Robert André – författare & böcker

Set Theory

An Introduction to Axiomatic Reasoning

Inbunden, Engelska, 2025

1 340 kr

Skickas inom 10-15 vardagar

Contemporary students of mathematics differ considerably from those of half a century ago. In spite of this, many textbooks written decades ago, and now considered to be “classics”, are still prescribed for students today. These texts are not suitable for today’s students. This text is meant for and written to today’s mathematics students. Set theory is a pure mathematics endeavor in the sense that it seems to have no immediate applications; yet the knowledge and skills developed in such a course can easily branch out to various fields of both pure mathematics and applied mathematics.Rather than transforming the reader into a practicing mathematician, this book is more designed to initiate the reader to what may be called “mathematical thinking” while developing knowledge about foundations of modern mathematics. Without this insight, becoming a practicing mathematician is much more daunting.The main objective is twofold. The students will develop some fundamental understanding of the foundations of mathematics and elements of set theory, in general. In the process, the student will develop skills in proving simple mathematical statements with “mathematical rigor”.Carefully presented detailed proofs and rigorous chains of logical arguments will guide the students from the fundamental ZFC-axioms and definitions to show why a basic mathematical statement must hold true. The student will recognize the role played by each fundamental axiom in development of modern mathematics. The student will learn to distinguish between a correct mathematical proof and an erroneous one. The subject matter is presented while bypassing the complexities encountered when using formal logic.

Set Theory

An Introduction to Axiomatic Reasoning

AvRobert Andre

E-bok

PDF, Engelska, 2025

1 541 kr

Läs direkt efter köp

Contemporary students of mathematics differ considerably from those of half a century ago. In spite of this, many textbooks written decades ago, and now considered to be “classics”, are still prescribed for students today. These texts are not suitable for today’s students. This text is meant for and written to today’s mathematics students.

Set theory is a pure mathematics endeavor in the sense that it seems to have no immediate applications; yet the knowledge and skills developed in such a course can easily branch out to various fields of both pure mathematics and applied mathematics.

Rather than transforming the reader into a practicing mathematician, this book is more designed to initiate the reader to what may be called “mathematical thinking” while developing knowledge about foundations of modern mathematics. Without this insight, becoming a practicing mathematician is much more daunting.

The main objective is twofold. The students will develop some fundamental understanding of the foundations of mathematics and elements of set theory, in general. In the process, the student will develop skills in proving simple mathematical statements with “mathematical rigor”.

Carefully presented detailed proofs and rigorous chains of logical arguments will guide the students from the fundamental ZFC-axioms and definitions to show why a basic mathematical statement must hold true. The student will recognize the role played by each fundamental axiom in development of modern mathematics. The student will learn to distinguish between a correct mathematical proof and an erroneous one. The subject matter is presented while bypassing the complexities encountered when using formal logic.

Set Theory

An Introduction to Axiomatic Reasoning

AvRobert Andre

E-bok

Engelska, 2025

1 541 kr

Läs direkt efter köp

Contemporary students of mathematics differ considerably from those of half a century ago. In spite of this, many textbooks written decades ago, and now considered to be “classics”, are still prescribed for students today. These texts are not suitable for today’s students. This text is meant for and written to today’s mathematics students.

Set theory is a pure mathematics endeavor in the sense that it seems to have no immediate applications; yet the knowledge and skills developed in such a course can easily branch out to various fields of both pure mathematics and applied mathematics.

Rather than transforming the reader into a practicing mathematician, this book is more designed to initiate the reader to what may be called “mathematical thinking” while developing knowledge about foundations of modern mathematics. Without this insight, becoming a practicing mathematician is much more daunting.

The main objective is twofold. The students will develop some fundamental understanding of the foundations of mathematics and elements of set theory, in general. In the process, the student will develop skills in proving simple mathematical statements with “mathematical rigor”.

Carefully presented detailed proofs and rigorous chains of logical arguments will guide the students from the fundamental ZFC-axioms and definitions to show why a basic mathematical statement must hold true. The student will recognize the role played by each fundamental axiom in development of modern mathematics. The student will learn to distinguish between a correct mathematical proof and an erroneous one. The subject matter is presented while bypassing the complexities encountered when using formal logic.

