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1. Differential Geometry by Erwin Kreyszig | |
Paperback: 366
Pages
(1991-06-01)
list price: US$14.95 -- used & new: US$9.07 (price subject to change: see help) Asin: 0486667219 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (16)
Excellent, but Challenging, Introduction
a question about 2nd fundamental form mixed tensor
The best book of Differential Geometry ever written !!!
Old Fashioned
Very well written and informative |
2. Elementary Differential Geometry (Springer Undergraduate Mathematics Series) by A.N. Pressley | |
Paperback: 395
Pages
(2010-03-18)
list price: US$49.95 -- used & new: US$35.11 (price subject to change: see help) Asin: 184882890X Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Curves and surfaces are objects that everyone can see, and many of the questions that can be asked about them are natural and easily understood. Differential geometry is concerned with the precise mathematical formulation of some of these questions. It is a subject that contains some of the most beautiful and profound results in mathematics yet many of these are accessible to higher-level undergraduates. Elementary Differential Geometry presents the main results in the differential geometry of curves and surfaces suitable for a first course on the subject. Prerequisites are kept to an absolute minimum – nothing beyond first courses in linear algebra and multivariable calculus – and the most direct and straightforward approach is used throughout. New features of this revised and expanded second edition include:
Praise for the first edition: "The text is nicely illustrated, the definitions are well-motivated and the proofs are particularly well-written and student-friendly…this book would make an excellent text for an undergraduate course, but could also well be used for a reading course, or simply read for pleasure." Australian Mathematical Society Gazette "Excellent figures supplement a good account, sprinkled with illustrative examples." Times Higher Education Supplement Customer Reviews (7)
Definately a good begineers book
Very appropriate for self-study
Written to teach rather than to impress
An enjoyable text on the subject!
Dissapointing |
3. Differential Geometry of Manifolds by Stephen Lovett | |
Hardcover: 450
Pages
(2010-06-29)
list price: US$79.00 -- used & new: US$63.20 (price subject to change: see help) Asin: 1568814577 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (1)
Nice! Very clear, concise, rigorous reader-friendly introduction to differential manifolds |
4. Elementary Differential Geometry, Revised 2nd Edition, Second Edition by Barrett O'Neill | |
Hardcover: 520
Pages
(2006-04-10)
list price: US$96.95 -- used & new: US$46.20 (price subject to change: see help) Asin: 0120887355 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (10)
O'Neil
Introduce Some Of The Main Ideas Of Differential Geometry
Definitely worth checking out
Introductory level text with empasis on intuition examples and exercise.
Cartan's formulation of differential geometry taken up here. |
5. Lectures on Classical Differential Geometry: Second Edition by Dirk J. Struik | |
Paperback: 240
Pages
(1988-04-01)
list price: US$12.95 -- used & new: US$7.85 (price subject to change: see help) Asin: 0486656098 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (5)
The most consistent reliableand readable so far
Very Readable Work on Classical Differential Geometry
classical
Good treatment of classical differential geometry However, Struik can't be used to understand what is happening today. For these purposes,books by O'Neill and do Carmo would be more appropriate. The discussion of manifolds and coordinate charts, the discussion of connection forms, differential forms, covariant derivatives, exterior derivatives, pullbacks and pushforwards can be found in these texts. This is the language of modern geometry.It leads on naturally to tensors, fibre bundles, de Rham cohomology and so on and so forth.The emphasis in modern geometry is on global phenomena, the interaction between local and global (e.g. Morse theory or De Rham cohomology), and the attempt to do everything in an algebraic setting (projective modules, spectral sequences, categories etc.) For this purpose, Struik is useless, though he does have some coverage of forms (he calls them by their earlier name of 'pfaffians'). The price of the book makes it an attractive purchase.
Struik's book - a classic on classical differential geometry |
6. Differential Geometry of Curves and Surfaces by Thomas Banchoff, Stephen Lovett | |
Hardcover: 200
Pages
(2010-03-15)
list price: US$49.00 -- used & new: US$39.20 (price subject to change: see help) Asin: 1568814569 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description |
7. Differential Geometry of Curves and Surfaces by Manfredo Do Carmo | ||
Paperback: 503
Pages
(1976-02-11)
list price: US$84.00 -- used & new: US$44.27 (price subject to change: see help) Asin: 0132125897 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | ||
Editorial Review Product Description Customer Reviews (21)
Highly recommend
A must of its kind
Good content, cheaply manufactured
classical
Great Potential - If Only a 2nd Edition Were in the Works |
8. Fundamentals of Differential Geometry (Graduate Texts in Mathematics) by Serge Lang | |
Hardcover: 564
Pages
(1998-12-30)
list price: US$74.95 -- used & new: US$50.99 (price subject to change: see help) Asin: 038798593X Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (1)
Complete but lacking unity All theseshortcomings don't mean that the book is bad. Quite the opposite: It is avery complete survey on modern differential geometry, including from thefundamentals up to recent results. The graduate student and the workingmathematician will find it very useful. ... Read more |
9. A Comprehensive Introduction to Differential Geometry, Vol. 2, 3rd Edition by Michael Spivak | |
Hardcover:
Pages
(1999-01-01)
list price: US$40.00 -- used & new: US$34.01 (price subject to change: see help) Asin: 0914098713 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Customer Reviews (3)
Long Journey - no damages
A Comprehensive Introduction to Differential Geometry, Vol. 2, 3rd Edition
Wonderful exposition of the foundations of Curvature and Connections |
10. A Geometric Approach to Differential Forms by David Bachman | |
Paperback: 133
Pages
(2006-08-30)
list price: US$54.95 -- used & new: US$43.62 (price subject to change: see help) Asin: 0817644997 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description The modern subject of differential forms subsumes classical vector calculus. This text presents differential forms from a geometric perspective accessible at the sophomore undergraduate level. The book begins with basic concepts such as partial differentiation and multiple integration and gently develops the entire machinery of differential forms. The author approaches the subject with the idea that complex concepts can be built up by analogy from simpler cases, which, being inherently geometric, often can be best understood visually. Each new concept is presented with a natural picture that students can easily grasp. Algebraic properties then follow. This facilitates the development of differential forms without assuming a background in linear algebra. Throughout the text, emphasis is placed on applications in 3 dimensions, but all definitions are given so as to be easily generalized to higher dimensions. A centerpiece of the text is the generalized Stokes' theorem. Although this theorem implies all of the classical integral theorems of vector calculus, it is far easier for students to both comprehend and remember. The text is designed to support three distinct course tracks: the first as the primary textbook for third semester (multivariable) calculus, suitable for anyone with a year of calculus; the second is aimed at students enrolled in sophomore-level vector calculus; while the third targets advanced undergraduates and beginning graduate students in physics or mathematics, covering more advanced topics such as Maxwell's equations, foliation theory, and cohomology. Containing excellent motivation, numerous illustrations and solutions to selected problems in an appendix, the material has been tested in the classroom along all three potential course tracks. Customer Reviews (7)
Kindle version is acceptable, even if not perfect
Not on the Kindle
A painless path to some important results
A very nice introduction to forms
A good place to start and objective accomplished |
11. Modern Differential Geometry of Curves and Surfaces with Mathematica, Third Edition (Studies in Advanced Mathematics) by Alfred Gray, Elsa Abbena, Simon Salamon | |
Hardcover: 1016
Pages
(2006-06-21)
list price: US$96.95 -- used & new: US$70.85 (price subject to change: see help) Asin: 1584884487 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description The approach of this book is at times more computational than is usual for a book on the subject. For example, Brioshi’s formula for the Gaussian curvature in terms of the first fundamental form can be too complicated for use in hand calculations, but Mathematica handles it easily, either through computations or through graphing curvature. Another part of Mathematica that can be used effectively in differential geometry is its special function library, where nonstandard spaces of constant curvature can be defined in terms of elliptic functions and then plotted. Using the techniques described in this book, readers will understand concepts geometrically, plotting curves and surfaces on a monitor and then printing them. Containing more than 300 illustrations, the book demonstrates how to use Mathematica to plot many interesting curves and surfaces. Including as many topics of the classical differential geometry and surfaces as possible, it highlights important theorems with many examples. It includes 300 miniprograms for computing and plotting various geometric objects, alleviating the drudgery of computing things such as the curvature and torsion of a curve in space. Customer Reviews (3)
Modern Differential Geometry of Curves and Surfaces with Mathematica, Third Edition
Very comprehensive, modern textbook and reference
Posted notebooks not current. |
12. Differential Geometry and Relativity Theory: An Introduction (Pure and Applied Mathematics) by Richard L. Faber | |
Hardcover: 272
Pages
(1983-05-26)
list price: US$90.95 -- used & new: US$78.96 (price subject to change: see help) Asin: 082471749X Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Customer Reviews (3)
10 stars ....
Highly recommended. Shame about the price The remainder (two-thirds of the book) provides one of the most readable introductions to special and general relativity that I have ever come across. Because of the geometric approach, modest prerequisites and limited space, there is no treatment of relativistic mechanics, electrodynamics or the 'matter' field equations, and actually no formal development of tensor calculus. Within these constraints, it is amazing what the author does manage to cover. You will be led easily through the vacuum field equations, Schwarzschild solution, perihelion precession, light-bending ... If this book had been twice the length - more comprehensive but in the same style - it could have been a classic. As it is, it does not seem to be anywhere near as widely used as it deserves to be .. Surely this is a prime candidate for a ..Dover edition? Until then, get it from the library.
A very accessible book - well worth a look |
13. Differential Geometry and Lie Groups for Physicists by Marián Fecko | |
Paperback: 713
Pages
(2011-01-01)
list price: US$65.00 -- used & new: US$65.00 (price subject to change: see help) Asin: 0521187966 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (5)
Excellent reference for self study
Fairly good content, very bad exposition
The best book on the subject
Differential geometry
not for starter or self-learning |
14. A Comprehensive Introduction to Differential Geometry, Vol. 1, 3rd Edition by Michael Spivak, Michael Spivak | |
Hardcover:
Pages
(1999-01-01)
list price: US$50.00 -- used & new: US$50.00 (price subject to change: see help) Asin: 0914098705 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Customer Reviews (10)
Vol 1 of a series -- sets a high mark to follow!
One of the best for Differential Geometry
Charming
Not the best
Great book for amatures |
15. Differential Geometry, Lie Groups, and Symmetric Spaces (Graduate Studies in Mathematics) by Sigurdur Helgason | |
Hardcover: 641
Pages
(2001-06-12)
list price: US$76.00 -- used & new: US$51.30 (price subject to change: see help) Asin: 0821828487 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Helgason begins with a concise, self-contained introduction to differential geometry. He then introduces Lie groups and Lie algebras, including important results on their structure. This sets the stage for the introduction and study of symmetric spaces, which form the central part of the book. The text concludes with the classification of symmetric spaces by means of the Killing-Cartan classification of simple Lie algebras over $\mathbf{C}$ and Cartan's classification of simple Lie algebras over $\mathbf{R}$. The excellent exposition is supplemented by extensive collections of useful exercises at the end of each chapter. All the problems have either solutions or substantial hints, found at the back of the book. For this latest edition, Helgason has made corrections and added helpful notes and useful references. The sequels to the present book are published in the AMS's Mathematical Surveys and Monographs Series: Groups and Geometric Analysis, Volume 83, and Geometric Analysis on Symmetric Spaces, Volume 39. Sigurdur Helgason was awarded the Steele Prize for Differential Geometry, Lie Groups, and Symmetric Spaces and Groups and Geometric Analysis. Customer Reviews (3)
Superb Treatise and Indispensible Reference
Unsurpassed, but demanding
Semisimple( Simple)->Bad |
16. Differential Geometry: Curves - Surfaces - Manifolds, Second Edition by Wolfgang KÃ¼hnel | |
Paperback: 380
Pages
(2005-12-13)
list price: US$51.00 -- used & new: US$40.80 (price subject to change: see help) Asin: 0821839888 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (5)
elegant work
Fast moving
A excellent introduction for the 21st century
A beautiful geometry
Attractive book on differential geometry |
17. Riemannian Geometry by Manfredo P. do Carmo | |
Hardcover: 320
Pages
(1992-01-01)
list price: US$54.95 -- used & new: US$32.97 (price subject to change: see help) Asin: 0817634908 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description University of Pennsylvania, PhiladelphiaUniversity of Connecticut, StorrsDuke University, Durham, NCCalifornia Institute of Technology, PasadenaUniversity of Washington, SeattleSwarthmore College, Swarthmore, PAUniversity of Chicago, ILUniversity of Michigan, Ann Arbor "In the reviewer's opinion, this is a superb book which makes learning a real pleasure." - Revue Romaine de Mathematiques Pures et Appliquees "This main-stream presentation of differential geometry serves well for a course on Riemannian geometry, and it is complemented by many annotated exercises." - Monatshefte F. Mathematik "This is one of the best (if even not just the best) book for those who want to get a good, smooth and quick, but yet thorough introduction to modern Riemannian geometry." - Publicationes Mathematicae Contents: Differential Manifolds * Riemannian Metrics * Affine Connections; Riemannian Connections * Geodesics; Convex Neighborhoods * Curvature * Jacobi Fields * Isometric Immersions * Complete Manifolds; Hopf-Rinow and Hadamard Theorems * Spaces of Constant Curvature * Variations of Energy * The Rauch Comparison Theorem * The Morse Index Theorem * The Fundamental Group of Manifolds of Negative Curvature * The Sphere Theorem * Index Series: Mathematics: Theory and Applications Customer Reviews (8)
Excelent book.
Needs a table of symbols
Concise and clear
Best 1st semester Riemannian Geometry book after 1 semester DG
Definitely a good start |
18. Differential Geometry of Three Dimensions by C. E. Weatherburn | |
Hardcover:
Pages
(1947)
Asin: B000NPWM4E Canada | United Kingdom | Germany | France | Japan | |
19. A Comprehensive Introduction to Differential Geometry, Vol. 4, 3rd Edition by Michael Spivak | |
Hardcover:
Pages
(1999-01-01)
list price: US$45.00 -- used & new: US$43.31 (price subject to change: see help) Asin: 091409873X Canada | United Kingdom | Germany | France | Japan | |
20. Manifolds and Differential Geometry (Graduate Studies in Mathematics) by Jeffrey M. Lee | |
Hardcover: 671
Pages
(2009-11-25)
list price: US$89.00 -- used & new: US$89.00 (price subject to change: see help) Asin: 0821848151 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (1)
FINALLY, AN EXCELLENT BOOK IN MODERN DIFFERENTIAL GEOMETRY! |
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