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Faszinierende Grundstrukturen Der Mathematik: Mit Strenger Axiomatik Zu Einem Tragfähigen Gefüge
Hardcover
Publisher Price: $39.99
PREORDER - Expected ship date February 18, 2027
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ISBN10: 3662736403
ISBN13: 9783662736401
Publisher: Springer
Published: Feb 18 2027
Pages: 413
Language: German
ISBN13: 9783662736401
Publisher: Springer
Published: Feb 18 2027
Pages: 413
Language: German
In diesem Buch entdeckst du den fundamentalen Aufbau der abstrakten Mathematik: Von den formalen Grundlagen - Logik, Mengen, Zahlbereiche - zu den mathematischen Grundstrukturen, die heute die tragenden Säulen der meisten mathematischen Disziplinen bilden. Anhand einprägsamer Paradoxa, Beispiele und ergänzender Erklärungen erfährst du, warum dabei die übliche mathematische Axiomatik und Strenge unabdingbar ist. Danach öffnen sich dir spannende Ausblicke in verschiedene Gebiete wie Analysis, Stochastik und Algebra - Blitzlichter aus diesen Bereichen zeigen dir, wie sich die Grundideen und -strukturen in unterschiedlichen Kontexten entfalten und wie sie miteinander verbunden sind.
Das Buch richtet sich an dich, wenn du das beeindruckende Gebäude der Mathematik in seinem Wesen verstehen möchtest. Du musst weder ein Überflieger in Mathe sein noch Mathematik studieren, um dieses Buch lesen zu können - die Lektüre ist zugänglich, spannend und aufschlussreich gestaltet. Allerdings solltest du (neben grundsätzlichem Interesse am Thema) mathematische Vorkenntnisse bis einschlie lich der schulischen Oberstufe mitbringen, da das Buch auf höherem Abstraktionsniveau an diese anknüpft. Solltest du tatsächlich Mathematik studieren (oder darüber nachdenken, dies zu tun) hilft dir das Buch, das Gelernte aus verschiedenen Modulen des Studiums zu verbinden; falls du auf Lehramt studierst oder bereits unterrichtest, kann es dir zudem neue kreative Impulse zur Weitergabe an jüngere Generationen liefern.
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