Del 3 - Topos Poietikos

Gespräche von Text zu Text. Celan - Heidegger - Hölderlin

AvRobert André

Häftad, Tyska, 2003

940 kr

Skickas inom 5-8 vardagar

Gespräche von Text zu Text. Celan – Heidegger – Hölderlin

AvRobert Andre

E-bok

PDF, Tyska, 2003

442 kr

Läs direkt efter köp

In der Forschung ist die Bedeutung der Begegnung zwischen Paul Celan und Martin Heidegger im Sommer 1967 längst konstatiert worden. Sie wurde jedoch lediglich im Bereich programmatischer Äußerungen reflektiert. In Gespräche von Text zu Text wird durch Quellenstudien und eingehende Textanalysen nachgewiesen, dass dieser Begegnung auf Seiten Celans ein um 1953 einsetzender Prozeß sowohl der Annäherung als auch der Entgegensetzung gegenüber dem Philosophen vorausging. Diese ambivalente Entwicklung wird auch anhand von bisher nicht beachteten Gedichten in ihrer Komplexität vorgeführt. Im Mittelpunkt steht dabei das Gedicht »Engführung«.Der Studie gelingt es, die Differenz Celan-Heidegger an dem Paradox textimmanent zu sichern, das darin besteht, dass Heidegger für sein Denken stets reklamiert hat - auch nach 1945 -, ein geschichtliches zu sein. Methodisch detailliert nachvollziehbar macht sie den tiefsten Differenzgrund zwischen Celan und Heidegger und auch zwischen Hölderlin und Heidegger sichtbar: eine nicht miteinander zu vereinbarende Denkweise angesichts der massiven Erfahrungswahrheiten, die die Realgeschichte den Dichtern auferlegt, die den Denker aber überfordert hat. Die Dichtung, die ihre Begründung in der Philosophie aufzugeben nicht bereit ist, tritt für das verfehlende Denken ein.

Point-set Topology With Topics: Basic General Topology For Graduate Studies

AvRobert Andre

Inbunden, Engelska, 2024

2 485 kr

Skickas inom 3-6 vardagar

This textbook can be used as introduction to a general topology course at undergraduate and graduate level courses. However, many parts of this book present topological concepts that apply directly to functional analysis, which will be of interest to scholars working in those fields.In Part I, readers are eased into the main subject matter of general topology, being presented with summaries of normed vector spaces and metric spaces. Parts II to VI form the core material contained in most Basic General Topology courses. After having worked through the most fundamental concepts of topology, the reader will be exposed to brief introductions to more specialized or advanced topics of pointset topology. These are presented in Part VII in the form of a sequence of chapters, many of which can be read or studied independently or in short sequences of two or three chapters, provided that the student has mastered the previous sections.Chapters related to the more basic ideas of general topology are followed by a collection of 'concept review' questions, the answers to which are found in the main body of the text. These questions highlight the main concepts presented in that chapter, as well as ideas that are often overlooked when first encountered, which will help to test the students' understanding. The efforts required in answering correctly such questions will provide the student with the ability to solve more complex problems in the exercises collected at the end of each section.

Point-set Topology With Topics: Basic General Topology For Graduate Studies

AvRobert Andre

Häftad, Engelska, 2024

1 238 kr

Skickas inom 3-6 vardagar

This textbook can be used as introduction to a general topology course at undergraduate and graduate level courses. However, many parts of this book present topological concepts that apply directly to functional analysis, which will be of interest to scholars working in those fields.In Part I, readers are eased into the main subject matter of general topology, being presented with summaries of normed vector spaces and metric spaces. Parts II to VI form the core material contained in most Basic General Topology courses. After having worked through the most fundamental concepts of topology, the reader will be exposed to brief introductions to more specialized or advanced topics of pointset topology. These are presented in Part VII in the form of a sequence of chapters, many of which can be read or studied independently or in short sequences of two or three chapters, provided that the student has mastered the previous sections.Chapters related to the more basic ideas of general topology are followed by a collection of 'concept review' questions, the answers to which are found in the main body of the text. These questions highlight the main concepts presented in that chapter, as well as ideas that are often overlooked when first encountered, which will help to test the students' understanding. The efforts required in answering correctly such questions will provide the student with the ability to solve more complex problems in the exercises collected at the end of each section.

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Robert André – författare

Set Theory

Set Theory

Set Theory

Gespräche von Text zu Text. Celan - Heidegger - Hölderlin

Gespräche von Text zu Text. Celan – Heidegger – Hölderlin

Point-set Topology With Topics: Basic General Topology For Graduate Studies

Point-set Topology With Topics: Basic General Topology For Graduate Studies

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