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Numerische Strömungssimulation in der Hydrodynamik
by Helmut MartinDer Band liefert eine Einführung in die numerische Strömungssimulation im Bau- und Wasserwesen. Nach einem Überblick über die Methoden werden in Teil 1 Grundlagen und Grundgleichungen der Strömungsmechanik formuliert. In Teil 2 werden ausgewählte Methoden wie die Finite-Element-Methode, das Galerkin-Verfahren, die Finite-Volumen- und Finite-Element-Methode anhand von Beispielen aus der Hydrodynamik erläutert. Vier Programme, mit denen Beispiele im Buch bearbeitet werden können, stehen Lesern unter http://extras.springer.com zur Verfügung.
Numerische technische Optimierung: Anwendung des Computeralgebrasystems Maxima
by Andreas Öchsner Resam MakvandiDiese Studienhilfe zu numerischen Optimierungsverfahren richtet sich an Studierende des Maschinenbaus im Grundstudium und im Hauptstudium. Optimierungsverfahren gewinnen zunehmend an Bedeutung für den Leichtbau, wo eine Gewichtsreduzierung z.B. im Automobilbau oder in der Luft- und Raumfahrtindustrie zu einem geringeren Kraftstoffverbrauch und einer entsprechenden Senkung der Betriebskosten sowie zu positiven Auswirkungen auf die Umwelt führen kann. Basierend auf dem freien Computeralgebrasystem Maxima stellen die Autoren Verfahren zur numerischen Lösung ingenieurmathematischer Probleme sowie Anwendungen aus traditionellen Lehrveranstaltungen zur Festigkeit von Werkstoffen vor. Die mechanischen Theorien konzentrieren sich auf die typischen eindimensionalen Strukturelemente, d.h. Federn, Stäbe und Euler-Bernoulli-Balken, um die Komplexität des numerischen Rahmens zu reduzieren und den resultierenden Entwurf auf eine geringe Anzahl von Variablen zu beschränken. Die Verwendung eines Computeralgebrasystems und der darin enthaltenen Funktionen, z. B. für Ableitungen oder Gleichungslösungen, ermöglicht eine stärkere Konzentration auf die Methodik der Optimierungsverfahren und nicht auf Standardverfahren.Das Buch enthält auch zahlreiche Beispiele, darunter einige, die mit Hilfe eines grafischen Ansatzes gelöst werden können, um dem Leser ein besseres Verständnis der Computerimplementierung zu vermitteln.
Numerology for Baby Names
by Phyllis VegaWhat's in a name? In the fascinating terms of numerology--everything! Parents can now add a touch of magic to their search for the perfect, most meaningful name with this unique guide. Numerology asserts that all words, including our own names, have numeric equivalents which reveal fascinating information about who we are--and where we're headed. More than a word history book, this volume adds the wonder of discovery to the exciting process of selecting a name. From the Paperback edition.
Nutrigenomics and the Brain (Nutritional Neurosciences)
by Mohamed SalamaDr. Mohammed Salama is Atlantic senior fellow for Equity in brain health at the Global Brain Health Institute (GBHI) and Associate professor at the Institute of Global Health and Human Ecology at the American University in Cairo (AUC). He established the first Translational Neuroscience Unit in Egypt. Mohamed’s collaborative research led to establishing the Egyptian Network for Neurodegenerative Disorders Mohamed was selected as a SOT Global Senior Scholar in 2013 and Translational/bridging awardee in 2016. He was awarded by Parkinson’s and Movement Disorders Foundation (PMDF) for his continued research in neurodegeneration. Recently, Mohamed and his colleagues succeeded in drafting the first Reference Egyptian Genome and collaborating with other colleagues to start a national cohort (A Longitudinal Study of Egyptian Health Aging [AL-SEHA]).
