Springer, 2018. — 573 p. — (Research in Mathematics Education). — ISBN: 978-3-319-99860-2. The innovative volume seeks to broaden the scope of research on mathematical problem solving in different educational environments. It brings together contributions not only from leading researchers, but also highlights collaborations with younger researchers to broadly explore...
American Mathematical Society, 2000. — 459 p. This remarkable book is a celebration of the state of mathematics at the end of the millennium. Produced under the auspices of the International Mathematical Union (IMU), the volume was born as part of the activities observing the World Mathematical Year 2000. P The volume consists of 30 articles written by some of the most influential...
Washington: The Mathematical Association of America, 2000. — 185 p. Through hard experience mathematicians have learned to subject even the most 'evident' assertions to rigorous scrutiny, as intuition and facile reasoning can often be misleading. However, errors can slip past the most watchful eye, they are often subtle and difficult to detect; but when found they can teach us...
Birkhauser Boston, 2002. - 368 Pages. The subject of dynamic equations on time scales continues to be a rapidly growing area of research. Behind the main motivation for the subject lies the key concept that dynamic equations on time scales is a way of unifying and extending continuous and discrete analysis. This work goes beyond an earlier introductory text "Dynamic Equations...
Kluwer Academic Publishers, 1993. — 209 р. — ISBN: 0-7923-2122-7. Introduction: Goals and problems of change-point detection Preliminary considerations State-of-the-art review Printed on acid-free paper Sequential change-point detection problems Disorder detection of random fields Applications of nonparamdric change-point detection methods Proofs, new results and technical details
By John Wiley & Sons, 1997. — 864 p. — ISBN: 0471577979 , 0471184373
Aiming to bridge the gap between mathematical models and the social experience of reality, this is a set of two volumes which examine recent developments in dynamical systems theory. It explores the tools - chaos, linear systems theory, evolutionary game theory - and introduces new areas.
American Mathematical Society. 1999 502 pages. Includes bibliography and index. ISBN: 0821810596.
Mirror symmetry began when theoretical physicists made some astonishing predictions about rational curves on quintic hypersurfaces in four-dimensional projective space. Understanding the mathematics behind these predictions has been a substantial challenge. This book presents a...
Society for Industrial and Applied Mathematics, 1999. — 247 p. The choice of an appropriate electoral system, capable of guaranteeing a representative, stable, and efficient government, has been a major concern of the political debate in many countries in the last few years. But how can different electoral systems be defined? What are the criteria used to determine the...
Washington, D.C.: The Mathematical Association of America, 1992 — 384 pages.
A delightful collection of articles about people who claim they have achieved the mathematically impossible (squaring the circle, duplicating the cube); people who think they have done something they have not (proving Fermat's Last Theorem); people who pray in matrices; people who find the American...
Upper Saddle River: Prentice Hall, 1998. — 252 p.
For introductory undergraduate courses in mathematics and problem-solving, students preparing for such academic contests as the William Lowell Putnam Mathematical Competition, and advanced high school students studying for the American Mathematical Olympiad. This book presents the principles and specific problem-solving methods...
Imperial College Press, 2007. — 492 p. — ISBN: 1860948286. This book contains the first systematic exposition of the global and local theory of dynamics equivariant with respect to a (compact) Lie group. Aside from general genericity and normal form theorems on equivariant bifurcation, it describes many general families of examples of equivariant bifurcation and includes a...
Oxford Science Publications, Clarendon Press, 1987. — 206 p. The word 'mathematics' usually conjures up a world of more-or-less familiar problems to be solved by more-or-less familiar techniques. This book examines a very different aspect of mathematics, namely how one can begin to explore unfamiliar, fresh ideas and chance observations, how one canpursue them through various...
New York: Springer, 2017. — 568 p. In this book, topics such as algebra, trigonometry, calculus and statistics are brought to life through over 500 applications ranging from biology, physics and chemistry to astronomy, geography and music. With over 600 illustrations emphasizing the beauty of mathematics, Math Tools complements more theoretical textbooks on the market, bringing...
New York: Springer, 2021. — 437 p. Landscape of 21st Century Mathematics offers a detailed cross section of contemporary mathematics. Important results of the 21st century are motivated and formulated, providing an overview of recent progress in the discipline.
Princeton: Princeton University Press, 2015. — 1030 p. — ISBN: 978-0-691-15039-0. This is the most authoritative and accessible single-volume reference book on applied mathematics. Featuring numerous entries by leading experts and organized thematically, it introduces readers to applied mathematics and its uses; explains key concepts; describes important equations, laws, and...
New York: Springer, 1996. — 346 p. The variety of sizes, shapes, and irregularities in nature is endless. Through illustrations and text, the authors of The Parsimonious Universe describe the efforts by scientists and mathematicians since the Renaissance to identify and describe the basic laws underlying the shape of natural forms. Can one set of laws account for both the...
