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Teaching and Learning Stochastics, Batanero


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Автор: Batanero
Название:  Teaching and Learning Stochastics
ISBN: 9783319728704
Издательство: Springer
Классификация:





ISBN-10: 3319728709
Обложка/Формат: Hardcover
Страницы: 384
Вес: 7.21 кг.
Дата издания: 2018
Серия: ICME-13 Monographs
Язык: English
Издание: 1st ed. 2018
Иллюстрации: 40 illustrations, black and white; xiii, 383 p. 40 illus.
Размер: 234 x 156 x 22
Читательская аудитория: Postgraduate, research & scholarly
Основная тема: Mathematics Education
Подзаголовок: Advances in Probability Education Research
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание:

Preface

Section 1. Teaching probability

Chapter 1. Reasoning with risk: teaching probability and risk as twin concepts

Manfred Borovcnik and Ramesh Kapadia

Chapter 2. Language and lexical ambiguity in the probability register

Adam Molnar

Chapter 3. The status of probability in the elementary and lower secondary school mathematics curriculum: the rise and fall of probability in school mathematics in the United States

Cynthia W. Langrall

Chapter 4. Challenges and opportunities in experimentation-based instruction in probability

Per Nilsson, Andreas Eckert and Dave Pratt

Chapter 5. Visualising conditional probabilities - three perspectives on unit squares and tree diagrams

Katharina Bцcherer-Linder, Andreas Eichler and Markus Vogel

Chapter 6. Probability concepts needed for teaching a repeated sampling approach to inference

Hollylynne S. Lee

Chapter 7. Characterizing the probability problems proposed in university entrance tests in Andalucia

Carmen Batanero, Maria del Mar Lуpez-Martнn, Pedro Arteaga and Marнa M. Gea

Chapter 8. Random walks in the didactics of probability: enactive metaphoric learning sprouts

Jorge Soto, Daniela Dнaz-Rojas and Pamela Reyes-Santander

Chapter 9. The role of statistics anxiety in learning probability

Caterina Primi, Anna Donati and Francesca Chiesi

Section 2. Students reasoning and learning

Chapter 10. What 9- and 10-year old pupils already know and what they can learn about randomness

Peter Bryant, Terezinha Nunes, Deborah Evans, Rossana Barros, Laura Gottardis and Emanouela Terlektsi

Chapter 11. Understanding childrens meaning of randomness in relation to random generators. Haneet Gandhi

Chapter 12. Reasoning in decision making under uncertainty and decisions of risi on a game of chance

Ana Serradу

Chapter 13. Determinism and empirical commitment in probabilistic reasoning of high school students

Ernesto Sanchez, Jaime Garcнa and Miguel Mercado

Chapter 14. Students reasoning on sample space and probabilities of compound events

Pedro Landнn and Jesъs Salinas

Chapter 15. The six loses: risky decisions between probabilistic reasoning and gut feelings

Joachim Engel and Arne Orthwein

Section 3. Education of teachers

Chapter 16. Comparing the relative probabilities of events

Egan Chernoff, Ilona Vashchyshyn and Heidi Neufeld

Chapter 17. Preparing teachers for teaching probability through problem solving

Pedro M. Huerta

Chapter 18. Exploring teachers attitudes towards probability and its teaching

Assumpta Estrada, Carmen Batanero and Carmen Dнaz

Chapter 19. Students reflections about a course for learning probability via simulations

Susanne Podworny

Chapter 20.



Analysis for Diffusion Processes on Riemannian Manifolds

Автор: Wang Feng Yu
Название: Analysis for Diffusion Processes on Riemannian Manifolds
ISBN: 9814452645 ISBN-13(EAN): 9789814452649
Издательство: World Scientific Publishing
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Цена: 19800.00 р.
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Описание: Stochastic analysis on Riemannian manifolds without boundary has been well established. However, the analysis for reflecting diffusion processes and sub-elliptic diffusion processes is far from complete. This book contains recent advances in this direction along with new ideas and efficient arguments, which are crucial for further developments. Many results contained here (for example, the formula of the curvature using derivatives of the semigroup) are new among existing monographs even in the case without boundary.

