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A few half walls were standing beyond the college gates but aside from that nothing remained of the entire eastern section of the city. 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. New features of this revised and expanded second edition include: a chapter on non-Euclidean geometry, a subject that is of great importance in the history of mathematics and crucial in many modern developments. The main results can be reached easily and quickly by making use of the results and techniques developed earlier in the book. Coverage of topics such as: parallel transport and its applications; map colouring; holonomy and Gaussian curvature. I need a student solution manual in English with book name and authors. Can you recommend any that includes the introduction to differential geometry, tensors and Christoffel symbols. Applied Mathematics Differential Geometry Tensor Analysis Mathematics Share Facebook Twitter LinkedIn Reddit Get help with your research Join ResearchGate to ask questions, get input, and advance your work. Join for free Log in Most recent answer 2nd Aug, 2020 Omar arturo Cevallos Universidad Tecnica Estatal de Quevedo Excelente aporte a la comunidad universitaria de latinoamerica, abrazos a la distancia Cite Popular Answers (1) 10th Mar, 2014 Valentina Christova-Bagdassarian National Centre of Public Health Protection Dear Artur Sergyeyev, Thanks for the book in Russian. I also purchased one from Amazon. Unfortunately I can not download anything from the provided links to Dovnor. Thanks to all who have helped with links and information. Valentina Cite 18 Recommendations All Answers (27) 8th Mar, 2014 Artur Sergyeyev Silesian University in Opava There is a book Analysis and Algebra on Differentiable Manifolds: A Workbook for Students and Teachers by Gadea and Munoz Masque which probably comes closest to your request for the solution manual (although it's fairly advanced, you can pick quite a few elementary problems from there): Next, while it's not exactly a solution manual, there is Schaum's Outline of Differential Geometry by Lipshutz: It is quite elementary and contains a lot of worked out examples. Finally, there is a problem book in English (but again it's not exactly a solution manual): Mishchenko, A. S.; Solovyev, Yu. P.; Fomenko, A. T. Problems in differential geometry and topology. Maybe it is nos exaxtly what you want, but it can help. Cite 1 Recommendation Deleted profile You might also find David Kay's 'Tensor Calculus', also in the Schaum's Outline Series useful. As with the 'Differential Geometry' volume (and, indeed, all the other books in the series) there is a wealth of completely worked examples in this book. Hope it will help! Regarrs Cite 6 Recommendations 9th Mar, 2014 Valentina Christova-Bagdassarian National Centre of Public Health Protection Thanks, Artur Sergyeyev. These are useful textbooks. Unfortunately, it is probably impossible to find a Russian book, you talk about, regardless of Russian or English, which for me is no difference. Thank you, Ljubomir, Always links available:) There should be more examples. Thank you all. I will consider all proposals at this moment each response is important to me. Valentina Cite 13 Recommendations 9th Mar, 2014 Artur Sergyeyev Silesian University in Opava Dear Valentina, thank you. If the books in Russian are also of interest, here is another small problem book (unfortunately without a solution manual) in Russian available online for free: A. Skopenkov, Basic differential geometry as a sequence of interesting problems, Cite 3 Recommendations 10th Mar, 2014 Valentina Christova-Bagdassarian National Centre of Public Health Protection Dear Artur Sergyeyev, Thanks for the book in Russian. I also purchased one from Amazon. Unfortunately I can not download anything from the provided links to Dovnor. Thanks to all who have helped with links and information. Valentina Cite 18 Recommendations 10th Mar, 2014 Ljubomir Jacic Technical College Pozarevac My dear Valentina, please find a book on differential geometry. Clean 100! It contains Christo?el symbols,pp 96, 130. Cite 8 Recommendations 10th Mar, 2014 Valentina Christova-Bagdassarian National Centre of Public Health Protection Dear Ljubomir, This is a very very nice link. Thank you! Your links are always great. With a lot of corrected exercices included. A nice student solution manual in differential geometry is the following: P.M. Gadea, J. Munoz Masque, Analysis and Algebra on Differentiable Manifolds: A Workbook for Students and Teachers You can find them in: Cite 4 Recommendations 25th Apr, 2014 Valentina Christova-Bagdassarian National Centre of Public Health Protection Dear Mohamed Behayou, Thank you very much. This book can really be taken from that site. A very useful book. I found all three books. Valentina Cite 7 Recommendations 26th Apr, 2014 Mohamed Amine Bahayou Universite Kasdi Merbah Ouargla You are welcome. Cite 1 Recommendation 14th Jul, 2014 James F Peters University of Manitoba Here is an entire book on differential geometry (complete with solutions): T. Shifrin, Differential Geometry: A First Course in Curves and Surfaces, 2014: In addition to many problems and solutions, this book has a high comfort level for beginners with its generous provision of drawings (see, e.g., p. 50). Cite 9 Recommendations 15th Jul, 2014 Valentina Christova-Bagdassarian National Centre of Public Health Protection Thank you, Professor Peters for the usseful link. Cite 5 Recommendations 13th Jun, 2019 Cristiano Mascarenhas Universidade Estadual de Feira de Santana i am taking a course in riamannian geometry and i would like to get acess a some issues about exercises solved in conexion, geodesics and curvature.Cite 14th Jun, 2019 Cristiano Mascarenhas Universidade Estadual de Feira de Santana thank you Irving, but i