Read Books Online and Download eBooks, EPub, PDF, Mobi, Kindle, Text Full Free.
Download The Role Of Mathematics In Science full books in PDF, epub, and Kindle. Read online The Role Of Mathematics In Science ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Author : M. M. Schiffer
Publisher :
ISBN 13 : 9780883856000
Total Pages : 207 pages
Book Rating : 4.8/5 (56 download)
Download or read book The Role of Mathematics in Science written by M. M. Schiffer and published by . This book was released on 1984 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Giovanni Boniolo
Publisher : Springer Science & Business Media
ISBN 13 : 1402031076
Total Pages : 246 pages
Book Rating : 4.4/5 (2 download)
Download or read book The Role of Mathematics in Physical Sciences written by Giovanni Boniolo and published by Springer Science & Business Media. This book was released on 2005-07-22 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: Even though mathematics and physics have been related for centuries and this relation appears to be unproblematic, there are many questions still open: Is mathematics really necessary for physics, or could physics exist without mathematics? Should we think physically and then add the mathematics apt to formalise our physical intuition, or should we think mathematically and then interpret physically the obtained results? Do we get mathematical objects by abstraction from real objects, or vice versa? Why is mathematics effective into physics? These are all relevant questions, whose answers are necessary to fully understand the status of physics, particularly of contemporary physics. The aim of this book is to offer plausible answers to such questions through both historical analyses of relevant cases, and philosophical analyses of the relations between mathematics and physics.
Author : M. M. Schiffer
Publisher : MAA Press
ISBN 13 :
Total Pages : 228 pages
Book Rating : 4.4/5 (91 download)
Download or read book The Role of Mathematics in Science written by M. M. Schiffer and published by MAA Press. This book was released on 1984 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: Illustrates the many ways in which mathematical methods have helped discovery in science. It is aimed at a group of readers who are interested in mathematics beyond the level of high school. The authors occasionally use some calculus and more intricate arguments. The book should appeal to college students and general readers with some background in mathematics.
Author : Ronald E Mickens
Publisher : World Scientific
ISBN 13 : 9814531928
Total Pages : 354 pages
Book Rating : 4.8/5 (145 download)
Download or read book Mathematics And Science written by Ronald E Mickens and published by World Scientific. This book was released on 1990-08-23 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this review volume is to present the opinions of a number of distinguished individuals who have given careful thought as to why mathematics is so “unreasonably effective” when applied to the analysis of the natural sciences.
Author : Salomon Bochner Trust
Publisher : Princeton University Press
ISBN 13 : 140085282X
Total Pages : 397 pages
Book Rating : 4.4/5 (8 download)
Download or read book Role of Mathematics in the Rise of Science written by Salomon Bochner Trust and published by Princeton University Press. This book was released on 2014-07-14 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: The central theme of these essays is the nature and role of mathematics, its growth and spread, and its involvement with ever-wider areas of knowledge. The author attempts to determine the decisive and creative aspects of the abstractness" of mathematics which have made it the dominant intellectual force that it is. He frequently confronts the mathematics and physics of today with the mathematics and physics of the Greeks, which, however renowned, was not yet capable of this abstractness. Originally published in 1966. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Author : Giovanni Boniolo
Publisher : Springer Science & Business Media
ISBN 13 : 9781402031069
Total Pages : 264 pages
Book Rating : 4.0/5 (31 download)
Download or read book The Role of Mathematics in Physical Sciences written by Giovanni Boniolo and published by Springer Science & Business Media. This book was released on 2005-03-10 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: Even though mathematics and physics have been related for centuries and this relation appears to be unproblematic, there are many questions still open: Is mathematics really necessary for physics, or could physics exist without mathematics? Should we think physically and then add the mathematics apt to formalise our physical intuition, or should we think mathematically and then interpret physically the obtained results? Do we get mathematical objects by abstraction from real objects, or vice versa? Why is mathematics effective into physics? These are all relevant questions, whose answers are necessary to fully understand the status of physics, particularly of contemporary physics. The aim of this book is to offer plausible answers to such questions through both historical analyses of relevant cases, and philosophical analyses of the relations between mathematics and physics.
