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Concise Introduction to Pure Mathematics, Liebeck Martin


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Автор: Liebeck Martin
Название:  Concise Introduction to Pure Mathematics
Перевод названия: Мартин Либек: Краткое введение в чистую математику
ISBN: 9781498722926
Издательство: Taylor&Francis
Классификация:
ISBN-10: 149872292X
Обложка/Формат: Paperback
Страницы: 317
Вес: 0.49 кг.
Дата издания: 03.11.2015
Язык: English
Издание: 4 ed
Иллюстрации: 37 illustrations, black and white
Размер: 160 x 234 x 18
Читательская аудитория: Tertiary education (us: college)
Ключевые слова: Set theory, MATHEMATICS / General,MATHEMATICS / Set Theory
Ссылка на Издательство: Link
Рейтинг:
Поставляется из: Европейский союз
Описание:

Accessible to all students with a sound background in high school mathematics, A Concise Introduction to Pure Mathematics, Fourth Edition presents some of the most fundamental and beautiful ideas in pure mathematics. It covers not only standard material but also many interesting topics not usually encountered at this level, such as the theory of solving cubic equations; Eulers formula for the numbers of corners, edges, and faces of a solid object and the five Platonic solids; the use of prime numbers to encode and decode secret information; the theory of how to compare the sizes of two infinite sets; and the rigorous theory of limits and continuous functions.

New to the Fourth Edition

  • Two new chapters that serve as an introduction to abstract algebra via the theory of groups, covering abstract reasoning as well as many examples and applications
  • New material on inequalities, counting methods, the inclusion-exclusion principle, and Eulers phi function
  • Numerous new exercises, with solutions to the odd-numbered ones

Through careful explanations and examples, this popular textbook illustrates the power and beauty of basic mathematical concepts in number theory, discrete mathematics, analysis, and abstract algebra. Written in a rigorous yet accessible style, it continues to provide a robust bridge between high school and higher-level mathematics, enabling students to study more advanced courses in abstract algebra and analysis.




      Старое издание

Conceptual Mathematics

Автор: F. William Lawvere
Название: Conceptual Mathematics
ISBN: 052171916X ISBN-13(EAN): 9780521719162
Издательство: Cambridge Academ
Рейтинг:
Цена: 7762.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: Conceptual Mathematics introduces the concept of category to beginning students and practising mathematical scientists based on a leisurely introduction to the important categories of directed graphs and discrete dynamical systems. The expanded second edition approaches more advanced topics via historical sketches and a concise introduction to adjoint functors.

Logic and Discrete Mathematics: A Concise Introduction

Автор: Willem Conradie,Valentin Goranko
Название: Logic and Discrete Mathematics: A Concise Introduction
ISBN: 1118751272 ISBN-13(EAN): 9781118751275
Издательство: Wiley
Рейтинг:
Цена: 6170.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: A concise yet rigorous introduction to logic and discrete mathematics.

Logic and Discrete Mathematics: A Concise Introduction, Solutions Manual

Автор: Willem Conradie,Valentin Goranko,Claudette Robinso
Название: Logic and Discrete Mathematics: A Concise Introduction, Solutions Manual
ISBN: 1118762673 ISBN-13(EAN): 9781118762677
Издательство: Wiley
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Цена: 2685.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: Solutions manual to accompany

Introduction to error analysis

Автор: Taylor, John R.
Название: Introduction to error analysis
ISBN: 093570275X ISBN-13(EAN): 9780935702750
Издательство: Springer
Рейтинг:
Цена: 6986.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: The need for error analysis is captured in the book`s arresting cover shot - of the 1895 Paris train disaster (also available as a wall poster). The early chapters teach elementary techniques of error propagation and statistical analysis to enable students to produce successful lab reports.

An Introduction to Non-Classical Logic

Автор: Graham Priest
Название: An Introduction to Non-Classical Logic
ISBN: 0521854334 ISBN-13(EAN): 9780521854337
Издательство: Cambridge Academ
Рейтинг:
Цена: 14890.00 р.
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Описание: This revised and considerably expanded 2nd edition brings together a wide range of topics, including modal, tense, conditional, intuitionist, many-valued, paraconsistent, relevant, and fuzzy logics. All of the topics are explained clearly using devices such as tableau proofs, and their relation to current philosophical issues are explained.

Ordered Sets / An Introduction

Автор: SchrГ¶der Bernd
Название: Ordered Sets / An Introduction
ISBN: 0817641289 ISBN-13(EAN): 9780817641283
Издательство: Springer
Рейтинг:
Цена: 8378.00 р.
Наличие на складе: Поставка под заказ.

Описание: This work is an introduction to the basic tools of the theory of (partially) ordered sets such as visualization via diagrams, subsets, homomorphisms, important order-theoretical constructions, and classes of ordered sets. Using a thematic approach, the author presents open or recently solved problems to motivate the development of constructions and investigations for new classes of ordered sets. A wide range of material is presented, from classical results such as Dilworth's, Szpilrajn's and Hashimoto's Theorems to more recent results such as the Li--Milner Structure Theorem. Major topics covered include: chains and antichains, lowest upper and greatest lower bounds, retractions, lattices, the dimension of ordered sets, interval orders, lexicographic sums, products, enumeration, algorithmic approaches and the role of algebraic topology. Since there are few prerequisites, the text can be used as a focused follow-up or companion to a first proof (set theory and relations) or graph theory class. After working through a comparatively lean core, the reader can choose from a diverse range of topics such as structure theory, enumeration or algorithmic aspects. Also presented are some key topics less customary to discrete mathematics/graph theory, including a concise introduction to homology for graphs, and the presentation of forward checking as a more efficient alternative to the standard backtracking algorithm. The coverage throughout provides a solid foundation upon which research can be started by a mathematically mature reader. Rich in exercises, illustrations, and open problems, Ordered Sets: An Introduction is an excellent text for undergraduate and graduate students and a good resource for the interested researcher. Readers will discover order theory's role in discrete mathematics as a supplier of ideas as well as an attractive source of applications.


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