Journal Of The Korean Mathematical Society

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Energy Data Base

Author : Anonim
Publisher : Unknown
Page : 884 pages
File Size : 49,6 Mb
Release : 1984
Category : Cover title
ISBN : UIUC:30112024928316

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Energy Data Base by Anonim Pdf

Topics in Infinitely Divisible Distributions and Lévy Processes, Revised Edition

Author : Alfonso Rocha-Arteaga,Ken-iti Sato
Publisher : Springer Nature
Page : 135 pages
File Size : 45,9 Mb
Release : 2019-11-02
Category : Mathematics
ISBN : 9783030227005

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Topics in Infinitely Divisible Distributions and Lévy Processes, Revised Edition by Alfonso Rocha-Arteaga,Ken-iti Sato Pdf

This book deals with topics in the area of Lévy processes and infinitely divisible distributions such as Ornstein-Uhlenbeck type processes, selfsimilar additive processes and multivariate subordination. These topics are developed around a decreasing chain of classes of distributions Lm, m = 0,1,...,∞, from the class L0 of selfdecomposable distributions to the class L∞ generated by stable distributions through convolution and convergence. The book is divided into five chapters. Chapter 1 studies basic properties of Lm classes needed for the subsequent chapters. Chapter 2 introduces Ornstein-Uhlenbeck type processes generated by a Lévy process through stochastic integrals based on Lévy processes. Necessary and sufficient conditions are given for a generating Lévy process so that the OU type process has a limit distribution of Lm class. Chapter 3 establishes the correspondence between selfsimilar additive processes and selfdecomposable distributions and makes a close inspection of the Lamperti transformation, which transforms selfsimilar additive processes and stationary type OU processes to each other. Chapter 4 studies multivariate subordination of a cone-parameter Lévy process by a cone-valued Lévy process. Finally, Chapter 5 studies strictly stable and Lm properties inherited by the subordinated process in multivariate subordination. In this revised edition, new material is included on advances in these topics. It is rewritten as self-contained as possible. Theorems, lemmas, propositions, examples and remarks were reorganized; some were deleted and others were newly added. The historical notes at the end of each chapter were enlarged. This book is addressed to graduate students and researchers in probability and mathematical statistics who are interested in learning more on Lévy processes and infinitely divisible distributions.

Mathematics Across Cultures

Author : Helaine Selin
Publisher : Springer Science & Business Media
Page : 489 pages
File Size : 49,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789401143011

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Mathematics Across Cultures by Helaine Selin Pdf

Mathematics Across Cultures: A History of Non-Western Mathematics consists of essays dealing with the mathematical knowledge and beliefs of cultures outside the United States and Europe. In addition to articles surveying Islamic, Chinese, Native American, Aboriginal Australian, Inca, Egyptian, and African mathematics, among others, the book includes essays on Rationality, Logic and Mathematics, and the transfer of knowledge from East to West. The essays address the connections between science and culture and relate the mathematical practices to the cultures which produced them. Each essay is well illustrated and contains an extensive bibliography. Because the geographic range is global, the book fills a gap in both the history of science and in cultural studies. It should find a place on the bookshelves of advanced undergraduate students, graduate students, and scholars, as well as in libraries serving those groups.

Introduction to Symplectic Topology

Author : Dusa McDuff,Dietmar Salamon
Publisher : Oxford University Press
Page : 637 pages
File Size : 46,7 Mb
Release : 2017
Category : Mathematics
ISBN : 9780198794899

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Introduction to Symplectic Topology by Dusa McDuff,Dietmar Salamon Pdf

Over the last number of years powerful new methods in analysis and topology have led to the development of the modern global theory of symplectic topology, including several striking and important results. This new third edition of a classic book in the feild includes updates and new material to bring the material right up-to-date.

