This book is a brief and focused introduction to the reverse mathematics and computability theory of combinatorial principles, an area of research which has seen a particular surge of activity in the last few years. It provides an overview of some fundamental ideas and techniques, and enough context to make it possible for students with at least a basic knowledge of computability theory and proof theory to appreciate the exciting advances currently happening in the area, and perhaps make contributions of their own. It adopts a case-study approach, using the study of versions of Ramsey's Theorem (for colorings of tuples of natural numbers) and related principles as illustrations of various aspects of computability theoretic and reverse mathematical analysis. This book contains many exercises and open questions.
Автор: Saccoman John T., Suffel Charles L., Gross Daniel Название: Spanning Tree Results for Graphs and Multigraphs: A Matrix-Theoretic Approach ISBN: 9814566039 ISBN-13(EAN): 9789814566032 Издательство: World Scientific Publishing Рейтинг: Цена: 74970.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
This book is concerned with the optimization problem of maximizing the number of spanning trees of a multigraph. Since a spanning tree is a minimally connected subgraph, graphs and multigraphs having more of these are, in some sense, immune to disconnection by edge failure. We employ a matrix-theoretic approach to the calculation of the number of spanning trees.
The authors envision this as a research aid that is of particular interest to graduate students or advanced undergraduate students and researchers in the area of network reliability theory. This would encompass graph theorists of all stripes, including mathematicians, computer scientists, electrical and computer engineers, and operations researchers.
Errata(s)
Название: Forcing for Mathematicians ISBN: 9814566004 ISBN-13(EAN): 9789814566001 Издательство: World Scientific Publishing Рейтинг: Цена: 57030.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Ever since Paul Cohen's spectacular use of the forcing concept to prove the independence of the continuum hypothesis from the standard axioms of set theory, forcing has been seen by the general mathematical community as a subject of great intrinsic interest but one that is technically so forbidding that it is only accessible to specialists. In the past decade, a series of remarkable solutions to long-standing problems in C*-algebra using set-theoretic methods, many achieved by the author and his collaborators, have generated new interest in this subject. This is the first book aimed at explaining forcing to general mathematicians. It simultaneously makes the subject broadly accessible by explaining it in a clear, simple manner, and surveys advanced applications of set theory to mainstream topics.
Автор: Inprasitha, Maitree Isoda, Masami Yeap, Ban-har Название: Lesson study ISBN: 9812835407 ISBN-13(EAN): 9789812835406 Издательство: World Scientific Publishing Рейтинг: Цена: 132000.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Classroom Innovations through Lesson Study is an APEC EDNET (Asia-Pacific Economic Cooperation Education Network) project that aims to improve the quality of education in the area of mathematics. This book includes challenges of lesson study in the world, for example, in Japan and Singapore.
Название: Investigating the Pedagogy of Mathematics: How Do Teachers Develop Their Knowledge? ISBN: 1783264578 ISBN-13(EAN): 9781783264575 Издательство: World Scientific Publishing Рейтинг: Цена: 121440.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book responds to the growing interest in the scholarship of mathematics teaching; over the last 20 years the importance of teachers` knowledge for effective teaching has been internationally recognised.
Автор: Inprasitha, Maitree Isoda, Masami Yeap, Ban-har Название: Lesson study ISBN: 9812835415 ISBN-13(EAN): 9789812835413 Издательство: World Scientific Publishing Рейтинг: Цена: 42240.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Classroom Innovations through Lesson Study is an APEC EDNET (Asia-Pacific Economic Cooperation Education Network) project that aims to improve the quality of education in the area of mathematics. This book includes challenges of lesson study in the world, for example, in Japan and Singapore.
Автор: Zhao Xishun, Feng Qi, Kim Byunghan Название: Proceedings of the 13th Asian Logic Conference: 13th Asian Logic Conference ISBN: 9814675997 ISBN-13(EAN): 9789814675994 Издательство: World Scientific Publishing Цена: 104550.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This volume provides a forum which highlights new achievements and overviews of recent developments of the thriving logic groups in the Asia-Pacific region. It contains papers by leading logicians and also some contributions in computer science logics and philosophic logics.
Автор: Kenney Margaret J. Название: Number Treasury 3: Investigations, Facts and Conjectures abo ISBN: 9814603694 ISBN-13(EAN): 9789814603690 Издательство: World Scientific Publishing Рейтинг: Цена: 33790.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
"This book is a great choice for teachers as well as students who are interested in either recreational mathematics or in studying interesting number patterns. The activities can easily be used in both middle and secondary mathematics classrooms as enrichment topics. They would also be appropriate for use in math clubs and to challenge advanced learners. I highly recommend this book for anyone who loves exploring interesting properties of numbers."
Mathematics Teaching in the Middle School
"It is indeed an extremely rare occasion when a book can be used as a reference through such a broad level of math classes. This one is an existence proof."
Mathematical Association of America
"I recommend this book as a resource for developing lessons that extend students' understanding of the properties and relationships of numbers. The investigations allow students to make conjectures and generalizations about numbers and act as mathematicians."
Mathematics Teacher
"Many of the provided activities would be suitable for the high-school classroom, and could give students the opportunity to explore certain aspects of mathematics with a degree of independence."
Mathematical Gazette
This resource volume is an enlargement as well as an update of the previous edition. The book aims to introduce the reader to over 100 different families of positive integers. A brief historical note accompanies the descriptions and examples of several of the families together with a mix of routine exercises and problems as well as some thought provokers to solve. Number Treasury3 especially aims to stimulate further study beyond the scope of the introductory treatment given in the book. The emphasis in Number Treasury3 is on doing not proving. However, the reader is directed to think critically about situations, to provide explanations, to make generalizations, and to formulate conjectures. To engage the reader from the start, the book begins with a set of rich Investigations. These are standalone activities that represent each of the chapters of the book.
Автор: Smullyan Raymond Название: Reflections: The Magic, Music and Mathematics of Raymond Smullyan ISBN: 9814644587 ISBN-13(EAN): 9789814644587 Издательство: World Scientific Publishing Рейтинг: Цена: 57030.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This is an exciting if not rambling account of events of Raymond Smullyan`s four lives - as a mathematical logician, musician, magician, and author - together with thoughts that come to his mind as he recalls them.
Автор: Posamentier Alfred S., Krulik Stephen Название: Problem-Solving Strategies in Mathematics: From Common Approaches to Exemplary Strategies ISBN: 9814651621 ISBN-13(EAN): 9789814651622 Издательство: World Scientific Publishing Рейтинг: Цена: 47520.00 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.
Автор: Morrison, K. Название: Cambridge IGCSE Mathematics. Core and Extended Coursebook ISBN: 1316605639 ISBN-13(EAN): 9781316605639 Издательство: Cambridge Education Рейтинг: Цена: 40370.00 T Наличие на складе: Невозможна поставка. Описание: This Revised Edition of Cambridge IGCSE Mathematics has been updated to reflect changes in the 0580 syllabus and ensure full syllabus coverage. With clearly marked core and extended material, the coursebook provides clear explanations and practice exercises to help students master mathematical skills.
Название: Cambridge international as & a level mathematics: pure mathematics 2 & 3 practice book ISBN: 1108457673 ISBN-13(EAN): 9781108457675 Издательство: Cambridge Education Рейтинг: Цена: 21420.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This series has been developed specifically for the Cambridge International AS & A Level Mathematics (9709) syllabus to be examined from 2020.
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