Catherine Beneteau Alberto A Condori Constanze Liaw William T Ross And Alan A Sola

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Catherine Beneteau, Alberto A. Condori, Constanze Liaw, William T. Ross, and Alan A. Sola

Author : Catherine Bénéteau:
Publisher : American Mathematical Soc.
ISBN 13 : 1470423057
Total Pages : 217 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Catherine Beneteau, Alberto A. Condori, Constanze Liaw, William T. Ross, and Alan A. Sola by : Catherine Bénéteau:

Download or read book Catherine Beneteau, Alberto A. Condori, Constanze Liaw, William T. Ross, and Alan A. Sola written by Catherine Bénéteau: and published by American Mathematical Soc.. This book was released on 2016-12-22 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the Proceedings of the Conference on Completeness Problems, Carleson Measures, and Spaces of Analytic Functions, held from June 29–July 3, 2015, at the Institut Mittag-Leffler, Djursholm, Sweden. The conference brought together experienced researchers and promising young mathematicians from many countries to discuss recent progress made in function theory, model spaces, completeness problems, and Carleson measures. This volume contains articles covering cutting-edge research questions, as well as longer survey papers and a report on the problem session that contains a collection of attractive open problems in complex and harmonic analysis.

The Mathematical Education of Teachers

Author : Conference Board of the Mathematical Sciences
Publisher : American Mathematical Soc.
ISBN 13 : 9780821828991
Total Pages : 164 pages
Book Rating : 4.8/5 (289 download)

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Book Synopsis The Mathematical Education of Teachers by : Conference Board of the Mathematical Sciences

Download or read book The Mathematical Education of Teachers written by Conference Board of the Mathematical Sciences and published by American Mathematical Soc.. This book was released on 2001 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now is a time of great interest in mathematics education. Student performance, curriculum, and teacher education are the subjects of much scrutiny and debate. Studies on the mathematical knowledge of prospective and practicing U. S. teachers suggest ways to improve their mathematical educations. It is often assumed that because the topics covered in K-12 mathematics are so basic, they should be easy to teach. However, research in mathematics education has shown that to teach well,substantial mathematical understanding is necessary--even to teach whole-number arithmetic. Prospective teachers need a solid understanding of mathematics so that they can teach it as a coherent, reasoned activity and communicate its elegance and power. This volume gathers and reports current thinkingon curriculum and policy issues affecting the mathematical education of teachers. It considers two general themes: (1) the intellectual substance in school mathematics; and (2) the special nature of the mathematical knowledge needed for teaching. The underlying study was funded by a grant from the U.S. Department of Education. The mathematical knowledge needed for teaching is quite different from that required by students pursuing other mathematics-related professions. Material here is gearedtoward stimulating efforts on individual campuses to improve programs for prospective teachers. This report contains general recommendations for all grades and extensive discussions of the specific mathematical knowledge required for teaching elementary, middle, and high-school grades, respectively.It is also designed to marshal efforts in the mathematical sciences community to back important national initiatives to improve mathematics education and to expand professional development opportunities. The book will be an important resource for mathematics faculty and other parties involved in the mathematical education of teachers. Information for our distributors: This series is published in cooperation with the Mathematical Association of America.

Tensor Categories

Author : Pavel Etingof
Publisher : American Mathematical Soc.
ISBN 13 : 1470434415
Total Pages : 344 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Tensor Categories by : Pavel Etingof

Download or read book Tensor Categories written by Pavel Etingof and published by American Mathematical Soc.. This book was released on 2016-08-05 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: Is there a vector space whose dimension is the golden ratio? Of course not—the golden ratio is not an integer! But this can happen for generalizations of vector spaces—objects of a tensor category. The theory of tensor categories is a relatively new field of mathematics that generalizes the theory of group representations. It has deep connections with many other fields, including representation theory, Hopf algebras, operator algebras, low-dimensional topology (in particular, knot theory), homotopy theory, quantum mechanics and field theory, quantum computation, theory of motives, etc. This book gives a systematic introduction to this theory and a review of its applications. While giving a detailed overview of general tensor categories, it focuses especially on the theory of finite tensor categories and fusion categories (in particular, braided and modular ones), and discusses the main results about them with proofs. In particular, it shows how the main properties of finite-dimensional Hopf algebras may be derived from the theory of tensor categories. Many important results are presented as a sequence of exercises, which makes the book valuable for students and suitable for graduate courses. Many applications, connections to other areas, additional results, and references are discussed at the end of each chapter.