Néron Models and Base Change
by Lars Halvard Halle Johannes NicaisePresentingthe first systematic treatment of the behavior of Néron models under ramifiedbase change, this book can be read as an introduction to various subtleinvariants and constructions related to Néron models of semi-abelian varieties,motivated by concrete research problems and complemented with explicitexamples. Néron models of abelian andsemi-abelian varieties have become an indispensable tool in algebraic andarithmetic geometry since Néron introduced them in his seminal 1964 paper. Applications range from the theory of heights in Diophantine geometry to Hodgetheory. We focus specifically on Néron component groups, Edixhoven's filtrationand the base change conductor of Chai and Yu, and we study these invariantsusing various techniques such as models of curves, sheaves on Grothendiecksites and non-archimedean uniformization. We then apply our results to thestudy of motivic zeta functions of abelian varieties. The final chaptercontains a list of challenging open questions. This book is aimed towardsresearchers with a background in algebraic and arithmetic geometry.
Números (Math Counts, New and Updated)
by Henry PluckroseUna serie de libros para introducir a los lectores jovenes a conceptos matematicos fundamentales, ¡ahora en espanol!Estamos rodeados de numeros. Hay numeros en las casas y en los autos. Hay numeros en los telefonos y en el dinero. Con ejemplos del mundo real, fotografias convincentes y textos inspiradores, ¡esta es la introduccion perfecta al concepto matematico de "numeros" para los lectores mas jovenes!Sobre la serie: Publicada originalmente en los anos 90 y actualizada recientemente, esta revolucionaria serie superventas inicia a los ninos en el camino de aprender a comunicarse y razonar matematicamente.La base de las matematicas son las ideas, y estos libros se han desarrollado para que los ninos vean, hablen, toquen y experimenten con estas ideas. Las fotografias atractivas y el texto sencillo y directo, hacen de esta serie una herramienta perfecta para leer individualmente o en voz alta. Diez conceptos matematicos fundamentales, uno para cada libro de la serie, estan desarrollados de forma excelente, y ofrecen un apoyo curricular ideal. Esta serie es la mejor manera de iniciar el camino hacia el dominio de las matematicas.
Nützliche und schöne Geometrie: Eine etwas andere Einführung in die Euklidische Geometrie
by Wolfgang ZeugeDieses Lehrbuch ist eine wertvolle Ergänzung zu den klassischen, in der Schule gelehrten Inhalten der Geometrie und möchte die Freude am Umgang mit Geometrie wecken. Es wählt einen anschaulichen Zugang und ist daher besonders für alle diejenigen geeignet, die sich aus Interesse mit Geometrie beschäftigen wollen oder als Lehrkraft neue und unkonventionelle Ideen für Unterricht oder Seminare suchen. Das Buch kann als Grundlage für Leistungskurse, Arbeitsgemeinschaften oder Wahlpflichtkurse dienen, wobei man sich auf das in der zur Verfügung stehenden Zeit sinnvoll Machbare beschränken sollte. Auch für den Übergang von Schule zu Hochschule ist es gut geeignet, insbesondere für Lehramtsstudierende. Der Einstieg ins Buch ist bewusst sehr niedrigschwellig: Vieles aus dem ersten Teil des Buches wird, je nach den individuellen Vorkenntnissen, schon bekannt sein. Es wird hier allerdings aus anderer Perspektive betrachtet als es in der Schule (insbesondere in der Mittelstufe) üblich ist und und bringt somit einen nützlichen Mehrwert.Für die 2. Auflage wurde das Buch korrigiert und um einige Inhalte ergänzt. Neu sind außerdem Übungsaufgaben, sowie am Ende des Buchs ein Kapitel mit den dazugehörigen Lösungen.
O-Minimality and Diophantine Geometry
by G. O. Jones A. J. WilkieThis collection of articles, originating from a short course held at the University of Manchester, explores the ideas behind Pila's proof of the Andre-Oort conjecture for products of modular curves. The basic strategy has three main ingredients: the Pila-Wilkie theorem, bounds on Galois orbits, and functional transcendence results. All of these topics are covered in this volume, making it ideal for researchers wishing to keep up to date with the latest developments in the field. Original papers are combined with background articles in both the number theoretic and model theoretic aspects of the subject. These include Martin Orr's survey of abelian varieties, Christopher Daw's introduction to Shimura varieties, and Jacob Tsimerman's proof via o-minimality of Ax's theorem on the functional case of Schanuel's conjecture.
