Dear Physics Forum friends,
I am currently stuck with the following question about the integer optimization:
"Produce a family of 0,1 knapsack sets (having an increasing number n of variables) whose associated family of minimal covers grows exponentially with n."
My thought is that I need to...
I thought Weinberg is often used as a secondary reading, following from the standard course in undergraduate QM. If I am not mistaken, the book is geared toward his book in the QFT. I always thought Shankar is a best introductory book.
I think you misread my post. I did ask faculties for research in their specialized fields, sometimes incorporating them as a main theme of my ideas (I also mentioned that I read their papers too). The research project is a requirement for my major, but it seems that I have hard time acquiring...
Hi! Just to give a second thought about the book, you might be interested in "Algebra: Chapter 0" by Aluffi. I am not sure if the group study over online is effective though. You might be interested in asking that question to the Math Stack Exchange or Art of Problem Solving as I believe both...
I place Engelking's two books and Singer/Thorpe above Munkres. Engelking covers so many topics in the general topology in details, and has gazillions problems and conjectures with original papers to read. Singer/Thorpe and Engelkin's another book provides really good introduction to the...
If you are willing to put a lot of time and your have a basic understanding of proof techniques, yes by all means! Since you took real analysis, you are more than ready! If you would like to learn basic overviews of the different branches of topology, but not in great depth, I recommend other...
Well, it is considered that one learned every possible topics in the undergraduate- and graduate-level in general and set-theoretic topology after reading Engelking. Have you read Engelking? Not only it covered all topics, including ones currently searched, in the general and set-theoretic...
Just out of curiosity, I am curious what do you mean by Marion's screwing up? I am actually considering buying his latest edition to do more problems, which were lacking at Landau/Lifshitz.
The OP should also consider L/L's VOl. I, which is great book for first introduction to the mechanics...
I strongly recommend George Simmon's "Calculus with Analytic Geometry". He writes very clear, sophisticated exposition for both high schools and beginning undergraduates. He also has excellent problems sets. I also recommend APEX Calculus, which is free to download and also has fascinating...
Thanks for your advice! My interests are in the complex analysis, differential geometry, and probability theory, and their applications to problems in the information geometry. I actually took both relevant undergraduate and graduate courses in those mathematical branches, so I think I am...
I am an undergraduate pursuing mathematics and computer science in the research university at U.S. Inspired from the applications of algebra to math and statistics, I have been trying to find a suitable project in the mathematics with supervision from a faculty member, or a reading course in...
I strongly recommend "General Topology" by Ryszard Engelking, which is regarded as a BIBLE by many set-theoretic topologists. If you read this book, you practically mastered the topology. If you want to learn the basics of general topology, differential topology, and algebraic topology, I...
Thanks for your advice! I am just going to read both Liu and Shafarevich. How much do I have to know about varieties before moving on to sheaves and schemes? It seems that Shafarevich's first volume has an extensive treatment of the varieties on the projective space, but I am not sure if all...
Dear Professor mathwork,
Have you read a book called "Algebraic Geometry and Arithmetic Curves" by Qing Liu? I heard it resembles EGA a lot, so I borrowed it and read side to side with Mumford's The Red Book. Which one is better for building knowledge for EGA?