The Mathematical Sciences In 2025

Author : National Research Council,Division on Engineering and Physical Sciences,Board on Mathematical Sciences and Their Applications,Committee on the Mathematical Sciences in 2025
Publisher : National Academies Press
Page : 223 pages
File Size : 46,6 Mb
Release : 2013-06-13
Category : Mathematics
ISBN : 9780309284578

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The Mathematical Sciences in 2025 by National Research Council,Division on Engineering and Physical Sciences,Board on Mathematical Sciences and Their Applications,Committee on the Mathematical Sciences in 2025 Pdf

The mathematical sciences are part of nearly all aspects of everyday life-the discipline has underpinned such beneficial modern capabilities as Internet search, medical imaging, computer animation, numerical weather predictions, and all types of digital communications. The Mathematical Sciences in 2025 examines the current state of the mathematical sciences and explores the changes needed for the discipline to be in a strong position and able to maximize its contribution to the nation in 2025. It finds the vitality of the discipline excellent and that it contributes in expanding ways to most areas of science and engineering, as well as to the nation as a whole, and recommends that training for future generations of mathematical scientists should be re-assessed in light of the increasingly cross-disciplinary nature of the mathematical sciences. In addition, because of the valuable interplay between ideas and people from all parts of the mathematical sciences, the report emphasizes that universities and the government need to continue to invest in the full spectrum of the mathematical sciences in order for the whole enterprise to continue to flourish long-term.

Author : Anonim
Publisher : Unknown
Page : 205 pages
File Size : 52,8 Mb
Release : 2013
Category : MATHEMATICS
ISBN : 0309268796

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The Mathematical Sciences in 2025 by Anonim Pdf

Author : Committee on the Mathematical Sciences in 2025,Board on Mathematical Sciences and Their Applications,Division on Engineering and Physical Sciences,National Research Council
Publisher : National Academies Press
Page : 205 pages
File Size : 41,6 Mb
Release : 2013-05-13
Category : Mathematics
ISBN : 030938768X

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The Mathematical Sciences in 2025 by Committee on the Mathematical Sciences in 2025,Board on Mathematical Sciences and Their Applications,Division on Engineering and Physical Sciences,National Research Council Pdf

The mathematical sciences are part of nearly all aspects of everyday life--the discipline has underpinned such beneficial modern capabilities as Internet search, medical imaging, computer animation, numerical weather predictions, and all types of digital communications. The Mathematical Sciences in 2025 examines the current state of the mathematical sciences and explores the changes needed for the discipline to be in a strong position and able to maximize its contribution to the nation in 2025. It finds the vitality of the discipline excellent and that it contributes in expanding ways to most areas of science and engineering, as well as to the nation as a whole, and recommends that training for future generations of mathematical scientists should be re-assessed in light of the increasingly cross-disciplinary nature of the mathematical sciences. In addition, because of the valuable interplay between ideas and people from all parts of the mathematical sciences, the report emphasizes that universities and the government need to continue to invest in the full spectrum of the mathematical sciences in order for the whole enterprise to continue to flourish long-term.

Author : National Research Council,Division on Engineering and Physical Sciences,Board on Mathematical Sciences and Their Applications,Committee on the Mathematical Sciences in 2025
Publisher : National Academies Press
Page : 64 pages
File Size : 54,8 Mb
Release : 2012-07-02
Category : Mathematics
ISBN : 9780309254762

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Fueling Innovation and Discovery by National Research Council,Division on Engineering and Physical Sciences,Board on Mathematical Sciences and Their Applications,Committee on the Mathematical Sciences in 2025 Pdf

The mathematical sciences are part of everyday life. Modern communication, transportation, science, engineering, technology, medicine, manufacturing, security, and finance all depend on the mathematical sciences. Fueling Innovation and Discovery describes recent advances in the mathematical sciences and advances enabled by mathematical sciences research. It is geared toward general readers who would like to know more about ongoing advances in the mathematical sciences and how these advances are changing our understanding of the world, creating new technologies, and transforming industries. Although the mathematical sciences are pervasive, they are often invoked without an explicit awareness of their presence. Prepared as part of the study on the Mathematical Sciences in 2025, a broad assessment of the current state of the mathematical sciences in the United States, Fueling Innovation and Discovery presents mathematical sciences advances in an engaging way. The report describes the contributions that mathematical sciences research has made to advance our understanding of the universe and the human genome. It also explores how the mathematical sciences are contributing to healthcare and national security, and the importance of mathematical knowledge and training to a range of industries, such as information technology and entertainment. Fueling Innovation and Discovery will be of use to policy makers, researchers, business leaders, students, and others interested in learning more about the deep connections between the mathematical sciences and every other aspect of the modern world. To function well in a technologically advanced society, every educated person should be familiar with multiple aspects of the mathematical sciences.

