Multidimensional Mod Planes Series On Mod Mathematics
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Multidimensional Mod Planes Series On Mod Mathematics
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Author : W. B. Vasantha Kandasamy
language : en
Publisher: Infinite Study
Release Date : 2015
Multidimensional Mod Planes Series On Mod Mathematics written by W. B. Vasantha Kandasamy and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with Neutrosophic logic categories.
The main purpose of this book is to define and develop the notion of multi-dimensional MOD planes. Here, several interesting features enjoyed by these multi-dimensional MOD planes are studied and analyzed. Interesting problems are proposed to the reader.
Multidimensional Residue Theory And Applications
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Author : Alekos Vidras
language : en
Publisher: American Mathematical Society
Release Date : 2023-10-18
Multidimensional Residue Theory And Applications written by Alekos Vidras and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-10-18 with Mathematics categories.
Residue theory is an active area of complex analysis with connections and applications to fields as diverse as partial differential and integral equations, computer algebra, arithmetic or diophantine geometry, and mathematical physics. Multidimensional Residue Theory and Applications defines and studies multidimensional residues via analytic continuation for holomorphic bundle-valued current maps. This point of view offers versatility and flexibility to the tools and constructions proposed, allowing these residues to be defined and studied outside the classical case of complete intersection. The book goes on to show how these residues are algebraic in nature, and how they relate and apply to a wide range of situations, most notably to membership problems, such as the Briançon–Skoda theorem and Hilbert's Nullstellensatz, to arithmetic intersection theory and to tropical geometry. This book will supersede the existing literature in this area, which dates back more than three decades. It will be appreciated by mathematicians and graduate students in multivariate complex analysis. But thanks to the gentle treatment of the one-dimensional case in Chapter 1 and the rich background material in the appendices, it may also be read by specialists in arithmetic, diophantine, or tropical geometry, as well as in mathematical physics or computer algebra.
Mathematical Modeling Of Circulation In Two Dimensional Plane Flow
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Author : V. M. Ponce
language : en
Publisher:
Release Date : 1980
Mathematical Modeling Of Circulation In Two Dimensional Plane Flow written by V. M. Ponce and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Channels (Hydraulic engineering). categories.
Neutrosophic Triplet Groups And Their Applications To Mathematical Modelling
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Author : W. B. Vasantha Kandasamy
language : en
Publisher: Infinite Study
Release Date : 2017
Neutrosophic Triplet Groups And Their Applications To Mathematical Modelling written by W. B. Vasantha Kandasamy and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with Arithmetic groups categories.
In this book we define new operations mainly to construct mathematical models akin to Fuzzy Cognitive Maps (FCMs) model, Neutrosophic Cognitive Maps (NCMs) model and Fuzzy Relational Maps (FRMs) model. These new models are defined in chapter four of this book. These new models can find applications in discrete Artificial Neural Networks, soft computing, and social network analysis whenever the concept of indeterminate is involved.
Nonlinear Dispersive Equations
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Author : Christian Klein
language : en
Publisher: Springer Nature
Release Date : 2022-02-23
Nonlinear Dispersive Equations written by Christian Klein and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-02-23 with Mathematics categories.
Nonlinear Dispersive Equations are partial differential equations that naturally arise in physical settings where dispersion dominates dissipation, notably hydrodynamics, nonlinear optics, plasma physics and Bose–Einstein condensates. The topic has traditionally been approached in different ways, from the perspective of modeling of physical phenomena, to that of the theory of partial differential equations, or as part of the theory of integrable systems. This monograph offers a thorough introduction to the topic, uniting the modeling, PDE and integrable systems approaches for the first time in book form. The presentation focuses on three "universal" families of physically relevant equations endowed with a completely integrable member: the Benjamin–Ono, Davey–Stewartson, and Kadomtsev–Petviashvili equations. These asymptotic models are rigorously derived and qualitative properties such as soliton resolution are studied in detail in both integrable and non-integrable models. Numerical simulations are presented throughout to illustrate interesting phenomena. By presenting and comparing results from different fields, the book aims to stimulate scientific interactions and attract new students and researchers to the topic. To facilitate this, the chapters can be read largely independently of each other and the prerequisites have been limited to introductory courses in PDE theory.
