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Algebraic Inequalities, Hayk Sedrakyan; Nairi Sedrakyan


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Автор: Hayk Sedrakyan; Nairi Sedrakyan
Название:  Algebraic Inequalities
ISBN: 9783030085513
Издательство: Springer
Классификация:



ISBN-10: 3030085511
Обложка/Формат: Soft cover
Страницы: 243
Вес: 0.40 кг.
Дата издания: 2018
Серия: Problem Books in Mathematics
Язык: English
Издание: Softcover reprint of
Иллюстрации: XIII, 243 p.
Размер: 234 x 156 x 14
Читательская аудитория: General (us: trade)
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: This unique collection of new and classical problems provides full coverage of algebraic inequalities. Many of the exercises are presented with detailed author-prepared-solutions, developing creativity and an arsenal of new approaches for solving mathematical problems. Algebraic Inequalities can be considered a continuation of the book Geometric Inequalities: Methods of Proving by the authors. This book can serve teachers, high-school students, and mathematical competitors. It may also be used as supplemental reading, providing readers with new and classical methods for proving algebraic inequalities.
Дополнительное описание: Basic Inequalities and their Applications.- Strum's Method.- The HM-GM-AM-QM Inequalities.- Cauchy-Bunyakovsky-Schwarz Inequality.- Change of Variable(s) Method.- Symmetry and Homogeneity.- The Principle of Mathematical Introduction.- One Useful Inequalit



Algebraic topology

Автор: Hatcher A.
Название: Algebraic topology
ISBN: 0521795400 ISBN-13(EAN): 9780521795401
Издательство: Cambridge Academ
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Цена: 6018.00 р.
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Описание: An introductory textbook suitable for use in a course or for self-study, featuring broad coverage of the subject and a readable exposition, with many examples and exercises.

General Inequalities 7

Автор: Catherine Bandle; William N. Everitt; Laszlo Loson
Название: General Inequalities 7
ISBN: 3764357223 ISBN-13(EAN): 9783764357221
Издательство: Springer
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Цена: 23751.00 р.
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Описание: The study of inequalities reflects the many and various aspects of mathematics. There are numerous applications in a wide variety of fields, from mathematical physics to biology and economics. This title contains the proceedings of the General Inequalities 7 meeting held at Oberwolfach in November 1995.

Geometric Inequalities

Автор: Yurii D. Burago; A.B. Sossinsky; Viktor A. Zalgall
Название: Geometric Inequalities
ISBN: 3642057241 ISBN-13(EAN): 9783642057243
Издательство: Springer
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Цена: 16764.00 р.
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Описание: A 1988 classic, covering Two-dimensional Surfaces; Domains on the Plane and on Surfaces; Brunn-Minkowski Inequality and Classical Isoperimetric Inequality; Isoperimetric Inequalities for Various Definitions of Area; and Inequalities Involving Mean Curvature.

Geometric Inequalities

Автор: Leng Gangsong
Название: Geometric Inequalities
ISBN: 981470413X ISBN-13(EAN): 9789814704137
Издательство: World Scientific Publishing
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Цена: 6336.00 р.
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Описание:

In China, lots of excellent maths students take an active interest in various maths contests and the best six senior high school students will be selected to form the IMO National Team to compete in the International Mathematical Olympiad. In the past ten years China's IMO Team has achieved outstanding results -- they won the first place almost every year.

The author is one of the coaches of China's IMO National Team, whose students have won many gold medals many times in IMO.

This book is part of the Mathematical Olympiad Series which discusses several aspects related to maths contests, such as algebra, number theory, combinatorics, graph theory and geometry. The book elaborates on Geometric Inequality problems such as inequality for the inscribed quadrilateral, the area inequality for special polygons, linear geometric inequalities, etc.

Variational Inequalities and Frictional Contact Problems

Автор: Anca Capatina
Название: Variational Inequalities and Frictional Contact Problems
ISBN: 3319101625 ISBN-13(EAN): 9783319101620
Издательство: Springer
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Цена: 13974.00 р.
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Описание: Variational Inequalities and Frictional Contact Problems contains a carefully selected collection of results on elliptic and evolutionary quasi-variational inequalities including existence, uniqueness, regularity, dual formulations, numerical approximations and error estimates ones.

Variational Inequalities and Frictional Contact Problems

Автор: Anca Capatina
Название: Variational Inequalities and Frictional Contact Problems
ISBN: 3319357352 ISBN-13(EAN): 9783319357355
Издательство: Springer
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Цена: 13974.00 р.
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Описание: Variational Inequalities and Frictional Contact Problems contains a carefully selected collection of results on elliptic and evolutionary quasi-variational inequalities including existence, uniqueness, regularity, dual formulations, numerical approximations and error estimates ones.

General Inequalities 7

Автор: Catherine Bandle; William N. Everitt; Laszlo Loson
Название: General Inequalities 7
ISBN: 3034898371 ISBN-13(EAN): 9783034898379
Издательство: Springer
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Цена: 13974.00 р.
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Описание: Inequalities continue to play an essential role in mathematics. Since the seminal work Inequalities (1934) of Hardy, Littlewood and P6lya mathematicians have laboured to extend and sharpen the earlier classical inequalities.

Geometric Inequalities

Автор: Leng Gangsong
Название: Geometric Inequalities
ISBN: 981469648X ISBN-13(EAN): 9789814696487
Издательство: World Scientific Publishing
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Цена: 3326.00 р.
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Описание:

In China, lots of excellent maths students take an active interest in various maths contests and the best six senior high school students will be selected to form the IMO National Team to compete in the International Mathematical Olympiad. In the past ten years China's IMO Team has achieved outstanding results -- they won the first place almost every year.