Elementary Applied Topology

Author : Robert W. Ghrist
Publisher : Createspace Independent Publishing Platform
ISBN 13 : 9781502880857
Total Pages : 0 pages
Book Rating : 4.8/5 (88 download)

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Book Synopsis Elementary Applied Topology by : Robert W. Ghrist

Download or read book Elementary Applied Topology written by Robert W. Ghrist and published by Createspace Independent Publishing Platform. This book was released on 2014 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives an introduction to the mathematics and applications comprising the new field of applied topology. The elements of this subject are surveyed in the context of applications drawn from the biological, economic, engineering, physical, and statistical sciences.

Finite Frames

Author : Peter G. Casazza
Publisher : Springer Science & Business Media
ISBN 13 : 0817683739
Total Pages : 492 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Finite Frames by : Peter G. Casazza

Download or read book Finite Frames written by Peter G. Casazza and published by Springer Science & Business Media. This book was released on 2012-09-14 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hilbert space frames have long served as a valuable tool for signal and image processing due to their resilience to additive noise, quantization, and erasures, as well as their ability to capture valuable signal characteristics. More recently, finite frame theory has grown into an important research topic in its own right, with a myriad of applications to pure and applied mathematics, engineering, computer science, and other areas. The number of research publications, conferences, and workshops on this topic has increased dramatically over the past few years, but no survey paper or monograph has yet appeared on the subject. Edited by two of the leading experts in the field, Finite Frames aims to fill this void in the literature by providing a comprehensive, systematic study of finite frame theory and applications. With carefully selected contributions written by highly experienced researchers, it covers topics including: * Finite Frame Constructions; * Optimal Erasure Resilient Frames; * Quantization of Finite Frames; * Finite Frames and Compressed Sensing; * Group and Gabor Frames; * Fusion Frames. Despite the variety of its chapters' source and content, the book's notation and terminology are unified throughout and provide a definitive picture of the current state of frame theory. With a broad range of applications and a clear, full presentation, this book is a highly valuable resource for graduate students and researchers across disciplines such as applied harmonic analysis, electrical engineering, quantum computing, medicine, and more. It is designed to be used as a supplemental textbook, self-study guide, or reference book.

Newton Methods

Author : Ioannis K. Argyros
Publisher : Nova Publishers
ISBN 13 : 9781594540523
Total Pages : 422 pages
Book Rating : 4.5/5 (45 download)

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Book Synopsis Newton Methods by : Ioannis K. Argyros

Download or read book Newton Methods written by Ioannis K. Argyros and published by Nova Publishers. This book was released on 2005 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained treatment offers a contemporary and systematic development of the theory and application of Newton methods, which are undoubtedly the most effective tools for solving equations appearing in computational sciences. Its focal point resides in an exhaustive analysis of the convergence properties of several Newton variants used in connection to specific real life problems originated from astrophysics, engineering, mathematical economics and other applied areas. What distinguishes this book from others is the fact that the weak convergence conditions inaugurated here allow for a wider applicability of Newton methods; finer error bounds on the distances involved, and a more precise information on the location of the solution. These factors make this book ideal for researchers, practitioners and students.

Random Growth Models

Author : Michael Damron
Publisher : American Mathematical Soc.
ISBN 13 : 1470435535
Total Pages : 256 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Random Growth Models by : Michael Damron

Download or read book Random Growth Models written by Michael Damron and published by American Mathematical Soc.. This book was released on 2018-09-27 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of random growth models began in probability theory about 50 years ago, and today this area occupies a central place in the subject. The considerable challenges posed by these models have spurred the development of innovative probability theory and opened up connections with several other parts of mathematics, such as partial differential equations, integrable systems, and combinatorics. These models also have applications to fields such as computer science, biology, and physics. This volume is based on lectures delivered at the 2017 AMS Short Course “Random Growth Models”, held January 2–3, 2017 in Atlanta, GA. The articles in this book give an introduction to the most-studied models; namely, first- and last-passage percolation, the Eden model of cell growth, and particle systems, focusing on the main research questions and leading up to the celebrated Kardar-Parisi-Zhang equation. Topics covered include asymptotic properties of infection times, limiting shape results, fluctuation bounds, and geometrical properties of geodesics, which are optimal paths for growth.