Author : National Research Council,Division on Engineering and Physical Sciences,Commission on Physical Sciences, Mathematics, and Applications,Board on Mathematical Sciences
Publisher : National Academies Press
Page : 92 pages
File Size : 47,5 Mb
Release : 1997-08-25
Category : Mathematics
ISBN : 9780309058834

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Preserving Strength While Meeting Challenges by National Research Council,Division on Engineering and Physical Sciences,Commission on Physical Sciences, Mathematics, and Applications,Board on Mathematical Sciences Pdf

Author : National Research Council,Division on Engineering and Physical Sciences,Board on Mathematical Sciences and Their Applications,Committee on the Mathematical Sciences in 2025
Publisher : National Academies Press
Page : 223 pages
File Size : 51,7 Mb
Release : 2013-05-13
Category : Mathematics
ISBN : 9780309284608

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The Mathematical Sciences in 2025 by National Research Council,Division on Engineering and Physical Sciences,Board on Mathematical Sciences and Their Applications,Committee on the Mathematical Sciences in 2025 Pdf

The mathematical sciences are part of nearly all aspects of everyday life-the discipline has underpinned such beneficial modern capabilities as Internet search, medical imaging, computer animation, numerical weather predictions, and all types of digital communications. The Mathematical Sciences in 2025 examines the current state of the mathematical sciences and explores the changes needed for the discipline to be in a strong position and able to maximize its contribution to the nation in 2025. It finds the vitality of the discipline excellent and that it contributes in expanding ways to most areas of science and engineering, as well as to the nation as a whole, and recommends that training for future generations of mathematical scientists should be re-assessed in light of the increasingly cross-disciplinary nature of the mathematical sciences. In addition, because of the valuable interplay between ideas and people from all parts of the mathematical sciences, the report emphasizes that universities and the government need to continue to invest in the full spectrum of the mathematical sciences in order for the whole enterprise to continue to flourish long-term.

Author : Ron Buckmire,Jessica M. Libertini
Publisher : Springer Nature
Page : 94 pages
File Size : 44,5 Mb
Release : 2021-03-18
Category : Education
ISBN : 9783030617172

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Improving Applied Mathematics Education by Ron Buckmire,Jessica M. Libertini Pdf

This book presents various contemporary topics in applied mathematics education and addresses both interested undergraduate instructors and STEM education researchers. The diverse set of topics of this edited volume range from analyzing the demographics of the United States mathematics community, discussing the teaching of calculus using modern tools, engaging students to use applied mathematics to learn about and solve problems of global significance, developing a general education course for humanities and social sciences students that features applications of mathematics, and describing local mathematical modeling competitions and their use in providing authentic experiences for students in applying mathematics to real world situations. The authors represent diversity along multiple dimensions of difference: race, gender, institutional affiliation, and professional experience.

Author : Barry Cipra
Publisher : American Mathematical Soc.
Page : 52 pages
File Size : 51,8 Mb
Release : 1993
Category : Mathematics
ISBN : 0821889990

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What's Happening in the Mathematical Sciences by Barry Cipra Pdf

This is the inaugural issue of What's Happening in the Mathematical Sciences, an annual publication that surveys some of the important developments in the mathematical sciences over the past year or so. Mathematics is constantly growing and changing, reaching out to other areas of science and helping to solve some of the major problems facing society. Here you can read about how computers can't always be trusted to provide the right answer, how mathematics is contributing to solving environmental problems, and how mathematicians have solved a longstanding problem about the way a drum's shape affects its sound. What's Happening in the Mathematical Sciences aims to inform the general public about the beauty and power of mathematics.

