Contributions to Analysis

Contributions to Analysis

Author: Lars V. Ahlfors

Publisher: Academic Press

Published: 2014-05-10

Total Pages: 460

ISBN-13: 1483261166

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Contributions to Analysis: A Collection of Papers Dedicated to Lipman Bers is a compendium of papers provided by Bers, friends, students, colleagues, and professors. These papers deal with Teichmuller spaces, Kleinian groups, theta functions, algebraic geometry. Other papers discuss quasiconformal mappings, function theory, differential equations, and differential topology. One paper discusses the results of the rigidity theorem of Mostow and its generalization by Marden in relation to geometric properties of Kleinian groups of the first kind. These results, obtained by planar methods, are presented in terms of the hyperbolic 3-space language, which is a natural pedestal in approaching the action of the Kleinian groups. Another paper reviews Riemann's vanishing theorem which solves the Jacobi inversion problem, by relating the vanishing properties of the theta function (particularly at half periods) to properties of certain linear series on the Riemann surface. One paper examines the problem of obtaining relations among the periods of the differentials of first kind on a compact Riemann surface. An application of a computer program involves supersonic transport. The program is based on the hodograph transformation and a method of complex characteristics to calculate profiles that are shock-less at a specified angle of attack, or at a specified subsonic free-stream Mach number. The collection can prove useful for engineers, statisticians, students, and professors in advance mathematics or courses related to aeronautics.


Contributions to Algebra

Contributions to Algebra

Author: Hyman Bass

Publisher: Academic Press

Published: 2014-05-10

Total Pages: 447

ISBN-13: 1483268063

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Contributions to Algebra: A Collection of Papers Dedicated to Ellis Kolchin provides information pertinent to commutative algebra, linear algebraic group theory, and differential algebra. This book covers a variety of topics, including complex analysis, logic, K-theory, stochastic matrices, and differential geometry. Organized into 29 chapters, this book begins with an overview of the influence that Ellis Kolchin's work on the Galois theory of differential fields has had on the development of differential equations. This text then discusses the background model theoretic work in differential algebra and discusses the notion of model completions. Other chapters consider some properties of differential closures and some immediate consequences and include extensive notes with proofs. This book discusses as well the problems in finite group theory in finding the complex finite projective groups of a given degree. The final chapter deals with the finite forms of quasi-simple algebraic groups. This book is a valuable resource for students.


Contributions

Contributions

Author: Massachusetts Institute of Technology. Dept. of Mathematics

Publisher:

Published: 1920

Total Pages: 502

ISBN-13:

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Contributions in Numerical Mathematics

Contributions in Numerical Mathematics

Author: Ravi P. Agarwal

Publisher: World Scientific

Published: 1993

Total Pages: 494

ISBN-13: 9789810214371

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World Scientific Series in Applicable Analysis (WSSIAA) aims at reporting new developments of a high mathematical standard and of current interest. Each volume in the series shall be devoted to mathematical analysis that has been applied, or potentially applicable to the solutions of scientific, engineering and social problems.This second volume of WSSIAA contains 34 research articles on numerical mathematics by leading mathematicians from all over the world. This volume is dedicated to the memory of Lothar Collatz (1910 - 1990) for his significant contributions to numerical mathematics.Contributors: G Adomian, E L Allgower, C T H Baker, B Beckermann, R W Brankin, C Brezinski, L Brugnano, J C Butcher, M D Buhmann, J R Cash, R Chapko, H-L Chen, Min Chen, I Galligani, T J Garratt, K Georg, I Gladwell, D Greenspan, C W Groetsch, E Hairer, P J van der Houwen, A Iserles, L Jay, K Kaji, A Q M Khaliq, M E Kramer, R Kress, Chun Li, D S Lubinsky, R M M Mattheij, C A Micchelli, J J H Miller, T Mitsui, G Monegato, G Moore, M Mori, M T Nakao, S P N?rsett, T Ojika, T Ooura, S Pr”ssdorf, R Rach, Y Saito, M Sakai, T Sakurai, L F Shampine, B P Sommeijer, A Spence, H J Stetter, R Temam, K L Teo, V Thom‚e, D Trigiante, T Torii, E H Twizell, R A Usmani, D A Voss, J Walker, Song Wang, G A Watson, J Wimp, K H Wong, N-Y Zhang.