Introduction to Stochastic Calculus with Applications

Автор: Klebaner Fima C
Название: Introduction to Stochastic Calculus with Applications
ISBN: 1848168322 ISBN-13(EAN): 9781848168329
Издательство: World Scientific Publishing
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Цена: 7603.00 р.
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Описание: Presents a treatment of stochastic calculus. This title gives its main applications in finance, biology and engineering. It presents the theory of stochastic calculus and its applications to an audience which possesses only a basic knowledge of calculus and probability.

Introduction To Stochastic Calculus With Applications (3Rd Edition)

Автор: Klebaner Fima C
Название: Introduction To Stochastic Calculus With Applications (3Rd Edition)
ISBN: 1848168314 ISBN-13(EAN): 9781848168312
Издательство: World Scientific Publishing
Рейтинг:
Цена: 12830.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: Presents a treatment of stochastic calculus. This title gives its main applications in finance, biology and engineering. It presents the theory of stochastic calculus and its applications to an audience which possesses only a basic knowledge of calculus and probability.

Teaching and Learning Stochastics

Автор: Carmen Batanero; Egan J Chernoff
Название: Teaching and Learning Stochastics
ISBN: 3030102823 ISBN-13(EAN): 9783030102821
Издательство: Springer
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Цена: 23757.00 р.
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Описание:

This book presents a collection of selected papers that represent the current variety of research on the teaching and learning of probability. The respective chapters address a diverse range of theoretical, empirical and practical aspects underpinning the teaching and learning of probability, curricular issues, probabilistic reasoning, misconceptions and biases, as well as their pedagogical implications. These chapters are divided into THREE main sections, dealing with: TEACHING PROBABILITY, STUDENTS' REASONING AND LEARNING AND EDUCATION OF TEACHERS.
In brief, the papers presented here include research dealing with teachers and students at different levels and ages (from primary school to university) and address epistemological and curricular analysis, as well as the role of technology, simulations, language and visualisation in teaching and learning probability. As such, it offers essential information for teachers, researchers and curricular designers alike.
Estimation of Stochastic Processes with Missing Observations

Автор: Mikhail Moklyachuk, Maria Sidei, Oleksandr Masyutka
Название: Estimation of Stochastic Processes with Missing Observations
ISBN: 1536158909 ISBN-13(EAN): 9781536158908
Издательство: Nova Science
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Цена: 32312.00 р.
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Описание: We propose results of the investigation of the problem of mean square optimal estimation of linear functionals constructed from unobserved values of stationary stochastic processes. Estimates are based on observations of the processes with additive stationary noise process. The aim of the book is to develop methods for finding the optimal estimates of the functionals in the case where some observations are missing. Formulas for computing values of the mean-square errors and the spectral characteristics of the optimal linear estimates of functionals are derived in the case of spectral certainty, where the spectral densities of the processes are exactly known. The minimax robust method of estimation is applied in the case of spectral uncertainty, where the spectral densities of the processes are not known exactly while some classes of admissible spectral densities are given. The formulas that determine the least favourable spectral densities and the minimax spectral characteristics of the optimal estimates of functionals are proposed for some special classes of admissible densities.

Semigroups of Linear Operators: With Applications to Analysis, Probability and Physics

Автор: David Applebaum
Название: Semigroups of Linear Operators: With Applications to Analysis, Probability and Physics
ISBN: 1108483097 ISBN-13(EAN): 9781108483094
Издательство: Cambridge Academ
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Цена: 18058.00 р.
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Описание: The theory of semigroups of operators is a topic with great intellectual beauty and wide-ranging applications. This graduate-level introduction presents the essential elements of the theory, introducing the key notions and establishing the central theorems. A mixture of applications are included and further development directions are indicated.

