The Resource Limits : A New Approach to Real Analysis, by Alan F. Beardon, (electronic resource)

Limits : A New Approach to Real Analysis, by Alan F. Beardon, (electronic resource)

Label
Limits : A New Approach to Real Analysis
Title
Limits
Title remainder
A New Approach to Real Analysis
Statement of responsibility
by Alan F. Beardon
Creator
Author
Author
Subject
Language
  • eng
  • eng
Summary
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
Member of
http://library.link/vocab/creatorName
Beardon, Alan F
Dewey number
515.8
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
hVnjM5W2hyE
Image bit depth
0
Language note
English
LC call number
QA331.5
Literary form
non fiction
Nature of contents
dictionaries
Series statement
Undergraduate Texts in Mathematics,
http://library.link/vocab/subjectName
  • Mathematics
  • Real Functions
Label
Limits : A New Approach to Real Analysis, by Alan F. Beardon, (electronic resource)
Instantiates
Publication
Note
Bibliographic Level Mode of Issuance: Monograph
Antecedent source
mixed
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Color
not applicable
Content category
text
Content type code
  • txt
Contents
I Foundations -- 1 Sets and Functions -- 2 Real and Complex Numbers -- II Limits -- 3 Limits -- 4 Bisection Arguments -- 5 Infinite Series -- 6 Periodic Functions -- III Analysis -- 7 Sequences -- 8 Continuous Functions -- 9 Derivatives -- 10 Integration -- 11 ?, ?, e, and n! -- Appendix: Mathematical Induction -- References
Dimensions
unknown
Edition
1st ed. 1997.
Extent
1 online resource (IX, 190 p.)
File format
multiple file formats
Form of item
online
Isbn
9781461206972
Level of compression
uncompressed
Media category
computer
Media type code
  • c
Other control number
10.1007/978-1-4612-0697-2
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)3400000000089232
  • (SSID)ssj0001297405
  • (PQKBManifestationID)11756075
  • (PQKBTitleCode)TC0001297405
  • (PQKBWorkID)11374810
  • (PQKB)11367085
  • (DE-He213)978-1-4612-0697-2
  • (MiAaPQ)EBC3074048
  • (EXLCZ)993400000000089232
Label
Limits : A New Approach to Real Analysis, by Alan F. Beardon, (electronic resource)
Publication
Note
Bibliographic Level Mode of Issuance: Monograph
Antecedent source
mixed
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Color
not applicable
Content category
text
Content type code
  • txt
Contents
I Foundations -- 1 Sets and Functions -- 2 Real and Complex Numbers -- II Limits -- 3 Limits -- 4 Bisection Arguments -- 5 Infinite Series -- 6 Periodic Functions -- III Analysis -- 7 Sequences -- 8 Continuous Functions -- 9 Derivatives -- 10 Integration -- 11 ?, ?, e, and n! -- Appendix: Mathematical Induction -- References
Dimensions
unknown
Edition
1st ed. 1997.
Extent
1 online resource (IX, 190 p.)
File format
multiple file formats
Form of item
online
Isbn
9781461206972
Level of compression
uncompressed
Media category
computer
Media type code
  • c
Other control number
10.1007/978-1-4612-0697-2
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)3400000000089232
  • (SSID)ssj0001297405
  • (PQKBManifestationID)11756075
  • (PQKBTitleCode)TC0001297405
  • (PQKBWorkID)11374810
  • (PQKB)11367085
  • (DE-He213)978-1-4612-0697-2
  • (MiAaPQ)EBC3074048
  • (EXLCZ)993400000000089232

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