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41. Affine Differential Geometry: Geometry of Affine Immersions (Cambridge Tracts in Mathematics) by Katsumi Nomizu, Takeshi Sasaki | |
Paperback: 280
Pages
(2008-06-05)
list price: US$55.00 -- used & new: US$50.98 (price subject to change: see help) Asin: 0521064392 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description |
42. Differential Geometry (Wiley Classics Library) by J. J. Stoker | |
Paperback: 432
Pages
(1989-01-18)
list price: US$164.00 -- used & new: US$122.00 (price subject to change: see help) Asin: 0471504033 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description |
43. Differential Geometry (Pure and Applied Mathematics) by T. Okubo | |
Hardcover: 816
Pages
(1987-07-28)
list price: US$250.00 Isbn: 082477700X Canada | United Kingdom | Germany | France | Japan | |
44. Applications of Differential Geometry to Econometrics | |
Hardcover: 334
Pages
(2000-09-18)
list price: US$99.00 -- used & new: US$79.20 (price subject to change: see help) Asin: 0521651166 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description |
45. Differential Geometry in Array Processing by Athanassios Manikas | |
Hardcover: 218
Pages
(2004-11)
list price: US$96.00 -- used & new: US$95.58 (price subject to change: see help) Asin: 1860944221 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Extending the theoretical framework to complex spaces, this invaluable book presents a summary of those results of differential geometry which are of practical interest in the study of linear, planar and three-dimensional array geometries. |
46. Elementary Topics in Differential Geometry (Undergraduate Texts in Mathematics) by John A. Thorpe | |
Hardcover: 276
Pages
(1979-04-16)
list price: US$79.95 -- used & new: US$38.00 (price subject to change: see help) Asin: 0387903577 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (4)
Diff Geo Great textbook
Introduces differential geometry to advanced-calc students The title of this book states, accurately, that its subject matter is 'elementary topics _in_ differential geometry'. This is one of those 'transition' books that introduces students familiar with Subject A to a more-or-less-systematic smattering of elementary topics in Subject B. Here, Subject A is multivariate calculus and Subject B is, of course, differential geometry. Since that's what this book is for, there are way more numbers and pictures in it than you'll ever see in a modern graduate-level differential geometry text. The idea is to show the student the geometric meaning behind all the advanced calculus and help him/her understand _both_ words in the name 'differential geometry'. In short, much of the motivation here is geometric. I liked it a lot and I am still grateful for its highly accessible introduction to a fascinating field. However, I must also add that its approach is not representative of any graduate-level math course I ever took. Of course this is an undergraduate text and isn't supposed to represent graduate-level coursework. Nevertheless, it _may_ give a student the wrong idea about what to expect in more advanced treatments. (Is there some personal history lurking behind that remark? You guess.) An excellent 'transitional' book, then, and highly recommended to readers who want to connect their knowledge of multivariate calculus to the geometry of Euclidean space. It's also a fine example of an expository work on mathematics that remembers its target audience. However, as other reviewers have commented, it needs some answers to the exercises in order to be really useful for self-study.
A good start This is followed by a discussion of geodesics and parallel transport in the next two chapters. The important concept of holonomy is introduced in the exercises along with the Fermi derivative. These ideas are extremely important in physical applications and must be understood in depth if the reader is to go into areas such as general relativity and high energy physics. The next chapter considers the local behavior of curvature on an n-surface via the Weingarten map. The important concept of the covariant derivative is introduced. The concept of a geodesic spray, so important in the theory of differential equations, is introduced in the exercises.The curvature of plane curves is treated in Chapter 10 with the circle of curvature introduced. The Frenet formulas, which relate the tangent and normal vectors to the curvature and torsion, are discussed in the exercises. The curvature of surfaces is discussed later in Chapter 12 with the first and second fundamental form introduced, along with the very important Gauss-Kronecker curvature. And in this chapter the author introduces the idea of local and global properties of an n-surface. Although not rigorous, the discussion is helpful for students first introduced to these concepts. After a nice overview of convex surfaces, the parametrization of surfaces is discussed in the next two chapters, where the inverse function theorem for n-surfaces is proved. This is followed by a consideration of focal points with Jacobi fields discussed in the exercises. More measure-theoretic concepts are discussed in the next chapter on surface area and volume. Partitions of unity are brought in so as to define the integral of an n-form over a compact oreinted n-surface. Exterior products of forms are introduced in the exercises. Soap bubble enthusiasts will appreciate the discussion on minimial surfaces in Chapter 18. Although very short, the author's treatment does bring out the important ideas. Minimal surfaces have taken on particular important in the new membrane theories in high energy physics recently. This is followed by a detailed treatment of the exponential map in Chapter 19. Once again, techniques with a variational calculus flavor are used to characterize geodesics as shortest paths. After a discussion of surfaces with boundary in Chapter 20 the Gauss-Bonnet theorem is proved in Chapter 21 using Stoke's theorem. The discussion of this important result is crystal clear and should prepare the reader for more advanced statements of it in the general context of differentiable manifolds. This is followed by a brief discussion of rigid motions and isometries in the next two chapters. The book ends with ta discussion of Riemannian geometry, a topic of upmost importance in physics and discussed here with care. A very good book and one that will be useful to beginning students of differential geometry, and also physics students going into the areas of gravitational physics or high energy physics.
Another Differential Geometry Book I have an MS in physics, and found this book to be very difficult to get information out of. It has a few nuggets, but can only be seen after going through other books.It might go well with a good lecturer, but as a self-studied person, this is not the way to go. ... Read more |
47. Schaum's Outline of Differential Geometry (Schaum's) by Martin Lipschutz | |
Paperback: 288
Pages
(1969-06-01)
list price: US$18.95 -- used & new: US$10.80 (price subject to change: see help) Asin: 0070379858 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (6)
nice seller
A practicalelementary introduction to classical differential geometry
Slightly Subpar for Mathematical Topics in the Schaum Outline Series
Differential Geometry review
Good as a basic textbook and a source of solve problems |
48. A Comprehensive Introduction to Differential Geometry, Vol. 3 by Michael Spivak | |
Paperback:
Pages
(1975-01-01)
Isbn: 0914098020 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Customer Reviews (1)
correction |
49. Nonlinear Geometrical Analysis: Elementary Methods in Differential Geometry by M. Chaperon | |
Hardcover: 300
Pages
(2010-10-30)
list price: US$35.00 -- used & new: US$35.00 (price subject to change: see help) Asin: 0521361907 Canada | United Kingdom | Germany | France | Japan | |
50. Geometry of Differential Forms (Translations of Mathematical Monographs, Vol. 201) by Shigeyuki Morita | |
Paperback: 321
Pages
(2001-08-28)
list price: US$59.00 -- used & new: US$49.00 (price subject to change: see help) Asin: 0821810456 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description The book by Morita is a comprehensive introduction to differential forms. It begins with a quick introduction to the notion of differentiable manifolds and then develops basic properties of differential forms as well as fundamental results concerning them, such as the de Rham and Frobenius theorems. The second half of the book is devoted to more advanced material, including Laplacians and harmonic forms on manifolds, the concepts of vector bundles and fiber bundles, and the theory of characteristic classes. Among the less traditional topics treated is a detailed description of the Chern-Weil theory. The book can serve as a textbook for undergraduate students and for graduate students in geometry. Customer Reviews (3)
Direct explanation
Self contained introduction to techniques of classifying manifolds.
A very good book. |
51. An Introduction to Differential Geometry with Applications to Elasticity by Philippe G. Ciarlet | |
Paperback: 212
Pages
(2010-11-30)
list price: US$89.95 -- used & new: US$71.97 (price subject to change: see help) Asin: 9048170850 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description This monograph presents the basic theorems of differential geometry in three-dimensional space, including a thorough coverage of surface theory. By means of a series of carefully selected and representative mathematical models this monograph also explains at length how these theorems are used in three-dimensional elasticity and in shell theory. The presentation is essentially selfcontained, with a great emphasis on pedagogy. In particular, no "a priori" knowledge of differential geometry or of elasticity theory is assumed, the only requirements are a reasonable knowledge of basic analysis, functional analysis, and some acquaintance with ordinary and partial differential equations. |
52. Differential geometry by A. V Pogorelov | |
Hardcover: 171
Pages
(1954)
Asin: B0006BSS48 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Customer Reviews (1)
A nice little book on the subject |
53. Elementary Geometry of Differentiable Curves by C. G. Gibson, Chris Gibson | |
Hardcover: 220
Pages
(2001-08-15)
list price: US$117.00 -- used & new: US$93.60 (price subject to change: see help) Asin: 0521804531 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description |
54. Vector Methods Applied to Differential Geometry, Mechanics, and Potential Theory (Dover Books on Mathematics) by D. E. Rutherford | |
Paperback: 144
Pages
(2004-08-11)
list price: US$10.95 -- used & new: US$5.95 (price subject to change: see help) Asin: 0486439038 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description |
55. The Geometry of Filtering (Frontiers in Mathematics) by K. David Elworthy, Yves Le Jan, Xue-Mei Li | |
Paperback: 170
Pages
(2010-11-29)
list price: US$39.95 -- used & new: US$39.95 (price subject to change: see help) Asin: 3034601751 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description The geometry which is the topic of this book is that determined by a map of one space N onto another, M, mapping a diffusion process, or operator, on N to one on M. Filtering theory is the science of obtaining or estimating information about a system from partial and possibly flawed observations of it. The system itself may be random, and the flaws in the observations can be caused by additional noise. In this volume the randomness and noises will be of Gaussian white noise type so that the system can be modelled by a diffusion process; that is it evolves continuously in time in a Markovian way, the future evolution depending only on the present situation. This is the standard situation of systems governed by Ito type stochastic differential equations. The state space will be the smooth manifold, N, possibly infinite dimensional, and the "observations" will be obtained by a smooth map onto another manifold, N, say. We emphasise that the geometry is important even when both manifolds are Euclidean spaces. This can also be viewed from a purely partial differential equations viewpoint as one smooth second order elliptic partial differential operator lying above another, both with no zero order term. We consider the geometry of this situation with special emphasis on situations of geometric, stochastic analytic, or filtering interest. The most well studied case is of one Brownian motion being mapped to another with a consequent skew product decomposition (or equivalently the case of Riemannian submersions). This sort of decomposition is generalised and a key to the rest of the book. It is used to study in particular, classical filtering, (semi-)connections determined by stochastic flows, and generalised Weitzenbock formulae. |
56. Conformal Differential Geometry: Q-Curvature and Conformal Holonomy (Oberwolfach Seminars) by Helga Baum, Andreas Juhl | |
Paperback: 164
Pages
(2010-03-05)
list price: US$29.95 -- used & new: US$22.04 (price subject to change: see help) Asin: 3764399082 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Conformal invariants (conformally invariant tensors, conformally covariant differential operators, conformal holonomy groups etc.) are of central significance in differential geometry and physics. Well-known examples of such operators are the Yamabe-, the Paneitz-, the Dirac- and the twistor operator. The aim of the seminar was to present the basic ideas and some of the recent developments around Q-curvature and conformal holonomy. The part on Q-curvature discusses its origin, its relevance in geometry, spectral theory and physics. Here the influence of ideas which have their origin in the AdS/CFT-correspondence becomes visible. The part on conformal holonomy describes recent classification results, its relation to Einstein metrics and to conformal Killing spinors, and related special geometries. |
57. Foundations of Differential Geometry (Wiley Classics Library) (Volume 1) by Shoshichi Kobayashi, Katsumi Nomizu | |
Paperback: 344
Pages
(1996-02-22)
list price: US$148.00 -- used & new: US$115.00 (price subject to change: see help) Asin: 0471157333 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (3)
I would feel taken
The Definitive Reference for Four Decades
A good book for advanced learner |
58. Geometry of Non-Linear Differential Equations, Backlund Transformations, and Solitons, Part A (Interdisciplinary Mathematics Series No. 12) by Robert Hermann | |
Paperback:
Pages
(1976-03)
list price: US$65.00 Isbn: 0915692163 Canada | United Kingdom | Germany | France | Japan | |
59. Geometry, Topology and Physics, Second Edition (Graduate Student Series in Physics) by Mikio Nakahara | |
Paperback: 596
Pages
(2003-06-04)
list price: US$73.95 -- used & new: US$69.94 (price subject to change: see help) Asin: 0750306068 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (13)
Excellent review of math for (particle) physicists
Too many errors to be useful for study
Geometry Topology and Physics: A condesed view
An excellent book
A great reference book. |
60. Differential Geometric Structures (Dover Books on Mathematics) by Walter A. Poor | |
Paperback: 352
Pages
(2007-06-05)
list price: US$19.95 -- used & new: US$10.00 (price subject to change: see help) Asin: 048645844X Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (4)
Peculiar
not for engineers
Finally in print again
the best intro to diff. geom. ever -- period |
  | Back | 41-60 of 100 | Next 20 |