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Synopsis
Mathematics is the music of science, and real analysis is the Bach of mathematics. There are many other foolish things I could say about the subject of this book, but the foregoing will give the reader an idea of where my heart lies. The present book was written to support a first course in real analysis, normally taken after a year of elementary calculus. Real analysis is, roughly speaking, the modern setting for Calculus, "real" alluding to the field of real numbers that underlies it all. At center stage are functions, defined and taking values in sets of real numbers or in sets (the plane, 3-space, etc.) readily derived from the real numbers; a first course in real analysis traditionally places the emphasis on real-valued functions defined on sets of real numbers. The agenda for the course: (1) start with the axioms for the field ofreal numbers, (2) build, in one semester and with appropriate rigor, the foun dations of calculus (including the "Fundamental Theorem"), and, along theway, (3) develop those skills and attitudes that enable us to continue learning mathematics on our own. Three decades of experience with the exercise have not diminished my astonishment that it can be done.
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Review
"Main attention is given to ideas, concepts, theorems, types of reasoning and less to routine aspects and computation techniques." -- ZENTRALBLATT MATH
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First Course In Real Analysis
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A First Course in Real Analysis (Undergraduate Texts in Mathematics)
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A First Course in Real Analysis (Undergraduate Texts in Mathematics)
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ISBN 10: 0387942173
ISBN 13: 9780387942179
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A First Course in Real Analysis
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Springer New York Jun 1994, 1994
ISBN 10: 0387942173
ISBN 13: 9780387942179
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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Mathematics is the music of science, and real analysis is the Bach of mathematics. There are many other foolish things I could say about the subject of this book, but the foregoing will give the reader an idea of where my heart lies. The present book was written to support a first course in real analysis, normally taken after a year of elementary calculus. Real analysis is, roughly speaking, the modern setting for Calculus, 'real' alluding to the field of real numbers that underlies it all. At center stage are functions, defined and taking values in sets of real numbers or in sets (the plane, 3-space, etc.) readily derived from the real numbers; a first course in real analysis traditionally places the emphasis on real-valued functions defined on sets of real numbers. The agenda for the course: (1) start with the axioms for the field ofreal numbers, (2) build, in one semester and with appropriate rigor, the foun dations of calculus (including the 'Fundamental Theorem'), and, along the way, (3) develop those skills and attitudes that enable us to continue learning mathematics on our own. Three decades of experience with the exercise have not diminished my astonishment that it can be done. 256 pp. Englisch. Seller Inventory # 9780387942179
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A First Course in Real Analysis
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A First Course in Real Analysis (Undergraduate Texts in Mathematics) Berberian, Sterling K.
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