Contributions in Mathematics and Engineering

Contributions in Mathematics and Engineering

Author: Panos M. Pardalos

Publisher: Springer

Published: 2016-10-04

Total Pages: 754

ISBN-13: 3319313177

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The contributions in this volume aim to deepen understanding of some of the current research problems and theories in modern topics such as calculus of variations, optimization theory, complex analysis, real analysis, differential equations, and geometry. Applications to these areas of mathematics are presented within the broad spectrum of research in Engineering Science with particular emphasis on equilibrium problems, complexity in numerical optimization, dynamical systems, non-smooth optimization, complex network analysis, statistical models and data mining, and energy systems. Additional emphasis is given to interdisciplinary research, although subjects are treated in a unified and self-contained manner. The presentation of methods, theory and applications makes this tribute an invaluable reference for teachers, researchers, and other professionals interested in pure and applied research, philosophy of mathematics, and mathematics education. Some review papers published in this volume will be particularly useful for a broader audience of readers as well as for graduate students who search for the latest information. ​ Constantin Carathéodory’s wide-ranging influence in the international mathematical community was seen during the first Fields Medals awards at the International Congress of Mathematicians, Oslo, 1936. Two medals were awarded, one to Lars V. Ahlfors and one to Jesse Douglass. It was Carathéodory who presented both their works during the opening of the International Congress. This volume contains significant papers in Science and Engineering dedicated to the memory of Constantin Carathéodory and the spirit of his mathematical influence.


A History in Sum

A History in Sum

Author: Steve Nadis

Publisher: Harvard University Press

Published: 2013-11-01

Total Pages: 272

ISBN-13: 0674727894

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In the twentieth century, American mathematicians began to make critical advances in a field previously dominated by Europeans. Harvard’s mathematics department was at the center of these developments. A History in Sum is an inviting account of the pioneers who trailblazed a distinctly American tradition of mathematics—in algebraic geometry and topology, complex analysis, number theory, and a host of esoteric subdisciplines that have rarely been written about outside of journal articles or advanced textbooks. The heady mathematical concepts that emerged, and the men and women who shaped them, are described here in lively, accessible prose. The story begins in 1825, when a precocious sixteen-year-old freshman, Benjamin Peirce, arrived at the College. He would become the first American to produce original mathematics—an ambition frowned upon in an era when professors largely limited themselves to teaching. Peirce’s successors—William Fogg Osgood and Maxime Bôcher—undertook the task of transforming the math department into a world-class research center, attracting to the faculty such luminaries as George David Birkhoff. Birkhoff produced a dazzling body of work, while training a generation of innovators—students like Marston Morse and Hassler Whitney, who forged novel pathways in topology and other areas. Influential figures from around the world soon flocked to Harvard, some overcoming great challenges to pursue their elected calling. A History in Sum elucidates the contributions of these extraordinary minds and makes clear why the history of the Harvard mathematics department is an essential part of the history of mathematics in America and beyond.


Contributions to Mathematical Psychology, Psychometrics, and Methodology

Contributions to Mathematical Psychology, Psychometrics, and Methodology

Author: Gerhard H. Fischer

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 410

ISBN-13: 1461243084

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Contributions to Mathematical Psychology, Psycho§ metrics and Methodology presents the most esteemed research findings of the 22nd European Mathematical Psychology Group meeting in Vienna, Austria, September 1991. The selection of work appearing in this volume contains not only contributions to mathematical psychology in the narrow sense, but also work in psychometrics and methodology, with the common element of all contributions being their attempt to deal with scientific problems in psychology with rigorous mathematics reasoning. The book contains 28 chapters divided into five parts: Perception, Learning, and Cognition; Choice and Reaction Time; Social Systems; Measurement and Psychometrics; and Methodology. It is of interest to all mathematical psychologists, educational psychologists, and graduate students in these areas.


Contributions to the Theory and Application of Statistics

Contributions to the Theory and Application of Statistics

Author: Alan E. Gelfand

Publisher: Academic Press

Published: 2014-05-10

Total Pages: 573

ISBN-13: 1483261271

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Contributions to the Theory and Application of Statistics: A Volume in Honor of Herbert Solomon is a collection of 20 papers that cover the significant contributions of Herbert Solomon in the field of statistics. This text is organized into four sections encompassing 20 chapters. Each section defines an area in which Herb has made a contribution and the papers are ordered alphabetically. The first section consists of four papers in the area of operations research and applied probability, while the second section gathers six papers looking into problems in distribution theory and geometric probability. The third section contains five applied articles in the areas of law and justice, medicine, and psychology. The fourth section covers five papers that explore several inference issues. This book will be of value to statisticians and advance students.