New York: Johns Hopkins University Pres, 1989. — 432 p. Proceedings of the JAMI Inaugural Conference Foreword Towards a Local Trace Formula Crystalline Cohomology and P-Adic Galois—Representations On Fourier Coefficients of Eisenstein Series Quasicharacters of Congruence Groups Nearly Ordinary Hecke Algebras and Galois Representations of Several Variables , On The Presentations...
Princeton University Press, 1992. — 247 p. — ISBN 0816058539; ISBN 9780816058532. Based on a well-received course designed for philosophy students, this book is an informal introduction to mathematical thinking. The work will be rewarding not only for philosophers concerned with mathematical questions but also for serious amateur mathematicians with an interest in the "frontiers"...
American Mathematical Society, 1996. — 456 p. — ISBN10: 082180619X; ISBN13: 978-0821806197. The purpose of this book is to teach the basic principles of problem solving, including both mathematical and nonmathematical problems. This book will help students to: Translate verbal discussions into analytical data Learn problem-solving methods for attacking collections of analytical...
Providence: American Mathematical Society, 2012. — 93 p. The International Society for Analysis, its Applications and Computation (ISAAC) has held its international congresses biennially since 1997. This proceedings volume reports on the progress in analysis, applications and computation in recent years as covered and discussed at the 7th ISAAC Congress. This volume includes...
Dover Publications, 1965. — 438 p. — ISBN: 0-486-63730-1. 566 problems and answers impossible to find in any other single source. Topics include steady-state harmonic oscillations, the Fourier method, and the eigenfunction method for solving inhomogeneous problems. More advanced problems deal with integral transforms, curvilinear coordinates, and integral equations. Detailed...
Piscataway: IEEE Press, 1992. — 136 p. This book is about writing in the professional mathematical environment. While the book is nominally about writing, it's also about how to function in the mathematical profession. In many ways, this text complements Krantz's previous bestseller, How to Teach Mathematics. Those who are familiar with Krantz's writing will recognize his lively,...
Oakville: Arcler Press, 2020. — 366 p. Modeling in Mathematics deals with the concept of modeling in the field of mathematics. It includes a statistical and spectral model for representing noisy sounds with short-time sinusoids, robust Bayesian regularized estimation based on regression model and robust quadratic regression and its application to energy-growth consumption...
Boca Raton: CRC Press, 2022. — 466 p. Mathematical Modelling sets out the general principles of mathematical modelling as a means comprehending the world. Within the book, the problems of physics, engineering, chemistry, biology, medicine, economics, ecology, sociology, psychology, political science, etc. are all considered through this uniform lens. The author describes...
American Mathematical Society, 2005. — 129 p. This book brings the beauty and fun of mathematics to the classroom. It offers serious mathematics in a lively, reader-friendly style. Included are exercises and many figures illustrating the main concepts. The first chapter talks about the theory of manifolds. It includes discussion of smoothness, differentiability, and...
American Mathematical Society, 2005. — 176 p. — ISBN: 0821839195. Mathematical billiards describe the movement of a mass element in a website with elastic reflections off the boundary or, equivalently, the habit of rays of sunshine in a site with preferably reflecting boundary. From the viewpoint of differential geometry, the billiard circulate is the geodesic movement on a...
Cham: Springer, 2021. — 150 p. This unique book gathers various scientific and mathematical approaches to and descriptions of the natural and physical world stemming from a broad range of mathematical areas – from model systems, differential equations, statistics, and probability – all of which scientifically and mathematically reveal the inherent beauty of natural and physical...
American Mathematical Society, 2003. — 137 pages. This book will bring the beauty and fun of mathematics to the classroom. It offers serious mathematics in a lively, reader-friendly style. Included are exercises and many figures illustrating the main concepts. The first chapter presents the geometry and topology of surfaces. Among other topics, the authors discuss the...
American Matematical Society, 2004. — 131 p. This book brings the beauty and fun of mathematics to the classroom. It offers serious mathematics in a lively, reader-friendly style. Included are exercises and many figures illustrating the main concepts. The first chapter talks about the theory of trigonometric and elliptic functions. It includes subjects such as power series...
Springer, 2014. — 204 p. This book teaches the art of writing mathematics, an essential and difficult skill for any mathematics student. The book begins with an informal introduction on basic writing principles and a review of the essential dictionary for mathematics. Writing techniques are developed gradually, from the small to the large: words, phrases, sentences, paragraphs,...
Dordrecht: Kluwer Academic Publishers, 2001. — 427 p.
This book is a collection of essays centred around the subject of mathematical mechanization. It tries to deal with mathematics in a constructive and algorithmic manner so that reasoning becomes mechanical, automated and less laborious. The book is divided into three parts. Part I concerns historical developments of...
М.: Московский центр непрерывного математического образования (МЦНМО), 2005. — 56 с. — ISBN 5-94057-204-9. В книге собраны задачи по различным разделам математики, предлагавшиеся для обсуждения на семинарах (2003—2004 гг.) академика РАН В.И. Арнольда.
