Mathematics Frontiers
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Mathematics Frontiers And Perspectives
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Author : Vladimir Igorevich Arnolʹd
language : en
Publisher: American Mathematical Soc.
Release Date : 2000
Mathematics Frontiers And Perspectives written by Vladimir Igorevich Arnolʹd and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.
A celebration of the state of mathematics at the end of the millennium. Produced under the auspices of the International Mathematical Union (IMU), the book was born as part of the activities of World Mathematical Year 2000. It consists of 28 articles written by influential mathematicians.
Mathematics Frontiers
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Author : Facts On File, Incorporated
language : en
Publisher: Infobase Publishing
Release Date : 2006
Mathematics Frontiers written by Facts On File, Incorporated and has been published by Infobase Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with categories.
Tracing the development of mathematics from a biographical standpoint, Mathematics Frontiers: 1950 to the Present profiles innovators from the second half of the 20th century who made significant discoveries in both pure and applied mathematics. From John H. Conway, who helped complete the classification of all finite groups (and invented The Game of Life board game), to Stephen Hawking, who established the mathematical basis for black holes, to Fan Chung, who developed an encoding and decoding algorithm for cell phone calls, this lively survey of contemporary minds behind the math is ideal for middle and high school students seeking resources for research or general interest.
Mathematics Frontiers Updated Edition
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Author : Michael Bradley
language : en
Publisher: Infobase Holdings, Inc
Release Date : 2019-11-01
Mathematics Frontiers Updated Edition written by Michael Bradley and has been published by Infobase Holdings, Inc this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-01 with Mathematics categories.
Tracing the development of mathematics from a biographical standpoint, Mathematics Frontiers, Updated Edition profiles innovators from the second half of the 20th century who made significant discoveries in both pure and applied mathematics. The 10 mathematicians in this updated edition exemplify a growing diversity within the mathematical community, drawing from the talents of individuals across all nationalities, races, and genders. From John H. Conway, who helped complete the classification of all finite groups (and invented "The Game of Life" board game), to Stephen Hawking, who established the mathematical basis for black holes, to Fan Chung, who developed an encoding and decoding algorithm for phone calls, this lively survey of contemporary minds behind the math is ideal for middle and high school students seeking resources for research or general interest.
Mathematics Frontiers
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Author : Michael J. Bradley
language : en
Publisher: Infobase Publishing
Release Date : 2006-01-01
Mathematics Frontiers written by Michael J. Bradley and has been published by Infobase Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-01-01 with Mathematics categories.
Frontiers In Mathematical Analysis And Numerical Methods
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Author : Li Tatsien
language : en
Publisher: World Scientific
Release Date : 2004-07-26
Frontiers In Mathematical Analysis And Numerical Methods written by Li Tatsien and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-07-26 with Mathematics categories.
This invaluable volume is a collection of articles in memory of Jacques-Louis Lions, a leading mathematician and the founder of the Contemporary French Applied Mathematics School. The contributions have been written by his friends, colleagues and students, including C Bardos, A Bensoussan, S S Chern, P G Ciarlet, R Glowinski, Gu Chaohao, B Malgrange, G Marchuk, O Pironneau, W Strauss, R Temam, etc. The book concerns many important results in analysis, geometry, numerical methods, fluid mechanics, control theory, etc. Contents:Stable and Unstable Ideal Plane Flows (C Bardos et al.)Sensitivity of Darcy's Law to Discontinuities (C Bernardi & O Pironneau)Reiterated Homogenization of Degenerate Nonlinear Elliptic Equations (J Byström et al.)On the Connection in Finsler Space (S S Chern)On the Classification of Initial Data for Nonlinear Wave Equations (C Gu)Local Exact Boundary Controllability for a Class of Quasilinear Hyperbolic Systems (T Li & B Rao)On Nonlinear Differential Galois Theory (B Malgrange)Quadrilateral Mesh (P Ming & Z Shi)On the Hyperbolic Obstacle Problem of First Order (J F Rodrigues)and other articles Readership: Graduate students and researchers in applied mathematics, numerical analysis and applied science. Keywords:Partial Differential Equation;Differential Geometry;Numerical Method;Control Theory;Fluid Dynamics;Jacques-Louis LionsKey Features:Most of the articles are by well-known mathematiciansResults presented are important to analysis and numerical methodsContains an introduction to Jacques-Louis Lions
Frontiers In Interpolation And Approximation
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Author : N. K. Govil
language : en
Publisher: CRC Press
Release Date : 2006-07-20
Frontiers In Interpolation And Approximation written by N. K. Govil and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-07-20 with Mathematics categories.
Dedicated to the well-respected research mathematician Ambikeshwar Sharma, Frontiers in Interpolation and Approximation explores approximation theory, interpolation theory, and classical analysis. Written by authoritative international mathematicians, this book presents many important results in classical analysis, wavelets, and interpolation theory. Some topics covered are Markov inequalities for multivariate polynomials, analogues of Chebyshev and Bernstein inequalities for multivariate polynomials, various measures of the smoothness of functions, and the equivalence of Hausdorff continuity and pointwise Hausdorff-Lipschitz continuity of a restricted center multifunction. The book also provides basic facts about interpolation, discussing classes of entire functions such as algebraic polynomials, trigonometric polynomials, and nonperiodic transcendental entire functions. Containing both original research and comprehensive surveys, this book provides researchers and graduate students with important results of interpolation and approximation.