The Legacy of Kurt Schütte

Author : Reinhard Kahle,Michael Rathjen
Publisher : Springer Nature
Page : 502 pages
File Size : 54,8 Mb
Release : 2020-08-10
Category : Mathematics
ISBN : 9783030494247

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The Legacy of Kurt Schütte by Reinhard Kahle,Michael Rathjen Pdf

This book on proof theory centers around the legacy of Kurt Schütte and its current impact on the subject. Schütte was the last doctoral student of David Hilbert who was the first to see that proofs can be viewed as structured mathematical objects amenable to investigation by mathematical methods (metamathematics). Schütte inaugurated the important paradigm shift from finite proofs to infinite proofs and developed the mathematical tools for their analysis. Infinitary proof theory flourished in his hands in the 1960s, culminating in the famous bound Γ0 for the limit of predicative mathematics (a fame shared with Feferman). Later his interests shifted to developing infinite proof calculi for impredicative theories. Schütte had a keen interest in advancing ordinal analysis to ever stronger theories and was still working on some of the strongest systems in his eighties. The articles in this volume from leading experts close to his research, show the enduring influence of his work in modern proof theory. They range from eye witness accounts of his scientific life to developments at the current research frontier, including papers by Schütte himself that have never been published before.

Advances in Special Functions of Fractional Calculus: Special Functions in Fractional Calculus and Their Applications in Engineering

Author : Praveen Agarwal,Shilpi Jain
Publisher : Bentham Science Publishers
Page : 304 pages
File Size : 44,9 Mb
Release : 2023-04-11
Category : Mathematics
ISBN : 9789815079333

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Advances in Special Functions of Fractional Calculus: Special Functions in Fractional Calculus and Their Applications in Engineering by Praveen Agarwal,Shilpi Jain Pdf

In recent years, special functions have been developed and applied in a variety of fields, such as combinatorics, astronomy, applied mathematics, physics, and engineering due to their remarkable properties. This volume expands our understanding of special functions by highlighting recent trends in numerical analysis. Interesting applications of special functions and partial differential equations are demonstrated by 15 chapters. Many chapters highlight the importance of numerical techniques and the results of complex analysis. Contributions in the book emphasize the mathematical treatment of questions arising in natural sciences and engineering, particularly those that involve novel problems and their solutions. This volume is a timely update for mathematicians and researchers interested in advanced numerical methods and computational techniques used to solve complex problems List of Chapters 1. Modified Adaptive Synchronization and Anti Synchronization method for Fractional order chaotic systems with uncertain parameters 2. Improved generalized differential transform method for a class of linear non homogeneous ordinary fractional differential equation 3. Incomplete K2-Function 4. Some Results On Incomplete Hypergeometric Functions 5. Transcendental Bernstein Series: Interpolation and Approximation 6. Some Sufficient Conditions For Uniform Convexity Of Normalized 1F2 Function 7. From Abel continuity theorem to Paley-Wiener theorem… 8. A New Class of Truncated Exponential-Gould-Hopper basedGenocchi Polynomials 9. Computational preconditioned Gauss-Seidel via half-sweep approximation to Caputo's time fractional differential equations 10. Krasnoselskii-type Theorems for Monotone Operators in Ordered Banach Algebra with Applications in Fractional Differential Equations and Inclusion 11. General fractional order quadratic functional integral equations: Existence, properties of solutions and some of its Applications 12.Nonlinear set-valued delay functional integral equations of Volterra-Stieltjes type: Existence of solutions, continuous dependence and applications 13.Certain Saigo Fractional Derivatives Of Extended Hypergeometric Functions 14. Some Erdelyi-kober Fractional Integrals Of The Extended Hypergeometric Functions 15. On solutions of Kinetic Model by Sumudu transform

Experimentation in Mathematics

Author : Jonathan M. Borwein,David H. Bailey,Roland Girgensohn
Publisher : CRC Press
Page : 372 pages
File Size : 45,5 Mb
Release : 2004-04-12
Category : Mathematics
ISBN : 9781439864197

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Experimentation in Mathematics by Jonathan M. Borwein,David H. Bailey,Roland Girgensohn Pdf

