The Resource Reading, writing, and proving : a closer look at mathematics, Ulrich Daepp, Pamela Gorkin, (electronic resource)

Reading, writing, and proving : a closer look at mathematics, Ulrich Daepp, Pamela Gorkin, (electronic resource)

Label
Reading, writing, and proving : a closer look at mathematics
Title
Reading, writing, and proving
Title remainder
a closer look at mathematics
Statement of responsibility
Ulrich Daepp, Pamela Gorkin
Creator
Contributor
Subject
Genre
Language
eng
Summary
"This book, which is based on Polya's method of problem solving, aids students in their transition from calculus (or precalculus) to higher-level mathematics. The book begins by providing a great deal of guidance on how to approach definitions, examples, and theorems in mathematics. It ends by providing projects for independent study." "Students will follow Polya's four-step process: learn to understand the problem; devise a plan to solve the problem; carry out that plan; and look back and check what the results told them. Special emphasis is placed on reading carefully and writing well. The authors have included a wide variety of examples, exercises with solutions, problems, and over 40 illustrations, chosen to emphasize these goals. Historical connections are made throughout the text, and students are encouraged to use the rather extensive bibliography to begin making connections of their own. While standard texts in this area prepare students for future courses in algebra, this book also includes chapters on sequences, convergence, and metric spaces for those wanting to bridge the gap between the standard course in calculus and one in analysis."--Jacket
Member of
Cataloging source
N$T
http://library.link/vocab/creatorName
Daepp, Ulrich
Dewey number
510
Illustrations
illustrations
Index
index present
LC call number
QA13
LC item number
.D34 2003eb
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorName
Gorkin, Pamela
Series statement
Undergraduate texts in mathematics
http://library.link/vocab/subjectName
  • Mathematics
  • Technical writing
  • MATHEMATICS
  • MATHEMATICS
  • MATHEMATICS
  • Mathematics
  • Technical writing
  • United States
Label
Reading, writing, and proving : a closer look at mathematics, Ulrich Daepp, Pamela Gorkin, (electronic resource)
Link
http://dx.doi.org/10.1007/b97273
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references (pages 383-388) and index
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
  • How, when, and why of mathematics -- Logically speaking -- Introducing the contrapositive and converse -- Set notation and quantifiers -- Proof techniques -- Sets -- Operations on sets -- More on operations on sets -- Power set and the Cartesian product -- Relations -- Partitions -- Order in the reals -- Functions, domain, and range -- Functions, one-to-one, and onto -- Inverses -- Images and inverse images -- Mathematical induction -- Sequences -- Convergence of sequences of real numbers -- Equivalent sets -- Finite sets and an infinite set -- Countable and uncountable sets
  • Metric spaces -- Getting to know open and closed sets -- Modular arithmetic -- Fermat's little theorem -- Projects
Dimensions
unknown
Extent
1 online resource (xvi, 395 pages)
File format
unknown
Form of item
online
Isbn
9781280188336
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other physical details
illustrations.
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
Stock number
EBL231331
System control number
  • (OCoLC)56066910
  • (OCoLC)ocm56066910
Label
Reading, writing, and proving : a closer look at mathematics, Ulrich Daepp, Pamela Gorkin, (electronic resource)
Link
http://dx.doi.org/10.1007/b97273
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references (pages 383-388) and index
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
  • How, when, and why of mathematics -- Logically speaking -- Introducing the contrapositive and converse -- Set notation and quantifiers -- Proof techniques -- Sets -- Operations on sets -- More on operations on sets -- Power set and the Cartesian product -- Relations -- Partitions -- Order in the reals -- Functions, domain, and range -- Functions, one-to-one, and onto -- Inverses -- Images and inverse images -- Mathematical induction -- Sequences -- Convergence of sequences of real numbers -- Equivalent sets -- Finite sets and an infinite set -- Countable and uncountable sets
  • Metric spaces -- Getting to know open and closed sets -- Modular arithmetic -- Fermat's little theorem -- Projects
Dimensions
unknown
Extent
1 online resource (xvi, 395 pages)
File format
unknown
Form of item
online
Isbn
9781280188336
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other physical details
illustrations.
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
Stock number
EBL231331
System control number
  • (OCoLC)56066910
  • (OCoLC)ocm56066910

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