Softcover ISBN: | 978-0-8284-0141-8 |
Product Code: | CHEL/141 |
List Price: | $69.00 |
MAA Member Price: | $62.10 |
AMS Member Price: | $62.10 |
eBook ISBN: | 978-1-4704-7845-2 |
Product Code: | CHEL/141.E |
List Price: | $65.00 |
MAA Member Price: | $58.50 |
AMS Member Price: | $58.50 |
Softcover ISBN: | 978-0-8284-0141-8 |
eBook: ISBN: | 978-1-4704-7845-2 |
Product Code: | CHEL/141.B |
List Price: | $134.00 $101.50 |
MAA Member Price: | $120.60 $91.35 |
AMS Member Price: | $120.60 $91.35 |
Softcover ISBN: | 978-0-8284-0141-8 |
Product Code: | CHEL/141 |
List Price: | $69.00 |
MAA Member Price: | $62.10 |
AMS Member Price: | $62.10 |
eBook ISBN: | 978-1-4704-7845-2 |
Product Code: | CHEL/141.E |
List Price: | $65.00 |
MAA Member Price: | $58.50 |
AMS Member Price: | $58.50 |
Softcover ISBN: | 978-0-8284-0141-8 |
eBook ISBN: | 978-1-4704-7845-2 |
Product Code: | CHEL/141.B |
List Price: | $134.00 $101.50 |
MAA Member Price: | $120.60 $91.35 |
AMS Member Price: | $120.60 $91.35 |
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Book DetailsAMS Chelsea PublishingVolume: 141; 1951; 173 ppMSC: Primary 26; 01; Secondary 00
Landau's classic book on the foundations of analysis is presented in its original German, with a German-English dictionary as an appendix. One intent of this edition is to provide the English-speaking mathematician with an opportunity to learn some mathematical German. Of course, a pleasant by-product is having Landau's exposition on the construction of the real numbers from the natural numbers using Dedekind cuts. The book is written in an extremely telegraphic style, with few words outside the “Theorem-Proof” motif, making the German notably simpler than in more advanced texts. Thus, the student who begins this book with little or no knowledge of German will gain the experience of successfully reading an entire book in mathematics and with it a feeling for the language and a well-ingrained mathematical vocabulary. (Note: The English edition of the book is available as Foundations of Analysis).
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Table of Contents
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Front Cover
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lnhaltsverzeichnis.
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Preface for the Student
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Preface for the Teacher
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Vorwort für den Lernenden.
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Vorwort für den Kenner.
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Kapitel 1. Natürliche Zahlen.
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§ 1. Axiome.
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§ 2. Addition.
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§ 3. Ordnung.
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§ 4. Multiplikation.
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Kapitel 2. Brüche.
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§ 1. Definition und Äquivalenz.
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§ 2. Ordnung.
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§ 3. Addition.
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§ 4. Multiplikation.
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§ 5. Rationale Zahlen und ganze Zahlen.
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Kapitel 3. Schnitte.
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§ 1. Definition.
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§ 2. Ordnung.
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§ 3. Addition.
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§ 4. Multiplikation.
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§ 5. Rationale Schnitte und ganze Schnitte.
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Kapitel 4. Reelle Zahlen.
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§ 1. Definition.
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§ 2. Ordnung.
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§ 3. Addition.
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§ 4. Multiplikation.
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§ 5. Dedekindscher Hauptsatz.
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Kapitel 5. Komplexe Zahlen.
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§ 1. Definition.
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§ 2. Addition.
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§ 3. Multiplikation.
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§ 4. Subtraktion.
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§ 5. Division.
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§ 6. Konjugierte Zahlen.
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§ 7. Absoluter Betrag.
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§ 8. Summen und Produkte.
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§ 9. Potenzen.
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§ 10. Einordnung der reellen Zahlen.
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German-English Vocabulary
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Back Cover
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Additional Material
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Reviews
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A famous book by one of the most distinguished pure mathematicians of recent times ... can be read by anyone with almost no knowledge of German.
British Journal for the Philosophy of Science
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Reviews
- Requests
Landau's classic book on the foundations of analysis is presented in its original German, with a German-English dictionary as an appendix. One intent of this edition is to provide the English-speaking mathematician with an opportunity to learn some mathematical German. Of course, a pleasant by-product is having Landau's exposition on the construction of the real numbers from the natural numbers using Dedekind cuts. The book is written in an extremely telegraphic style, with few words outside the “Theorem-Proof” motif, making the German notably simpler than in more advanced texts. Thus, the student who begins this book with little or no knowledge of German will gain the experience of successfully reading an entire book in mathematics and with it a feeling for the language and a well-ingrained mathematical vocabulary. (Note: The English edition of the book is available as Foundations of Analysis).
-
Front Cover
-
lnhaltsverzeichnis.
-
Preface for the Student
-
Preface for the Teacher
-
Vorwort für den Lernenden.
-
Vorwort für den Kenner.
-
Kapitel 1. Natürliche Zahlen.
-
§ 1. Axiome.
-
§ 2. Addition.
-
§ 3. Ordnung.
-
§ 4. Multiplikation.
-
Kapitel 2. Brüche.
-
§ 1. Definition und Äquivalenz.
-
§ 2. Ordnung.
-
§ 3. Addition.
-
§ 4. Multiplikation.
-
§ 5. Rationale Zahlen und ganze Zahlen.
-
Kapitel 3. Schnitte.
-
§ 1. Definition.
-
§ 2. Ordnung.
-
§ 3. Addition.
-
§ 4. Multiplikation.
-
§ 5. Rationale Schnitte und ganze Schnitte.
-
Kapitel 4. Reelle Zahlen.
-
§ 1. Definition.
-
§ 2. Ordnung.
-
§ 3. Addition.
-
§ 4. Multiplikation.
-
§ 5. Dedekindscher Hauptsatz.
-
Kapitel 5. Komplexe Zahlen.
-
§ 1. Definition.
-
§ 2. Addition.
-
§ 3. Multiplikation.
-
§ 4. Subtraktion.
-
§ 5. Division.
-
§ 6. Konjugierte Zahlen.
-
§ 7. Absoluter Betrag.
-
§ 8. Summen und Produkte.
-
§ 9. Potenzen.
-
§ 10. Einordnung der reellen Zahlen.
-
German-English Vocabulary
-
Back Cover
-
A famous book by one of the most distinguished pure mathematicians of recent times ... can be read by anyone with almost no knowledge of German.
British Journal for the Philosophy of Science