Introduction to Commutative Algebra is a well-known commutative algebra textbook written by Michael Atiyah and Ian G. Macdonald. It deals with elementary concepts of commutative algebra including localization, primary decomposition, integral dependence, Noetherian and Artinian rings and modules, Dedekind rings, completions and a moderate amount of dimension theory. It is notable for being among the shorter English-language introductory textbooks in the subject, relegating a good deal of material to the exercises.

The authors provide a review of the necessary background mathematical techniques and offer an overview of the basic concepts in estimation. They then provide detailed treatments of all the major issues in estimation with a focus on applying these techniques to real systems.

This is the first attempt to collect published and unpublished results on incline algebra, which encompasses Boolean algebra and fuzzy algebra. In order to read this monograph, the reader should have had the usual first year graduate courses in mathematics plus an elementary knowledge of combinatorial theory, graph theory, lattice theory, matrix theory (including the Boolean and fuzzy cases), semi-group theory, and semiring theory.

Maple is a Symbolic Computation System or Computer Algebra System. Maple manipulates information in a symbolic or algebraic manner. Other conventional mathematical programs require numerical values for all variables. In contrast, Maple maintains and manipulates the underlying symbols and expressions, and evaluates numerical expressions.

This book arose from a series of courses on computer algebra which were given at Eindhoven Technical University. Its chapters present a variety of topics in computer algebra at an accessible (upper undergraduate/graduate) level with a view towards recentdevelopments. For those wanting to acquaint themselves somewhat further with the material, the book also contains seven 'projects', which could serve as practical sessions related to one or more chapters. The contributions focus on topics like Gröbner bases, real algebraic geometry, Lie algebras, factorisation of polynomials, integer programming, permutation groups, differential equations, coding theory, automatic theorem proving, and polyhedral geometry. This book is a must-read for everybody interested in computer algebra.

Computer algebra systems are gaining more and more importance in all areas of science and engineering. This textbook gives a thorough introduction to the algorithmic basis of the mathematical engine in computer algebra systems. It is designed to accompany one- or two-semester courses for advanced undergraduate or graduate students in computer science or mathematics. Its comprehensiveness and authority make it also an essential reference for professionals in the area.

Vol. 1 : Ab - Cy. - 214 p.

This introduction to numerical analysis shows how the mathematics of calculus and linear algebra are implemented in computer algorithms. It develops a deep understanding of why numerical methods work and exactly what their limitations are.

У теории групп три исторических корня: теория алгебраических уравнений, теория чисел и геометрия. Математики, стоящие у истоков теории групп, — это Леонард Эйлер, Карл Фридрих Гаусс, Жозеф Луи Лагранж, Нильс Хенрик Абель и Эварист Галуа. Галуа был первым математиком, связавшим теорию групп с другой ветвью абстрактной алгебры — теорией полей, разработав теорию, ныне называемую теорией Галуа.

This new set helps students better understand commonly studied math concepts by illustrating their use in everyday life. Everyday tasks are designed to support the modern mathematics curriculum and contain examples related to the global economy. Grade 6-9-From concept to copyediting, this unwieldy survey of applied mathematics falls short in nearly every aspect. Each of the 80 alphabetically arranged chapters, from Addition to Zero-Sum Games, takes on a curriculum-centered topic. They open with a definition, close with a brief list of further sources, and in between quickly lay out fundamental terms and ideas, historical background, and descriptions of Real-life Applications. The latter often include word (rarely number) examples, but also tend to be nonspecific, if not outright simplistic; online purchasing over a secure connection is safe, for instance, because hackers can't decode the content even if they somehow manage to intercept the message somehow. Under Algebra, the entry on making tradeoffs between lifespan and voltage when Buying Light Bulbs assumes that small variations in voltage are an option. In addition, despite substantial duplication of topics, there are no see references to connect related entries, such as those for carbon dating or sports wagering. Printed in two large volumes of dense, double-columned, seldom-illustrated text, this is less likely than the textbooks that it is supposed to compliment.

From absolute value to Zeno's paradox, Sidebotham (mathematics, St. Bede's College, New Zealand) offers entries of three types: processes that explain specific skills (such as algebra), definitions of words with applications (such as proportion), and enrichment material, for entertainment (such as hexomino. The alphabetical arrangement of entries is intended to make the book a useful reference for general readers, but a well-indexed thematically arranged text might have succeeded better as an antidote to "math anxiety," which the author states as his goal.

Методичний посібник зроблений для студентів та викладачів

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Взагалі книжка подана в яскравому світлі. Великі, броскі іллюстрації, вірші легко запам`ятовуються , в кінці книжки яскравий англійський алфавіт. Багатоманітність кольорів, незнайомі тваринки обов’язково cподобаються малюку. Та й подарунок це чудовий, особливо якщо це буде перша абетка в житті! Ця книга здобула ряд перемог на престижних книжкових конкурсах: "Найкраще дитяче видання 1999 р." на конкурсі "Книга року"; ґран-прі Івана Федорова конкурсу "Мистецтво книги"; 1-шу премію Форуму видавців України (1999) та ін. Проілюстрував книгу Кость Лавро - один із найталановитіших українських книжкових графіків.

Сборник переводов с английского и французского.

В учебном пособии рассмотрены основные уравнения математической физики, особенности задания граничных и начальных условий, методы дискретизации дифференциальных уравнений в частных производных, методы решения систем алгебраических уравнений, представлены основные этапы решения задач матфизики, включая постановку задачи, выбор базиса переменных, метода дискретизации, формирование координатной сетки, выбор шаблона, метода решения, анализ сходимости и др.