Mathematics in Society and History

Sociological Inquiries

Author: S. Restivo

Publisher: Springer Science & Business Media

ISBN: 9781402000393

Category: Education

Page: 202

View: 3168

This is the first book by a sociologist devoted exclusively to a general sociology of mathematics. The author provides examples of different ways of thinking about mathematics sociologically. The survey of mathematical traditions covers ancient China, the Arabic-Islamic world, India, and Europe. Following the leads of classical social theorists such as Emile Durkheim, Restivo develops the idea that mathematical concepts and ideas are collective representations, and that it is mathematical communities that create mathematics, not individual mathematicians. The implications of the sociology of mathematics, and especially of pure mathematics, for a sociology of mind are also explored. In general, the author's objective is to explore, conjecture, suggest, and stimulate in order to introduce the sociological perspective on mathematics, and to broaden and deepen the still narrow, shallow path that today carries the sociology of mathematics. This book will interest specialists in the philosophy, history, and sociology of mathematics, persons interested in mathematics education, students of science and society, and people interested in current developments in the social and cultural analysis of science and mathematics.

Encyclopedia of Mathematics and Society

Author: Sarah J. Greenwald,Jill E. Thomley

Publisher: Salem PressInc

ISBN: 9781587658464

Category: Mathematics

Page: 1191

View: 5996

Presents articles showing the math behind our daily lives. Explains how and why math works, and allows readers to better understand how disciplines such as algebra, geometry, calculus, and others affect what we do every day.

New Mathematics Education Research and Practice

Author: Jürgen Maass,Wolfgang Schlöglmann

Publisher: Sense Publishers

ISBN: 9077874747

Category: Education

Page: 315

View: 2292

Mathematics education research has blossomed into many different areas, which we can see in the programmes of the ICME conferences, as well as in the various survey articles in the Handbooks. However, all of these lines of research are trying to grapple with the complexity of the same process of learning mathematics. Although our knowledge of the process is through fragmentation of research more extensive and deeper there is a need to overcome this fragmentation and to see learning as one process with different aspects. To overcome this fragmentation, this book identifies six themes: (1) mathematics, culture and society, (2) the structure of mathematics and its influence on the learning process, (3) mathematics learning as a cognitive process, (4) mathematics learning as a social process, (5) affective conditions of the mathematics learning process, (6) new technologies and mathematics learning. This book is addressed to all researchers in mathematic education. It gives an orientation and overview on what is going on and what are the main results and questions what are important books or papers if further information is needed.

Proceedings of the Tunisian Mathematical Society

Author: K. Trimeche,S. Zarati

Publisher: Nova Publishers

ISBN: 9781600210143

Category: Mathematics

Page: 161

View: 7586

These proceedings consist of ten carefully refereed and selected papers which were presented at the 12th symposium of Tunisian Mathematical Society held on March 18-23, 2004 in Mahdia (Tunisia). This symposium was one of the largest international meeting on Mathematics in Tunisia. A total of 200 participants from several countries attended to the meeting. In addition to the plenary, invited and contributed talks, there was a panel discussion on future research directions and problems in various areas of mathematics.

Einführung in die Geometrie und Topologie

Author: Werner Ballmann

Publisher: Springer-Verlag

ISBN: 3034809018

Category: Mathematics

Page: 162

View: 7895

Das Buch bietet eine Einführung in die Topologie, Differentialtopologie und Differentialgeometrie. Es basiert auf Manuskripten, die in verschiedenen Vorlesungszyklen erprobt wurden. Im ersten Kapitel werden grundlegende Begriffe und Resultate aus der mengentheoretischen Topologie bereitgestellt. Eine Ausnahme hiervon bildet der Jordansche Kurvensatz, der für Polygonzüge bewiesen wird und eine erste Idee davon vermitteln soll, welcher Art tiefere topologische Probleme sind. Im zweiten Kapitel werden Mannigfaltigkeiten und Liesche Gruppen eingeführt und an einer Reihe von Beispielen veranschaulicht. Diskutiert werden auch Tangential- und Vektorraumbündel, Differentiale, Vektorfelder und Liesche Klammern von Vektorfeldern. Weiter vertieft wird diese Diskussion im dritten Kapitel, in dem die de Rhamsche Kohomologie und das orientierte Integral eingeführt und der Brouwersche Fixpunktsatz, der Jordan-Brouwersche Zerlegungssatz und die Integralformel von Stokes bewiesen werden. Das abschließende vierte Kapitel ist den Grundlagen der Differentialgeometrie gewidmet. Entlang der Entwicklungslinien, die die Geometrie der Kurven und Untermannigfaltigkeiten in Euklidischen Räumen durchlaufen hat, werden Zusammenhänge und Krümmung, die zentralen Konzepte der Differentialgeometrie, diskutiert. Den Höhepunkt bilden die Gaussgleichungen, die Version des theorema egregium von Gauss für Untermannigfaltigkeiten beliebiger Dimension und Kodimension. Das Buch richtet sich in erster Linie an Mathematik- und Physikstudenten im zweiten und dritten Studienjahr und ist als Vorlage für ein- oder zweisemestrige Vorlesungen geeignet.

