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Synopsis
In a very broad sense, 'spaces' are objects of study in geometry, and 'functions' are objects of study in analysis. There are, however, deep relations between functions defined on a space and the shape of the space, and the study of these relations is the main theme of Morse theory. In particular, its feature is to look at the critical points of a function, and to derive information on the shape of the space from the information about the critical points. Morse theory deals with both finite-dimensional and infinite-dimensional spaces. In particular, it is believed that Morse theory on infinite-dimensional spaces will become more and more important in the future as mathematics advances.This book describes Morse theory for finite dimensions. Finite-dimensional Morse theory has an advantage in that it is easier to present fundamental ideas than in infinite-dimensional Morse theory, which is theoretically more involved. Therefore, finite-dimensional Morse theory is more suitable for beginners to study. On the other hand, finite-dimensional Morse theory has its own significance, not just as a bridge to infinite dimensions. It is an indispensable tool in the topological study of manifolds. That is, one can decompose manifolds into fundamental blocks such as cells and handles by Morse theory, and thereby compute a variety of topological invariants and discuss the shapes of manifolds. These aspects of Morse theory will continue to be a treasure in geometry for years to come. This textbook aims at introducing Morse theory to advanced undergraduates and graduate students. It is the English translation of a book originally published in Japanese.
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An Introduction to Morse Theory (Translations of Mathematical Monographs)
Edité par
American Mathematical Society, 2001
ISBN 10 : 0821810227
ISBN 13 : 9780821810224
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Soft cover. Etat : Fair. No Jacket. Condition : Fair/very usable study copy. Soft cover, no jacket. Former university library copy with associated markings. 219pp. No highlighting or annotations to text. Marks to some pages which do not affect text. Covered in protective laminate. Photo on request. N° de réf. du vendeur 943186
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An Introduction to Morse Theory
Edité par
American Mathematical Society, 2001
ISBN 10 : 0821810227
ISBN 13 : 9780821810224
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Couverture souple
Vendeur : Better World Books, Mishawaka, IN, Etats-Unis
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An Introduction to Morse Theory (Translations of Mathematical Monographs) (Volume 208)
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American Mathematical Society, 2002
ISBN 10 : 0821810227
ISBN 13 : 9780821810224
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Etat : Good. Volume 208. This is an ex-library book and may have the usual library/used-book markings inside.This book has soft covers. In good all round condition. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,350grams, ISBN:9780821810224. N° de réf. du vendeur 9789815
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An Introduction to Morse Theory (Translations of Mathematical Monographs (Iwanami Series in Modern Mathematics))
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American Mathematical Society, AMS, 2002
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ISBN 13 : 9780821810224
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Soft cover. Etat : As New. As new copy. A tight, bright, and clean copy with no inscriptions and no annotations/notes. No creasing to spine/cover or foxing to pages. Fantastic condition book. 219pp. (14.5x21.5cm). Please contact us for any more information. N° de réf. du vendeur 8131
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An Introduction to Morse Theory
Edité par
American Mathematical Society, 2001
ISBN 10 : 0821810227
ISBN 13 : 9780821810224
Neuf
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Vendeur : Kennys Bookshop and Art Galleries Ltd., Galway, GY, Irlande
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Etat : New. In a very broad sense, 'spaces' are objects of study in geometry, and 'functions' are objects of study in analysis. There are, however, deep relations between functions defined on a space and the shape of the space, and the study of these relations is the main theme of Morse theory. This book describes Morse theory for finite dimensions. Series: Translations of Mathematical Monographs Reprint. Num Pages: 232 pages, bibliography, index. BIC Classification: PBKF; PBPD. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 216 x 141 x 13. Weight in Grams: 298. . 2001. Paperback. . . . . N° de réf. du vendeur V9780821810224
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An Introduction to Morse Theory
Edité par
American Mathematical Society, US, 2001
ISBN 10 : 0821810227
ISBN 13 : 9780821810224
Neuf
Paperback
Vendeur : Rarewaves.com UK, London, Royaume-Uni
Évaluation du vendeur 5 sur 5 étoiles
Paperback. Etat : New. In a very broad sense, 'spaces' are objects of study in geometry, and 'functions' are objects of study in analysis. There are, however, deep relations between functions defined on a space and the shape of the space, and the study of these relations is the main theme of Morse theory. In particular, its feature is to look at the critical points of a function, and to derive information on the shape of the space from the information about the critical points. Morse theory deals with both finite-dimensional and infinite-dimensional spaces. In particular, it is believed that Morse theory on infinite-dimensional spaces will become more and more important in the future as mathematics advances.This book describes Morse theory for finite dimensions. Finite-dimensional Morse theory has an advantage in that it is easier to present fundamental ideas than in infinite-dimensional Morse theory, which is theoretically more involved. Therefore, finite-dimensional Morse theory is more suitable for beginners to study. On the other hand, finite-dimensional Morse theory has its own significance, not just as a bridge to infinite dimensions. It is an indispensable tool in the topological study of manifolds. That is, one can decompose manifolds into fundamental blocks such as cells and handles by Morse theory, and thereby compute a variety of topological invariants and discuss the shapes of manifolds. These aspects of Morse theory will continue to be a treasure in geometry for years to come. This textbook aims at introducing Morse theory to advanced undergraduates and graduate students. It is the English translation of a book originally published in Japanese. N° de réf. du vendeur LU-9780821810224
Quantité disponible : 1 disponible(s)
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An Introduction to Morse Theory (Translations of Mathematical Monographs, Volume 208).
