Ein Forderkonzept Zu Mathematischem Grundwissen Und Grundkonnen Am Ubergang In Die Sekundarstufe Ii

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Some Problems of Unlikely Intersections in Arithmetic and Geometry

Author : Umberto Zannier
Publisher : Princeton University Press
ISBN 13 : 1400842719
Total Pages : 175 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Some Problems of Unlikely Intersections in Arithmetic and Geometry by : Umberto Zannier

Download or read book Some Problems of Unlikely Intersections in Arithmetic and Geometry written by Umberto Zannier and published by Princeton University Press. This book was released on 2012-03-25 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book considers the so-called Unlikely Intersections, a topic that embraces well-known issues, such as Lang's and Manin-Mumford's, concerning torsion points in subvarieties of tori or abelian varieties. More generally, the book considers algebraic subgroups that meet a given subvariety in a set of unlikely dimension. The book is an expansion of the Hermann Weyl Lectures delivered by Umberto Zannier at the Institute for Advanced Study in Princeton in May 2010. The book consists of four chapters and seven brief appendixes, the last six by David Masser. The first chapter considers multiplicative algebraic groups, presenting proofs of several developments, ranging from the origins to recent results, and discussing many applications and relations with other contexts. The second chapter considers an analogue in arithmetic and several applications of this. The third chapter introduces a new method for approaching some of these questions, and presents a detailed application of this (by Masser and the author) to a relative case of the Manin-Mumford issue. The fourth chapter focuses on the André-Oort conjecture (outlining work by Pila).

Reusing Online Resources

Author : Allison Littlejohn
Publisher : Psychology Press
ISBN 13 : 9780749439507
Total Pages : 278 pages
Book Rating : 4.4/5 (395 download)

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Book Synopsis Reusing Online Resources by : Allison Littlejohn

Download or read book Reusing Online Resources written by Allison Littlejohn and published by Psychology Press. This book was released on 2003 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique book outlines approaches to sharing and reusing resources for sustainable e-learning.

Non-commutative Gelfand Theories

Author : Steffen Roch
Publisher : Springer Science & Business Media
ISBN 13 : 0857291831
Total Pages : 388 pages
Book Rating : 4.8/5 (572 download)

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Book Synopsis Non-commutative Gelfand Theories by : Steffen Roch

Download or read book Non-commutative Gelfand Theories written by Steffen Roch and published by Springer Science & Business Media. This book was released on 2010-11-19 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written as a hybrid between a research monograph and a textbook the first half of this book is concerned with basic concepts for the study of Banach algebras that, in a sense, are not too far from being commutative. Essentially, the algebra under consideration either has a sufficiently large center or is subject to a higher order commutator property (an algebra with a so-called polynomial identity or in short: Pl-algebra). In the second half of the book, a number of selected examples are used to demonstrate how this theory can be successfully applied to problems in operator theory and numerical analysis. Distinguished by the consequent use of local principles (non-commutative Gelfand theories), PI-algebras, Mellin techniques and limit operator techniques, each one of the applications presented in chapters 4, 5 and 6 forms a theory that is up to modern standards and interesting in its own right. Written in a way that can be worked through by the reader with fundamental knowledge of analysis, functional analysis and algebra, this book will be accessible to 4th year students of mathematics or physics whilst also being of interest to researchers in the areas of operator theory, numerical analysis, and the general theory of Banach algebras.

Around the Zilber-Pink Conjecture

Author : Philipp Habegger
Publisher :
ISBN 13 : 9782856298565
Total Pages : 0 pages
Book Rating : 4.2/5 (985 download)

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Book Synopsis Around the Zilber-Pink Conjecture by : Philipp Habegger

Download or read book Around the Zilber-Pink Conjecture written by Philipp Habegger and published by . This book was released on 2017 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Following Faltings and Vojta's work proving the Mordell-Lang conjecture for abelian varieties and Raynaud's work proving the Manin-Mumford conjecture, many new diophantine questions appeared, often described as problems of unlikely intersections. The arithmetic of moduli spaces of abelian varieties and, more generally, Shimura varieties has been parallel-developed around the central André-Oort conjecture. These two themes can be placed in a common frame--the Zilber-Pink conjecture. This volume is an introduction to these problems and to the various techniques used: geometry, height theory, reductive groups and Hodge theory, Shimura varieties, and model theory via the notion of o-minimal structure."--Publisher.

