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The Resource The mathematical experience, Philip J. Davis, Reuben Hersh, Elena Anne Marchisotto

The mathematical experience, Philip J. Davis, Reuben Hersh, Elena Anne Marchisotto

Creator
Contributor
Summary
Winner of the 1983 National Book Award, The Mathematical Experience presented a highly insightful overview of mathematics that effectively conveyed its power and beauty to a large audience of mathematicians and non-mathematicians alike. The study edition of the work followed about a decade later, supplementing the original material of the book with exercises to provide a self-contained treatment usable for the classroom. This softcover version reproduces the study edition and includes epilogues by the three original authors to reflect on the book's content 15 years after its publication, and to demonstrate its continued applicability to the classroom. Moreover, The Companion Guide to the Mathematical Experience-originally published and sold separately-is freely available online to instructors who use the work, further enhancing its pedagogical value and making it an exceptionally useful and accessible resource for a wide range of lower-level courses in mathematics and mathematics education. A wealth of customizable online course materials for the book can be obtained from Elena Anne Marchisotto (elena.marchisotto@csun.edu) upon request. Reviews [The authors] have tried to provide a book usable in a course for liberal arts students and for future secondary teachers. They have done much more! This course should be required of every undergraduate major employing the mathematical sciences. It differs from the "mathematics appreciation" courses-courses that are merely a collection of amusing puzzles and toy problems giving an illusion of a mathematical encounter-presently found in many institutions. Students of this course are introduced to the context in which mathematics exists and the incredible magnitude of words devoted to communicating mathematics (hundreds of thousands of theorems each year). How much mathematics can there be? they are asked. Instructors in a "Mathematical Experience" course must be prepared to respond to questions from students concerning the fundamental nature of the whole mathematical enterprise. Stimulated by their reading of the text, students will ask about the underlying logical and philosophical issues, the role of mathematical methods and their origins, the substance of contemporary mathematical advances, the meaning of rigor and proof in mathematics, the role of computational mathematics, and issues of teaching and learning. How real is the conflict between "pure" mathematics, as represented by G.H. Hardy's statements, and "applied" mathematics? they may ask. Are there other kinds of mathematics, neither pure nor applied? This edition of the book provides a source of problems, collateral readings, references, essay and project assignments, and discussion guides for the course. I believe that it is likely that this course would be a challenge to many teachers and students alike, especially those teachers and students who are willing to follow their curiosity beyond the confines of this book and follow up on the many references that are provided. -Notices of the AMS (Kenneth C. Millett) This beautifully written book can be recommended to any cultivated person with a certain sophistication of thought, and also to the practicing mathematician who will find here a vantage point from which to make a tour d'horizon of his science. -Publ. Math. Debrecen This is an unusual book, being more a book about mathematics than a mathematics book. It includes mathematical issues, but also questions from the philosophy of mathematics, the psychology of mathematical discovery, the history of mathematics, and biographies of mathematicians, in short, a book about the mathematical experience broadly considered... The book found its way into "Much for liberal arts students" courses and into education courses directed at future teachers. Term paper topics, essay assignments, problems, computer applications, and suggested readings are included. This new material should greatly enhance the usefulness of this very creative book. The range of topics covered is immense and the contents cannot easily be summarized. The book makes excellent casual reading, would make a good textbook, or could easily be used as a supplement to nearly any course concerned with mathematics. -Zentralblatt MATH
Language
eng
Work
Publication
Edition
Study ed.
Extent
1 online resource (xxiii, 500 pages)
Note
"Reprint of the 1995 edition."
Contents
  • Preface
  • Preface to the Study Edition
  • Acknowledgements
  • Introduction
  • Overture
  • 1. The Mathematical Landscape
  • 2. Varieties of Mathematical Experience
  • 3. Outer Issues
  • 4. Inner Issues
  • 5. Selected Topics in Mathematics
  • 6. Teaching and Learning
  • 7. From Certainty to Fallibility
  • 8. Mathematical Reality
  • Glossary
  • Bibliography
  • Index
  • Epilogue
Isbn
9780817682941
Instance
Label
The mathematical experience
Title
The mathematical experience
Statement of responsibility
Philip J. Davis, Reuben Hersh, Elena Anne Marchisotto
Creator
Contributor
Subject
Genre
Language
eng
Summary
