A First Course in Analysis / by George Pedrick.
This is a new text covering advanced calculus. It discusses such topics as number systems, the extreme value problem, continuous functions, differentiation, integration and infinite series. The exposition is generally slower pace than that of most other texts, and it provides many examples which are...
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Online Access: |
Full Text (via Springer) |
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Main Author: | |
Format: | eBook |
Language: | English |
Published: |
New York, NY :
Springer New York,
1994.
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Series: | Undergraduate texts in mathematics.
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Subjects: |
MARC
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245 | 1 | 2 | |a A First Course in Analysis / |c by George Pedrick. |
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490 | 1 | |a Undergraduate Texts in Mathematics, |x 0172-6056. | |
505 | 0 | |a Background Number Systems -- §1. Counting: The Natural Numbers -- §2. Measurement: The Rational Numbers -- The Axioms of Ordered Fields -- §3. Decimal Representation. Irrationals -- I ANALYSIS -- 1 Approximation: The Real Numbers -- 2 The Extreme-Value Problem -- 3 Continuous Functions -- II FOUNDATIONS OF CALCULUS -- 4 Differentiation -- 5 Integration -- 6 Infinite Series. | |
520 | |a This is a new text covering advanced calculus. It discusses such topics as number systems, the extreme value problem, continuous functions, differentiation, integration and infinite series. The exposition is generally slower pace than that of most other texts, and it provides many examples which are important to students in a first analysis course. The reader will find that the focus of attention is shifted from the learning and applying of computational techniques to careful reasoning from hypothesis to conclusion. The book is intended both for a terminal course and as preparation for more advanced studies in mathematics, science, engineering and computation. | ||
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