OCR A Level Further Mathematics Core Year 2
by Ben Sparks Claire BaldwinExam Board: OCRLevel: A-levelSubject: MathematicsFirst Teaching: September 2017First Exam: June 2018An OCR endorsed textbookGrow your students' confidence in applying mathematical techniques to solving problems with resources developed specifically for the OCR specification subject experts and in conjunction with MEI (Mathematics in Education and Industry).- Develop reasoning and problem-solving skills with practice questions and differentiated exercises that build mathematical techniques.- Help students to overcome misconceptions and develop insight into problem-solving with annotated worked examples.- Build connections between topics with points of interest and things to notice such as links to real world examples and noticing patterns in the mathematics.- Enhance individual understanding with discussion points designed for the classroom.- Consolidate understanding with end of chapter summaries of the key points.- Provide clear paths of progression that combine pure and applied maths into a coherent whole.- Reinforce Year 1 content with short review chapters - Year 2 only
OCR A Level Further Mathematics Discrete
by Nick GeereStudent eTextbooks are downloadable versions of the printed textbook, purchased on a copy-by-copy basis and allocated to students through Dynamic Learning. Our Student eTextbooks link seamlessly with MEI Integral Further Mathematics online resources, allowing you to move with ease between corresponding topics in the eTextbooks and Integral.Integral has been developed by MEI and supports teachers and students with high quality teaching and learning activities, including dynamic resources and self-marking tests and assessments that cover the new specifications.To have full access to the eTextbooks and Integral resources you must be subscribed to both Dynamic Learning and Integral. To subscribe to Integral, visit www.integralmaths.org. For more information on our eTextbooks and Integral please see the Quick Links box.Provide full support for the OCR Discrete content of the new specification with worked examples, stimulating activities and assessment support to help develop understanding, reasoning and problem solving. - Help prepare students for assessment with skills-building activities and fully worked examples and solutions tailored to the changed criteria.- Build understanding through carefully worded expositions that set out the basics and the detail of each topic, with call-outs to add clarity.- Test knowledge and develop understanding, reasoning and problem solving with banded Exercise questions that increase in difficulty (answers provided in the back of the book and online). - Gain a full understanding of the logical steps that are used in creating each individual algorithm - Encourages students to track their progress using learning outcomes and Key Points listed at the end of each chapter.
OCR A Level Further Mathematics Mechanics
by Jean-Paul MuscatGrow your students' confidence in applying mathematical techniques to solving problems with resources developed specifically for the OCR specification by subject specialists and MEI (Mathematics in Education and Industry).- Develop reasoning and problem-solving skills with practice questions and differentiated exercises that build mathematical techniques.- Help students to overcome misconceptions and develop insight into problem-solving with annotated worked examples.- Build connections between topics with points of interest and things to notice such as links to real world examples and noticing patterns in the mathematics.- Enhance individual understanding with discussion points designed for the classroom.- Consolidate understanding with end of chapter summaries of the key points.
OCR A Level Further Mathematics Statistics
by John du FeuAchieve your full potential with learning materials that guide you through the Statistics content of the new AS and A-level Further Maths specifications; developed by subject experts and in conjunction with MEI (Mathematics in Education and Industry).- Ensure targeted development of reasoning and problem-solving skills with plenty of practice questions and structured exercises that build statistical skills and techniques.- Identify connections between topics, with real-world contexts to help develop modelling skills, thus providing a fuller and more coherent understanding of statistical concepts.- Address the new statistics requirements with questions around the use of large data sets. - Cover the use of technology in mathematics with a variety of questions based around the use of spreadsheets, graphing software and graphical calculators. - Overcome misconceptions and develop insight into problem solving with annotated worked examples.