Author : National Research Council,Division on Engineering and Physical Sciences,Commission on Physical Sciences, Mathematics, and Applications,Committee on U.S. Mathematical Sciences Research Institutes
Publisher : National Academies Press
Page : 41 pages
File Size : 55,9 Mb
Release : 1999-07-01
Category : Mathematics
ISBN : 9780309064927

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U.S. Research Institutes in the Mathematical Sciences by National Research Council,Division on Engineering and Physical Sciences,Commission on Physical Sciences, Mathematics, and Applications,Committee on U.S. Mathematical Sciences Research Institutes Pdf

This report is the result of a fast-track study of U.S. mathematical sciences research institutes done in response to a request from the National Science Foundation (NSF). The task of the Committee on U.S. Mathematical Sciences Research Institutes was to address the following three questions: What are the characteristic features of effective mathematical sciences research institutes in the ways that they further mathematical research in the United States, and are there ways that the current configuration can be improved? What kinds of institutes should there be in the United States, and how many does the nation need? How should U.S. mathematical sciences research institutes be configured (with regard to, for example, diversity of operating formats, distribution of mathematical fields, and interinstitute cooperation or coordination) in order to have the nation's mathematical research enterprise continue to be most productive and successful?

Author : Stephan Ramon Garcia,Steven J. Miller
Publisher : American Mathematical Soc.
Page : 581 pages
File Size : 41,7 Mb
Release : 2019-06-13
Category : Mathematics
ISBN : 9781470436520

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100 Years of Math Milestones: The Pi Mu Epsilon Centennial Collection by Stephan Ramon Garcia,Steven J. Miller Pdf

This book is an outgrowth of a collection of 100 problems chosen to celebrate the 100th anniversary of the undergraduate math honor society Pi Mu Epsilon. Each chapter describes a problem or event, the progress made, and connections to entries from other years or other parts of mathematics. In places, some knowledge of analysis or algebra, number theory or probability will be helpful. Put together, these problems will be appealing and accessible to energetic and enthusiastic math majors and aficionados of all stripes. Stephan Ramon Garcia is WM Keck Distinguished Service Professor and professor of mathematics at Pomona College. He is the author of four books and over eighty research articles in operator theory, complex analysis, matrix analysis, number theory, discrete geometry, and other fields. He has coauthored dozens of articles with students, including one that appeared in The Best Writing on Mathematics: 2015. He is on the editorial boards of Notices of the AMS, Proceedings of the AMS, American Mathematical Monthly, Involve, and Annals of Functional Analysis. He received four NSF research grants as principal investigator and five teaching awards from three different institutions. He is a fellow of the American Mathematical Society and was the inaugural recipient of the Society's Dolciani Prize for Excellence in Research. Steven J. Miller is professor of mathematics at Williams College and a visiting assistant professor at Carnegie Mellon University. He has published five books and over one hundred research papers, most with students, in accounting, computer science, economics, geophysics, marketing, mathematics, operations research, physics, sabermetrics, and statistics. He has served on numerous editorial boards, including the Journal of Number Theory, Notices of the AMS, and the Pi Mu Epsilon Journal. He is active in enrichment and supplemental curricular initiatives for elementary and secondary mathematics, from the Teachers as Scholars Program and VCTAL (Value of Computational Thinking Across Grade Levels), to numerous math camps (the Eureka Program, HCSSiM, the Mathematics League International Summer Program, PROMYS, and the Ross Program). He is a fellow of the American Mathematical Society, an at-large senator for Phi Beta Kappa, and a member of the Mount Greylock Regional School Committee, where he sees firsthand the challenges of applying mathematics.

Author : National Academy of Sciences, United States. National Research Council. Committee on Support of Research in the Mathetical Sciences,National Academy of Sciences (U.S.). Committee on Science and Public Policy
Publisher : Unknown
Page : 270 pages
File Size : 50,6 Mb
Release : 1968
Category : Electronic
ISBN : OCLC:784199371

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The Mathematical Sciences by National Academy of Sciences, United States. National Research Council. Committee on Support of Research in the Mathetical Sciences,National Academy of Sciences (U.S.). Committee on Science and Public Policy Pdf

Author : Giovanni Leoni
Publisher : American Mathematical Soc.
Page : 626 pages
File Size : 51,9 Mb
Release : 2009
Category : Sobolev spaces
ISBN : 9780821847688

