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This book is intended as an undergraduate text on real analysis and includes all the standard material such as sequences, infinite series, continuity, differentiation, and integration, together with worked examples and exercises. By unifying and simplifying all the various notions of limit, the author has successfully presented a unique and novel approach to the subject matter, which will lead to a better understanding on the part of students.
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Intended as an undergraduate text on real analysis, this book includes all the standard material such as sequences, infinite series, continuity, differentiation, and integration, together with worked examples and exercises. By unifying and simplifying all the various notions of limit, the author has successfully presented a novel approach to the subject matter, which has not previously appeared in book form. The author defines the term limit once only, and all of the subsequent limiting processes are seen to be special cases of this one definition. Accordingly, the subject matter attains a unity and coherence that is not to be found in the traditional approach. Students will be able to fully appreciate and understand the common source of the topics they are studying while also realising that they are "variations on a theme", rather than essentially different topics, and therefore, will gain a better understanding of the subject.
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Limits: A New Approach to Real Analysis (Undergraduate Texts in Mathematics)
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Limits : A New Approach to Real Analysis
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Limits (Paperback)
Verlag:
Springer-Verlag New York Inc., New York, NY, 2012
ISBN 10: 1461268729
ISBN 13: 9781461268727
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Paperback. Zustand: new. Paperback. Broadly speaking, analysis is the study of limiting processes such as sum ming infinite series and differentiating and integrating functions, and in any of these processes there are two issues to consider; first, there is the question of whether or not the limit exists, and second, assuming that it does, there is the problem of finding its numerical value. By convention, analysis is the study oflimiting processes in which the issue of existence is raised and tackled in a forthright manner. In fact, the problem of exis tence overshadows that of finding the value; for example, while it might be important to know that every polynomial of odd degree has a zero (this is a statement of existence), it is not always necessary to know what this zero is (indeed, if it is irrational, we may never know what its true value is). Despite the fact that this book has much in common with other texts on analysis, its approach to the subject differs widely from any other text known to the author. In other texts, each limiting process is discussed, in detail and at length before the next process. There are several disadvan tages in this approach. First, there is the need for a different definition for each concept, even though the student will ultimately realise that these different definitions have much in common. Broadly speaking, analysis is the study of limiting processes such as sum ming infinite series and differentiating and integrating functions, and in any of these processes there are two issues to consider; Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Bestandsnummer des Verkäufers 9781461268727
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Limits: A New Approach to Real Analysis (Paperback or Softback)
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Springer 10/3/2012, 2012
ISBN 10: 1461268729
ISBN 13: 9781461268727
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Paperback or Softback. Zustand: New. Limits: A New Approach to Real Analysis 0.64. Book. Bestandsnummer des Verkäufers BBS-9781461268727
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Limits : A New Approach to Real Analysis
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Limits
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Taschenbuch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Intended as an undergraduate text on real analysis, this book includes all the standard material such as sequences, infinite series, continuity, differentiation, and integration, together with worked examples and exercises. By unifying and simplifying all the various notions of limit, the author has successfully presented a novel approach to the subject matter, which has not previously appeared in book form. The author defines the term limit once only, and all of the subsequent limiting processes are seen to be special cases of this one definition. Accordingly, the subject matter attains a unity and coherence that is not to be found in the traditional approach. Students will be able to fully appreciate and understand the common source of the topics they are studying while also realising that they are 'variations on a theme', rather than essentially different topics, and therefore, will gain a better understanding of the subject. 204 pp. Englisch. Bestandsnummer des Verkäufers 9781461268727
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Limits
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Limits: A New Approach to Real Analysis
Verlag:
Springer-Verlag New York Inc., 2012
ISBN 10: 1461268729
ISBN 13: 9781461268727
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Paperback / softback. Zustand: New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days 350. Bestandsnummer des Verkäufers C9781461268727
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