OCR A Level Further Mathematics Year 1 (AS): For Core Year 1 And As
by Ben Sparks Claire BaldwinGrow your students' confidence in applying mathematical techniques to solving problems with resources developed specifically for the OCR specification subject experts and in conjunction with MEI (Mathematics in Education and Industry).- Develop reasoning and problem-solving skills with practice questions and differentiated exercises that build mathematical techniques.- Help students to overcome misconceptions and develop insight into problem-solving with annotated worked examples.- Build connections between topics with points of interest and things to notice such as links to real world examples and noticing patterns in the mathematics.- Enhance individual understanding with discussion points designed for the classroom.- Consolidate understanding with end of chapter summaries of the key points.- Provide clear paths of progression that combine pure and applied maths into a coherent whole.
OCR A Level Mathematics Year 1 (AS)
by Val Hanrahan Sophie Goldie Cath Moore Jean-Paul Muscat Susan WhitehouseBoost your students' knowledge, skills and understanding so that they can reason and apply mathematical techniques in solving problems; with resources developed specifically for the OCR specification by subject experts and in conjunction with MEI (Mathematics in Education and Industry).- Boosts students' confidence approaching assessment with plenty of practice questions and skill-focused exercises.- Build connections between topics with points of interest and things to notice such as links to real world examples and noticing patterns in the mathematics. - Ensure targeted development of problem-solving, proof and modelling with dedicated sections on these key areas.- Help students to overcome misconceptions and develop insight into problem-solving with annotated worked examples.- Enhance individual understanding with discussion points designed for the classroom and end of chapter summaries of the key points.- Tackle the new statistics requirements with five dedicated statistics chapters and questions around the use of large data sets. - Address the use of technology in Mathematics with a variety of questions based around the use of spreadsheets, graphing software and graphing calculators. - Provide clear paths of progression that combine pure and applied maths into a coherent whole.
OCR A Level Mathematics Year 2
by Val Hanrahan Sophie Goldie Cath Moore Jean-Paul Muscat Susan WhitehouseBoost your students' knowledge, skills and understanding so that they can reason and apply mathematical techniques in solving problems; with resources developed specifically for the OCR specification by subject experts and in conjunction with MEI (Mathematics in Education and Industry).- Boosts students' confidence approaching assessment with plenty of practice questions and skill-focused exercises.- Build connections between topics with points of interest and things to notice such as links to real world examples and noticing patterns in the mathematics. - Ensure targeted development of problem-solving, proof and modelling with dedicated sections on these key areas.- Help students to overcome misconceptions and develop insight into problem-solving with annotated worked examples.- Enhance individual understanding with discussion points designed for the classroom and end of chapter summaries of the key points.- Tackle the new statistics requirements with five dedicated statistics chapters and questions around the use of large data sets. - Address the use of technology in Mathematics with a variety of questions based around the use of spreadsheets, graphing software and graphing calculators. - Provide clear paths of progression that combine pure and applied maths into a coherent whole.- Reinforce Year 1 content with short review chapters - Year 2 only
OCR Level 3 Free Standing Mathematics Qualification: Additional Maths (2nd edition)
by Val Hanrahan Andrew GintyExam Board: OCRLevel: Free Standing Mathematics QualificationSubject: Additional MathematicsFirst Teaching: September 2018First Exam: Summer 2019Enhance the skills learnt at GCSE and build the confidence to tackle higher-level Mathematics using this comprehensive textbook, tailored to the new OCR Additional Mathematics specification (2018).· Consolidate GCSE Maths skills and prepare for A-level using hundreds of questions designed to bridge the gap between Key Stages 4 and 5.· Expand on GCSE knowledge and confidently tackle new concepts with clear introductions to every topic and plenty of worked examples throughout.· Boost performance in Additional Maths and A-level Maths with expert guidance from subject specialists with extensive examining experience.· Save time planning lessons using our free schemes of work that link to the relevant Integral resources.· Approach your final assessment with confidence, by completing two full practice papers at the end of the book.