Discrete Fractional Calculus

Author : Christopher Goodrich
Publisher : Springer
ISBN 13 : 3319255622
Total Pages : 556 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Discrete Fractional Calculus by : Christopher Goodrich

Download or read book Discrete Fractional Calculus written by Christopher Goodrich and published by Springer. This book was released on 2016-02-09 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text provides the first comprehensive treatment of the discrete fractional calculus. Experienced researchers will find the text useful as a reference for discrete fractional calculus and topics of current interest. Students who are interested in learning about discrete fractional calculus will find this text to provide a useful starting point. Several exercises are offered at the end of each chapter and select answers have been provided at the end of the book. The presentation of the content is designed to give ample flexibility for potential use in a myriad of courses and for independent study. The novel approach taken by the authors includes a simultaneous treatment of the fractional- and integer-order difference calculus (on a variety of time scales, including both the usual forward and backwards difference operators). The reader will acquire a solid foundation in the classical topics of the discrete calculus while being introduced to exciting recent developments, bringing them to the frontiers of the subject. Most chapters may be covered or omitted, depending upon the background of the student. For example, the text may be used as a primary reference in an introductory course for difference equations which also includes discrete fractional calculus. Chapters 1—2 provide a basic introduction to the delta calculus including fractional calculus on the set of integers. For courses where students already have background in elementary real analysis, Chapters 1—2 may be covered quickly and readers may then skip to Chapters 6—7 which present some basic results in fractional boundary value problems (FBVPs). Chapters 6—7 in conjunction with some of the current literature listed in the Bibliography can provide a basis for a seminar in the current theory of FBVPs. For a two-semester course, Chapters 1—5 may be covered in depth, providing a very thorough introduction to both the discrete fractional calculus as well as the integer-order calculus.

Quantitative Literacy

Author : Bernard L. Madison
Publisher :
ISBN 13 :
Total Pages : 280 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Quantitative Literacy by : Bernard L. Madison

Download or read book Quantitative Literacy written by Bernard L. Madison and published by . This book was released on 2003 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Rigorous Numerics in Dynamics

Author : Jan Bouwe Van
Publisher :
ISBN 13 : 9781470447298
Total Pages : 226 pages
Book Rating : 4.4/5 (472 download)

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Book Synopsis Rigorous Numerics in Dynamics by : Jan Bouwe Van

Download or read book Rigorous Numerics in Dynamics written by Jan Bouwe Van and published by . This book was released on 2018 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is based on lectures delivered at the 2016 AMS Short Course ""Rigorous Numerics in Dynamics"", held January 4-5, 2016, in Seattle, Washington. Nonlinear dynamics shapes the world around us, from the harmonious movements of celestial bodies, via the swirling motions in fluid flows, to the complicated biochemistry in the living cell. Mathematically these phenomena are modeled by nonlinear dynamical systems, in the form of ODEs, PDEs and delay equations. The presence of nonlinearities complicates the analysis, and the difficulties are even greater for PDEs and delay equations, which a.

Difference Equations, Second Edition

Author : R Mickens
Publisher : CRC Press
ISBN 13 : 9780442001360
Total Pages : 470 pages
Book Rating : 4.0/5 (13 download)

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Book Synopsis Difference Equations, Second Edition by : R Mickens

Download or read book Difference Equations, Second Edition written by R Mickens and published by CRC Press. This book was released on 1991-01-01 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, the study of difference equations has acquired a new significance, due in large part to their use in the formulation and analysis of discrete-time systems, the numerical integration of differential equations by finite-difference schemes, and the study of deterministic chaos. The second edition of Difference Equations: Theory and Applications provides a thorough listing of all major theorems along with proofs. The text treats the case of first-order difference equations in detail, using both analytical and geometrical methods. Both ordinary and partial difference equations are considered, along with a variety of special nonlinear forms for which exact solutions can be determined. Numerous worked examples and problems allow readers to fully understand the material in the text. They also give possible generalization of the theorems and application models. The text's expanded coverage of application helps readers appreciate the benefits of using difference equations in the modeling and analysis of "realistic" problems from a broad range of fields. The second edition presents, analyzes, and discusses a large number of applications from the mathematical, biological, physical, and social sciences. Discussions on perturbation methods and difference equation models of differential equation models of differential equations represent contributions by the author to the research literature. Reference to original literature show how the elementary models of the book can be extended to more realistic situations. Difference Equations, Second Edition gives readers a background in discrete mathematics that many workers in science-oriented industries need as part of their general scientific knowledge. With its minimal mathematical background requirements of general algebra and calculus, this unique volume will be used extensively by students and professional in science and technology, in areas such as applied mathematics, control theory, population science, economics, and electronic circuits, especially discrete signal processing.

