An Excursion through Elementary Mathematics, Volume II, Antonio Caminha Muniz Neto
Автор: Antonio Caminha Muniz Neto Название: An Excursion through Elementary Mathematics, Volume III ISBN: 3030085902 ISBN-13(EAN): 9783030085902 Издательство: Springer Рейтинг: Цена: 43780.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
This book provides a comprehensive, in-depth overview of elementary mathematics as explored in Mathematical Olympiads around the world. It expands on topics usually encountered in high school and could even be used as preparation for a first-semester undergraduate course. This third and last volume covers Counting, Generating Functions, Graph Theory, Number Theory, Complex Numbers, Polynomials, and much more.
As part of a collection, the book differs from other publications in this field by not being a mere selection of questions or a set of tips and tricks that applies to specific problems. It starts from the most basic theoretical principles, without being either too general or too axiomatic. Examples and problems are discussed only if they are helpful as applications of the theory. Propositions are proved in detail and subsequently applied to Olympic problems or to other problems at the Olympic level.
The book also explores some of the hardest problems presented at National and International Mathematics Olympiads, as well as many essential theorems related to the content. An extensive Appendix offering hints on or full solutions for all difficult problems rounds out the book.
Автор: Caminha Muniz Neto, Antonio Название: Excursion through elementary mathematics, volume ii ISBN: 3319779737 ISBN-13(EAN): 9783319779737 Издательство: Springer Рейтинг: Цена: 46570.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
This book provides a comprehensive, in-depth overview of elementary mathematics as explored in Mathematical Olympiads around the world. It expands on topics usually encountered in high school and could even be used as preparation for a first-semester undergraduate course. This second volume covers Plane Geometry, Trigonometry, Space Geometry, Vectors in the Plane, Solids and much more.
As part of a collection, the book differs from other publications in this field by not being a mere selection of questions or a set of tips and tricks that applies to specific problems. It starts from the most basic theoretical principles, without being either too general or too axiomatic. Examples and problems are discussed only if they are helpful as applications of the theory. Propositions are proved in detail and subsequently applied to Olympic problems or to other problems at the Olympic level.
The book also explores some of the hardest problems presented at National and International Mathematics Olympiads, as well as many essential theorems related to the content. An extensive Appendix offering hints on or full solutions for all difficult problems rounds out the book.
Автор: Martin Loebl; Jaroslav Ne?et?il; Robin Thomas Название: A Journey Through Discrete Mathematics ISBN: 3319444786 ISBN-13(EAN): 9783319444789 Издательство: Springer Рейтинг: Цена: 139750.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This collection of high-quality articles in the field of combinatorics, geometry, algebraic topology and theoretical computer science is a tribute to Jiri Matousek, who passed away prematurely in March 2015.
Автор: Martini, Horst Boltyanski, V.g. Soltan, P.s. Название: Excursions into combinatorial geometry ISBN: 3540613412 ISBN-13(EAN): 9783540613411 Издательство: Springer Рейтинг: Цена: 51200.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Discusses the combinatorial geometry of convex bodies in finite-dimensional spaces. The text includes a general introduction to geometric convexity and investigates d-convexity and H-convexity. Open research problems are considered in detail.
Автор: Ramsey Название: Elementary Co-ordinate Geometry ISBN: 1316612678 ISBN-13(EAN): 9781316612675 Издательство: Cambridge Academ Рейтинг: Цена: 32730.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: First published in 1946, this book was intended to provide students with a sound working knowledge of coordinate geometry. The text contains `a full discussion of the subject up to conics referred to their axes, using both point equations and parametric methods wherever the latter are suitable`. Exercises and examples are also included.
Автор: Klein Название: Elementary Mathematics from a Higher Standpoint ISBN: 3662494434 ISBN-13(EAN): 9783662494431 Издательство: Springer Рейтинг: Цена: 62410.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
These three volumes constitute the first complete English translation of Felix Klein’s seminal series “Elementarmathematik vom h?heren Standpunkte aus”. “Complete” has a twofold meaning here: First, there now exists a translation of volume III into English, while until today the only translation had been into Chinese. Second, the English versions of volume I and II had omitted several, even extended parts of the original, while we now present a complete revised translation into modern English.
The volumes, first published between 1902 and 1908, are lecture notes of courses that Klein offered to future mathematics teachers, realizing a new form of teacher training that remained valid and effective until today: Klein leads the students to gain a more comprehensive and methodological point of view on school mathematics. The volumes enable us to understand Klein’s far-reaching conception of elementarisation, of the “elementary from a higher standpoint”, in its implementation for school mathematics.
This volume II presents a paradigmatic realisation of Klein’s approach of elementarisation for teacher education. It is shown how the various geometries, elaborated particularly since the beginning of the 19th century, are revealed as becoming unified in a new restructured geometry. As Klein liked to stress: “Projective geometry is all geometry”. Non-Euclidean geometry proves to constitute a part of this unifying process. The teaching of geometry is discussed in a separate chapter, which provides moreover important information on the history of geometry teaching and an international comparison.
Автор: Benson Название: Representations of Elementary Abelian p -Groups and Vector Bundles ISBN: 1107174171 ISBN-13(EAN): 9781107174177 Издательство: Cambridge Academ Рейтинг: Цена: 121440.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This is the first book to study representations of elementary abelian groups using vector bundles on projective space. The treatment includes substantial background material from representation theory and algebraic geometry, including an algebraic treatment of the theory of Chern classes.
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