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Foundations of Analysis over Surreal Number Fields - N.L. Alling
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N.L. Alling:

Foundations of Analysis over Surreal Number Fields - neues Buch

ISBN: 9780080872520

ID: 9780080872520

In this volume, a tower of surreal number fields is defined, each being a real-closed field having a canonical formal power series structure and many other higher order properties. Formal versions of such theorems as the Implicit Function Theorem hold over such fields. The Main Theorem states that every formal power series in a finite number of variables over a surreal field has a positive radius of hyper-convergence within which it may be evaluated. Analytic functions of several surreal and surcomplex variables can then be defined and studied. Some first results in the one variable case are derived. A primer on Conway`s field of surreal numbers is also given.Throughout the manuscript, great efforts have been made to make the volume fairly self-contained. Much exposition is given. Many references are cited. While experts may want to turn quickly to new results, students should be able to find the explanation of many elementary points of interest. On the other hand, many new results are given, and much mathematics is brought to bear on the problems at hand. Foundations of Analysis over Surreal Number Fields: In this volume, a tower of surreal number fields is defined, each being a real-closed field having a canonical formal power series structure and many other higher order properties. Formal versions of such theorems as the Implicit Function Theorem hold over such fields. The Main Theorem states that every formal power series in a finite number of variables over a surreal field has a positive radius of hyper-convergence within which it may be evaluated. Analytic functions of several surreal and surcomplex variables can then be defined and studied. Some first results in the one variable case are derived. A primer on Conway`s field of surreal numbers is also given.Throughout the manuscript, great efforts have been made to make the volume fairly self-contained. Much exposition is given. Many references are cited. While experts may want to turn quickly to new results, students should be able to find the explanation of many elementary points of interest. On the other hand, many new results are given, and much mathematics is brought to bear on the problems at hand., Elsevier Science

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Foundations of Analysis over Surreal Number Fields - Alling, N.L.
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Alling, N.L.:

Foundations of Analysis over Surreal Number Fields - neues Buch

4, ISBN: 9780080872520

ID: 101159780080872520

In this volume, a tower of surreal number fields is defined, each being a real-closed field having a canonical formal power series structure and many other higher order properties. Formal versions of such theorems as the Implicit Function Theorem hold over such fields. The Main Theorem states that every formal power series in a finite number of variables over a surreal field has a positive radius of hyper-convergence within which it may be evaluated. Analytic functions of several surreal and sur In this volume, a tower of surreal number fields is defined, each being a real-closed field having a canonical formal power series structure and many other higher order properties. Formal versions of such theorems as the Implicit Function Theorem hold over such fields. The Main Theorem states that every formal power series in a finite number of variables over a surreal field has a positive radius of hyper-convergence within which it may be evaluated. Analytic functions of several surreal and surcomplex variables can then be defined and studied. Some first results in the one variable case are derived. A primer on Conway's field of surreal numbers is also given. Throughout the manuscript, great efforts have been made to make the volume fairly self-contained. Much exposition is given. Many references are cited. While experts may want to turn quickly to new results, students should be able to find the explanation of many elementary points of interest. On the other hand, many new results are given, and much mathematics is brought to bear on the problems at hand. Mathematics, Science & Nature, Foundations of Analysis over Surreal Number Fields~~ Alling, N.L.~~Mathematics~~Science & Nature~~9780080872520, en, Foundations of Analysis over Surreal Number Fields, Alling, N.L., 9780080872520, North Holland, 04/01/1987, , , , North Holland, 04/01/1987

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Foundations Of Analysis Over Surreal Number Fields - Elsevier Science
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Foundations Of Analysis Over Surreal Number Fields - neues Buch

