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Over the past fifteen years, the geometrical and topological methods of the theory of manifolds have assumed a central role in the most advanced areas of pure and applied mathematics as well as theoretical physics. The three volumes of "Modern Geometry - Methods and Applications" contain a concrete exposition of these methods together with their main applications in mathematics and physics. This third volume, presented in highly accessible languages, concentrates in homology theory. It contains introductions to the contemporary methods for the calculation of homology groups and the classification of manifesto. Both scientists and students of mathematics as well as theoretical physics will find this book to be a valuable reference and text. ... Read more

Customer Reviews (2)

One of the best treatises on geometry/topology available these days!
I first got acquainted with Dubrovin/Novikov/Fomenko collection when I was still a second year (sophomore in the US system) student in Math-Phys
trying to learn the basics on plane/space differential curves as a
complement for my Calculus courses. And since then I've made countless references to this book and its siblings.

The pace is fast compared to
other well known introductions on differential geometry/topology
but the text has many insightful and non-trivial examples
examples. Challenging problems are present everywhere in the text!
Though there are a few problems per chapter, the problems sometimes really
require some mastery of the material being far from immediate
applications of the theory developed(for the joy or despair of the
reader). Intentionally the authors try, whenever possible, to replace calculations and
difficult deductions with conceptual proofs. Frequent links with
physical theories (e.g. mechanics, electromagnetism, general
relativity, field theory etc.) compound a good deal of the text
which makes its reading still more delightful. As a con, I would
say the text is quite hard for a beginner but stubborness pays-off in this case.
The second volume of this series covers differential topology w/ emphasis on many aspects of modern physics, like GR, solitons and Yang-Mills theory. There's also a nice account on complex manifolds, mainly Riemman surfaces and it's relation to Abel's thm. Among other topics: classification of compact surfaces , hyperbolic geometry etc.
The third volume covers Homology theory and included a readable account of Spectral sequences for those who may need to learn the machinery for qualifications exams and or applications of complex geometry to contemporary physics (e.g. twistor theory). Viktor Prasolov has recently published a treatise on Homology with more problems and more rigorous proofs. A nice complement to Novikov's exposition.
Eclectic, but at the same time superb.

You should read this if you can afford the price.
I feel puzzled nobody so far has reviewd this excellent text by Novikov (and Fomenko).The view-point is somewhat different from Bredon or May or Spanier, but together with Part 2, they forma good introduction to"geometric" topology. ... Read more

Product Description
This is an EXACT reproduction of a book published before 1923. This IS NOT an OCR'd book with strange characters, introduced typographical errors, and jumbled words.This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book. ... Read more

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'As Others See Us' is based on a new photographic exhibition from Tricia Malley and Ross Gillespie, who together form the renowned partnership broad daylight. It forms part of Homecoming celebrations of the 250th anniversary of Robert Burns' birth. The exhibition consists of 20 portraits of prominent and influential Scots, including Eddi Reader, Edwin Morgan, Peter Howson and Janice Galloway. The portraits capture a unique insight into the sitter, enhanced by the accompanying text, as each was asked to contribute their favourite poem from Robert Burns, and to explain why it is special to them and what they think it means to Scots today. ... Read more

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This text examines the role of religion in the life of the poet Robert Burns. Incorporating previously unexplored sources, and taking into consideration contemporary work on Burns, and on Scottish literature and history, author J. Walter McGinty presents an account of Burns's personal religion and the factors that helped to form it. McGinty begins by discussing the recurring themes in Burns's religious writings: a belief in a benevolent God; a hankering after, if not a hope, that there might be a life after death; and a sense of his own accountability. He then presents for comparison the religious poetry of two of Burns's contemporaries, William Cowper and Christopher Smart, usefully extending the discussion of Burns beyond the purely Scottish context. Finally, McGinty provides portraits of some of the ministers of "The Church of Scotland's Garland-A New Song", followed by an analysis of Burns's religious poetry. ... Read more

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A selection of Burns' most popular songs and poems. A short introduction gives the main facts of his life and an endpiece on Burns Night provides useful guidance on the traditions of the festival. The text is illustrated with woodcuts and the poems are supported by anecdotes. ... Read more

Product Description
This is a reproduction of a book published before 1923.This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process.We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide.We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book. ... Read more

Product Description
This is a reproduction of a book published before 1923.This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process.We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide.We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book. ... Read more

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Purchase of this book includes free trial access to www.million-books.com where you can read more than a million books for free.This is an OCR edition with typos.Excerpt from book:CHAPTER IIIBORDER AND HIGHLAND TOURS.Some small instalments of the profits of his new volurn.8 enabled our Poet, during the summer and autumn of 1787, to make several tours to various districts of Scotland, famous either for scenery or song. The day of regular touring had not yet set in, and few Scots at that time would have thought of visiting what Burns called the classic scenes of their country. A generation before this, poets in England had led the way in this — as when Gray visited the lakes of Cumberland, and Dr. Johnson the Highlands and the Western Isles. In his ardour to look upon places famous for their natural beauty or their historic associations, or even for their having been mentioned in some old Scottish song, Burns surpassed both Gray and Johnson, and anticipated the sentiment of the present century. Early in May he set out with one of his Crochallan club acquaintances, named Ainslie, on a journey to the Border. Ainslie was a native of the Merse, his father and family living in Dunse. Starting thence with Ainslie, Burns traversed the greater part of the vale of Tweed from Coldstream to Peebles, recalling, as he went along, snatches of song connected with the places he passed. He turned aside to see the valley of the Jed, and got as far as Selkirk in the hope of looking uponYarrow. But from doing this he was hindered by a day of unceasing rain, and he who was so soon to become the chief singer of Scottish song was never allowed to look on that vale which has long been its most ideal home. Before finishing his tour, he went as far as Mthsdale, and surveyed the farm of Ellisland, with some thought already, that he might yet become the tenant of it.It is noteworthy, but not wonderful, that the scenes visited in this, tour called forth no poetry from Burns, ... ... Read more

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This scarce antiquarian book is a selection from Kessinger Publishing's Legacy Reprint Series. Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as part of our commitment to protecting, preserving, and promoting the world's literature. Kessinger Publishing is the place to find hundreds of thousands of rare and hard-to-find books with something of interest for everyone! ... Read more

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In Four Volumes. ... Read more

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1921. The association of the national bard with the brethren of the mystic tie forms one of the most picturesque aspects of the poet's short and interesting career. Burns found much pleasure in the gatherings of the ancient and honorable Fraternity of Free and Accepted Masons and fellows of the Craft, and spent many happy hours in what is described Masonically in Scotland as harmony and elsewhere as the 4th Degree. A goodly number of his acquaintances were Freemasons and it is not too much to say that not a few of them derive any immortality they enjoy by living in the shadow of his fame. ... Read more