Understanding Mathematics Through Problem Solving, Posamentier Alfred S, Poole Peter
Автор: Petr Hajek Название: Metamathematics of First-Order Arithmetic ISBN: 1107168414 ISBN-13(EAN): 9781107168411 Издательство: Cambridge Academ Рейтинг: Цена: 111620.00 T Наличие на складе: Есть Описание: This much-needed monograph on the metamathematics of first-order arithmetic pays particular attention to subsystems (fragments) of Peano arithmetic and gives the reader a deeper understanding of the role of the axiom schema of induction and of the phenomenon of incompleteness.
Автор: Stillwell John Название: Reverse Mathematics: Proofs from the Inside Out ISBN: 0691177171 ISBN-13(EAN): 9780691177175 Издательство: Wiley Рейтинг: Цена: 23230.00 T Наличие на складе: Поставка под заказ. Описание:
This book presents reverse mathematics to a general mathematical audience for the first time. Reverse mathematics is a new field that answers some old questions. In the two thousand years that mathematicians have been deriving theorems from axioms, it has often been asked: which axioms are needed to prove a given theorem? Only in the last two hundred years have some of these questions been answered, and only in the last forty years has a systematic approach been developed. In Reverse Mathematics, John Stillwell gives a representative view of this field, emphasizing basic analysis--finding the "right axioms" to prove fundamental theorems--and giving a novel approach to logic.
Stillwell introduces reverse mathematics historically, describing the two developments that made reverse mathematics possible, both involving the idea of arithmetization. The first was the nineteenth-century project of arithmetizing analysis, which aimed to define all concepts of analysis in terms of natural numbers and sets of natural numbers. The second was the twentieth-century arithmetization of logic and computation. Thus arithmetic in some sense underlies analysis, logic, and computation. Reverse mathematics exploits this insight by viewing analysis as arithmetic extended by axioms about the existence of infinite sets. Remarkably, only a small number of axioms are needed for reverse mathematics, and, for each basic theorem of analysis, Stillwell finds the "right axiom" to prove it.
By using a minimum of mathematical logic in a well-motivated way, Reverse Mathematics will engage advanced undergraduates and all mathematicians interested in the foundations of mathematics.
Автор: Powers, Joseph M. (University of Notre Dame, Indiana) Sen, Mihir (University of Notre Dame, Indiana) Название: Mathematical Methods in Engineering ISBN: 1107037042 ISBN-13(EAN): 9781107037045 Издательство: Cambridge Academ Рейтинг: Цена: 67590.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book is designed for engineering graduate students. It connects mathematics to a variety of methods used for engineering problems by walking the reader stepwise through examples that have been worked in detail, followed by numerous homework problems to reinforce learning and connect the subject matter to engineering applications.
Автор: Michela Massimi, Casey D. McCoy Название: Understanding Perspectivism (Open Access): Scientific Challenges and Methodological Prospects ISBN: 1138503061 ISBN-13(EAN): 9781138503069 Издательство: Taylor&Francis Рейтинг: Цена: 148010.00 T Наличие на складе: Невозможна поставка. Описание: This edited collection is the first of its kind to explore the view called perspectivism in philosophy of science. These ten new essays by top scholars in the field offer a polyphonic journey towards understanding the view called `perspectivism` and its relevance to science.
Название: Introductory Mathematics and Statistics through Sports ISBN: 0198835671 ISBN-13(EAN): 9780198835677 Издательство: Oxford Academ Рейтинг: Цена: 36420.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Introductory Mathematics and Statistics through Sports uses sport as a tool to help students get to grips with mathematics and statistics, placing great emphasis on communication, application, and internalization of mathematics.
The art or skill of problem solving in mathematics is mostly relegated to the strategies one can use to solve problems in the field. Although this book addresses that issue, it delves deeply into the psychological aspects that affect successful problem-solving. Such topics as decision-making, judgment, and reasoning as well as using memory effectively and a discussion of the thought processes that could help address certain problem-solving situations.
Most books that address problem-solving and mathematics focus on the various skills. This book goes beyond that and investigates the psychological aspects to solving problems in mathematics.
Название: The Golden Ratio: The Divine Beauty of Mathematics ISBN: 163106486X ISBN-13(EAN): 9781631064869 Издательство: Quarto Рейтинг: Цена: 19350.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The Golden Ratio is a lush volume filled with the gorgeous illustrations of renowned artist Rafael Araujo-the consummate golden ratio keepsake.