New Perspectives in Mathematical Biology

Author: Society for Mathematical Biology. Conference

Publisher: American Mathematical Soc.

ISBN: 0821848453

Category: Mathematics

Page: 134

View: 1680

In the 21st century, the interdisciplinary field of mathematical biology and medicine has firmly taken center stage as one of the major themes of modern applied mathematics, with strong links to the empirical biomedical sciences. New Perspectives in Mathematical Biology provides an overview of the distinct variety and diversity of current research in the field. In every chapter of this book, which covers themes ranging from cancer modeling to infectious diseases to orthopaedics and musculoskeletal tissue mechanics, there is clear evidence of the strong connections and interactions of mathematics with the biological and biomedical sciences that have spawned new models and novel insights. This book is loosely based on the plenary lectures delivered by some of the leading authorities on these subjects at the Society for Mathematical Biology (SMB) Conference that was held in Toronto in 2008 and will be of interest to graduate students, postdoctoral fellows, and researchers currently engaged in this field, bringing the reader to the forefront of current research.

Transactions of the Moscow Mathematical Society

Author: American Mathematical Society

Publisher: American Mathematical Soc.

ISBN: 9780821816165


Page: 373

View: 1651

Focuses on differential equations and differential operators. This title includes such topics as convolution equations of variable order, hypoelliptic pseudodifferential operators, differential operators that decompose into wave factors, and nonlinear parabolic equations.

Proceedings of the St. Petersburg Mathematical Society

Author: O. A. Ladyzhenskaya

Publisher: American Mathematical Soc.

ISBN: 9780821806135

Category: Mathematics

Page: 250

View: 9506

This volume is devoted to analysis, probablility and applications. It includes useful surveys by Pastur on random operators and their applications, Feldman on harmonic analysis and analogues of Levi-Khinchin formulas on abelian groups, and Kerov on application of representation theory of symmetric groups to classical analysis. Also featured are products of random operators, convolution of abelian groups, orthogonal polynomials, and semiordered Banach spaces.

Société Mathématique Suisse

Author: Bruno Colbois,Christine Riedtmann,Viktor Schroeder

Publisher: European Mathematical Society

ISBN: 9783037190890

Category: Mathematics

Page: 517

View: 6549

Evocation de l'initiative de Georges de Rham de se réunir dès 1958 dans les locaux de l'EPUL, à l'avenue de Cour en fin de volume mais également par la contribution de Srishti Chatterji and Manuel Ojanguren, A glimpse of the de Rham era (p. 195-240).

American Mathematical Society Translations

Author: N.A

Publisher: N.A

ISBN: 9780821831243

Category: Mathematical analysis

Page: 152

View: 7968

Translations of articles on mathematics appearing in various Russian mathematical serials.

Proceedings of the St. Petersburg Mathematical Society Volume III

Author: Ol_ga Aleksandrovna Ladyzhenskai_a

Publisher: American Mathematical Soc.

ISBN: 9780821895962

Category: Combinatorial optimization

Page: 225

View: 3260

Books in this series highlight some of the most interesting works presented at symposia sponsored by the St. Petersburg Mathematical Society. Aimed at researchers in number theory, field theory, and algebraic geometry, the present volume deals primarily with aspects of the theory of higher local fields and other types of complete discretely valuated fields. Most of the papers require background in local class field theory and algebraic $K$-theory; however, two of them, ``Unit Fractions'' and ``Collections of Multiple Sums'', would be accessible to undergraduates.