М.: Московский центр непрерывного математического образования (МЦНМО), 2018. — 185 с. В первой части книги выдающийся математик В. И. Арнольд в полемической форме рассуждает о соотношении чистой и прикладной математики. Вторая часть книги содержит записи курсов лекций, прочитанных автором в Дубне в 2005 году, на летней школе «Современная математика». В ней рассказывается о...
М.: Московский центр непрерывного математического образования (МЦНМО), 2006. — 120 с. — ISBN 978-5-94057-282-4. Книга содержит записи лекций, прочитанных академиком В.И. Арнольдом в 2005 г. в рамках летней школы «Современная математика». В книге рассказывается о нескольких новых направлениях математических исследований, основанных на численных экспериментах. Статистика...
М.: Синтег, 1999. — 118 с. — ISBN 5-89638-024-0. Предложен новый взгляд на арифметические основы математики, исходящий из нетрадиционного упорядочения числовой оси. Введенная система аксиом позволяет с единых общих позиций расширить возможности современной математики в таких разделах, как суммирование расходящихся рядов, вычисление пределов и значений вычетов факториала и...
Монография. — М.: Советское радио, 1970. — 400 с. Книга содержит изложение теоретических основ резонансных преобразований, описание свойств резонансных и спектральных диаграмм и их применения в теории сигналов и теории колебаний. Исследуется связь между преобразованием Фурье и резонансными преобразованиями и обсуждается использование свойств резонансных диаграмм для определения...
М. : Институт компьютерных исследований ; Ижевск : Регулярная и хаотическая динамика, 2010. — 674 с. — ISBN: 978-5-93972-799-0. Сборник посвящен 60-летию крупного российского математика и механика Валерия Васильевича Козлова. Здесь представлены его основные работы по разным областям динамических систем, написанные им в разные годы. Подборка статей представляет собой введение в...
Москва: АСВ, 2008. — 128 с. — ISBN 978-5-93093-544-8. В брошюре приводятся общие понятия о симметрии и асимметрии плоских геометрических фигур, физических законов; рассматриваются некоторые виды геометрических преобразований плоских фигур (аффинные преобразования, симметризация Штейнера и Шварца); обсуждаются вопросы подобия с точностью до геометрического преобразования....
М.: МАКС Пресс, 2003. — 122 с. — (Труды факультета ВМиК МГУ им. М.В. Ломоносова, 14). — ISBN 5-317-00813-1. В труды факультета ВМиК включены работы по темам: численные методы, математическое моделирование. В этих публикациях нашли отражение исследования учёных факультета по актуальным проблемам прикладной математики, выполненных и рамках проекта «Создание учебно-научноrо центра...
Л.: ЛКИ, 1936. — 183 с. Попытка обобщения аппарата комплексных чисел на случай трёх составляющих (действительной, мнимой и триплексной). Скан рукописного текста.
Курс лекций. — Киев: Институт математики АН УССР, 1974. — 399 с. Сборник содержит два цикла лекций, прочитанных в X летней математической школе. Тематика первого цикла лекций (г. Нальчик, 2-16 июля 1972 г.) — некоторые вопросы функционального анализа и математической физики. Лекции посвящены кусочно-полиномиальной аппроксимации суммируемых функций; их применениям к функциям...
М.: Эдиториал УРСС, 2004. — 351 с. Описывается общий подход к работе с неточно определенными объектами. Предлагаются неклассические понятия непрерывности, аппроксимации, регуляризации. Рассмотрены мягкие аналоги математического анализа, включая производные и интегралы, мягкие дифференциальные и интегральные уравнения, разнообразные мягкие задачи оптимизационного характера,...
М.: Фазис, 2000. — 465 с. — ISBN 5-7036-0060-X. В книге собраны задачи выдающегося советского и российского математика, академика В. И. Арнольда, которые он ставил своим ученикам более 40 лет. Ко многим задачам приведены комментарии, содержащие обзор результатов по данному направлению исследований. Широта охвата самых различных разделов математики делает издание уникальным и...
М.; Ижевск: Регулярная и хаотическая динамика, Ижевский институт компьютерных исследований, 2011. — 180 с. — ISBN: 978-5-93972-905-5. Математические биллиарды описывают движение материальной точки в области с упруго отражающими границами. Биллиарды - это не отдельная математическая теория, это скорее игровая площадка для математиков, где можно опробовать и отполировать...
М.: Наука, 1964. — 168 с. — (Современные проблемы математики). В настоящий сборник включены некоторые элементарные задачи, цель которых — указать характер возможных формулировок и тип математических схем, которые могут быть полезны в некоторых будущих физических теориях.
М.: Московский центр непрерывного математического образования (МЦНМО), 2004. — 264 с. Цель семинара «Глобус» — по возможности восстановить единство математики. Семинар рассчитан на математиков всех специальностей, аспирантов и студентов. У профессоров Независимого Московского университета возникло желание с этой тенденцией побороться. Мы создали общеуниверситетский семинар по...
Комментарии