Author : M. M. Schiffer
Publisher :
ISBN 13 : 9780883856000
Total Pages : 207 pages
Book Rating : 4.8/5 (56 download)
Download or read book The Role of Mathematics in Science written by M. M. Schiffer and published by . This book was released on 1984 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ann Renninger
Publisher :
ISBN 13 : 0935302425
Total Pages : 328 pages
Book Rating : 4.9/5 (353 download)
Download or read book Interest in Mathematics and Science Learning written by Ann Renninger and published by . This book was released on 2015-04-19 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: Interest in Mathematics and Science Learning, edited by K. Ann Renninger, Martin Nieswandt, and Suzanne Hidi, is the first volume to assemble findings on the role of interest in mathematics and science learning. As the contributors illuminate across the volume's 22 chapters, interest provides a critical bridge between cognition and affect in learning and development. This volume will be useful to educators, researchers, and policy makers, especially those whose focus is mathematics, science, and technology education.
Author : Christopher Pincock
Publisher : Oxford University Press
ISBN 13 : 0190208570
Total Pages : 352 pages
Book Rating : 4.1/5 (92 download)
Download or read book Mathematics and Scientific Representation written by Christopher Pincock and published by Oxford University Press. This book was released on 2012-01-13 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics plays a central role in much of contemporary science, but philosophers have struggled to understand what this role is or how significant it might be for mathematics and science. In this book Christopher Pincock tackles this perennial question in a new way by asking how mathematics contributes to the success of our best scientific representations. In the first part of the book this question is posed and sharpened using a proposal for how we can determine the content of a scientific representation. Several different sorts of contributions from mathematics are then articulated. Pincock argues that each contribution can be understood as broadly epistemic, so that what mathematics ultimately contributes to science is best connected with our scientific knowledge. In the second part of the book, Pincock critically evaluates alternative approaches to the role of mathematics in science. These include the potential benefits for scientific discovery and scientific explanation. A major focus of this part of the book is the indispensability argument for mathematical platonism. Using the results of part one, Pincock argues that this argument can at best support a weak form of realism about the truth-value of the statements of mathematics. The book concludes with a chapter on pure mathematics and the remaining options for making sense of its interpretation and epistemology. Thoroughly grounded in case studies drawn from scientific practice, this book aims to bring together current debates in both the philosophy of mathematics and the philosophy of science and to demonstrate the philosophical importance of applications of mathematics.
Author : Zvi Artstein
Publisher : Prometheus Books
ISBN 13 : 1616145463
Total Pages : 428 pages
Book Rating : 4.6/5 (161 download)
Download or read book Mathematics and the Real World written by Zvi Artstein and published by Prometheus Books. This book was released on 2014-09-02 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this accessible and illuminating study of how the science of mathematics developed, a veteran math researcher and educator looks at the ways in which our evolutionary makeup is both a help and a hindrance to the study of math. Artstein chronicles the discovery of important mathematical connections between mathematics and the real world from ancient times to the present. The author then describes some of the contemporary applications of mathematics—in probability theory, in the study of human behavior, and in combination with computers, which give mathematics unprecedented power. The author concludes with an insightful discussion of why mathematics, for most people, is so frustrating. He argues that the rigorous logical structure of math goes against the grain of our predisposed ways of thinking as shaped by evolution, presumably because the talent needed to cope with logical mathematics gave the human race as a whole no evolutionary advantage. With this in mind, he offers ways to overcome these innate impediments in the teaching of math.
Author : Carl L. DeVito
Publisher : Berghahn Books
ISBN 13 : 1782380701
Total Pages : 220 pages
Book Rating : 4.7/5 (823 download)
Download or read book Science, Seti, and Mathematics written by Carl L. DeVito and published by Berghahn Books. This book was released on 2013-11-01 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics is as much a part of our humanity as music and art. And it is our mathematics that might be understandable, even familiar, to a distant race and might provide the basis for mutual communication. This book discusses, in a conversational way, the role of mathematics in the search for extraterrestrial intelligence. The author explores the science behind that search, its history, and the many questions associated with it, including those regarding the nature of language and the philosophical/psychological motivation behind this search.
