Aspects Of Mathematics
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Aspects Of Mathematical Modelling
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Author : Roger J. Hosking
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-03-02
Aspects Of Mathematical Modelling written by Roger J. Hosking and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-03-02 with Mathematics categories.
The construction of mathematical models is an essential scientific activity. Mathematics is associated with developments in science and engineering, but more recently mathematical modelling has been used to investigate complex systems that arise in other fields. This book demonstrates the application of mathematics to research topics in ecology and environmental science, health and medicine, phylogenetics and neural networks, theoretical chemistry, economics and management.
Aspects Of Teaching Secondary Mathematics
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Author : Linda Haggarty
language : en
Publisher: Routledge
Release Date : 2003-09-02
Aspects Of Teaching Secondary Mathematics written by Linda Haggarty and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-09-02 with Education categories.
If learners in the classroom are to be excited by mathematics, teachers need to be both well informed about current initiatives and able to see how what is expected of them can be translated into rich and stimulating classroom strategies. The book examines current initiatives that affect teaching mathematics and identifies pointers for action in the classroom. Divided into three major sections, it looks at: the changing mathematics classroom at primary, secondary and tertiary level major components of the secondary curriculum practical pedagogical issues of particular concern to mathematics teachers. Each issue is explores in terms of major underpinnings and research in that area, and practical ideas can be drawn from the text and implemented in the reader's classroom practice. Each chapter has been written by a well-respected writer, researcher and practitioner in their field and all share a common goal: to look thoughtfully and intelligently at some of the practical issues facing mathematics teachers and offer their perspectives on those issues.
Education For Mathematics In The Workplace
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Author : A. Bessot
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-04-11
Education For Mathematics In The Workplace written by A. Bessot and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-04-11 with Education categories.
This timely volume raises issues concerning the nature of school mathematics and mathematics at work, and the challenges of teaching valuable mathematics in school and providing appropriate training for a variety of careers. It offers lively commentaries on important `hot' topics: transferring knowledge and skill across contexts; ‘authentic mathematics’; comparability of different types of assessment; and analyses of research methods.
Lectures On Algebraic Geometry Ii
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Author : Günter Harder
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-04-21
Lectures On Algebraic Geometry Ii written by Günter Harder and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-04-21 with Mathematics categories.
This second volume introduces the concept of shemes, reviews some commutative algebra and introduces projective schemes. The finiteness theorem for coherent sheaves is proved, here again the techniques of homological algebra and sheaf cohomology are needed. In the last two chapters, projective curves over an arbitrary ground field are discussed, the theory of Jacobians is developed, and the existence of the Picard scheme is proved. Finally, the author gives some outlook into further developments- for instance étale cohomology- and states some fundamental theorems.
The Riemann Hilbert Problem
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Author : D. V. Anosov
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
The Riemann Hilbert Problem written by D. V. Anosov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Mathematics categories.
This book is devoted to Hilbert's 21st problem (the Riemann-Hilbert problem) which belongs to the theory of linear systems of ordinary differential equations in the complex domain. The problem concems the existence of a Fuchsian system with prescribed singularities and monodromy. Hilbert was convinced that such a system always exists. However, this tumed out to be a rare case of a wrong forecast made by hirn. In 1989 the second author (A.B.) discovered a counterexample, thus 1 obtaining a negative solution to Hilbert's 21st problem. After we recognized that some "data" (singularities and monodromy) can be obtai ned from a Fuchsian system and some others cannot, we are enforced to change our point of view. To make the terminology more precise, we shaII caII the foIIowing problem the Riemann-Hilbert problem for such and such data: does there exist a Fuchsian system having these singularities and monodromy? The contemporary version of the 21 st Hilbert problem is to find conditions implying a positive or negative solution to the Riemann-Hilbert problem.
Concepts Of Modern Mathematics
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Author : Ian Stewart
language : en
Publisher: Courier Corporation
Release Date : 2012-05-23
Concepts Of Modern Mathematics written by Ian Stewart and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-05-23 with Mathematics categories.
In this charming volume, a noted English mathematician uses humor and anecdote to illuminate the concepts of groups, sets, subsets, topology, Boolean algebra, and other mathematical subjects. 200 illustrations.
From Gauss To Painlev
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Author : Katsunori Iwasaki
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
From Gauss To Painlev written by Katsunori Iwasaki and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Technology & Engineering categories.
Preface The Gamma function, the zeta function, the theta function, the hyper geometric function, the Bessel function, the Hermite function and the Airy function, . . . are instances of what one calls special functions. These have been studied in great detail. Each of them is brought to light at the right epoch according to both mathematicians and physicists. Note that except for the first three, each of these functions is a solution of a linear ordinary differential equation with rational coefficients which has the same name as the functions. For example, the Bessel equation is the simplest non-trivial linear ordinary differential equation with an irreg ular singularity which leads to the theory of asymptotic expansion, and the Bessel function is used to describe the motion of planets (Kepler's equation). Many specialists believe that during the 21st century the Painleve functions will become new members of the community of special func tions. For any case, mathematics and physics nowadays already need these functions. The corresponding differential equations are non-linear ordinary differential equations found by P. Painleve in 1900 fqr purely mathematical reasons. It was only 70 years later that they were used in physics in order to describe the correlation function of the two dimen sional Ising model. During the last 15 years, more and more people have become interested in these equations, and nice algebraic, geometric and analytic properties were found.
Amazing And Aesthetic Aspects Of Analysis
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Author : Paul Loya
language : en
Publisher: Springer
Release Date : 2018-05-11
Amazing And Aesthetic Aspects Of Analysis written by Paul Loya and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-11 with Mathematics categories.
Lively prose and imaginative exercises draw the reader into this unique introductory real analysis textbook. Motivating the fundamental ideas and theorems that underpin real analysis with historical remarks and well-chosen quotes, the author shares his enthusiasm for the subject throughout. A student reading this book is invited not only to acquire proficiency in the fundamentals of analysis, but to develop an appreciation for abstraction and the language of its expression. In studying this book, students will encounter: the interconnections between set theory and mathematical statements and proofs; the fundamental axioms of the natural, integer, and real numbers; rigorous ε-N and ε-δ definitions; convergence and properties of an infinite series, product, or continued fraction; series, product, and continued fraction formulæ for the various elementary functions and constants. Instructors will appreciate this engaging perspective, showcasing the beauty of these fundamental results.
Mathematical Aspects Of String Theory
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Author : Shing-Tung Yau
language : en
Publisher: World Scientific Publishing Company Incorporated
Release Date : 1987
Mathematical Aspects Of String Theory written by Shing-Tung Yau and has been published by World Scientific Publishing Company Incorporated this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Science categories.
Views And Beliefs In Mathematics Education
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Author : Carola Bernack-Schüler
language : en
Publisher: Springer
Release Date : 2015-05-05
Views And Beliefs In Mathematics Education written by Carola Bernack-Schüler and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-05-05 with Education categories.
International mathematics education researchers give a differentiated overview of views and beliefs of both teachers and students. Beliefs about how to teach mathematics have a high impact on the instructional practice of teachers. In the same way, views and beliefs about mathematics are an essential factor to explain achievement and performance of students. The 19th MAVI conference added a variety of research perspectives to the international discussions of mathematics related beliefs. The authors of this volume have compiled a rich selection of research results, which may further enhance the discussion of MAVI topics in the future.