Complex Analysis: Fundamentals of the Classical Theory of Functions

Valutazione media 0
( su 0 valutazioni fornite da GoodReads )
 
9780817649180: Complex Analysis: Fundamentals of the Classical Theory of Functions

All modem introductions to complex analysis follow, more or less explicitly, the pattern laid down in Whittaker and Watson [75]. In "part I" we find the foundational material, the basic definitions and theorems. In "part II" we find the examples and applications. Slowly we begin to understand why we read part I. Historically this is an anachronism. Pedagogically it is a disaster. Part II in fact predates part I, so clearly it can be taught first. Why should the student have to wade through hundreds of pages before finding out what the subject is good for? In teaching complex analysis this way, we risk more than just boredom. Beginning with a series of unmotivated definitions gives a misleading impression of complex analy- sis in particular and of mathematics in general. The classical theory of analytic functions did not arise from the idle speculation of bored mathematicians on the possible conse- quences of an arbitrary set of definitions; it was the natural, even inevitable, consequence of the practical need to answer questions about specific examples. In standard texts, after hundreds of pages of theorems about generic analytic functions with only the rational and trigonometric functions as examples, students inevitably begin to believe that the purpose of complex analysis is to produce more such theorems. We require introductory com- plex analysis courses of our undergraduates and graduates because it is useful both within mathematics and beyond.

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

Recensione:

From the reviews:

The first chapter deals with a beautiful presentation of special functions... The third chapter covers elliptic and modular functions...in much more detail, and from a different point of view, than one can find in standard introductory books... For [the] subjects that are omitted, the author has suggested some excellent references for the reader who wants to go through these topics. The book is read easily and with great interest. It can be recommended to both students as a textbook and to mathematicians and physicists as a useful reference.

---Mathematical Reviews

Mainly original papers are cited to suppoert the historical remarks. The book is well readable.

---ZentralblattMATH

This is an unusual textbook, incorporating material showing how classical function theory can be used.  The general scheme is to show the reader how things were developed without following the traditional approach of most books on functional theory. This book can be recommended to those who like to see applications of the theory taught in "classical courses".

---EMS

“The intended audience for this book is anyone who has taken a calculus course, who knows or is willing to believe the elementary theorems of real analysis given in the appendix, and who wants to learn the classical theory of analytic functions. … The book is easy to read and with great interest. It can be recommended to both students as a textbook and to mathematicians and physicists as a useful reference.” (Vasily A. Chernecky, Zentralblatt MATH, Vol. 1188, 2010)

Dalla quarta di copertina:

This clear, concise introduction to the classical theory of one complex variable is based on the premise that "anything worth doing is worth doing with interesting examples."  The content is driven by techniques and examples rather than definitions and theorems.  This self-contained monograph is an excellent resource for a self-study guide and should appeal to a broad audience.  The only prerequisite is a standard calculus course.

 

The first chapter deals with a beautiful presentation of special functions. . . . The third chapter covers elliptic and modular functions. . . in much more detail, and from a different point of view, than one can find in standard introductory books. . . . For [the] subjects that are omitted, the author has suggested some excellent references for the reader who wants to go through these topics. The book is read easily and with great interest. It can be recommended to both students as a textbook and to mathematicians and physicists as a useful reference. ---Mathematical Reviews

Mainly original papers are cited to support the historical remarks. The book is well readable. ---Zentralblatt für Mathematik

This is an unusual textbook, incorporating material showing how classical function theory can be used. . . . The general scheme is to show the reader how things were developed without following the traditional approach of most books on functional theory. . . . This book can be recommended to those who like to see applications of the theory taught in classical courses. ---EMS

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

I migliori risultati di ricerca su AbeBooks

Edizione Internazionale
Edizione Internazionale

1.

John Stalker
ISBN 10: 0817649182 ISBN 13: 9780817649180
Nuovi Paperback Quantità: 5
Edizione Internazionale
Da
PRIORITY BOOKS
(springfield, VA, U.S.A.)
Valutazione libreria
[?]