ISBN: 9780080872520

ID: 5539484

In this volume, a tower of surreal number fields is defined, each being a real-closed field having a canonical formal power series structure and many other higher order properties. Formal versions of such theorems as the Implicit Function Theorem hold over such fields. The Main Theorem states that every formal power series in a finite number of variables over a surreal field has a positive. In this volume, a tower of surreal number fields is defined, each being a real-closed field having a canonical formal power series structure and many other higher order properties. Formal versions of such theorems as the Implicit Function Theorem hold over such fields. The Main Theorem states that every formal power series in a finite number of variables over a surreal field has a positive radius of hyper-convergence within which it may be evaluated. Analytic functions of several surreal and surcomplex variables can then be defined and studied. Some first results in the one variable case are derived. A primer on Conway's field of surreal numbers is also given. Throughout the manuscript, great efforts have been made to make the volume fairly self-contained. Much exposition is given. Many references are cited. While experts may want to turn quickly to new results, students should be able to find the explanation of many elementary points of interest. On the other hand, many new results are given, and much mathematics is brought to bear on the problems at hand. eBooks, Science & Geography~~Mathematics, Foundations Of Analysis Over Surreal Number Fields~~EBook~~9780080872520~~N.L. Alling, , Foundations Of Analysis Over Surreal Number Fields, N.L. Alling, 9780080872520, Elsevier Science, 04/01/1987, , , , Elsevier Science

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Foundations of Analysis over Surreal Number Fields - N.L. Alling
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N.L. Alling:
Foundations of Analysis over Surreal Number Fields - neues Buch

ISBN: 9780080872520

ID: 125829848

In this volume, a tower of surreal number fields is defined, each being a real-closed field having a canonical formal power series structure and many other higher order properties. Formal versions of such theorems as the Implicit Function Theorem hold over such fields. The Main Theorem states that every formal power series in a finite number of variables over a surreal field has a positive radius of hyper-convergence within which it may be evaluated. Analytic functions of several surreal and surcomplex variables can then be defined and studied. Some first results in the one variable case are derived. A primer on Conway´s field of surreal numbers is also given.Throughout the manuscript, great efforts have been made to make the volume fairly self-contained. Much exposition is given. Many references are cited. While experts may want to turn quickly to new results, students should be able to find the explanation of many elementary points of interest. On the other hand, many new results are given, and much mathematics is brought to bear on the problems at hand. Foundations of Analysis over Surreal Number Fields eBook eBooks>Fremdsprachige eBooks>Englische eBooks>Sach- & Fachthemen>Mathematik, Elsevier Science

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Foundations of Analysis over Surreal Number Fields
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Foundations of Analysis over Surreal Number Fields - neues Buch

ISBN: 9780080872520

ID: 9780080872520

In this volume, a tower of surreal number fields is defined, each being a real-closed field having a canonical formal power series structure and many other higher order properties. Formal versions of such theorems as the Implicit Function Theorem hold over such fields. The Main Theorem states that every formal power series in a finite number of variables over a surreal field has a positive radius of hyper-convergence within which it may be evaluated. Analytic functions of several surreal and surcomplex variables can then be defined and studied. Some first results in the one variable case are derived. A primer on Conway's field of surreal numbers is also given.Throughout the manuscript, great efforts have been made to make the volume fairly self-contained. Much exposition is given. Many references are cited. While experts may want to turn quickly to new results, students should be able to find the explanation of many elementary points of interest. On the other hand, many new results are given, and much mathematics is brought to bear on the problems at hand. Mathematics and Statistics Media > Ebook > Mathematics and Statistics Mathematics (General) Ebook, North Holland

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Foundations of Analysis over Surreal Number Fields
Autor:

Alling, N.L.

Titel:

Foundations of Analysis over Surreal Number Fields

ISBN-Nummer:

9780080872520

Detailangaben zum Buch - Foundations of Analysis over Surreal Number Fields


EAN (ISBN-13): 9780080872520
Erscheinungsjahr: 4
Herausgeber: North Holland

Buch in der Datenbank seit 16.06.2008 03:36:02
Buch zuletzt gefunden am 01.10.2016 19:34:00
ISBN/EAN: 9780080872520

ISBN - alternative Schreibweisen:
978-0-08-087252-0

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