on Riemann surfaces.