Elements of Geometry

Author : Euclid
Publisher :
ISBN 13 :
Total Pages : 144 pages
Book Rating : 4.A/5 ( download)

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Book Synopsis Elements of Geometry by : Euclid

Download or read book Elements of Geometry written by Euclid and published by . This book was released on 1881 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Intuitive Geometry

Author : Imre Bárány
Publisher :
ISBN 13 :
Total Pages : 456 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Intuitive Geometry by : Imre Bárány

Download or read book Intuitive Geometry written by Imre Bárány and published by . This book was released on 1997 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Combinatorial Algebraic Geometry

Author : Gregory G. Smith
Publisher : Springer
ISBN 13 : 1493974866
Total Pages : 390 pages
Book Rating : 4.4/5 (939 download)

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Book Synopsis Combinatorial Algebraic Geometry by : Gregory G. Smith

Download or read book Combinatorial Algebraic Geometry written by Gregory G. Smith and published by Springer. This book was released on 2017-11-17 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consolidates selected articles from the 2016 Apprenticeship Program at the Fields Institute, part of the larger program on Combinatorial Algebraic Geometry that ran from July through December of 2016. Written primarily by junior mathematicians, the articles cover a range of topics in combinatorial algebraic geometry including curves, surfaces, Grassmannians, convexity, abelian varieties, and moduli spaces. This book bridges the gap between graduate courses and cutting-edge research by connecting historical sources, computation, explicit examples, and new results.

Linear Delay-Differential Systems with Commensurate Delays: An Algebraic Approach

Author : Heide Gluesing-Luerssen
Publisher : Springer
ISBN 13 : 3540455434
Total Pages : 178 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Linear Delay-Differential Systems with Commensurate Delays: An Algebraic Approach by : Heide Gluesing-Luerssen

Download or read book Linear Delay-Differential Systems with Commensurate Delays: An Algebraic Approach written by Heide Gluesing-Luerssen and published by Springer. This book was released on 2004-10-20 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book deals with linear time-invariant delay-differential equations with commensurated point delays in a control-theoretic context. The aim is to show that with a suitable algebraic setting a behavioral theory for dynamical systems described by such equations can be developed. The central object is an operator algebra which turns out to be an elementary divisor domain and thus provides the main tool for investigating the corresponding matrix equations. The book also reports the results obtained so far for delay-differential systems with noncommensurate delays. Moreover, whenever possible it points out similarities and differences to the behavioral theory of multidimensional systems, which is based on a great deal of algebraic structure itself. The presentation is introductory and self-contained. It should also be accessible to readers with no background in delay-differential equations or behavioral systems theory. The text should interest researchers and graduate students.

Mathematical Questions and Solutions

Author :
Publisher :
ISBN 13 :
Total Pages : 154 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Mathematical Questions and Solutions by :

Download or read book Mathematical Questions and Solutions written by and published by . This book was released on 1891 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Scholarship of Teaching and Learning

Author : Jacqueline M. Dewar
Publisher : Oxford University Press
ISBN 13 : 0198821212
Total Pages : 195 pages
Book Rating : 4.1/5 (988 download)

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Book Synopsis The Scholarship of Teaching and Learning by : Jacqueline M. Dewar

Download or read book The Scholarship of Teaching and Learning written by Jacqueline M. Dewar and published by Oxford University Press. This book was released on 2018 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Scholarship of Teaching and Learning: A Guide for Scientists, Engineers, and Mathematicians shows college and university faculty members how to draw on their disciplinary knowledge and teaching experience to investigate questions about student learning. It takes readers all the way through the inquiry process beginning with framing a research question and selecting a research design, moving on to gathering and analyzing evidence, and finally to making the results public. Numerous examples are provided at each stage, many from published studies of teaching and learning in science, engineering, or mathematics. At strategic points, short sets of questions prompt readers to pause and reflect, plan, or act. These questions are derived from the authors' experience leading many workshops in the United States and Canada on how to do the scholarship of teaching and learning (SoTL). The taxonomy of SoTL questions-What works? What is? What could be?-that emerged from the SoTL studies undertaken by scholars in the Carnegie Academic for the Scholarship of Teaching and Learning serves as a framework at many stages of the inquiry process. The book addresses the issue of evaluating and valuing this work, including implications for junior faculty who wish to engage in SoTL. The authors explain why SoTL should be of interest to STEM (science, technology, engineering, and mathematics) faculty at all types of higher education institutions, including faculty members active in traditional STEM research. They also give their perspective on the benefits of SoTL to faculty, to their institutions, to the academy, and to students.