Fixed Points (Mathematical World)

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9780821890004: Fixed Points (Mathematical World)

The theory of fixed points finds its roots in the work of Poincare, Brouwer, and Sperner and makes extensive use of such topological notions as continuity, compactness, homotopy, and the degree of a mapping. Fixed point theorems have numerous applications in mathematics; most of the theorems ensuring the existence of solutions for differential, integral, operator, or other equations can be reduced to fixed point theorems. In addition, these theorems are used in such areas as mathematical economics and game theory. This book presents a readable exposition of fixed point theory. The author focuses on the problem of whether a closed interval, square, disk, or sphere has the fixed point property. Another aim of the book is to show how fixed point theory uses combinatorial ideas related to decomposition (triangulation) of figures into distinct parts called faces (simplexes), which adjoin each other in a regular fashion. All necessary background concepts - such as continuity, compactness, degree of a map, and so on - are explained, making the book accessible even to students at the high school level. In addition, the book contains exercises and descriptions of applications.

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Language Notes:

Text: English (translation)
Original Language: Russian

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Yu A. Shashkin
Editore: American Mathematical Society, United States (1991)
ISBN 10: 082189000X ISBN 13: 9780821890004
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Descrizione libro American Mathematical Society, United States, 1991. Paperback. Condizione libro: New. UK ed.. Language: English . Brand New Book. The theory of fixed points finds its roots in the work of Poincare, Brouwer, and Sperner and makes extensive use of such topological notions as continuity, compactness, homotopy, and the degree of a mapping. Fixed point theorems have numerous applications in mathematics; most of the theorems ensuring the existence of solutions for differential, integral, operator, or other equations can be reduced to fixed point theorems. In addition, these theorems are used in such areas as mathematical economics and game theory. This book presents a readable exposition of fixed point theory. The author focuses on the problem of whether a closed interval, square, disk, or sphere has the fixed point property.Another aim of the book is to show how fixed point theory uses combinatorial ideas related to decomposition (triangulation) of figures into distinct parts called faces (simplexes), which adjoin each other in a regular fashion. All necessary background concepts - such as continuity, compactness, degree of a map, and so on - are explained, making the book accessible even to students at the high school level. In addition, the book contains exercises and descriptions of applications. Readers will appreciate this book for its lucid presentation of this fundamental mathematical topic. Codice libro della libreria AAN9780821890004

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Yu A. Shashkin
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Descrizione libro American Mathematical Society, 1991. PAP. Condizione libro: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Codice libro della libreria CE-9780821890004

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Descrizione libro Ameican Mathematical Society, 1991. Paperback. Condizione libro: New. Brand new. We distribute directly for the publisher. The theory of fixed points finds its roots in the work of Poincaré, Brouwer, and Sperner and makes extensive use of such topological notions as continuity, compactness, homotopy, and the degree of a mapping. Fixed point theorems have numerous applications in mathematics; most of the theorems ensuring the existence of solutions for differential, integral, operator, or other equations can be reduced to fixed point theorems. In addition, these theorems are used in such areas as mathematical economics and game theory.This book presents a readable exposition of fixed point theory. The author focuses on the problem of whether a closed interval, square, disk, or sphere has the fixed point property. Another aim of the book is to show how fixed point theory uses combinatorial ideas related to decomposition (triangulation) of figures into distinct parts called faces (simplexes), which adjoin each other in a regular fashion. All necessary background concepts--such as continuity, compactness, degree of a map, and so on--are explained, making the book accessible even to students at the high school level. In addition, the book contains exercises and descriptions of applications. Readers will appreciate this book for its lucid presentation of this fundamental mathematical topic. Codice libro della libreria 1005130077

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Yu A. Shashkin
Editore: American Mathematical Society, United States (1991)
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Descrizione libro American Mathematical Society, United States, 1991. Paperback. Condizione libro: New. UK ed.. Language: English . Brand New Book. The theory of fixed points finds its roots in the work of Poincare, Brouwer, and Sperner and makes extensive use of such topological notions as continuity, compactness, homotopy, and the degree of a mapping. Fixed point theorems have numerous applications in mathematics; most of the theorems ensuring the existence of solutions for differential, integral, operator, or other equations can be reduced to fixed point theorems. In addition, these theorems are used in such areas as mathematical economics and game theory. This book presents a readable exposition of fixed point theory. The author focuses on the problem of whether a closed interval, square, disk, or sphere has the fixed point property.Another aim of the book is to show how fixed point theory uses combinatorial ideas related to decomposition (triangulation) of figures into distinct parts called faces (simplexes), which adjoin each other in a regular fashion. All necessary background concepts - such as continuity, compactness, degree of a map, and so on - are explained, making the book accessible even to students at the high school level. In addition, the book contains exercises and descriptions of applications. Readers will appreciate this book for its lucid presentation of this fundamental mathematical topic. Codice libro della libreria AAN9780821890004

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Descrizione libro Amer Mathematical Society, 1991. Paperback. Condizione libro: Brand New. 86 pages. 10.00x7.00x0.25 inches. In Stock. Codice libro della libreria __082189000X

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Descrizione libro Amer Mathematical Society, 1991. Paperback. Condizione libro: New. First Printing. Codice libro della libreria DADAX082189000X

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Descrizione libro Amer Mathematical Society, 1991. Paperback. Condizione libro: New. Codice libro della libreria SONG082189000X

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Descrizione libro Condizione libro: Brand New. Book Condition: Brand New. Codice libro della libreria 97808218900041.0

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Descrizione libro Amer Mathematical Society, 1991. Paperback. Condizione libro: New. Codice libro della libreria P11082189000X

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Descrizione libro Amer Mathematical Society. PAPERBACK. Condizione libro: New. 082189000X New Condition. Codice libro della libreria NEW6.0970507

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