Автор: Karatzas Название: Brownian Motion and Stochastic Calculus ISBN: 0387976558 ISBN-13(EAN): 9780387976556 Издательство: Springer Рейтинг: Цена: 46540.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book is designed as a text for graduate courses in stochastic processes. It is written for readers familiar with measure-theoretic probability and discrete-time processes who wish to explore stochastic processes in continuous time. The vehicle chosen for this exposition is Brownian motion, which is presented as the canonical example of both a martingale and a Markov process with continuous paths. In this context, the theory of stochastic integration and stochastic calculus is developed. The power of this calculus is illustrated by results concerning representations of martingales and change of measure on Wiener space, and these in turn permit a presentation of recent advances in financial economics (option pricing and consumption/investment optimization). This book contains a detailed discussion of weak and strong solutions of stochastic differential equations and a study of local time for semimartingales, with special emphasis on the theory of Brownian local time. The text is complemented by a large number of problems and exercises.
Автор: Lloyd N. Trefethen Название: Approximation Theory and Approximation Practice: Extended Edition ISBN: 161197593X ISBN-13(EAN): 9781611975932 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 60990.00 T Наличие на складе: Нет в наличии. Описание: This is a textbook on classical polynomial and rational approximation theory for the twenty-first century. Aimed at advanced undergraduates and graduate students across all of applied mathematics, it uses MATLAB to teach the field’s most important ideas and results.
Approximation Theory and Approximation Practice, Extended Edition differs fundamentally from other works on approximation theory in a number of ways: its emphasis is on topics close to numerical algorithms; concepts are illustrated with Chebfun; and each chapter is a PUBLISHable MATLAB M-file, available online.
The book centers on theorems and methods for analytic functions, which appear so often in applications, rather than on functions at the edge of discontinuity with their seductive theoretical challenges. Original sources are cited rather than textbooks, and each item in the bibliography is accompanied by an editorial comment. In addition, each chapter has a collection of exercises, which span a wide range from mathematical theory to Chebfun-based numerical experimentation.
Автор: Delbourgo Roger Название: Trigonometry: Notes, Problems And Exercises ISBN: 9813207108 ISBN-13(EAN): 9789813207103 Издательство: World Scientific Publishing Рейтинг: Цена: 50690.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
"It has the content, examples, and exercises to supplement a standard text or lectures. The greater value is on subjects not appearing in many introductory texts such as Ptolemy's Theorem, Napoleon Circles, and pedal triangles."
MAA Reviews
This book provides a thorough, intermediate-level yet concise course in Trigonometry for use in colleges. There are 37 short chapters, each treating one specific theme and containing worked examples and easy exercises. Central to the work are the trigonometric properties of triangle ABC and its associated points. A small appendix contains some Spherical Trigonometry with interesting problems related to the earth; a larger one for enthusiastic students provides further lengthier exercises for extra practice, and full solutions are supplied in the conclusion.
Compared with other books on Trigonometry, this book covers the vast spread of topics. Especially, the author reminds readers of the historical importance of theorems enunciated by such contributors as Ptolemy, Euler, Morley, etc. Their names not only invite the readers to appreciate the beauty of these results, but also direct readers to mystery unknown.
Автор: Gila Hanna; David A. Reid; Michael de Villiers Название: Proof Technology in Mathematics Research and Teaching ISBN: 3030284824 ISBN-13(EAN): 9783030284824 Издательство: Springer Рейтинг: Цена: 139750.00 T Наличие на складе: Поставка под заказ. Описание: This book presents chapters exploring the most recent developments in the role of technology in proving. The full range of topics related to this theme are explored, including computer proving, digital collaboration among mathematicians, mathematics teaching in schools and universities, and the use of the internet as a site of proof learning. Proving is sometimes thought to be the aspect of mathematical activity most resistant to the influence of technological change. While computational methods are well known to have a huge importance in applied mathematics, there is a perception that mathematicians seeking to derive new mathematical results are unaffected by the digital era. The reality is quite different. Digital technologies have transformed how mathematicians work together, how proof is taught in schools and universities, and even the nature of proof itself. Checking billions of cases in extremely large but finite sets, impossible a few decades ago, has now become a standard method of proof. Distributed proving, by teams of mathematicians working independently on sections of a problem, has become very much easier as digital communication facilitates the sharing and comparison of results. Proof assistants and dynamic proof environments have influenced the verification or refutation of conjectures, and ultimately how and why proof is taught in schools. And techniques from computer science for checking the validity of programs are being used to verify mathematical proofs. Chapters in this book include not only research reports and case studies, but also theoretical essays, reviews of the state of the art in selected areas, and historical studies. The authors are experts in the field.