Author : Salomon Bochner
Publisher :
ISBN 13 :
Total Pages : 386 pages
Book Rating : 4.:/5 (64 download)
Download or read book The Role of Mathematics in the Rise of Science written by Salomon Bochner and published by . This book was released on 1981 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Patrick M. Jenlink
Publisher :
ISBN 13 : 9781648027451
Total Pages : 266 pages
Book Rating : 4.0/5 (274 download)
Download or read book Mathematics as the Science of Patterns written by Patrick M. Jenlink and published by . This book was released on 2022 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics as the Science of Patterns: Making the Invisible Visible to Students through Teaching introduces the reader to a collection of thoughtful, research-based works by authors that represent current thinking about mathematics, mathematics education, and the preparation of mathematics teachers. Each chapter focuses on mathematics teaching and the preparation of teachers who will enter classrooms to instruct the next generation of students in mathematics. The value of patterns to the teaching and learning of mathematics is well understood, both in terms of research and application. When we involve or appeal to pattern in teaching mathematics, it is usually because we are trying to help students to extract greater meaning, or enjoyment, or both, from the experience of learning environments within which they are occupied, and perhaps also to facilitate remembering. As a general skill it is thought that the ability to discern a pattern is a precursor to the ability to generalize and abstract, a skill essential in the early years of learning and beyond. Research indicates that the larger problem in teaching mathematics does not lie primarily with students; rather it is with the teachers themselves. In order to make changes for students there first needs to be a process of change for teachers. Understanding the place of patterns in learning mathematics is a predicate to understanding how to teach mathematics and how to use pedagogical reasoning necessary in teaching mathematics. Importantly, the lack of distinction created by the pedagogical use of patterns is not immediately problematic to the student or the teacher. The deep-seated cognitive patterns that both teachers and students bring to the classroom require change. Chapter 1 opens the book with a focus on mathematics as the science of patterns and the importance of patterns in mathematical problem solving, providing the reader with an introduction. The authors of Chapter 2 revisit the work of Pólya and the development and implementation of problem solving in mathematics. In Chapter 3, the authors present an argument for core pedagogical content knowledge in mathematics teacher preparation. The authors of Chapter 4 focus on preservice teachers' patterns of conception as related to understanding number and operation. In Chapter 5 the authors examine the role of visual representation in exploring proportional reasoning, denoting the importance of helping learners make their thinking visible. The authors of Chapter 6 examine patterns and relationships, and the importance of each in assisting students' learning and development in mathematical understanding. The authors of Chapter 7 examine the use of worked examples as a scalable practice, with emphasis on the importance of worked examples in teaching fraction magnitude and computation is discussed. In Chapter 8, the authors expand on the zone of proximal development to investigate the potential of Zankov's Lesson in terms of students analyzing numerical equalities. The authors of Chapter 9 focus on high leverage mathematical practices in elementary pre-service teacher preparation, drawing into specific relief the APEX cycle to develop deep thinking. In Chapter 10, the author focuses on number talks and the engagement of students in mathematical reasoning, which provides opportunities for students to be sensemakers of mathematics. Chapter 11 presents an epilogue, focusing on the importance of recognizing the special nature of mathematics knowledge for teaching.
Author : Laurinda Leite
Publisher : Nova Science Publishers
ISBN 13 : 9781536184853
Total Pages : 435 pages
Book Rating : 4.1/5 (848 download)
Download or read book Science and Mathematics Education for 21st Century Citizens written by Laurinda Leite and published by Nova Science Publishers. This book was released on 2020 with total page 435 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book addresses the challenges that face science and mathematics education if it is to be relevant to 21st century citizens, as well as the ways that outstanding specialists from several countries around the world think it should deal with those challenges. Starting with the issue of science and mathematics teacher education in a changing world, it moves on to deal with innovative approaches to teaching science and mathematics. It then discusses contemporary issues related to the role played by technology in science and mathematics education, the challenges of the STEM agenda, and ways of making science and mathematics education more inclusive. Finally, it focuses on assessment issues, as the success of science and mathematics education depends at least in part on the purposes for which, and ways in which, students' learning is assessed. There is a worldwide trend towards providing meaningful science and mathematics education to all children for the sake of literacy and numeracy development and a need to produce enough science and technology specialists. This trend and need, coupled with the concern raised by students' disengagement in these two knowledge areas and the role that technology may play in countering it, put increasingly high demands on teachers. As shown in this book, science and mathematics education may offer a unique contribution in developing responsible citizens by fostering skills required in order to assume wider responsibilities and roles, focusing on personal, social and environmental dimensions. For instance, it offers unique insights into how teachers can build on students' complicated and interconnected real-worlds to help them learn authentic and relevant science and mathematics. Additionally, the book highlights potential positive relationships between science and mathematics, which are often envisaged as having a conflicting relationship in school curricula. By uncovering the similarities between them, and by providing evidence that both areas deal with issues that are relevant for citizens' daily lives, the book explores ways of linking and giving coherence to science and mathematics knowledge as components of everyday life settings. It also provides directions for future research on the educational potential of interconnecting science and mathematics at the different educational levels. Therefore, this is a worthwhile book for researchers, teacher educators and schoolteachers. It covers theoretical perspectives, research-based approaches and practical applications that may make a difference in education that is relevant and inclusive for citizens in the 21st century"--
