Если после окончания средней школы Вы планируете поступать на математический факультет в иностранный ВУЗ или Вы просто хотите глубже изучить английский язык, обогатив Ваши знания новыми терминами, наш раздел «английский для математиков» поможет Вам в этом вопросе. Учебник математики на английском языке поможет Вам гораздо более эффективно подготовиться к вступительным экзаменам в иностранный университет, кроме того, многие сертифицированные экзамены на знание английского языка включают в себя разделы, посвященные именно математике, так что уделить время изучению терминов придется и в этом случае. Учебник математики на английском также поможет Вашему ребенку подготовиться к международной олимпиаде по математике. Кроме учебников и сборников тестов, в разделе представлены словари специальных математических терминов.
From the preface of the author: "...I have divided this work into two books; in the first of these I have confined myself to those matters concerning pure analysis. In the second book I have explained those thing which must be known from geometry, since analysis is ordinarily developed in such a way that its application to geometry is shown. In the first book, since all of analysis is concerned with variable quantities and functions of such variables, I have given full treatment to functions. I have also treated the transformation of functions and functions as the sum of infinite series..."
This book describes the construction of algebraic models which represent the operations of the double entry accounting system. It gives a novel, comprehensive, proof based treatment of the topic, using such concepts from abstract algebra as automata, digraphs, monoids and quotient structures.
The present booklet contains some particularly interesting inequalities playing an important role in various sections of higher mathematics. These inequalities are used for finding the greatest and least values as well as for calculating the limits. The booklet contains 63 problems and most of them are provided with detailed solutions.
From the preface of the author: "...I have divided this work into two books; in the first of these I have confined myself to those matters concerning pure analysis. In the second book I have explained those thing which must be known from geometry, since analysis is ordinarily developed in such a way that its application to geometry is shown. In the first book, since all of analysis is concerned with variable quantities and functions of such variables...
This introductory textbook is designed to teach undergraduates the basic ideas and techniques of number theory, with special consideration to the principles of analytic number theory. The first five chapters treat elementary concepts such as divisibility, congruence and arithmetical functions. The topics in the next chapters include Dirichlet's theorem on primes in progressions, Gauss sums, quadratic residues, Dirichlet series, and Euler products with applications to the Riemann zeta function and Dirichlet L-functions. Also included is an introduction to partitions.
This heavily illustrated book collects in one source most of the mathematically simple systems of differential equations whose solutions are chaotic. It includes the historically important systems of van der Pol, Duffing, Ueda, Lorenz, Rössler, and many others, but it goes on to show that there are many other systems that are simpler and more elegant. Many of these systems have been only recently discovered and are not widely known.
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Matrix Methods: Dedicated to the Memory of Gene Golub, Theory, Algorithms and Applications
Compared to other books devoted to matrices, this volume is unique in covering the whole of a triptych consisting of algebraic theory, algorithmic problems and numerical applications, all united by the essential use and urge for development of matrix methods. This was the spirit of the 2nd International Conference on Matrix Methods and Operator Equations from 23 27 July 2007 in Moscow that was organized by Dario Bini, Gene Golub, Alexander Guterman, Vadim Olshevsky, Stefano Serra-Capizzano, Gilbert Strang and Eugene Tyrtyshnikov.