Descrizione libro Paperback. Condizione libro: New. Softcover Book, Condition: New. 1st Edition. [Please Read Carefully Before Buying], This Is An International Edition. Printed In Black and White. , Book Cover And ISBN No May Be Different From US Edition. Restricted Sales Disclaimer Wordings Not For Sales In USA And Canada May Be Printed On The Cover Of The Book. Standard Shipping 7-14 Business Days. Expedited Shiping 4-8 Business Days. ***WE DO NOT ENTERTAIN BULK ORDERS.*** The Books May Be Ship From Overseas For Inventory Purpose. Codice libro della libreria 335983

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 13,11
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 3,70
In U.S.A.
Destinazione, tempi e costi
Edizione Internazionale
Edizione Internazionale

2.

John Stalker
ISBN 10: 0817649182 ISBN 13: 9780817649180
Nuovi Paperback Quantità: 1
Edizione Internazionale
Da
Nick Book House
(fresno, CA, U.S.A.)
Valutazione libreria
[?]

Descrizione libro Paperback. Condizione libro: New. New Softcover International Edition, Printed in Black and White, Different ISBN, Same Content As US edition, Book Cover may be Different, in English Language. Codice libro della libreria 16793

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 13,21
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 3,70
In U.S.A.
Destinazione, tempi e costi
Edizione Internazionale
Edizione Internazionale

3.

Stalker
ISBN 10: 0817649182 ISBN 13: 9780817649180
Nuovi Quantità: 5
Edizione Internazionale
Da
firstbookstore
(New Delhi, India)
Valutazione libreria
[?]

Descrizione libro Condizione libro: Brand New. Brand New Paperback International Edition, Perfect Condition. Printed in English. Excellent Quality, Service and customer satisfaction guaranteed!. Codice libro della libreria AIND-8177

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 20,76
Convertire valuta

Aggiungere al carrello

Spese di spedizione: GRATIS
Da: India a: U.S.A.
Destinazione, tempi e costi
Edizione Internazionale
Edizione Internazionale

4.

Stalker
ISBN 10: 0817649182 ISBN 13: 9780817649180
Nuovi Brossura Quantità: 5
Edizione Internazionale
Da
Romtrade Corp.
(STERLING HEIGHTS, MI, U.S.A.)
Valutazione libreria
[?]

Descrizione libro Condizione libro: New. Brand New Paperback International Edition.We Ship to PO BOX Address also. EXPEDITED shipping option also available for faster delivery. Codice libro della libreria AUSBNEW-8177

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 22,95
Convertire valuta

Aggiungere al carrello

Spese di spedizione: GRATIS
In U.S.A.
Destinazione, tempi e costi

5.

John Stalker
Editore: BIRKHAUSER BOSTON INC, United States (2009)
ISBN 10: 0817649182 ISBN 13: 9780817649180
Nuovi Paperback Quantità: 1
Da
The Book Depository US
(London, Regno Unito)
Valutazione libreria
[?]

Descrizione libro BIRKHAUSER BOSTON INC, United States, 2009. Paperback. Condizione libro: New. 231 x 155 mm. Language: English . Brand New Book. All modem introductions to complex analysis follow, more or less explicitly, the pattern laid down in Whittaker and Watson [75]. In part I we find the foundational material, the basic definitions and theorems. In part II we find the examples and applications. Slowly we begin to understand why we read part I. Historically this is an anachronism. Pedagogically it is a disaster. Part II in fact predates part I, so clearly it can be taught first. Why should the student have to wade through hundreds of pages before finding out what the subject is good for? In teaching complex analysis this way, we risk more than just boredom. Beginning with a series of unmotivated definitions gives a misleading impression of complex analy- sis in particular and of mathematics in general. The classical theory of analytic functions did not arise from the idle speculation of bored mathematicians on the possible conse- quences of an arbitrary set of definitions; it was the natural, even inevitable, consequence of the practical need to answer questions about specific examples. In standard texts, after hundreds of pages of theorems about generic analytic functions with only the rational and trigonometric functions as examples, students inevitably begin to believe that the purpose of complex analysis is to produce more such theorems. We require introductory com- plex analysis courses of our undergraduates and graduates because it is useful both within mathematics and beyond. 1st ed. 1998. 2nd printing 2009. Softcover reprint of the original 1st ed. 1998. Codice libro della libreria LIB9780817649180

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 50,27
Convertire valuta

Aggiungere al carrello

Spese di spedizione: GRATIS
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

6.

John Stalker
Editore: BIRKHAUSER BOSTON INC, United States (2009)
ISBN 10: 0817649182 ISBN 13: 9780817649180
Nuovi Paperback Quantità: 1
Da
The Book Depository
(London, Regno Unito)
Valutazione libreria
[?]

Descrizione libro BIRKHAUSER BOSTON INC, United States, 2009. Paperback. Condizione libro: New. 231 x 155 mm. Language: English . Brand New Book. All modem introductions to complex analysis follow, more or less explicitly, the pattern laid down in Whittaker and Watson [75]. In part I we find the foundational material, the basic definitions and theorems. In part II we find the examples and applications. Slowly we begin to understand why we read part I. Historically this is an anachronism. Pedagogically it is a disaster. Part II in fact predates part I, so clearly it can be taught first. Why should the student have to wade through hundreds of pages before finding out what the subject is good for? In teaching complex analysis this way, we risk more than just boredom. Beginning with a series of unmotivated definitions gives a misleading impression of complex analy- sis in particular and of mathematics in general. The classical theory of analytic functions did not arise from the idle speculation of bored mathematicians on the possible conse- quences of an arbitrary set of definitions; it was the natural, even inevitable, consequence of the practical need to answer questions about specific examples. In standard texts, after hundreds of pages of theorems about generic analytic functions with only the rational and trigonometric functions as examples, students inevitably begin to believe that the purpose of complex analysis is to produce more such theorems. We require introductory com- plex analysis courses of our undergraduates and graduates because it is useful both within mathematics and beyond. 1st ed. 1998. 2nd printing 2009. Softcover reprint of the original 1st ed. 1998. Codice libro della libreria LIB9780817649180

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 50,61
Convertire valuta

Aggiungere al carrello

Spese di spedizione: GRATIS
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

7.

John Stalker
Editore: Birkhauser Boston Inc 2009-10-16, Secaucus (2009)
ISBN 10: 0817649182 ISBN 13: 9780817649180
Nuovi paperback Quantità: > 20
Da
Blackwell's
(Oxford, OX, Regno Unito)
Valutazione libreria
[?]

Descrizione libro Birkhauser Boston Inc 2009-10-16, Secaucus, 2009. paperback. Condizione libro: New. Codice libro della libreria 9780817649180

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 49,27
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 5,20
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

8.

Stalker, John
Editore: Birkhäuser (2009)
ISBN 10: 0817649182 ISBN 13: 9780817649180
Nuovi Brossura Quantità: 1
Da
English-Book-Service Mannheim
(Mannheim, Germania)
Valutazione libreria
[?]

Descrizione libro Birkhäuser, 2009. Condizione libro: New. Codice libro della libreria L9780817649180

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 55,61
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 5,00
Da: Germania a: U.S.A.
Destinazione, tempi e costi

9.

John Stalker
Editore: Birkhauser Boston Inc (2009)
ISBN 10: 0817649182 ISBN 13: 9780817649180
Nuovi Quantità: > 20
Print on Demand
Da
Books2Anywhere
(Fairford, GLOS, Regno Unito)
Valutazione libreria
[?]

Descrizione libro Birkhauser Boston Inc, 2009. PAP. Condizione libro: New. New Book. Delivered from our UK warehouse in 3 to 5 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Codice libro della libreria LQ-9780817649180

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 51,44
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 10,40
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

10.

JOHN STALKER
Editore: BirkhÇÏuser (2009)
ISBN 10: 0817649182 ISBN 13: 9780817649180
Nuovi Paperback Quantità: 1
Da
Herb Tandree Philosophy Books
(Stroud, GLOS, Regno Unito)
Valutazione libreria
[?]

Descrizione libro BirkhÇÏuser, 2009. Paperback. Condizione libro: NEW. 9780817649180 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. Codice libro della libreria HTANDREE0286013

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 53,58
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 9,25
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

Vedi altre copie di questo libro

Vedi tutti i risultati per questo libro