A First Course on Complex Functions (Chapman and Hall Mathematics Series)

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9780412097102: A First Course on Complex Functions (Chapman and Hall Mathematics Series)
Reseña del editor:

This book contains a rigorous coverage of those topics (and only those topics) that, in the author's judgement, are suitable for inclusion in a first course on Complex Functions. Roughly speaking, these can be summarized as being the things that can be done with Cauchy's integral formula and the residue theorem. On the theoretical side, this includes the basic core of the theory of differentiable complex functions, a theory which is unsurpassed in Mathematics for its cohesion, elegance and wealth of surprises. On the practical side, it includes the computational applications of the residue theorem. Some prominence is given to the latter, because for the more sceptical student they provide the justification for inventing the complex numbers. Analytic continuation and Riemann surfaces form an essentially different chapter of Complex Analysis. A proper treatment is far too sophisticated for a first course, and they are therefore excluded. The aim has been to produce the simplest possible rigorous treatment of the topics discussed. For the programme outlined above, it is quite sufficient to prove Cauchy'S integral theorem for paths in star-shaped open sets, so this is done. No form of the Jordan curve theorem is used anywhere in the book.

Reseña del editor:

This book should be of interest to undergraduates taking courses on complex functions.

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1.

G. J. O. Jameson
Editorial: Chapman and Hall, United Kingdom (1970)
ISBN 10: 0412097109 ISBN 13: 9780412097102
Nuevos Paperback Cantidad: 10
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The Book Depository
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Descripción Chapman and Hall, United Kingdom, 1970. Paperback. Estado de conservación: New. 212 x 134 mm. Language: English . Brand New Book ***** Print on Demand *****.This book contains a rigorous coverage of those topics (and only those topics) that, in the author s judgement, are suitable for inclusion in a first course on Complex Functions. Roughly speaking, these can be summarized as being the things that can be done with Cauchy s integral formula and the residue theorem. On the theoretical side, this includes the basic core of the theory of differentiable complex functions, a theory which is unsurpassed in Mathematics for its cohesion, elegance and wealth of surprises. On the practical side, it includes the computational applications of the residue theorem. Some prominence is given to the latter, because for the more sceptical student they provide the justification for inventing the complex numbers. Analytic continuation and Riemann surfaces form an essentially different chapter of Complex Analysis. A proper treatment is far too sophisticated for a first course, and they are therefore excluded. The aim has been to produce the simplest possible rigorous treatment of the topics discussed. For the programme outlined above, it is quite sufficient to prove Cauchy S integral theorem for paths in star-shaped open sets, so this is done. No form of the Jordan curve theorem is used anywhere in the book. Nº de ref. de la librería AAV9780412097102

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G. JAMESON
Editorial: Springer (1970)
ISBN 10: 0412097109 ISBN 13: 9780412097102
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Descripción Springer, 1970. Paperback. Estado de conservación: NEW. 9780412097102 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. Nº de ref. de la librería HTANDREE0411423

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G. J. O. Jameson
Editorial: Chapman and Hall, United Kingdom (1970)
ISBN 10: 0412097109 ISBN 13: 9780412097102
Nuevos Paperback Cantidad: 10
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Descripción Chapman and Hall, United Kingdom, 1970. Paperback. Estado de conservación: New. 212 x 134 mm. Language: English . Brand New Book ***** Print on Demand *****. This book contains a rigorous coverage of those topics (and only those topics) that, in the author s judgement, are suitable for inclusion in a first course on Complex Functions. Roughly speaking, these can be summarized as being the things that can be done with Cauchy s integral formula and the residue theorem. On the theoretical side, this includes the basic core of the theory of differentiable complex functions, a theory which is unsurpassed in Mathematics for its cohesion, elegance and wealth of surprises. On the practical side, it includes the computational applications of the residue theorem. Some prominence is given to the latter, because for the more sceptical student they provide the justification for inventing the complex numbers. Analytic continuation and Riemann surfaces form an essentially different chapter of Complex Analysis. A proper treatment is far too sophisticated for a first course, and they are therefore excluded. The aim has been to produce the simplest possible rigorous treatment of the topics discussed. For the programme outlined above, it is quite sufficient to prove Cauchy S integral theorem for paths in star-shaped open sets, so this is done. No form of the Jordan curve theorem is used anywhere in the book. Nº de ref. de la librería AAV9780412097102

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Jameson, G.
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Descripción Springer, 2016. Paperback. Estado de conservación: New. PRINT ON DEMAND Book; New; Publication Year 2016; Not Signed; Fast Shipping from the UK. No. book. Nº de ref. de la librería ria9780412097102_lsuk

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G. J. O. Jameson
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Descripción Chapman and Hall, 1970. PAP. Estado de conservación: New. New Book. Delivered from our UK warehouse in 3 to 5 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Nº de ref. de la librería LQ-9780412097102

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G. J. O. Jameson
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Descripción Chapman and Hall, 1970. PAP. Estado de conservación: New. New Book. Shipped from US within 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Nº de ref. de la librería IQ-9780412097102

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Jameson, G.
Editorial: Springer (1970)
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Descripción Springer, 1970. Estado de conservación: New. This item is printed on demand for shipment within 3 working days. Nº de ref. de la librería LP9780412097102

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Jameson, G.
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Descripción Springer, 1970. Paperback. Estado de conservación: New. This item is printed on demand. Nº de ref. de la librería INGM9780412097102

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G. Jameson
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Descripción Springer. Paperback. Estado de conservación: New. Paperback. 148 pages. Dimensions: 8.3in. x 5.3in. x 0.4in.This book contains a rigorous coverage of those topics (and only those topics) that, in the authors judgement, are suitable for inclusion in a first course on Complex Functions. Roughly speaking, these can be summarized as being the things that can be done with Cauchys integral formula and the residue theorem. On the theoretical side, this includes the basic core of the theory of differentiable complex functions, a theory which is unsurpassed in Mathematics for its cohesion, elegance and wealth of surprises. On the practical side, it includes the computational applications of the residue theorem. Some prominence is given to the latter, because for the more sceptical student they provide the justification for inventing the complex numbers. Analytic continuation and Riemann surfaces form an essentially different chapter of Complex Analysis. A proper treatment is far too sophisticated for a first course, and they are therefore excluded. The aim has been to produce the simplest possible rigorous treatment of the topics discussed. For the programme outlined above, it is quite sufficient to prove CauchyS integral theorem for paths in star-shaped open sets, so this is done. No form of the Jordan curve theorem is used anywhere in the book. This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN. Paperback. Nº de ref. de la librería 9780412097102

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Jameson, G.
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Descripción Springer, 2017. Paperback. Estado de conservación: New. This item is printed on demand. Nº de ref. de la librería 0412097109

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