Winner of the 1983 National Book Award, The Mathematical Experience presented a highly insightful overview of mathematics that effectively conveyed its power and beauty to a large audience of mathematicians and non-mathematicians alike. The study edition of the work followed about a decade later, supplementing the original material of the book with exercises to provide a self-contained treatment usable for the classroom. This softcover version reproduces the study edition and includes epilogues by the three original authors to reflect on the book's content 15 years after its publication, and to demonstrate its continued applicability to the classroom. Moreover, The Companion Guide to the Mathematical Experience-originally published and sold separately-is freely available online to instructors who use the work, further enhancing its pedagogical value and making it an exceptionally useful and accessible resource for a wide range of lower-level courses in mathematics and mathematics education. A wealth of customizable online course materials for the book can be obtained from Elena Anne Marchisotto (elena.marchisotto@csun.edu) upon request. Reviews [The authors] have tried to provide a book usable in a course for liberal arts students and for future secondary teachers. They have done much more! This course should be required of every undergraduate major employing the mathematical sciences. It differs from the "mathematics appreciation" courses-courses that are merely a collection of amusing puzzles and toy problems giving an illusion of a mathematical encounter-presently found in many institutions. Students of this course are introduced to the context in which mathematics exists and the incredible magnitude of words devoted to communicating mathematics (hundreds of thousands of theorems each year). How much mathematics can there be? they are asked. Instructors in a "Mathematical Experience" course must be prepared to respond to questions from students concerning the fundamental nature of the whole mathematical enterprise. Stimulated by their reading of the text, students will ask about the underlying logical and philosophical issues, the role of mathematical methods and their origins, the substance of contemporary mathematical advances, the meaning of rigor and proof in mathematics, the role of computational mathematics, and issues of teaching and learning. How real is the conflict between "pure" mathematics, as represented by G.H. Hardy's statements, and "applied" mathematics? they may ask. Are there other kinds of mathematics, neither pure nor applied? This edition of the book provides a source of problems, collateral readings, references, essay and project assignments, and discussion guides for the course. I believe that it is likely that this course would be a challenge to many teachers and students alike, especially those teachers and students who are willing to follow their curiosity beyond the confines of this book and follow up on the many references that are provided. -Notices of the AMS (Kenneth C. Millett) This beautifully written book can be recommended to any cultivated person with a certain sophistication of thought, and also to the practicing mathematician who will find here a vantage point from which to make a tour d'horizon of his science. -Publ. Math. Debrecen This is an unusual book, being more a book about mathematics than a mathematics book. It includes mathematical issues, but also questions from the philosophy of mathematics, the psychology of mathematical discovery, the history of mathematics, and biographies of mathematicians, in short, a book about the mathematical experience broadly considered... The book found its way into "Much for liberal arts students" courses and into education courses directed at future teachers. Term paper topics, essay assignments, problems, computer applications, and suggested readings are included. This new material should greatly enhance the usefulness of this very creative book. The range of topics covered is immense and the contents cannot easily be summarized. The book makes excellent casual reading, would make a good textbook, or could easily be used as a supplement to nearly any course concerned with mathematics. -Zentralblatt MATH
Member of
Cataloging source
GW5XE
http://library.link/vocab/creatorDate
1923-2018
http://library.link/vocab/creatorName
Davis, Philip J.
Dewey number
510
Illustrations
illustrations
Index
no index present
LC call number
QA8.4
LC item number
.D38 2012
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorDate
1927-2020
http://library.link/vocab/relatedWorkOrContributorName
  • Hersh, Reuben
  • Marchisotto, Elena
Series statement
Modern Birkhäuser classics
http://library.link/vocab/subjectName
  • Mathematics
  • Mathematics
  • Mathematics
  • Mathematics
  • Education
  • Logic
  • Philosophy
  • Mathematics
  • Mathematics
  • Mathematics
Label
The mathematical experience, Philip J. Davis, Reuben Hersh, Elena Anne Marchisotto
Instantiates
Publication
Note
"Reprint of the 1995 edition."
Antecedent source
unknown
Bibliography note
Includes bibliographical references (pages 463-480)
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
Preface -- Preface to the Study Edition -- Acknowledgements -- Introduction -- Overture -- 1. The Mathematical Landscape -- 2. Varieties of Mathematical Experience -- 3. Outer Issues -- 4. Inner Issues -- 5. Selected Topics in Mathematics -- 6. Teaching and Learning -- 7. From Certainty to Fallibility -- 8. Mathematical Reality -- Glossary -- Bibliography -- Index -- Epilogue
Control code
759858120
Dimensions
unknown
Edition
Study ed.
Extent
1 online resource (xxiii, 500 pages)
File format
unknown
Form of item
online
Isbn
9780817682941
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
System control number
(OCoLC)759858120
Label
The mathematical experience, Philip J. Davis, Reuben Hersh, Elena Anne Marchisotto
Publication
Note
"Reprint of the 1995 edition."
Antecedent source
unknown
Bibliography note
Includes bibliographical references (pages 463-480)
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
Preface -- Preface to the Study Edition -- Acknowledgements -- Introduction -- Overture -- 1. The Mathematical Landscape -- 2. Varieties of Mathematical Experience -- 3. Outer Issues -- 4. Inner Issues -- 5. Selected Topics in Mathematics -- 6. Teaching and Learning -- 7. From Certainty to Fallibility -- 8. Mathematical Reality -- Glossary -- Bibliography -- Index -- Epilogue
Control code
759858120
Dimensions
unknown
Edition
Study ed.
Extent
1 online resource (xxiii, 500 pages)
File format
unknown
Form of item
online
Isbn
9780817682941
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
System control number
(OCoLC)759858120

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