Edité par
American Mathematical Society., 2002
ISBN 10 : 0821810227
ISBN 13 : 9780821810224
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kartoniert. Etat : Sehr gut. Zust: Gutes Exemplar. 219 Seiten, mit Abbildungen, Englisch 282g. N° de réf. du vendeur 494392
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An Introduction to Morse Theory
Edité par
American Mathematical Society, US, 2001
ISBN 10 : 0821810227
ISBN 13 : 9780821810224
Neuf
Paperback
Vendeur : Rarewaves.com USA, London, LONDO, Royaume-Uni
Évaluation du vendeur 5 sur 5 étoiles
Paperback. Etat : New. In a very broad sense, 'spaces' are objects of study in geometry, and 'functions' are objects of study in analysis. There are, however, deep relations between functions defined on a space and the shape of the space, and the study of these relations is the main theme of Morse theory. In particular, its feature is to look at the critical points of a function, and to derive information on the shape of the space from the information about the critical points. Morse theory deals with both finite-dimensional and infinite-dimensional spaces. In particular, it is believed that Morse theory on infinite-dimensional spaces will become more and more important in the future as mathematics advances.This book describes Morse theory for finite dimensions. Finite-dimensional Morse theory has an advantage in that it is easier to present fundamental ideas than in infinite-dimensional Morse theory, which is theoretically more involved. Therefore, finite-dimensional Morse theory is more suitable for beginners to study. On the other hand, finite-dimensional Morse theory has its own significance, not just as a bridge to infinite dimensions. It is an indispensable tool in the topological study of manifolds. That is, one can decompose manifolds into fundamental blocks such as cells and handles by Morse theory, and thereby compute a variety of topological invariants and discuss the shapes of manifolds. These aspects of Morse theory will continue to be a treasure in geometry for years to come. This textbook aims at introducing Morse theory to advanced undergraduates and graduate students. It is the English translation of a book originally published in Japanese. N° de réf. du vendeur LU-9780821810224
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An Introduction to Morse Theory
Edité par
American Mathematical Society, 2002
ISBN 10 : 0821810227
ISBN 13 : 9780821810224
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Couverture souple
Vendeur : Leipziger Antiquariat, Leipzig, Allemagne
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Etat : Sehr gut. 10. Auflage. 219 Seiten Zustand: Einband etwas berieben und mit minimalen Randläsuren. Wenige Seiten etwas wellig // Englische Ausgabe. Übersetzt von Kiki Hudson und Masahico Saito. Translations of Mathematical Monographs, Band 208 /// Versand gratis Innerhalb Deutschlands - Portofrei in Deutschland- ab 20 Euro mit Post ID - Gratisversand deutschlandweit innerhalb Deutschlands gratis Versand -Versandkostenfrei innerhalb Deutschlands /// Sprache: Englisch Gewicht in Gramm: 454 21,5 x 14,0 cm, Softcover/Paperback. N° de réf. du vendeur 353655
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An Introduction to Morse Theory
Edité par
American Mathematical Society, 2001
ISBN 10 : 0821810227
ISBN 13 : 9780821810224
Neuf
Couverture souple
Vendeur : Kennys Bookstore, Olney, MD, Etats-Unis
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Etat : New. In a very broad sense, 'spaces' are objects of study in geometry, and 'functions' are objects of study in analysis. There are, however, deep relations between functions defined on a space and the shape of the space, and the study of these relations is the main theme of Morse theory. This book describes Morse theory for finite dimensions. Series: Translations of Mathematical Monographs Reprint. Num Pages: 232 pages, bibliography, index. BIC Classification: PBKF; PBPD. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 216 x 141 x 13. Weight in Grams: 298. . 2001. Paperback. . . . . Books ship from the US and Ireland. N° de réf. du vendeur V9780821810224
Quantité disponible : 1 disponible(s)