The author is one of the coaches of China's IMO National Team, whose students have won many gold medals many times in IMO.

This book is part of the Mathematical Olympiad Series which discusses several aspects related to maths contests, such as algebra, number theory, combinatorics, graph theory and geometry. The book elaborates on Geometric Inequality problems such as inequality for the inscribed quadrilateral, the area inequality for special polygons, linear geometric inequalities, etc.

Graphs for Pattern Recognition: Infeasible Systems of Linear Inequalities

Автор: Damir Gainanov
Название: Graphs for Pattern Recognition: Infeasible Systems of Linear Inequalities
ISBN: 3110480131 ISBN-13(EAN): 9783110480139
Издательство: Walter de Gruyter
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Цена: 18586.00 р.
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Описание: This monograph deals with mathematical constructions that are foundational in such an important area of data mining as pattern recognition. By using combinatorial and graph theoretic techniques, a closer look is taken at infeasible systems of linear inequalities, whose generalized solutions act as building blocks of geometric decision rules for pattern recognition.Infeasible systems of linear inequalities prove to be a key object in pattern recognition problems described in geometric terms thanks to the committee method. Such infeasible systems of inequalities represent an important special subclass of infeasible systems of constraints with a monotonicity property - systems whose multi-indices of feasible subsystems form abstract simplicial complexes (independence systems), which are fundamental objects of combinatorial topology.The methods of data mining and machine learning discussed in this monograph form the foundation of technologies like big data and deep learning, which play a growing role in many areas of human-technology interaction and help to find solutions, better solutions and excellent solutions. Contents: PrefacePattern recognition, infeasible systems of linear inequalities, and graphsInfeasible monotone systems of constraintsComplexes, (hyper)graphs, and inequality systemsPolytopes, positive bases, and inequality systemsMonotone Boolean functions, complexes, graphs, and inequality systemsInequality systems, committees, (hyper)graphs, and alternative coversBibliographyList of notationIndex

Diophantine Equations and Inequalities in Algebraic Number Fields

Автор: Yuan Wang
Название: Diophantine Equations and Inequalities in Algebraic Number Fields
ISBN: 3642634893 ISBN-13(EAN): 9783642634895
Издательство: Springer
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Цена: 6986.00 р.
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Описание: The circle method has its genesis in a paper of Hardy and Ramanujan (see Hardy 1])in 1918concernedwiththepartitionfunction andtheproblemofrep- resenting numbers as sums ofsquares. Later, in a series of papers beginning in 1920entitled "some problems of'partitio numerorum''', Hardy and Littlewood (see Hardy 1]) created and developed systematically a new analytic method, the circle method in additive number theory. The most famous problems in ad- ditive number theory, namely Waring's problem and Goldbach's problem, are treated in their papers. The circle method is also called the Hardy-Littlewood method. Waring's problem may be described as follows: For every integer k 2 2, there is a number s= s( k) such that every positive integer N is representable as (1) where Xi arenon-negative integers. This assertion wasfirst proved by Hilbert 1] in 1909. Using their powerful circle method, Hardy and Littlewood obtained a deeper result on Waring's problem. They established an asymptotic formula for rs(N), the number of representations of N in the form (1), namely k 1 provided that 8 2 (k - 2)2 - +5. Here

The theory of quantum information

Автор: Watrous, John (university Of Waterloo, Ontario)
Название: The theory of quantum information
ISBN: 1107180562 ISBN-13(EAN): 9781107180567
Издательство: Cambridge Academ
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Цена: 11563.00 р.
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Описание: Intended for graduate students and researchers, this book presents a formal development of the mathematical theory of quantum information. Largely self-contained, with clear proofs and a wide range of exercises, it will help the reader grasp the fundamental facts and techniques that form the mathematical foundations of the subject.

Hardy Inequalities on Homogeneous Groups: 100 Years of Hardy Inequalities

Автор: Ruzhansky Michael, Suragan Durvudkhan
Название: Hardy Inequalities on Homogeneous Groups: 100 Years of Hardy Inequalities
ISBN: 3030028941 ISBN-13(EAN): 9783030028947
Издательство: Springer
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Цена: 6986.00 р.
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Описание: This open access book provides an extensive treatment of Hardy inequalities and closely related topics from the point of view of Folland and Stein's homogeneous (Lie) groups. The place where Hardy inequalities and homogeneous groups meet is a beautiful area of mathematics with links to many other subjects. While describing the general theory of Hardy, Rellich, Caffarelli-Kohn-Nirenberg, Sobolev, and other inequalities in the setting of general homogeneous groups, the authors pay particular attention to the special class of stratified groups. In this environment, the theory of Hardy inequalities becomes intricately intertwined with the properties of sub-Laplacians and subelliptic partial differential equations. These topics constitute the core of this book and they are complemented by additional, closely related topics such as uncertainty principles, function spaces on homogeneous groups, the potential theory for stratified groups, and the potential theory for general H?rmander's sums of squares and their fundamental solutions. This monograph is the winner of the 2018 Ferran Sunyer i Balaguer Prize, a prestigious award for books of expository nature presenting the latest developments in an active area of research in mathematics. As can be attested as the winner of such an award, it is a vital contribution to literature of analysis not only because it presents a detailed account of the recent developments in the field, but also because the book is accessible to anyone with a basic level of understanding of analysis. Undergraduate and graduate students as well as researchers from any field of mathematical and physical sciences related to analysis involving functional inequalities or analysis of homogeneous groups will find the text beneficial to deepen their understanding.


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