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A First Course in Sobolev Spaces by Giovanni Leoni Pdf

Sobolev spaces are a fundamental tool in the modern study of partial differential equations. In this book, Leoni takes a novel approach to the theory by looking at Sobolev spaces as the natural development of monotone, absolutely continuous, and BV functions of one variable. In this way, the majority of the text can be read without the prerequisite of a course in functional analysis. The first part of this text is devoted to studying functions of one variable. Several of the topics treated occur in courses on real analysis or measure theory. Here, the perspective emphasizes their applications to Sobolev functions, giving a very different flavor to the treatment. This elementary start to the book makes it suitable for advanced undergraduates or beginning graduate students. Moreover, the one-variable part of the book helps to develop a solid background that facilitates the reading and understanding of Sobolev functions of several variables. The second part of the book is more classical, although it also contains some recent results. Besides the standard results on Sobolev functions, this part of the book includes chapters on BV functions, symmetric rearrangement, and Besov spaces. The book contains over 200 exercises.

Author : National Research Council,Division on Engineering and Physical Sciences,Board on Mathematical Sciences and Their Applications,Committee on Mathematical Sciences Research for DOE's Computational Biology
Publisher : National Academies Press
Page : 163 pages
File Size : 45,8 Mb
Release : 2005-07-16
Category : Science
ISBN : 9780309095846

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Mathematics and 21st Century Biology by National Research Council,Division on Engineering and Physical Sciences,Board on Mathematical Sciences and Their Applications,Committee on Mathematical Sciences Research for DOE's Computational Biology Pdf

The exponentially increasing amounts of biological data along with comparable advances in computing power are making possible the construction of quantitative, predictive biological systems models. This development could revolutionize those biology-based fields of science. To assist this transformation, the U.S. Department of Energy asked the National Research Council to recommend mathematical research activities to enable more effective use of the large amounts of existing genomic information and the structural and functional genomic information being created. The resulting study is a broad, scientifically based view of the opportunities lying at the mathematical science and biology interface. The book provides a review of past successes, an examination of opportunities at the various levels of biological systemsâ€" from molecules to ecosystemsâ€"an analysis of cross-cutting themes, and a set of recommendations to advance the mathematics-biology connection that are applicable to all agencies funding research in this area.

Author : Pamela E. Harris
Publisher : American Mathematical Soc.
Page : 286 pages
File Size : 45,5 Mb
Release : 2021-08-16
Category : Education
ISBN : 9781470466572

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Testimonios: Stories of Latinx and Hispanic Mathematicians by Pamela E. Harris Pdf

Testimonios brings together first-person narratives from the vibrant, diverse, and complex Latinx and Hispanic mathematical community. Starting with childhood and family, the authors recount their own individual stories, highlighting their upbringing, education, and career paths. Their particular stories, told in their own voices, from their own perspectives, give visibility to some of the experiences of Latinx/Hispanic mathematicians. Testimonios seeks to inspire the next generation of Latinx and Hispanic mathematicians by featuring the stories of people like them, holding a mirror up to our own community. It also aims to provide a window for mathematicians (and aspiring mathematicians) from all ethnicities, with the hope of inspiring a better understanding of the diversity of the mathematical community.

Author : National Research Council,Division on Engineering and Physical Sciences,Commission on Physical Sciences, Mathematics, and Applications,Committee on the Mathematical Sciences in the Year 2000,Bernard L. Madison
Publisher : National Academies Press
Page : 136 pages
File Size : 51,9 Mb
Release : 1990-02-01
Category : Mathematics
ISBN : 9780309041904

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A Challenge of Numbers by National Research Council,Division on Engineering and Physical Sciences,Commission on Physical Sciences, Mathematics, and Applications,Committee on the Mathematical Sciences in the Year 2000,Bernard L. Madison Pdf

A Challenge of Numbers describes the circumstances and issues centered on people in the mathematical sciences, principally students and teachers at U.S. colleges and universities. A healthy flow of mathematical talent is crucial not only to the future of U.S. mathematics but also as a keystone supporting a technological workforce. Trends in the mathematical sciences' most valuable resourceâ€"its peopleâ€"are presented narratively, graphically, and numerically as an information base for policymakers and for those interested in the people in this not very visible, but critical profession.