Author : Claus Michelsen
Publisher : Springer Nature
ISBN 13 : 3031105184
Total Pages : 560 pages
Book Rating : 4.0/5 (311 download)
Download or read book Mathematics and Its Connections to the Arts and Sciences (MACAS) written by Claus Michelsen and published by Springer Nature. This book was released on 2022-12-19 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book celebrates the 15th anniversary of the bi-annual symposium series Mathematics and its Connections to the Arts and Sciences (MACAS), which was first held in 2005 following the continued collaboration of an international group of researchers from ICME Topic Study Group 21. The MACAS-conferences bring together scientists and educators who are interested in the connection between mathematics, arts and science in educational curriculum, while emphasizing on, as well as researching about, the role of mathematics. By pooling together these different approaches and viewpoints between mathematics, arts and sciences, this book reveals possible synergies and paths for collaborations. In view of the challenges of the 21st century, a modern approach to education with a focus on multi- and interdisciplinarity is more important than ever. The role of mathematics assumes a key role in this approach as it is connected to all other disciplines, such as STEM education, physics, chemistry, biology, aesthetics and language, and can serve as a bridge between them. This book discusses, amongst others, the curricular approaches to integrate mathematics and other disciplines, the importance of mathematical modelling and the interdisciplinarity ways for learning and studying of mathematics, as well as the intercultural dimensions of mathematics and mathematics in the digital era. All topics will be presented from very different perspectives and regarding very different contexts, including digitization, culture and sustainability. This unique collection will serve as a very valuable and compact source for all above mentioned scientists and educators, as well as for use in advanced teacher education courses.
Author : Ian Stewart
Publisher : Basic Books
ISBN 13 : 0465024408
Total Pages : 370 pages
Book Rating : 4.4/5 (65 download)
Download or read book The Mathematics of Life written by Ian Stewart and published by Basic Books. This book was released on 2011-06-07 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: Biologists have long dismissed mathematics as being unable to meaningfully contribute to our understanding of living beings. Within the past ten years, however, mathematicians have proven that they hold the key to unlocking the mysteries of our world -- and ourselves. In The Mathematics of Life, Ian Stewart provides a fascinating overview of the vital but little-recognized role mathematics has played in pulling back the curtain on the hidden complexities of the natural world -- and how its contribution will be even more vital in the years ahead. In his characteristically clear and entertaining fashion, Stewart explains how mathematicians and biologists have come to work together on some of the most difficult scientific problems that the human race has ever tackled, including the nature and origin of life itself.
Author : Francis Bailly
Publisher : World Scientific
ISBN 13 : 1848166931
Total Pages : 337 pages
Book Rating : 4.8/5 (481 download)
Download or read book Mathematics and the Natural Sciences written by Francis Bailly and published by World Scientific. This book was released on 2011 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book aims at the identification of the organising concepts of some physical and biological phenomena, by means of an analysis of the foundations of mathematics and of physics. This is done in the perspective of unifying phenomena, of bringing different conceptual universes into dialog. The analysis of the role of “order” and of symmetries in the foundations of mathematics is linked to the main invariants and principles, among which the geodesic principle (a consequence of symmetries), which govern and confer unity to the various physical theories. Moreover, we attempt to understand causal structures, a central element of physical intelligibility, in terms of symmetries and their breakings. The importance of the mathematical tool is also highlighted, enabling us to grasp the differences in the models for physics and biology which are proposed by continuous and discrete mathematics, such as computational simulations. A distinction between principles of (conceptual) construction and principles of proofs, both in physics and in mathematics, guides this part of the work.As for biology, being particularly difficult and not as thoroughly examined at a theoretical level, we propose a “unification by concepts”, an attempt which should always precede mathematisation. This constitutes an outline for unification also basing itself upon the highlighting of conceptual differences, of complex points of passage, of technical irreducibilities of one field to another. Indeed, a monist point of view such as ours should not make us blind: we, the living objects, are surely just big bags of molecules or, at least, this is our main metaphysical assumption. The point though is: which theory can help us to better understand these bags of molecules, as they are, indeed, rather “singular”, from the physical point of view. Technically, this singularity is expressed by the notion of “extended criticality”, a notion that logically extends the pointwise critical transitions in physics.