The Probability Companion for Engineering and Computer Science

Автор: Adam Prugel-Bennett
Название: The Probability Companion for Engineering and Computer Science
ISBN: 1108480535 ISBN-13(EAN): 9781108480536
Издательство: Cambridge Academ
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Цена: 18216.00 р.
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Описание: This guide helps undergraduate and graduate students convert pure mathematics into understanding and facility with a host of probabilistic tools. From the basic rules of probability it expands to the most sophisticated modern techniques, equipping those starting their careers and providing a handy reference for professionals and researchers.

Institute of mathematical statistics textbooks

Автор: Nualart, David (university Of Kansas) Nualart, Eul...lia (universitat Pompeu Fabra, Barcelona)
Название: Institute of mathematical statistics textbooks
ISBN: 1107611989 ISBN-13(EAN): 9781107611986
Издательство: Cambridge Academ
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Цена: 6019.00 р.
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Описание: This textbook offers a compact introduction to Malliavin calculus. It covers recent applications, and includes a self-contained presentation of preliminary material on Brownian motion and stochastic calculus. Accessible to non-experts, graduate students and researchers can use this book to master the core techniques necessary for further study.

Probability on Real Lie Algebras

Автор: Franz
Название: Probability on Real Lie Algebras
ISBN: 110712865X ISBN-13(EAN): 9781107128651
Издательство: Cambridge Academ
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Цена: 17424.00 р.
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Описание: This monograph is a progressive introduction to non-commutativity in probability theory, summarizing and synthesizing recent results about classical and quantum stochastic processes on Lie algebras. This book will appeal to advanced undergraduate and graduate students interested in the relations between algebra, probability, and quantum theory.

Informal Introduction To Stochastic Calculus With Applications, An

Автор: Calin Ovidiu
Название: Informal Introduction To Stochastic Calculus With Applications, An
ISBN: 9814689912 ISBN-13(EAN): 9789814689915
Издательство: World Scientific Publishing
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Цена: 6336.00 р.
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Описание: The Goal Of This Book Is To Present Stochastic Calculus At An Introductory Level And Not At Its Maximum Mathematical Detail. The Author Aims To Capture As Much As Possible The Spirit Of Elementary Deterministic Calculus, At Which Students Have Been Already Exposed. This Assumes A Presentation That Mimics Similar Properties Of Deterministic Calculus, Which Facilitates Understanding Of More Complicated Topics Of Stochastic Calculus.

A First look at stochastic processes

Автор: Rosenthal, Jeffrey S
Название: A First look at stochastic processes
ISBN: 9811207909 ISBN-13(EAN): 9789811207907
Издательство: World Scientific Publishing
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Цена: 11088.00 р.
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Описание:

This textbook introduces the theory of stochastic processes, that is, randomness which proceeds in time. Using concrete examples like repeated gambling and jumping frogs, it presents fundamental mathematical results through simple, clear, logical theorems and examples. It covers in detail such essential material as Markov chain recurrence criteria, the Markov chain convergence theorem, and optional stopping theorems for martingales. The final chapter provides a brief introduction to Brownian motion, Markov processes in continuous time and space, Poisson processes, and renewal theory.

Interspersed throughout are applications to such topics as gambler's ruin probabilities, random walks on graphs, sequence waiting times, branching processes, stock option pricing, and Markov Chain Monte Carlo (MCMC) algorithms.

The focus is always on making the theory as well-motivated and accessible as possible, to allow students and readers to learn this fascinating subject as easily and painlessly as possible.

Applied Stochastic Differential Equations

Автор: Simo Sarkka, Arno Solin
Название: Applied Stochastic Differential Equations
ISBN: 1316510085 ISBN-13(EAN): 9781316510087
Издательство: Cambridge Academ
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Цена: 17424.00 р.
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Описание: This intuitive hands-on text introduces stochastic differential equations (SDEs) as motivated by applications in target tracking and medical technology, and covers their use in methodologies such as filtering, parameter estimation, and machine learning. Examples include applications of SDEs arising in physics and electrical engineering.


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