New mathematical insights and rigorous results are often gained through extensive experimentation using numerical examples or graphical images and analyzing them. Today computer experiments are an integral part of doing mathematics. This allows for a more systematic approach to conducting and replicating experiments. The authors address the role of

International Journal of Mathematical Combinatorics, Volume 2, 2019

Author : Linfan Mao
Publisher : Infinite Study
Page : 134 pages
File Size : 41,7 Mb
Release : 2024-06-07
Category : Mathematics
ISBN : 8210379456XXX

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International Journal of Mathematical Combinatorics, Volume 2, 2019 by Linfan Mao Pdf

International J. Mathematical Combinatorics is a fully refereed international journal. Topics in detail to be covered are: Smarandache multi-spaces with applications to other sciences, such as those of algebraic multi-systems, multi-metric spaces; Smarandache geometries; Differential Geometry; Geometry on manifolds; Topological graphs; Algebraic graphs; Random graphs; Combinatorial maps; Graph and map enumeration; Combinatorial designs; Combinatorial enumeration; Low Dimensional Topology; Differential Topology; Topology of Manifolds; Geometrical aspects of Mathematical Physics and Relations with Manifold Topology; Applications of Smarandache multi-spaces to theoretical physics; Applications of Combinatorics to mathematics and theoretical physics; Mathematical theory on gravitational fields; Mathematical theory on parallel universes; Other applications of Smarandache multi-space and combinatorics.

Some Novel Types of Fractal Geometry

Author : Stephen Semmes
Publisher : Oxford University Press
Page : 180 pages
File Size : 48,6 Mb
Release : 2001
Category : Mathematics
ISBN : 0198508069

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Some Novel Types of Fractal Geometry by Stephen Semmes Pdf

This book deals with fractal geometries that have features similar to ones of ordinary Euclidean spaces, while at the same time being quite different from Euclidean spaces.. A basic example of this feature considered is the presence of Sobolev or Poincaré inequalities, concerning the relationship between the average behavior of a function and the average behavior of its small-scale oscillations. Remarkable results in the last few years through Bourdon-Pajot and Laakso have shown that there is much more in the way of geometries like this than have been realized, only examples related to nilpotent Lie groups and Carnot metrics were known previously. On the other had, 'typical' fractals that might be seen in pictures do not have these same kinds of features. This text examines these topics in detail and will interest graduate students as well as researchers in mathematics and various aspects of geometry and analysis.

Asian Research in Mathematics Education

Author : Bill Atweh,Lianghuo Fan,Catherine P. Vistro-Yu
Publisher : Springer Nature
Page : 187 pages
File Size : 52,9 Mb
Release : 2023-05-17
Category : Education
ISBN : 9789819906437

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Asian Research in Mathematics Education by Bill Atweh,Lianghuo Fan,Catherine P. Vistro-Yu Pdf

This book focuses on the development of research in mathematics education cultures and its products from the perspective of local educators. It consists of contributions from Mainland China, Indonesia, Korea, Macao, Singapore, the Philippines, and Turkey. This book examines the development of the culture of research in the respective countries and also reviews the research conducted in the recent past in mathematics education. It takes a critical stance through identifying the various accomplishments, and identifying challenges for the future of research in terms of its diversification and quality. Divided into two sections, the first section considers factors around the development of a research culture in the respective countries by focusing on the means used to develop research expertise and quality. The second section consists of overviews of the area of research and methodologies conducted in mathematics education in the various countries, with the intention of highlighting the research topics conducted as well as discussing omissions of such research.

Neutrosophic Sets and Systems, Book Series, Vol. 31, 2020

Author : Florentin Smarandache,Mohamed Abdel-Basset
Publisher : Infinite Study
Page : 318 pages
File Size : 48,9 Mb
Release : 2024-06-07
Category : Mathematics
ISBN : 8210379456XXX

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Neutrosophic Sets and Systems, Book Series, Vol. 31, 2020 by Florentin Smarandache,Mohamed Abdel-Basset Pdf

“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc.