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Advances in Mathematics and Applications

Advances in Mathematics and Applications
Author: Carlile Lavor
Publisher: Springer
Total Pages: 408
Release: 2018-09-07
Genre: Mathematics
ISBN: 3319940155

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This book celebrates the 50th anniversary of the Institute of Mathematics, Statistics and Scientific Computing (IMECC) of the University of Campinas, Brazil, by offering reviews of selected research developed at one of the most prestigious mathematics institutes in Latin America. Written by senior professors at the IMECC, it covers topics in pure and applied mathematics and statistics ranging from differential geometry, dynamical systems, Lie groups, and partial differential equations to computational optimization, mathematical physics, stochastic process, time series, and more. A report on the challenges and opportunities of research in applied mathematics - a highly active field of research in the country - and highlights of the Institute since its foundation in 1968 completes this historical volume, which is unveiled in the same year that the International Mathematical Union (IMU) names Brazil as a member of the Group V of countries with the most relevant contributions in mathematics.


What's Happening in the Mathematical Sciences

What's Happening in the Mathematical Sciences
Author: Barry Cipra
Publisher: American Mathematical Soc.
Total Pages: 108
Release:
Genre: Science
ISBN: 9780821890431

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Mathematicians like to point out that mathematics is universal. In spite of this, most people continue to view it as either mundane (balancing a checkbook) or mysterious (cryptography). This fifth volume of the What's Happening series contradicts that view by showing that mathematics is indeed found everywhere-in science, art, history, and our everyday lives. Here is some of what you'll find in this volume: Mathematics and Science Mathematical biology: Mathematics was key tocracking the genetic code. Now, new mathematics is needed to understand the three-dimensional structure of the proteins produced from that code. Celestial mechanics and cosmology: New methods have revealed a multitude of solutions to the three-body problem. And other new work may answer one of cosmology'smost fundamental questions: What is the size and shape of the universe? Mathematics and Everyday Life Traffic jams: New models are helping researchers understand where traffic jams come from-and maybe what to do about them! Small worlds: Researchers have found a short distance from theory to applications in the study of small world networks. Elegance in Mathematics Beyond Fermat's Last Theorem: Number theorists are reaching higher ground after Wiles' astounding 1994 proof: new developments inthe elegant world of elliptic curves and modular functions. The Millennium Prize Problems: The Clay Mathematics Institute has offered a million dollars for solutions to seven important and difficult unsolved problems. These are just some of the topics of current interest that are covered in thislatest volume of What's Happening in the Mathematical Sciences. The book has broad appeal for a wide spectrum of mathematicians and scientists, from high school students through advanced-level graduates and researchers.


Advances in Interdisciplinary Mathematical Research

Advances in Interdisciplinary Mathematical Research
Author: Bourama Toni
Publisher: Springer Science & Business Media
Total Pages: 296
Release: 2014-07-08
Genre: Mathematics
ISBN: 1461463459

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This volume contains the invited contributions to the Spring 2012 seminar series at Virginia State University on Mathematical Sciences and Applications. It is a thematic continuation of work presented in Volume 24 of the Springer Proceedings in Mathematics & Statistics series. Contributors present their own work as leading researchers to advance their specific fields and induce a genuine interdisciplinary interaction. Thus all articles therein are selective, self-contained, and are pedagogically exposed to foster student interest in science, technology, engineering and mathematics, stimulate graduate and undergraduate research, as well as collaboration between researchers from different areas. The volume features new advances in mathematical research and its applications: anti-periodicity; almost stochastic difference equations; absolute and conditional stability in delayed equations; gamma-convergence and applications to block copolymer morphology; the dynamics of collision and near-collision in celestial mechanics; almost and pseudo-almost limit cycles; rainbows in spheres and connections to ray, wave and potential scattering theory; null-controllability of the heat equation with constraints; optimal control for systems subjected to null-controllability; the Galerkin method for heat transfer in closed channels; wavelet transforms for real-time noise cancellation; signal, image processing and machine learning in medicine and biology; methodology for research on durability, reliability, damage tolerance of aerospace materials and structures at NASA Langley Research Center. The volume is suitable and valuable for mathematicians, scientists and research students in a variety of interdisciplinary fields, namely physical and life sciences, engineering and technology including structures and materials sciences, computer science for signal, image processing and machine learning in medicine.


Mathematical Sciences and Their Applications

Mathematical Sciences and Their Applications
Author: Karabi Dutta Choudhury
Publisher:
Total Pages: 0
Release: 2013
Genre: Mathematics
ISBN: 9788184871913

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MATHEMATICAL SCIENCES AND THEIR APPLICATIONS: Recent Advances discusses the theoretical and application oriented problems in Mathematics and Mathematical Sciences namely Mathematical Modeling, designing of algorithm with computer applications, Statistical applications and day to day applications for popularizing Mathematics and presents the application of Pure Mathematics through Bernstein set, Fixed point theory, Antieigen values of a bounded linear operator, Lie groups and Lie algebras etc. The Mathematical models are developed through bio-economic model, blood-flow model, waste management models, inventory management models, game theoretic model, linear programming model and queuing model and different algorithms through fuzzy approach, graph theoretic approach and rough set approach etc. Statistical and Mathematical analysis such as Poisson distribution and Gamma distribution etc. are beautifully done in the context of application oriented Mathematical Sciences while describing some models and methods in popularizing Mathematics as a basic Science. This volume may serve as useful source of information and references for postgraduate students, Researchers and Academicians working in the areas of Pure and Applied Mathematics, Statistics, Operations Research, Bio-Mathematics as well as in the areas of Computer and Engineering sciences.