A Mathematical View of Our World

Author: Harold Parks,Gary Musser,Lynn Trimpe,Vikki Maurer,Roger Maurer

Publisher: Cengage Learning

ISBN: 0495010618

Category: Mathematics

Page: 1000

View: 8996

A MATHEMATICAL VIEW OF OUR WORLD helps students understand and harness the power of mathematics in their present studies and future careers. Designed for a liberal arts mathematics course that has a strong focus on applications, this student-friendly textbook helps students see the beauty and power of mathematics as it is applied to the world around them. Recognizing that quantitative literacy is essential in an increasing number of professional fields as well as in the daily decision-making and communication of informed citizens, the book develops students’ mathematical self-confidence and prepares them to use mathematics in the future. In writing the book, the authors endeavored to be faithful to the recommendations of such professional mathematics associations as the MAA, AMATYC, and NCTM. Overall, students will recognize the connections, patterns, and significance of the mathematics they study, and see that mathematics has a meaningful place in their lives. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

Sociocultural Research on Mathematics Education

An International Perspective

Author: Bill Atweh,Helen Forgasz,Ben Nebres

Publisher: Routledge

ISBN: 1135653119

Category: Education

Page: 480

View: 1891

This volume--the first to bring together research on sociocultural aspects of mathematics education--presents contemporary and international perspectives on social justice and equity issues that impact mathematics education. In particular, it highlights the importance of three interacting and powerful factors--gender, social, and cultural dimensions. Sociocultural Research on Mathematics Education: An International Perspective is distinguished in several ways: * It is research based. Chapters report on significant research projects; present a comprehensive and critical summary of the research findings; and offer a critical discussion of research methods and theoretical perspectives undertaken in the area. * It is future oriented, presenting recommendations for practice and policy and identifying areas for further research. * It deals with all aspects of formal and informal mathematics education and applications and all levels of formal schooling. As the context of mathematics education rapidly changes-- with an increased demand for mathematically literate citizenship; an increased awareness of issues of equity, inclusivity, and accountability; and increased efforts for globalization of curriculum development and research-- questions are being raised more than ever before about the problems of teaching and learning mathematics from a non-cognitive science perspective. This book contributes significantly to addressing such issues and answering such questions. It is especially relevant for researchers, graduate students, and policymakers in the field of mathematics education.

Mathematical Models for Society and Biology

Author: Edward Beltrami

Publisher: Academic Press

ISBN: 0124046932

Category: Social Science

Page: 288

View: 5836

Mathematical Models for Society and Biology, 2e, is a useful resource for researchers, graduate students, and post-docs in the applied mathematics and life science fields. Mathematical modeling is one of the major subfields of mathematical biology. A mathematical model may be used to help explain a system, to study the effects of different components, and to make predictions about behavior. Mathematical Models for Society and Biology, 2e, draws on current issues to engagingly relate how to use mathematics to gain insight into problems in biology and contemporary society. For this new edition, author Edward Beltrami uses mathematical models that are simple, transparent, and verifiable. Also new to this edition is an introduction to mathematical notions that every quantitative scientist in the biological and social sciences should know. Additionally, each chapter now includes a detailed discussion on how to formulate a reasonable model to gain insight into the specific question that has been introduced. Offers 40% more content – 5 new chapters in addition to revisions to existing chapters Accessible for quick self study as well as a resource for courses in molecular biology, biochemistry, embryology and cell biology, medicine, ecology and evolution, bio-mathematics, and applied math in general Features expanded appendices with an extensive list of references, solutions to selected exercises in the book, and further discussion of various mathematical methods introduced in the book

Representations of Groups

Canadian Mathematical Society Annual Seminar, June 15-24, 1994, Banff, Alberta, Canada

Author: Canadian Mathematical Society. Seminar,Bruce Normansell Allison,Gerald Howard Cliff,Canadian Mathematical Society

Publisher: American Mathematical Soc.

ISBN: 9780821803110

Category: Mathematics

Page: 385

View: 5129

Representations of Groups contains papers presented at the Canadian Mathematical Society Annual Seminar held in June 1994, in Banff, Alberta. The material addresses representations of Lie groups, algebraic groups, finite groups, and quantum groups and the relationships among these areas. With both survey and research articles, this book offers the latest results on various aspects of representation theory of groups.