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# đź“™ Elementary Topology: Problem Textbook by O. Ya. Viro, O. A. Ivanov, N. Yu. Netsvetaev, and V. M. Kharlamov â€” epub download

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This textbook on elementary topology contains a detailed introduction to general topology and an introduction to algebraic topology via its most classical and elementary segment centered at the notions of fundamental group and covering space. The book is tailored for the reader who is determined to work actively. The proofs of theorems are separated from their formulations and are gathered at the end of each chapter. This makes the book look like a pure problem book and encourages the reader to think through each formulation. A reader who prefers a more traditional style can either find the proofs at the end of the chapter or skip them altogether. This style also caters to the expert who needs a handbook and prefers formulations not overshadowed by proofs. Most of the proofs are simple and easy to discover. The book can be useful and enjoyable for readers with quite different backgrounds and interests. The text is structured in such a way that it is easy to determine what to expect from each piece and how to use it. There is core material, which makes up a relatively small part of the book. The core material is interspersed with examples, illustrative and training problems, and relevant discussions. The reader who has mastered the core material acquires a strong background in elementary topology and will feel at home in the environment of abstract mathematics. With almost no prerequisites (except real numbers), the book can serve as a text for a course on general and beginning algebraic topology.

## About book:

## About file:

Security code:

- Author:
**O. Ya. Viro, O. A. Ivanov, N. Yu. Netsvetaev, and V. M. Kharlamov** - Year:
**2008** - Publisher:
**American Mathematical Society** - Language:
**English** - ISBN:
**0821845063,9780821845066**

- DPI:
**600** - File size:
**5 254 845** - Format:
**djvu**

Security code:

These problems and solutions are offered to students of mathematics who have learned real analysis, measure theory, elementary topology and some theory of topological vector spaces. The current widely used texts in these subjects provide the background fo...

The elementary character of fundamental groups and covering spaces are presented as suitable for introducing algebraic topology. The two topics are treated in separate sections. The focus is on the use of algebraic invariants in topological problems. Appl...

This book gives a general outlook on homotopy theory; fundamental concepts, such as homotopy groups and spectral sequences, are developed from a few axioms and are thus available in a broad variety of contexts. Many examples and applications in topology a...

Synopsis:This book discusses several selected topics of a new emerging area of research on the interface between topology and engineering. The first main topic is topology of configuration spaces of mechanical linkages. These manifolds arise in various fi...

This book is a clear and self-contained introduction to discrete mathematics. Aimed mainly at undergraduate and early graduate students of mathematics and computer science, it is written with the goal of stimulating interest in mathematics and an active, ...

Synopsis:This book discusses several selected topics of a new emerging area of research on the interface between topology and engineering. The first main topic is topology of configuration spaces of mechanical linkages. These manifolds arise in various fi...

In 2006, an eccentric Russian mathematician named Grigori Perelman solved one of the worldâ€™s greatest intellectual puzzles. The Poincare conjecture is an extremely complex topological problem that had eluded the best minds for over a century. In 1998, the...

The new edition of Function of Several Variables is an extensive revision. Like the first edition it presents a thorough introduction to differential and integral calculus, including the integration of differential forms on manifolds. A new chapter ...

It is arguably Confucianism, not Communism, which lies at the core of China's deepest sense of self. Although reviled by Chinese intellectuals of the 1950s-1990s, who spoke of it as "yellow silt clotting the arteries of the country," Confucianism has defi...

This is an unparalleled, first-hand account of the teachings of Paramhansa Yogananda, featuringnearly 500 never-before-released stories, sayings, and insights. This is an extensive, yet eminentlyaccessible treasure trove of wisdom from one of the 20th Cen...

Among the most promising techniques to handle small objects at the micrometer scale are those that employ electrical forces, which have the advantages of voltage-based control and dominance over other forces. The book provides a state-of-the-art knowledge...

This volume is number ten in the 11-volume Handbook of the History of Logic. While there are many examples were a science split from philosophy and became autonomous (such as physics with Newton and biology with Darwin), and while there are, perhaps, topi...

Provides a unique insight into the development and use of liquid moulding processes, with a comprehensive description of the materials, process variants, equipment, control strategies and tooling techniques used across a range of automotive and aerospace ...

A Companion to American Technology is a groundbreaking collection of original essays that analyze the hard-to-define phenomenon of â€śtechnologyâ€ť in America. 22 original essays by expert scholars cover the most important features of American technology, inc...