Frontiers Of Applied And Computational Mathematics
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Author : Denis L. Blackmore
language : en
Publisher: World Scientific
Release Date : 2008
Frontiers Of Applied And Computational Mathematics written by Denis L. Blackmore and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.
This volume contains a selection of papers presented at the 2008 Conference on Frontiers of Applied and Computational Mathematics (FACM'08), held at the New Jersey Institute of Technology (NJIT), May 19?21, 2008. The papers reflect the conference themes of mathematical biology, mathematical fluid dynamics, applied statistics and biostatistics, and waves and electromagnetics. Some of the world's most distinguished experts in the conference focus areas provide a unique and timely perspective on leading-edge research, research trends, and important open problems in several fields, making it a ?must read? for active mathematical scientists. Included are major new contributions by a distinguished trio of plenary speakers: Frank Hoppensteadt contributes a thought-provoking paper on the evolving relationship between applied mathematics and the computer; Pranab Sen explores exciting new trends in computational biology and informatics; and Jean-Marc Vanden-Broeck describes his recent research on 3D free surface flows. There are also many innovative contributions by a prestigious group of invited mini-symposium speakers, making this an indispensable collection for professionals and graduate students in the mathematical sciences and related fields.Finally, the 75th birthday dedication to Daljit S Ahluwalia ? for his many contributions to building a world-class mathematical sciences department at NJIT ? adds to making this a one-of-a-kind volume.
Frontiers In Mathematical Biology
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Author : Simon A. Levin
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-13
Frontiers In Mathematical Biology written by Simon A. Levin 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 2013-03-13 with Mathematics categories.
From a mathematical point of view, physiologically structured population models are an underdeveloped branch of the theory of infinite dimensional dynamical systems. We have called attention to four aspects: (i) A choice has to be made about the kind of equations one extracts from the predominantly verbal arguments about the basic assumptions, and subsequently uses as a starting point for a rigorous mathematical analysis. Though differential equations are easy to formulate (different mechanisms don't interact in infinites imal time intervals and so end up as separate terms in the equations) they may be hard to interpret rigorously as infinitesimal generators. Integral equations constitute an attractive alternative. (ii) The ability of physiologically structured population models to increase our un derstanding of the relation between mechanisms at the i-level and phenomena at the p-level will depend strongly on the development of dynamical systems lab facilities which are applicable to this class of models. (iii) Physiologically structured population models are ideally suited for the for mulation of evolutionary questions. Apart from the special case of age (see Charlesworth 1980, Yodzis 1989, Caswell 1989, and the references given there) hardly any theory exists at the moment. This will, hopefully, change rapidly in the coming years. Again the development of appropriate software may turn out to be crucial.
Frontiers In Approximation Theory
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Author : George A Anastassiou
language : en
Publisher: World Scientific
Release Date : 2015-06-23
Frontiers In Approximation Theory written by George A Anastassiou and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-06-23 with Mathematics categories.
This monograph presents the author's work of the last five years in approximation theory. The chapters are self-contained and can be read independently. Readers will find the topics covered are diverse and advanced courses can be taught out of this book. The first part of the book is dedicated to fractional monotone approximation theory introduced for the first time by the author, taking the related ordinary theory of usual differentiation at the fractional differentiation level with polynomials and splines as approximators. The second part deals with the approximation by discrete singular operators of the Favard style, for example, of the Picard and Gauss–Weierstrass types. Then, it continues in a very detailed and extensive chapter on approximation by interpolating operators induced by neural networks, a connection to computer science. This book ends with the approximation theory and functional analysis on time scales, a very modern topic, detailing all the pros and cons of this method. The results in this book are expected to find applications in many areas of pure and applied mathematics. So far, very little is written about fractional approximation theory which is at its infancy. As such, it is suitable for researchers, graduate students, and performing seminars as well as an invaluable resource for all science libraries. Contents:Fractional Monotone ApproximationRight Fractional Monotone Approximation Theory Univariate Left Fractional Polynomial High Order Monotone Approximation Theory Univariate Right Fractional Polynomial High Order Monotone Approximation TheorySpline Left Fractional Monotone Approximation Theory Using Left Fractional Differential OperatorsSpline Right Fractional Monotone Approximation Theory Using Right Fractional Differential OperatorsComplete Fractional Monotone Approximation TheoryLower Order Fractional Monotone Approximation TheoryApproximation Theory by Discrete Singular OperatorsOn Discrete Approximation by Gauss–Weierstrass and Picard Type Operators Approximation Theory by Interpolating Neural NetworksApproximation and Functional Analysis Over Time Scales Readership: Graduate students and researchers in approximation theory. Key Features:Presents new research in approximation theoryAn extensive list of references is given in every chapterIt is about fractional approximation, neural networks and singular integrals approximationsImportant to applications in applied mathematicsKeywords:Fractional Approximation;Neural Networks;Singular Integrals
Extending The Frontiers Of Mathematics
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Author : Edward B. Burger
language : en
Publisher:
Release Date : 2014-12-24
Extending The Frontiers Of Mathematics written by Edward B. Burger and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-12-24 with categories.