Advances in Mathematical Sciences

Advances in Mathematical Sciences
Author: Bahar Acu
Publisher: Springer Nature
Total Pages: 364
Release: 2020-07-16
Genre: Mathematics
ISBN: 3030426874

This volume highlights the mathematical research presented at the 2019 Association for Women in Mathematics (AWM) Research Symposium held at Rice University, April 6-7, 2019. The symposium showcased research from women across the mathematical sciences working in academia, government, and industry, as well as featured women across the career spectrum: undergraduates, graduate students, postdocs, and professionals. The book is divided into eight parts, opening with a plenary talk and followed by a combination of research paper contributions and survey papers in the different areas of mathematics represented at the symposium: algebraic combinatorics and graph theory algebraic biology commutative algebra analysis, probability, and PDEs topology applied mathematics mathematics education

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

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.

Algebraic and Geometric Methods in Statistics

Algebraic and Geometric Methods in Statistics
Author: Paolo Gibilisco
Publisher: Cambridge University Press
Total Pages: 447
Release: 2010
Genre: Mathematics
ISBN: 0521896193

An up-to-date account of algebraic statistics and information geometry, which also explores the emerging connections between these two disciplines.

Groups of Circle Diffeomorphisms

Groups of Circle Diffeomorphisms
Author: Andrés Navas
Publisher: University of Chicago Press
Total Pages: 310
Release: 2011-06-30
Genre: Mathematics
ISBN: 0226569519

In recent years scholars from a variety of branches of mathematics have made several significant developments in the theory of group actions. Groups of Circle Diffeomorphisms systematically explores group actions on the simplest closed manifold, the circle. As the group of circle diffeomorphisms is an important subject in modern mathematics, this book will be of interest to those doing research in group theory, dynamical systems, low dimensional geometry and topology, and foliation theory. The book is mostly self-contained and also includes numerous complementary exercises, making it an excellent textbook for undergraduate and graduate students.

Combinatorial and Computational Geometry

Combinatorial and Computational Geometry
Author: Jacob E. Goodman
Publisher: Cambridge University Press
Total Pages: 640
Release: 2005-08-08
Genre: Computers
ISBN: 9780521848626

This 2005 book deals with interest topics in Discrete and Algorithmic aspects of Geometry.

Ants XIV

Ants XIV
Author: Steven Galbraith
Publisher:
Total Pages:
Release: 2020-12-29
Genre:
ISBN: 9781935107071

The Algorithmic Number Theory Symposium (ANTS), held biennially since 1994, is the premier international forum for research in computational and algorithmic number theory. ANTS is devoted to algorithmic aspects of number theory, including elementary, algebraic, and analytic number theory, the geometry of numbers, arithmetic algebraic geometry, the theory of finite fields, and cryptography.This volume is the proceedings of the fourteenth ANTS meeting, which took place 29 June to 4 July 2020 via video conference, the plans for holding it at the University of Auckland, New Zealand, having been disrupted by the COVID-19 pandemic. The volume contains revised and edited versions of 24 refereed papers and one invited paper presented at the conference.

Computational Probability

Computational Probability
Author: John H. Drew
Publisher: Springer Science & Business Media
Total Pages: 220
Release: 2008-01-08
Genre: Mathematics
ISBN: 0387746765

This title organizes computational probability methods into a systematic treatment. The book examines two categories of problems. "Algorithms for Continuous Random Variables" covers data structures and algorithms, transformations of random variables, and products of independent random variables. "Algorithms for Discrete Random Variables" discusses data structures and algorithms, sums of independent random variables, and order statistics.

Nonnegative Matrices in the Mathematical Sciences

Nonnegative Matrices in the Mathematical Sciences
Author: Abraham Berman
Publisher: Academic Press
Total Pages: 337
Release: 2014-05-10
Genre: Mathematics
ISBN: 1483260860

Nonnegative Matrices in the Mathematical Sciences provides information pertinent to the fundamental aspects of the theory of nonnegative matrices. This book describes selected applications of the theory to numerical analysis, probability, economics, and operations research. Organized into 10 chapters, this book begins with an overview of the properties of nonnegative matrices. This text then examines the inverse-positive matrices. Other chapters consider the basic approaches to the study of nonnegative matrices, namely, geometrical and combinatorial. This book discusses as well some useful ideas from the algebraic theory of semigroups and considers a canonical form for nonnegative idempotent matrices and special types of idempotent matrices. The final chapter deals with the linear complementary problem (LCP). This book is a valuable resource for mathematical economists, mathematical programmers, statisticians, mathematicians, and computer scientists.