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Mathematical Sciences with Multidisciplinary Applications

Mathematical Sciences with Multidisciplinary Applications
Author: Bourama Toni
Publisher: Springer
Total Pages: 654
Release: 2016-08-19
Genre: Mathematics
ISBN: 3319313231

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This book is the fourth in a multidisciplinary series which brings together leading researchers in the STEAM-H disciplines (Science, Technology, Engineering, Agriculture, Mathematics and Health) to present their perspective on advances in their own specific fields, and to generate a genuinely interdisciplinary collaboration that transcends parochial subject-matter boundaries. All contributions are carefully edited, peer-reviewed, reasonably self-contained, and pedagogically crafted for a multidisciplinary readership. Contributions are drawn from a variety of fields including mathematics, statistics, game theory and behavioral sciences, biomathematics and physical chemistry, computer science and human-centered computing. This volume is dedicated to Professor Christiane Rousseau, whose work inspires the STEAM-H series, in recognition of her passion for the mathematical sciences and her on-going initiative, the Mathematics of Planet Earth paradigm of interdisciplinarity. The volume's primary goal is to enhance interdisciplinary understanding between these areas of research by showing how new advances in a particular field can be relevant to open problems in another and how many disciplines contribute to a better understanding of relevant issues at the interface of mathematics and the sciences. The main emphasis is on important methods, research directions and applications of analysis within and beyond each field. As such, the volume aims to foster student interest and participation in the STEAM-H domain, as well as promote interdisciplinary research collaborations. The volume is valuable as a reference of choice and a source of inspiration for a broad spectrum of scientists, mathematicians, research students and postdoctoral fellows.


Interdisciplinary Research

Interdisciplinary Research
Author: Allen F. Repko
Publisher: SAGE Publications
Total Pages: 530
Release: 2020-01-10
Genre: Social Science
ISBN: 1544398581

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Interdisciplinary Research: Process and Theory offers a comprehensive, systematic presentation of the interdisciplinary decision-making process by drawing on student and professional work from the natural sciences, social sciences, humanities, and applied fields. Designed for active learning and problem-based approaches, the Fourth Edition includes expanded discussion of epistemology, creativity within the interdisciplinary research process, confirmation bias and social media, the philosophy of integration, and student work patterns, mapping, and the importance of performing independent research while working through this book. An Instructor website for the book includes a test bank, PowerPoint slides, and tables and figures from the book.


Facilitating Interdisciplinary Research

Facilitating Interdisciplinary Research
Author: Institute of Medicine
Publisher: National Academies Press
Total Pages: 332
Release: 2005-04-04
Genre: Science
ISBN: 0309165482

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Facilitating Interdisciplinary Research examines current interdisciplinary research efforts and recommends ways to stimulate and support such research. Advances in science and engineering increasingly require the collaboration of scholars from various fields. This shift is driven by the need to address complex problems that cut across traditional disciplines, and the capacity of new technologies to both transform existing disciplines and generate new ones. At the same time, however, interdisciplinary research can be impeded by policies on hiring, promotion, tenure, proposal review, and resource allocation that favor traditional disciplines. This report identifies steps that researchers, teachers, students, institutions, funding organizations, and disciplinary societies can take to more effectively conduct, facilitate, and evaluate interdisciplinary research programs and projects. Throughout the report key concepts are illustrated with case studies and results of the committee's surveys of individual researchers and university provosts.


The Mathematics Enthusiast

The Mathematics Enthusiast
Author: Bharath Sriraman
Publisher: IAP
Total Pages: 482
Release: 2015-10-01
Genre: Education
ISBN: 1681232588

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The Mathematics Enthusiast (TME) is an eclectic internationally circulated peer reviewed journal which focuses on mathematics content, mathematics education research, innovation, interdisciplinary issues and pedagogy. The journal exists as an independent entity. It is published on a print?on?demand basis by Information Age Publishing and the electronic version is hosted by the Department of Mathematical Sciences? University of Montana. The journal is not affiliated to nor subsidized by any professional organizations but supports PMENA [Psychology of Mathematics Education? North America] through special issues on various research topics.


Current Trends in Mathematical Analysis and Its Interdisciplinary Applications

Current Trends in Mathematical Analysis and Its Interdisciplinary Applications
Author: Hemen Dutta
Publisher: Springer Nature
Total Pages: 912
Release: 2019-08-23
Genre: Mathematics
ISBN: 3030152421

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This book explores several important aspects of recent developments in the interdisciplinary applications of mathematical analysis (MA), and highlights how MA is now being employed in many areas of scientific research. Each of the 23 carefully reviewed chapters was written by experienced expert(s) in respective field, and will enrich readers’ understanding of the respective research problems, providing them with sufficient background to understand the theories, methods and applications discussed. The book’s main goal is to highlight the latest trends and advances, equipping interested readers to pursue further research of their own. Given its scope, the book will especially benefit graduate and PhD students, researchers in the applied sciences, educators, and engineers with an interest in recent developments in the interdisciplinary applications of mathematical analysis.


Mathematical Analysis in Interdisciplinary Research

Mathematical Analysis in Interdisciplinary Research
Author: Ioannis N. Parasidis
Publisher: Springer Nature
Total Pages: 1050
Release: 2022-03-10
Genre: Mathematics
ISBN: 3030847217

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This contributed volume provides an extensive account of research and expository papers in a broad domain of mathematical analysis and its various applications to a multitude of fields. Presenting the state-of-the-art knowledge in a wide range of topics, the book will be useful to graduate students and researchers in theoretical and applicable interdisciplinary research. The focus is on several subjects including: optimal control problems, optimal maintenance of communication networks, optimal emergency evacuation with uncertainty, cooperative and noncooperative partial differential systems, variational inequalities and general equilibrium models, anisotropic elasticity and harmonic functions, nonlinear stochastic differential equations, operator equations, max-product operators of Kantorovich type, perturbations of operators, integral operators, dynamical systems involving maximal monotone operators, the three-body problem, deceptive systems, hyperbolic equations, strongly generalized preinvex functions, Dirichlet characters, probability distribution functions, applied statistics, integral inequalities, generalized convexity, global hyperbolicity of spacetimes, Douglas-Rachford methods, fixed point problems, the general Rodrigues problem, Banach algebras, affine group, Gibbs semigroup, relator spaces, sparse data representation, Meier-Keeler sequential contractions, hybrid contractions, and polynomial equations. Some of the works published within this volume provide as well guidelines for further research and proposals for new directions and open problems.