Автор: Hine, Gregory (notre Dame University, Australia) Anderson, Judy (university Of Sydney) Reaburn, Robyn (university Of Tasmania) Cavanagh, Michael (macq Название: Teaching secondary mathematics ISBN: 1108984681 ISBN-13(EAN): 9781108984683 Издательство: Cambridge Academ Рейтинг: Цена: 52790.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Teaching Secondary Mathematics engages directly with the Australian Curriculum: Mathematics and the Australian Professional Standards for Teachers. Part I covers contemporary issues in learning and teaching mathematics. Part II explores key mathematics content including statistics and probability, measurement and geometry, and number and algebra.
Название: Teaching and Learning Mathematics Online ISBN: 0815372361 ISBN-13(EAN): 9780815372363 Издательство: Taylor&Francis Рейтинг: Цена: 117390.00 T Наличие на складе: Нет в наличии. Описание: Teaching and Learning Mathematics Online bridges these issues by presenting meaningful and practical solutions for teaching mathematics and statistics online. It focuses on the problems observed by mathematics instructors currently working in the field.
Автор: Batanero Название: Teaching and Learning Stochastics ISBN: 3319728709 ISBN-13(EAN): 9783319728704 Издательство: Springer Рейтинг: Цена: 158380.00 T Наличие на складе: Есть у поставщика Поставка под заказ. 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 children's 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.
Автор: Elana Reiser Название: Science Of Learning Mathematical Proofs, The: An Introductory Course ISBN: 9811227675 ISBN-13(EAN): 9789811227677 Издательство: World Scientific Publishing Рейтинг: Цена: 84480.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: College students struggle with the switch from thinking of mathematics as a calculation based subject to a problem solving based subject. This book describes how the introduction to proofs course can be taught in a way that gently introduces students to this new way of thinking. This introduction utilizes recent research in neuroscience regarding how the brain learns best. Rather than jumping right into proofs, students are first taught how to change their mindset about learning, how to persevere through difficult problems, how to work successfully in a group, and how to reflect on their learning. With these tools in place, students then learn logic and problem solving as a further foundation.Next various proof techniques such as direct proofs, proof by contraposition, proof by contradiction, and mathematical induction are introduced. These proof techniques are introduced using the context of number theory. The last chapter uses Calculus as a way for students to apply the proof techniques they have learned.
Автор: Kaur Berinderjeet & Toh Tin Lam Название: Reasoning, Communication And Connections In Mathematics: Yearbook 2012, Association Of Mathematics Educators ISBN: 9814405418 ISBN-13(EAN): 9789814405416 Издательство: World Scientific Publishing Рейтинг: Цена: 110880.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Encourages teachers and researchers to advance reasoning, communication and connections in mathematics classrooms. This title illustrates evidence-based practices that school teachers and researchers can experiment with in their own classrooms to bring about meaningful learning outcomes.
Автор: Katie Nagle Название: Applied Math Workbook ISBN: 1792486626 ISBN-13(EAN): 9781792486623 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 80390.00 T Наличие на складе: Нет в наличии. Описание: My psychologist, Dr. J. Mark Pratt, says "What you do most is what you do best." Certainly, full-time paid employment takes up most of my time, and I am so grateful for that. Coming in close second, however, is mental health treatment. Appointments with psychiatrists/psychologists, mental health support groups, obtaining required blood work from the lab, filling pharmacy prescriptions, going to church, reading literature, and praying/meditating. Also common is doing volunteer work, helping friends and family with tasks, and listening to them when they are troubled. These activities give me positive thoughts that I am contributing to society and help keep me away from the negativity that has been a hallmark of my mental illness. Thus it has become a life that I truly believe is one worth living. In the early stages of recovery (the late 1990s) I did not share this view. But I survived those tumultuous days and have now entered into an expansive place where peace, even joy, is a common experience. The psychiatric and psychological treatments that have made this possible cost my mom, Gwen, a lot of money. Although, I have been able to remove this burden from her more recently. It occurred to me that if I could write a book delineating the various aspects of my treatment program, I could share these helpful concepts with others, virtually for free. That is the spirit in which this book is published, and I hope you can utilize it for increased mental health and well-being!
Автор: Posamentier Alfred S Et Al Название: Problem-Solving Strategies In Mathematics: From Common Approaches To Exemplary Strategies ISBN: 981465163X ISBN-13(EAN): 9789814651639 Издательство: World Scientific Publishing Рейтинг: Цена: 21120.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book introduces ten problem-solving strategies by first presenting the strategy and then applying it to problems in elementary mathematics.
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