ODE/IM Correspondence and Quantum Periods (SpringerBriefs in Mathematical Physics #51)
by Katsushi Ito Hongfei ShuThis book is intended to review some recent developments in quantum field theories and integrable models. The ODE/IM correspondence, which is a nontrivial relation between the spectral analysis of ordinary differential equations and the functional relation approach to two-dimensional quantum integrable models, is the main subject. This correspondence was first discovered by Dorey and Tateo (and Bazhanov, Lukyanov, and Zamolodchikov) in 1998, where the relation between the Schrodinger equation with a monomial potential and the functional equation called the Y-system was found. This correspondence is an example of the mysterious link between classical and quantum integrable systems, which produces many interesting applications in mathematical physics, including exact WKB analysis, the quantum Seiberg–Witten curve, and the AdS–CFT correspondence. In this book, the authors explain some basic notions of the ODE/IM correspondence, where the ODE can be formulated as a linear problem associated with affine Toda field equations. The authors then apply the approach of the ODE/IM correspondence to the exact WKB periods in quantum mechanics with a polynomial potential. Deformation of the potential leads to wall-crossing phenomena in the TBA equations. The exact WKB periods can also be regarded as the quantum periods of the four-dimensional N=2 supersymmetric gauge theories in the Nekrasov–Shatashvili limit of the Omega background. The authors also explain the massive version of the ODE/IM correspondence based on the affine Toda field equations, which also has an application to the minimal surface, and the gluon scattering amplitudes in the AdS/CFT correspondence.
ODE/PDE Analysis of Multiple Myeloma: Programming in R
by William E. SchiesserMultiple myeloma is a form of bone cancer. Specifically, it is a cancer of the plasma cells found in bone marrow (bone soft tissue). Normal plasma cells are an important part of the immune system. Mathematical models for multiple myeloma based on ordinary and partial differential equations (ODE/PDEs) are presented in this book, starting with a basic ODE model in Chapter 1, and concluding with a detailed ODE/PDE model in Chapter 4 that gives the spatiotemporal distribution of four dependent variable components in the bone marrow and peripheral blood: (1) protein produced by multiple myeloma cells, termed the M protein, (2) cytotoxic T lymphocytes (CTLs), (3) natural killer (NK) cells, and (4) regulatory T cells (Tregs). The computer-based implementation of the example models is presented through routines coded (programmed) in R, a quality, open-source scientific computing system that is readily available from the Internet. Formal mathematics is minimized, e.g., no theorems and proofs. Rather, the presentation is through detailed examples that the reader/researcher/analyst can execute on modest computers using the R routines that are available through a download. The PDE analysis is based on the method of lines (MOL), an established general algorithm for PDEs, implemented with finite differences.
ORIGO Stepping Stones 2.0, Comprehensive Mathematics [Grade 2], Student Book A
by James Burnett Calvin Irons Peter StowasserNIMAC-sourced textbook
ORIGO Stepping Stones 2.0, Comprehensive Mathematics [Grade 2], Student Book B
by James Burnett Calvin Irons Peter StowasserNIMAC-sourced textbook
ORIGO Stepping Stones 2.0, Comprehensive Mathematics [Grade 5], Student Book A
by James Burnett Calvin Irons Peter StowasserNIMAC-sourced textbook
ORIGO Stepping Stones 2.0, Comprehensive Mathematics [Grade 5], Student Book B
by James Burnett Calvin Irons Peter Stowasser Allan TurtonNIMAC-sourced textbook
ORIGO Stepping Stones, Core Mathematics [Grade 2], Practice Book
by James Burnett Calvin Irons Peter StowasserNIMAC-sourced textbook
ORIGO Stepping Stones, Core Mathematics [Grade 3], Student Journal
by James Burnett Calvin Irons Debi DePaulNIMAC-sourced textbook
ORIGO Stepping Stones, Core Mathematics [Grade 4], Practice Book
by James Burnett Calvin Irons Peter StowasserNIMAC-sourced textbook