need material about Riemannian Geometry in manifolds. About Connection, geodesics, curvature and on. Have a little about what i need in Christian Baer. Thank you and best wishes. It treats those topics.Cite 8th Jul, 2020 Anton Vrdoljak University of Mostar Thanks a lot to all colleagues for links which their provided here. Cite Can you help by adding an answer. Answer Add your answer Similar questions and discussions Can anyone recommend a good book on manifolds or differential geometry of curves and surfaces. Question 7 answers Asked 26th Apr, 2014 Shakeel Ahmed Khan I have an interest in differential geometry. Question 33 answers Asked 5th Dec, 2019 Mohamed Amine Bahayou Dear colleagues, Could you please recommend conferences and Schools in 2020-2021 having Geometry (Symplectic, Lie theory) and topology (differential, low dimensional) as their main topics. View What is a mathematical way to calculate the Earth's position on its orbit in terms of time. Question 26 answers Asked 4th Jun, 2017 Ada Chen So I firstly got the formula of the Earth's elliptical orbit on an x-y axis (The inclination was ignored) with sun being the origin (0,0). The sun-earth distance can be easily obtained. Then I sunstitued the values into the orbit speed formula to get the instantaneous velocity f(v) of the Earth. However, the formula got way to complicated and I just couldn't integrate it anymore (a fraction with the denominator being a square root inside of another square root). If anyone is willing to check my workout I am happy to upload it: ) Could someone please kindly offer me a way of doing it. But nothing too complicated though. A graphic calculator is all I have got. P.S. English is not my first language so please tell me if I am not making any sense. Thank you so much! Ada View Is there any method to know the number of topologies defined on a set. Question 33 answers Asked 21st Jul, 2013 Gauree Shanker How many topologies can one define on a particular set. View What are the most active research areas in mathematics today.Discussion 79 replies Asked 19th Oct, 2018 Mahfouz Rostamzadeh Mathematics has been always one of the most active field for researchers but the most attentions has gone to one or few subjects in one time for several years or decades. I'd like to know what are the most active research areas in mathematics today. View A possible relation between various aspects of group theory(Geometric group theory, amenability,etc.) and statistics and probability Discussion 4 replies Asked 13th Jun, 2021 Ali Taghavi Dear colleagues. In the following question i try to extend the concept of characters in group theory to a wilder class of functions. Please see this post: So this question can be a starting point to translate some concepts in geometric group theory or theory of bamenability of groups in terms of notations and terminologies in statistics and probability theory. Do you have any ideas, suggestions or comments. Thank you View The Quantization Problem: Modern Quantization Procedures and Current Status Discussion 24 replies Asked 26th Aug, 2020 Deleted profile The quantization problem is one of the most well-known current problems of theoretical and mathematical physics. There are some standard quantization procedures (such as geometric quantization), which can be applied to the classical theories whose phase space is a symplectic manifold. There are other approaches (such as formal deformation quantization) which can be applied more generally to Poisson manifolds, but building only a perturbative quantum theory.Any contribution or comment will be most appreciated. EDIT (to explain more clearly my goal). These works are organized to show that higher categorical language should be a natural candidate to work on Hilbert's sixth problem. On the other hand, there are no obstructions of Groenewold-type. I was then planning to wrote a second part to this review, now focused only on the existing quantization processes based on higher category theory, their applications and their limitations. In I introduced a poll asking if this second review could be an interesting idea. Since the supremacy voted in favor, I decided to start a discussion here and on mathoverflow, trying to discover what are the people which can contribute concretely. I noticed that in more general definitions of manifolds like the approach of Frolicher, Michor and Kriegl at some point also an atlas is introduced, though the initial definition does not require it. More concretely, in my recent preprint Preprint Monad Geometry - A new differential calculus I define a geometry and even Ehresmann-connections for this geometry without ever speaking of an atlas. Is an equivalent notion of differentiable structure then implicit or forced by the existence of a 1-linear Ehresmann connection as I define it. Thank you for any enlightening contributions to this question that should be familiar to any differential geometer. Subsidiary question: what about other geometries (algebraic, etc. ) ? View What is the advantage of adding research papers to arxiv before publishing in a journal or conference. Question 26 answers Asked 18th Oct, 2018 Kalyan Katikapalli I have seen many people adding their papers to arxiv, before publishing in a journal or conference. What is the advantage in it. Geometria algebraica. Geometria diferencial. Matematicas aplicadas. View Tensor Analysis and Differential Geometry Article Jan 1962 C. E. Springer T. Y. Thomas View Tensor Analysis of Networks Article Jan 1965 G. Kron View Got a technical question. Get high-quality answers from experts. Keep me logged in Log in or Continue with LinkedIn Continue with Google Welcome back. Keep me logged in Log in or Continue with LinkedIn Continue with Google No account. All rights reserved. Terms Privacy Copyright Imprint. 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