Opening Up Education

Author : Toru Iiyoshi
Publisher : MIT Press
ISBN 13 : 0262033712
Total Pages : 501 pages
Book Rating : 4.2/5 (62 download)

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Book Synopsis Opening Up Education by : Toru Iiyoshi

Download or read book Opening Up Education written by Toru Iiyoshi and published by MIT Press. This book was released on 2008 with total page 501 pages. Available in PDF, EPUB and Kindle. Book excerpt: Online version of MIT Press book has brief overview of book's content and provides links to open access PDF version of ebook, as well as an iPaper version and a link to the MIT Press store for buying the print version. In this collection of essays the authors who are leaders in open education, explore the potential of open education to transform the economics and ecology of education. The authors argue that we must develop not only the technical capability but also the intellectual capacity for transforming tacit pedagogical knowledge into commonly usable and visible knowledge by providing incentives for faculty to use (and contribute to) open education goods, and by looking beyond institutional boundaries to connect a variety of settings and open source entrepreneurs.

The Navier-Stokes Equations

Author : Hermann Sohr
Publisher : Springer Science & Business Media
ISBN 13 : 3034805519
Total Pages : 376 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis The Navier-Stokes Equations by : Hermann Sohr

Download or read book The Navier-Stokes Equations written by Hermann Sohr and published by Springer Science & Business Media. This book was released on 2012-12-13 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: The primary objective of this monograph is to develop an elementary and se- containedapproachtothemathematicaltheoryofaviscousincompressible?uid n in a domain ? of the Euclidean spaceR , described by the equations of Navier- Stokes. The book is mainly directed to students familiar with basic functional analytic tools in Hilbert and Banach spaces. However, for readers’ convenience, in the ?rst two chapters we collect, without proof some fundamental properties of Sobolev spaces, distributions, operators, etc. Another important objective is to formulate the theory for a completely general domain ?. In particular, the theory applies to arbitrary unbounded, non-smooth domains. For this reason, in the nonlinear case, we have to restrict ourselves to space dimensions n=2,3 that are also most signi?cant from the physical point of view. For mathematical generality, we will develop the l- earized theory for all n? 2. Although the functional-analytic approach developed here is, in principle, known to specialists, its systematic treatment is not available, and even the diverseaspectsavailablearespreadoutintheliterature.However,theliterature is very wide, and I did not even try to include a full list of related papers, also because this could be confusing for the student. In this regard, I would like to apologize for not quoting all the works that, directly or indirectly, have inspired this monograph.

Learning Design

Author : Rob Koper
Publisher : Springer Science & Business Media
ISBN 13 : 3540273603
Total Pages : 425 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Learning Design by : Rob Koper

Download or read book Learning Design written by Rob Koper and published by Springer Science & Business Media. This book was released on 2005-12-28 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: E-learning is still in its infancy. This can be seen both in the limited pedagogical quality and lack of portability of e-learning content, and in the lack of user-friendly tools to exploit the opportunities offered by current technologies. To be successful, e-learning must offer effective and attractive courses and programmes to learners, while at the same time providing a pleasant and effective work environment for staff members who have the task to develop course materials, plan the learning processes, provide tutoring, and assess performance. To overcome these deficiencies, the IMS Global Learning Consortium Inc. released the Learning Design Specification in 2003. With Learning Design it is possible to develop and present advanced, interoperable e-learning courses embracing educational role and game playing methods, problem-based learning, learning community approaches, adaptivity and peer coaching and assessment methods. In this handbook Koper and Tattersall have put together contributions from members of the "Valkenburg Group", consisting of 33 experts deeply involved in e-learning and more specifically learning design. The result is a rich and lasting source of information for both e-learning course and tool developers, providing information about the specification itself, how to implement it in practice, what tools to use, and what pitfalls to avoid. The book not only reports first experiences, but also goes beyond the current state of the art by looking at future prospects and emerging applications.

Operator Algebras and Mathematical Physics

Author : Masaki Izumi
Publisher : Advanced Studies in Pure Mathe
ISBN 13 : 9784864970792
Total Pages : 0 pages
Book Rating : 4.9/5 (77 download)

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Book Synopsis Operator Algebras and Mathematical Physics by : Masaki Izumi

Download or read book Operator Algebras and Mathematical Physics written by Masaki Izumi and published by Advanced Studies in Pure Mathe. This book was released on 2019 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a proceedings volume of an international conference 'Operator Algebras and Mathematical Physics' held at Tohoku University in August, 2016. This meeting was the 9th MSJ-Seasonal Institute of the Mathematical Society of Japan. Twenty-eight researchers gave lectures on a wide range of topics on operator algebras and their applications to mathematical physics. This volume contains one survey article and 11 research articles based on the lectures given. We recommend this to researchers and graduate students in related fields strongly.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North America

Open Educational Practices and Resources

Author : Guntram Geser
Publisher :
ISBN 13 : 9783902448088
Total Pages : 149 pages
Book Rating : 4.4/5 (48 download)

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Book Synopsis Open Educational Practices and Resources by : Guntram Geser

Download or read book Open Educational Practices and Resources written by Guntram Geser and published by . This book was released on 2007 with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt: