Lectures on Classical Differential Geometry

Valutazione media 3,88
( su 8 valutazioni fornite da GoodReads )
 
9780486656090: Lectures on Classical Differential Geometry

Excellent brief introduction presents fundamental theory of curves and surfaces and applies them to a number of examples. Topics include curves, theory of surfaces, fundamental equations, geometry on a surface, envelopes, conformal mapping, minimal surfaces, more. Well-illustrated, with abundant problems and solutions. Bibliography.

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

Contenuti:

PREFACE BIBLIOGRAPHY CHAPTER 1. CURVES 1-1 Analytic representation 1-2 "Arc length, tangent " 1-3 Osculating plane 1-4 Curvature 1-5 Torsion 1-6 Formulas of Frenet 1-7 Contact 1-8 Natural equations 1-9 Helices 1-10 General solution of the natural equations 1-11 Evolutes and involutes 1-12 Imaginary curves 1-13 Ovals 1-14 Monge CHAPTER 2. ELEMENTARY THEORY OF SURFACES 2-1 Analytical representation 2-2 First fundamental form 2-3 "Normal, tangent plane" 2-4 Developable surfaces 2-5 Second fundamental form 2-6 Euler's theorem 2-7 Dupin's indicatrix 2-8 Some surfaces 2-9 A geometrical interpretation of asymptotic and curvature lines 2-10 Conjugate directions 2-11 Triply orthogonal systems of surfaces CHAPTER 3. THE FUNDAMENTAL EQUATIONS 3-1 Gauss 3-2 The equations of Gauss-Weingarten 3-3 The theorem of Gauss and the equations of Codazzi 3-4 Curvilinear coordinates in space 3-5 Some applications of the Gauss and the Codazzi equations 3-6 The fundamental theorem of surface theory CHAPTER 4. GEOMETRY ON A SURFACE. 4-1 Geodesic (tangential) curvature 4-2 Geodesics 4-3 Geodesic coordinates 4-4 Geodesics as extremals of a variational problem 4-5 Surfaces of constant curvature 4-6 Rotation surfaces of constant curvature 4-7 Non-Euclidean geometry 4-8 The Gauss-Bonnet theorem CHAPTER 5. SOME SPECIAL SUBJECTS 5-1 Envelopes 5-2 Conformal mapping 5-3 Isometric and geodesic mapping 5-4 Minimal surfaces 5-5 Ruled surfaces 5-6 lmaginaries in surface theory SOME PROBLEMS AND PROPOSITIONS APPENDIX: The method of Pfaffians in the theory of curves and surfaces ANSWERS TO PROBLEMS INDEX

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

I migliori risultati di ricerca su AbeBooks

1.

Dirk J. Struik
Editore: Dover Publications Inc., United States (1989)
ISBN 10: 0486656098 ISBN 13: 9780486656090
Nuovi Paperback Quantità: 1
Da
The Book Depository US
(London, Regno Unito)
Valutazione libreria
[?]

Descrizione libro Dover Publications Inc., United States, 1989. Paperback. Condizione libro: New. 2nd Revised edition. 214 x 136 mm. Language: English . Brand New Book. Elementary, yet authoritative and scholarly, this book offers an excellent brief introduction to the classical theory of differential geometry. It is aimed at advanced undergraduate and graduate students who will find it not only highly readable but replete with illustrations carefully selected to help stimulate the student s visual understanding of geometry. The text features an abundance of problems, most of which are simple enough for class use, and often convey an interesting geometrical fact. A selection of more difficult problems has been included to challenge the ambitious student. Written by a noted mathematician and historian of mathematics, this volume presents the fundamental conceptions of the theory of curves and surfaces and applies them to a number of examples. Dr. Struik has enhanced the treatment with copious historical, biographical, and bibliographical references that place the theory in context and encourage the student to consult original sources and discover additional important ideas there. For this second edition, Professor Struik made some corrections and added an appendix with a sketch of the application of Cartan s method of Pfaffians to curve and surface theory. The result was to further increase the merit of this stimulating, thought-provoking text ideal for classroom use, but also perfectly suited for self-study. In this attractive, inexpensive paperback edition, it belongs in the library of any mathematician or student of mathematics interested in differential geometry. Codice libro della libreria AAC9780486656090

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 11,78
Convertire valuta

Aggiungere al carrello

Spese di spedizione: GRATIS
Da: Regno Unito a: Italia
Destinazione, tempi e costi

2.

Dirk J. Struik
Editore: Dover Publications Inc., United States (1989)
ISBN 10: 0486656098 ISBN 13: 9780486656090
Nuovi Paperback Quantità: 1
Da
The Book Depository
(London, Regno Unito)
Valutazione libreria
[?]

Descrizione libro Dover Publications Inc., United States, 1989. Paperback. Condizione libro: New. 2nd Revised edition. 214 x 136 mm. Language: English . Brand New Book. Elementary, yet authoritative and scholarly, this book offers an excellent brief introduction to the classical theory of differential geometry. It is aimed at advanced undergraduate and graduate students who will find it not only highly readable but replete with illustrations carefully selected to help stimulate the student s visual understanding of geometry. The text features an abundance of problems, most of which are simple enough for class use, and often convey an interesting geometrical fact. A selection of more difficult problems has been included to challenge the ambitious student. Written by a noted mathematician and historian of mathematics, this volume presents the fundamental conceptions of the theory of curves and surfaces and applies them to a number of examples. Dr. Struik has enhanced the treatment with copious historical, biographical, and bibliographical references that place the theory in context and encourage the student to consult original sources and discover additional important ideas there. For this second edition, Professor Struik made some corrections and added an appendix with a sketch of the application of Cartan s method of Pfaffians to curve and surface theory. The result was to further increase the merit of this stimulating, thought-provoking text ideal for classroom use, but also perfectly suited for self-study. In this attractive, inexpensive paperback edition, it belongs in the library of any mathematician or student of mathematics interested in differential geometry. Codice libro della libreria AAC9780486656090

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 12,26
Convertire valuta

Aggiungere al carrello

Spese di spedizione: GRATIS
Da: Regno Unito a: Italia
Destinazione, tempi e costi

3.

Dirk J. Struik
Editore: Dover Publications Inc.
ISBN 10: 0486656098 ISBN 13: 9780486656090
Nuovi Paperback Quantità: 7
Da
THE SAINT BOOKSTORE
(Southport, Regno Unito)
Valutazione libreria
[?]

Descrizione libro Dover Publications Inc. Paperback. Condizione libro: new. BRAND NEW, Lectures on Classical Differential Geometry (2nd Revised edition), Dirk J. Struik. Codice libro della libreria B9780486656090

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 9,82
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 6,87
Da: Regno Unito a: Italia
Destinazione, tempi e costi

4.

Struik, Dirk J.; Mathematics
Editore: Dover Publications
ISBN 10: 0486656098 ISBN 13: 9780486656090
Nuovi PAPERBACK Quantità: 1
Da
Movie Mars
(Indian Trail, NC, U.S.A.)
Valutazione libreria
[?]

Descrizione libro Dover Publications. PAPERBACK. Condizione libro: New. 0486656098 Brand New Book. Ships from the United States. 30 Day Satisfaction Guarantee!. Codice libro della libreria 6450391

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 9,82
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 8,79
Da: U.S.A. a: Italia
Destinazione, tempi e costi

5.

Dirk J. Struik
Editore: Dover Publications Inc. (1989)
ISBN 10: 0486656098 ISBN 13: 9780486656090
Nuovi Quantità: 1
Da
PBShop
(Wood Dale, IL, U.S.A.)
Valutazione libreria
[?]

Descrizione libro Dover Publications Inc., 1989. PAP. Condizione libro: New. New Book.Shipped from US within 10 to 14 business days. Established seller since 2000. Codice libro della libreria IB-9780486656090

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 8,03
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 10,64
Da: U.S.A. a: Italia
Destinazione, tempi e costi

6.

Dirk J. Struik
Editore: Dover Publications Inc. (1989)
ISBN 10: 0486656098 ISBN 13: 9780486656090
Nuovi Quantità: 1
Da
Books2Anywhere
(Fairford, GLOS, Regno Unito)
Valutazione libreria
[?]

Descrizione libro Dover Publications Inc., 1989. PAP. Condizione libro: New. New Book. Shipped from US within 10 to 14 business days. Established seller since 2000. Codice libro della libreria IB-9780486656090

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 8,95
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 11,54
Da: Regno Unito a: Italia
Destinazione, tempi e costi

7.

Struik, Dirk Jan
Editore: Dover Pubns (1988)
ISBN 10: 0486656098 ISBN 13: 9780486656090
Nuovi Quantità: > 20
Da
Paperbackshop-US
(Commerce, GA, U.S.A.)
Valutazione libreria
[?]

Descrizione libro Dover Pubns, 1988. PAP. Condizione libro: New. New Book. Shipped from US within 10 to 14 business days. Established seller since 2000. Codice libro della libreria V0-9780486656090

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 7,21
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 13,88
Da: U.S.A. a: Italia
Destinazione, tempi e costi

8.

Mathematics
Editore: Dover Publications
ISBN 10: 0486656098 ISBN 13: 9780486656090
Nuovi Paperback Quantità: 1
Da
BuySomeBooks
(Las Vegas, NV, U.S.A.)
Valutazione libreria
[?]

Descrizione libro Dover Publications. Paperback. Condizione libro: New. Paperback. 240 pages. Dimensions: 8.4in. x 5.3in. x 0.6in.Elementary, yet authoritative and scholarly, this book offers an excellent brief introduction to the classical theory of differential geometry. It is aimed at advanced undergraduate and graduate students who will find it not only highly readable but replete with illustrations carefully selected to help stimulate the students visual understanding of geometry. The text features an abundance of problems, most of which are simple enough for class use, and often convey an interesting geometrical fact. A selection of more difficult problems has been included to challenge the ambitious student. Written by a noted mathematician and historian of mathematics, this volume presents the fundamental conceptions of the theory of curves and surfaces and applies them to a number of examples. Dr. Struik has enhanced the treatment with copious historical, biographical, and bibliographical references that place the theory in context and encourage the student to consult original sources and discover additional important ideas there. For this second edition, Professor Struik made some corrections and added an appendix with a sketch of the application of Cartans method of Pfaffians to curve and surface theory. The result was to further increase the merit of this stimulating, thought-provoking text ideal for classroom use, but also perfectly suited for self-study. In this attractive, inexpensive paperback edition, it belongs in the library of any mathematician or student of mathematics interested in differential geometry. This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN. Paperback. Codice libro della libreria 9780486656090

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 12,36
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 11,99
Da: U.S.A. a: Italia
Destinazione, tempi e costi

9.

Struik, Dirk J.
Editore: Dover Publishers
ISBN 10: 0486656098 ISBN 13: 9780486656090
Nuovi Quantità: > 20
Da
INDOO
(Avenel, NJ, U.S.A.)
Valutazione libreria
[?]

Descrizione libro Dover Publishers. Condizione libro: New. Brand New. Codice libro della libreria 0486656098

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 7,68
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 16,66
Da: U.S.A. a: Italia
Destinazione, tempi e costi

10.

Dirk J. Struik, Mathematics
Editore: Dover Publications (1988)
ISBN 10: 0486656098 ISBN 13: 9780486656090
Nuovi Paperback Quantità: 1
Da
Ergodebooks
(RICHMOND, TX, U.S.A.)
Valutazione libreria
[?]

Descrizione libro Dover Publications, 1988. Paperback. Condizione libro: New. 2. Codice libro della libreria DADAX0486656098

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 15,30
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 12,96
Da: U.S.A. a: Italia
Destinazione, tempi e costi

Vedi altre copie di questo libro

Vedi tutti i risultati per questo libro