Spectral Approach To Transport Problems In Two Dimensional Disordered Lattices
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Author : Evdokiya Georgieva Kostadinova
language : en
Publisher: Springer
Release Date : 2018-12-11
Spectral Approach To Transport Problems In Two Dimensional Disordered Lattices written by Evdokiya Georgieva Kostadinova and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-12-11 with Science categories.
This book introduces the spectral approach to transport problems in infinite disordered systems characterized by Anderson-type Hamiltonians. The spectral approach determines (with probability one) the existence of extended states for nonzero disorder in infinite lattices of any dimension and geometry. Here, the author focuses on the critical 2D case, where previous numerical and experimental results have shown disagreement with theory. Not being based on scaling theory, the proposed method avoids issues related to boundary conditions and provides an alternative approach to transport problems where interaction with various types of disorder is considered. Beginning with a general overview of Anderson-type transport problems and their relevance to physical systems, it goes on to discuss in more detail the most relevant theoretical, numerical, and experimental developments in this field of research. The mathematical formulation of the innovative spectral approach is introduced together with a physical interpretation and discussion of its applicability to physical systems, followed by a numerical study of delocalization in the 2D disordered honeycomb, triangular, and square lattices. Transport in the 2D honeycomb lattice with substitutional disorder is investigated employing a spectral analysis of the quantum percolation problem. Next, the applicability of the method is extended to the classical regime, with an examination of diffusion of lattice waves in 2D disordered complex plasma crystals, along with discussion of proposed future developments in the study of complex transport problems using spectral theory.
Multidimensional Systems Theory And Applications
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Author : N.K. Bose
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-11-30
Multidimensional Systems Theory And Applications written by N.K. Bose and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-11-30 with Technology & Engineering categories.
The Second Edition of this book includes an abundance of examples to illustrate advanced concepts and brings out in a text book setting the algorithms for bivariate polynomial matrix factorization results that form the basis of two-dimensional systems theory. Algorithms and their implementation using symbolic algebra are emphasized.
Mathematics For Physicists
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Author : Alexander Altland
language : en
Publisher: Cambridge University Press
Release Date : 2019-02-14
Mathematics For Physicists written by Alexander Altland and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-02-14 with Mathematics categories.
Introduces fundamental concepts and computational methods of mathematics from the perspective of physicists.
Russian Mathematicians In The 20th Century
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Author : Yakov Sinai
language : en
Publisher: World Scientific
Release Date : 2003-10-08
Russian Mathematicians In The 20th Century written by Yakov Sinai and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-10-08 with Mathematics categories.
In the 20th century, many mathematicians in Russia made great contributions to the field of mathematics. This invaluable book, which presents the main achievements of Russian mathematicians in that century, is the first most comprehensive book on Russian mathematicians. It has been produced as a gesture of respect and appreciation for those mathematicians and it will serve as a good reference and an inspiration for future mathematicians. It presents differences in mathematical styles and focuses on Soviet mathematicians who often discussed “what to do” rather than “how to do it”. Thus, the book will be valued beyond historical documentation.The editor, Professor Yakov Sinai, a distinguished Russian mathematician, has taken pains to select leading Russian mathematicians — such as Lyapunov, Luzin, Egorov, Kolmogorov, Pontryagin, Vinogradov, Sobolev, Petrovski and Krein — and their most important works. One can, for example, find works of Lyapunov, which parallel those of Poincaré; and works of Luzin, whose analysis plays a very important role in the history of Russian mathematics; Kolmogorov has established the foundations of probability based on analysis. The editor has tried to provide some parity and, at the same time, included papers that are of interest even today.The original works of the great mathematicians will prove to be enjoyable to readers and useful to the many researchers who are preserving the interest in how mathematics was done in the former Soviet Union.
Mathematical Techniques In Crystallography And Materials Science
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Author : Edward Prince
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Mathematical Techniques In Crystallography And Materials Science written by Edward Prince and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
Crystallographers have to apply many mathematical methods in their daily work. If ever they have a problem, this book will help to solve it. The newcomer starting work will learn how to apply these tools, the practicing crystallographer will find all the data and background material he wants to look up. In the decade since the first edition was published, new things have happened that required revision beyond correction of errors. Two chapters have been added: a section on the projection matrix and another on fast Fourier Transform. The author collected the information during his professional career. The success of the first edition indicates that many other practicing crystallographers just need exactly that information.