1.

Record Nr.

UNINA9910146416803321

Autore

Jungel Ansgar <1966->

Titolo

Transport equations for semiconductors / / A. Jungel

Pubbl/distr/stampa

Berlin, : Springer, c2009

ISBN

9783540895268

3540895264

Edizione

[1st ed. 2009.]

Descrizione fisica

1 online resource (XVII, 315 p. 27 illus.)

Collana

Lecture notes in physics ; ; 773

Disciplina

537.622

Soggetti

Semiconductors - Mathematical models

Electron transport - Mathematical models

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

Basic Semiconductor Physics -- Microscopic Semi-Classical Models -- Derivation of Macroscopic Equations -- Collisionless Models -- Scattering Models -- Macroscopic Semi-Classical Models -- Drift-Diffusion Equations -- Energy-Transport Equations -- Spherical Harmonics Expansion Equations -- Diffusive Higher-Order Moment Equations -- Hydrodynamic Equations -- Microscopic Quantum Models -- The Schr#x00F6;dinger Equation -- The Wigner Equation -- Macroscopic Quantum Models -- Quantum Drift-Diffusion Equations -- Quantum Diffusive Higher-Order Moment Equations -- Quantum Hydrodynamic Equations.

Sommario/riassunto

Semiconductor devices are ubiquitous in the modern computer and telecommunications industry. A precise knowledge of the transport equations for electron flow in semiconductors when a voltage is applied is therefore of paramount importance for further technological breakthroughs. In the present work, the author tackles their derivation in a systematic and rigorous way, depending on certain key parameters such as the number of free electrons in the device, the mean free path of the carriers, the device dimensions and the ambient temperature. Accordingly a hierarchy of models is examined which is reflected in the structure of the book: first the microscopic and macroscopic semi-classical approaches followed by their quantum-mechanical counterparts.



2.

Record Nr.

UNINA9910254980003321

Autore

Barwell Richard <1969->

Titolo

Mathematics Education and Language Diversity : The 21st ICMI Study / / edited by Richard Barwell, Philip Clarkson, Anjum Halai, Mercy Kazima, Judit Moschkovich, Núria Planas, Mamokgethi Setati-Phakeng, Paola Valero, Martha Villavicencio Ubillús

Pubbl/distr/stampa

Springer Nature, 2016

Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016

ISBN

9783319145112

3319145118

Edizione

[1st ed. 2016.]

Descrizione fisica

1 online resource (321 pages)

Collana

New ICMI Study Series, , 2215-1745

Disciplina

510.71

Soggetti

Mathematics - Study and teaching

Learning, Psychology of

Mathematics Education

Instructional Psychology

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references at the end of each chapters and index.

Nota di contenuto

Introduction -- Challenges and opportunities for second language learners in undergraduate mathematics -- Mathematics in the hands of deaf learners and blind learners: visual-gestural-somatic means of doing and expressing -- Challenging deficit perspectives: student agency in multilingual mathematics classrooms -- Language diversity in mathematics teacher education: challenges across three countries -- Impact of differing grammatical structures in mathematics teaching and learning -- Addressing multi-language diversity in mathematics teacher education programs -- Language diversity and new media: issues of multimodality and performance -- Making use of multiple (non-shared) first languages: state and need of research and development in the European language context -- Purposefully relating multilingual registers - building theory and teaching strategies for bilingual learners based on an integration of three traditions -- Trends in mathematics education in multilingual contexts for indigenous



population: experiences from Latin America -- Tensions in teaching mathematics in contexts of language diversity -- Research rationalities and the construction of the deficient multilingual mathematics learner -- Language diversity in research and its consequences -- Using ICTs to facilitate multilingual mathematics teaching and learning -- Mathematics teaching, language policy and the political role of language: perspectives from around the world -- Reflections -- Index.

Sommario/riassunto

This book examines multiple facets of language diversity and mathematics education. It features renowned authors from around the world and explores the learning and teaching of mathematics in contexts that include multilingual classrooms, indigenous education, teacher education, blind and deaf learners, new media and tertiary education. Each chapter draws on research from two or more countries to illustrate important research findings, theoretical developments and practical strategies. .