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When first published in 1959, this book was the basis of a two-semester course in complex analysis for upper undergraduate and graduate students.  J. S. Mac Nerney was a proponent of the Socratic, or “do-it-yourself” method of learning mathematics, in which students are encouraged to engage in mathematical problem solving, including theorems at every level which are often regarded as “too difficult” for students to prove for themselves.  Accordingly, Mac Nerney provides no proofs.  What he does instead is to compose and arrange the investigation in his own unique style, so that a contextual proof is always available to the persistent student who enjoys a challenge.  The central idea is to empower students by allowing them to discover and rely on their own mathematical abilities.  This text may be used in a variety of settings, including: the usual classroom or seminar, but with the teacher acting mainly as a moderator while the students present their discoveries, a small-group setting in which the students present their discoveries to each other, and independent study.
     
The Editors, William E. Kaufman (who was Mac Nerney’s last PhD student) and Ryan C. Schwiebert, have composed the original typed Work into LaTeX ; they have updated the notation, terminology, and some of the prose for modern usage, but the organization of content has been strictly  preserved.  About this Book, some new exercises, and an index have also been added.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Informazioni sull?autore

?John Sheridan Mac Nerney  was a student of H. S. Wall. Both of their teaching styles included elements derived from the Moore Method.They both taught by posing problems ranging in difficulty from those one would expect in the usual lectures and texts to others which many might presume to be too difficult for students to solve for themselves.


William E. Kaufman received his PhD from the University of Houston in 1979 under J. S. Mac Nerney.  His primary areas of research are Hilbert space operator theory and the structure of Banach spaces.  He worked on mathematical software for the first Space Shuttle at the Johnson Space Center.  He is also interested in functional analysis in general, topological vector spaces, and is currently actively pursuing problems in the theory of nonseparable  Banach spaces.

Ryan C. Schwiebert received his PhD from Ohio University in 2011 under Sergio López-Permouth and Gregory Oman.  His areas of research are in the theory of rings and modules.  He has an ongoing interest in applications of abstract algebra to other fields and the creation of software to enhance progress in mathematical research. 

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When first published in 1959, this book was the basis of a two-semester course in complex analysis for upper undergraduate and graduate students.  J. S. Mac Nerney was a proponent of the Socratic, or do-it-yourself method of learning mathematics, in which students are encouraged to engage in mathematical problem solving, including theorems at every level which are often regarded as too difficult for students to prove for themselves.  Accordingly, Mac Nerney provides no proofs.  What he does instead is to compose and arrange the investigation in his own unique style, so that a contextual proof is always available to the persistent student who enjoys a challenge.  The central idea is to empower students by allowing them to discover and rely on their own mathematical abilities.  This text may be used in a variety of settings, including: the usual classroom or seminar, but with the teacher acting mainly as a moderator while the students present their discoveries, a small-group setting in which the students present their discoveries to each other, and independent study.
     
The Editors, William E. Kaufman (who was Mac Nerney s last PhD student) and Ryan C. Schwiebert, have composed the original typed Work into LaTeX ; they have updated the notation, terminology, and some of the prose for modern usage, but the organization of content has been strictly  preserved.  About this Book, some new exercises, and an index have also been added.

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

  • EditoreSpringer Nature
  • Data di pubblicazione2020
  • ISBN 10 3030420841
  • ISBN 13 9783030420840
  • RilegaturaCopertina flessibile
  • LinguaInglese
  • Numero edizione1
  • Numero di pagine112
  • RedattoreKaufman William E., Schwiebert Ryan C.
  • Contatto del produttorenon disponibile

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9781258539825: An Introduction to Analytic Functions with Theoretical Implications

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Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Designed to enable the student an opportunity to engage in mathematical problem solving at the highest levelIncludes exercises at every levelVersatile pedagogical usageJohn Sheridan M. Codice articolo 385700177

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Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -When first published in 1959, this book was the basis of a two-semester course in complex analysis for upper undergraduate and graduate students. J. S. Mac Nerney was a proponent of the Socratic, or 'do-it-yourself' method of learning mathematics, in which students are encouraged to engage in mathematical problem solving, including theorems at every level which are often regarded as 'too difficult' for students to prove for themselves. Accordingly, Mac Nerney provides no proofs. What he does instead is to compose and arrange the investigation in his own unique style, so that a contextual proof is always available to the persistent student who enjoys a challenge. The central idea is to empower students by allowing them to discover and rely on their own mathematical abilities. This text may be used in a variety of settings, including: the usual classroom or seminar, but with the teacher acting mainly as a moderator while the students present their discoveries, a small-group setting in which the students present their discoveries to each other, and independent study. The Editors, William E. Kaufman (who was Mac Nerney's last PhD student) and Ryan C. Schwiebert, have composed the original typed Work into LaTeX ; they have updated the notation, terminology, and some of the prose for modern usage, but the organization of content has been strictly preserved. About this Book, some new exercises, and an index have also been added. 112 pp. Englisch. Codice articolo 9783030420840

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Taschenbuch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - When first published in 1959, this book was the basis of a two-semester course in complex analysis for upper undergraduate and graduate students. J. S. Mac Nerney was a proponent of the Socratic, or 'do-it-yourself' method of learning mathematics, in which students are encouraged to engage in mathematical problem solving, including theorems at every level which are often regarded as 'too difficult' for students to prove for themselves. Accordingly, Mac Nerney provides no proofs. What he does instead is to compose and arrange the investigation in his own unique style, so that a contextual proof is always available to the persistent student who enjoys a challenge. The central idea is to empower students by allowing them to discover and rely on their own mathematical abilities. This text may be used in a variety of settings, including: the usual classroom or seminar, but with the teacher acting mainly as a moderator while the students present their discoveries, a small-group setting in which the students present their discoveries to each other, and independent study. The Editors, William E. Kaufman (who was Mac Nerney's last PhD student) and Ryan C. Schwiebert, have composed the original typed Work into LaTeX ; they have updated the notation, terminology, and some of the prose for modern usage, but the organization of content has been strictly preserved. About this Book, some new exercises, and an index have also been added. Codice articolo 9783030420840

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Taschenbuch. Condizione: Neu. Neuware -When first published in 1959, this book was the basis of a two-semester course in complex analysis for upper undergraduate and graduate students. J. S. Mac Nerney was a proponent of the Socratic, or ¿do-it-yourself¿ method of learning mathematics, in which students are encouraged to engage in mathematical problem solving, including theorems at every level which are often regarded as ¿too difficult¿ for students to prove for themselves. Accordingly, Mac Nerney provides no proofs. What he does instead is to compose and arrange the investigation in his own unique style, so that a contextual proof is always available to the persistent student who enjoys a challenge. The central idea is to empower students by allowing them to discover and rely on their own mathematical abilities. This text may be used in a variety of settings, including: the usual classroom or seminar, but with the teacher acting mainly as a moderator while the students present their discoveries, a small-group setting in which the students present their discoveries to each other, and independent study.The Editors, William E. Kaufman (who was Mac Nerney¿s last PhD student) and Ryan C. Schwiebert, have composed the original typed Work into LaTeX ; they have updated the notation, terminology, and some of the prose for modern usage, but the organization of content has been strictly preserved. About this Book, some new exercises, and an index have also been added.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 112 pp. Englisch. Codice articolo 9783030420840

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