Автор: Geretschlager Robert Название: Engaging Young Students In Mathematics Through Competitions ISBN: 9811207232 ISBN-13(EAN): 9789811207235 Издательство: World Scientific Publishing Рейтинг: Цена: 36960.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
The two volumes of Engaging Young Students in Mathematics through Competitions present a wide scope of aspects relating to mathematics competitions and their meaning in the world of mathematical research, teaching and entertainment.
Volume I contains a wide variety of fascinating mathematical problems of the type often presented at mathematics competitions as well as papers by an international group of authors involved in problem development, in which we can get a sense of how such problems are created in various specialized areas of competition mathematics as well as recreational mathematics.
It will be of special interest to anyone interested in solving original mathematics problems themselves for enjoyment to improve their skills. It will also be of special interest to anyone involved in the area of problem development for competitions, or just for recreational purposes.
The various chapters were written by the participants of the 8th Congress of the World Federation of National Mathematics Competitions in Austria in 2018.
Автор: Teixeira Ricardo V, Park Jang-woo Название: Mathemagics: A Magical Journey Through Advanced Mathematics - Connecting More Than 60 Magic Tricks To High-level Math ISBN: 9811214506 ISBN-13(EAN): 9789811214509 Издательство: World Scientific Publishing Рейтинг: Цена: 95040.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: 'This delightful book connects mathematical concepts in a dozen areas to magic tricks. Expositions of the mathematics precede description and analysis of the tricks. The expositions are too short for in-depth learning; the intent is to give sophomores a taste of the content and ideas of later mathematics courses. Each chapter features exercises on the mathematics, and students can have fun practicing the tricks.'Mathematics MagazineTeixeira and Park present over 60 different magic tricks while introducing students to high-level math areas. Readers will learn really interesting ideas that will better prepare them for future courses and help them finding areas they might want to study deeper. And as a 'side effect' students will learn amazing magic tricks, century-old secrets, and details from famous magicians and mathematicians.The material was written to quickly present key concepts in several mathematical areas in direct way. Little or no proficiency in math is assumed. In fact, students do not require any Calculus knowledge. And since chapters are almost independent from each other, this book also work as introduction to several other courses.Topics covered include mathematical proofs, probability, abstract algebra, linear algebra, mathematical computing, number theory, coding theory, geometry, topology, real analysis, numerical analysis and history of math.
Автор: Posamentier Alfred S, Maresch Guenter Название: Solving Problems In Our Spatial World ISBN: 981327803X ISBN-13(EAN): 9789813278035 Издательство: World Scientific Publishing Рейтинг: Цена: 53740.00 T Наличие на складе: Есть Описание:
Immerse yourself in the fascinating world of geometry and spatial ability -- either individually or in small groups, either as challenges or play problems Here are four reasons why you should work with this book:
Train and improve your spatial ability in a well-balanced and structured way The problems of the book address all subcomponents of spatial ability
Train spatial ability on all three levels in which we learn mathematics The haptic way, figurative way, symbolic and mostly mental way, or a combination of all three
Store geometric objects with various characteristics in the brain This enhances your ability to solve geometric and spatial and even mathematical tasks.
Hours of fun From the several thousand students and adults who worked with the problems of the book, we know that it is fun solving these problems in a variety of ways.
This book offers a very unique opportunity to enhance your spatial ability, your mathematical competence, and your logical thinking. The authors arranged 45 problems -- including more than 120 tasks -- in a well-balanced order, which have been tested with a variety of populations.
The two volumes of "Engaging Young Students in Mathematics through Competitions" present a wide scope of aspects relating to mathematics competitions and their meaning in the world of mathematical research, teaching and entertainment.
Volume II contains background information on connections between the mathematics of competitions and the organization of such competitions, their interplay with research, teaching and more.
It will be of interest to anyone involved with mathematics competitions at any level, be they researchers, competition participants, teachers or theoretical educators.
The various chapters were written by the participants of the 8th Congress of the World Federation of National Mathematics Competitions in Austria in 2018.
The two volumes of Engaging Young Students in Mathematics through Competitions present a wide scope of aspects relating to mathematics competitions and their meaning in the world of mathematical research, teaching and entertainment.
Volume I contains a wide variety of fascinating mathematical problems of the type often presented at mathematics competitions as well as papers by an international group of authors involved in problem development, in which we can get a sense of how such problems are created in various specialized areas of competition mathematics as well as recreational mathematics.
It will be of special interest to anyone interested in solving original mathematics problems themselves for enjoyment to improve their skills. It will also be of special interest to anyone involved in the area of problem development for competitions, or just for recreational purposes.
The various chapters were written by the participants of the 8th Congress of the World Federation of National Mathematics Competitions in Austria in 2018.
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