![]() Two other excellent books are Spivak - Calculus, the problems in this book are very good, but much more difficult than Apostol. To learn mathematics is to do mathematics. You are absolutely required to do all the exercises. These are books with excellent exposition, and solution manuals are available when needed. Linear Algebra by Insel, Spence & FriedbergĤ. Tom Apostol Calculus Vol 1 (stop at Linear Algebra)ģ. Supposing you have at least high school mathematics under the belt:Ģ. (this book is a brilliant exercise-guided approach that helps you build up your knowledge step by step + solutions are provided). (there are solutions online for the 2nd edition) ![]() (I believe you can find solutions to the 2nd edition online) In their absence, it is OK to ask on StackExchange or #math on EFnet.įirst let's start with a few books to prep you for college-level maths: Also, solutions are a must have, without them you are almsot totally lost. ![]() For a total newcomer that book will leave you completely helpless. I studied Analysis in the Uni, and even in that environment Rudin is pretty bad. Let's go with 'comparatively slim.' In my defense, most Dover books ARE comparatively concise.) (Second Edit: Kline doesn't seem particularly slim at 900ish pages, but it is well-liked. (Edit: Morris Kline was the Dover book I was thinking of, and I've heard good things about Serge Lang's introductory calculus book.) ĭover and Springer have some pretty neat slim volumes that occupy the 'less rigor/intended for applications' side, though the names and authors escape me right now. Apostol also exists in the same space as Spivak, and was (possibly still is) the calculus textbook of choice at Caltech.įor a more applied approach in line with the general content of the enormous undergrad omnitext, this seems cool. If you want to practice computational applications, you may have to supplement it with some other exercises and material, from what I've heard, though. It exists in an interesting space between a calculus textbook and an introduction to real analysis, and you'll see stuff like the intermediate value theorem proven rigorously. I've not worked much of it myself, but the exercises seem very well chosen from the sections I've read. If you're interested in rigorously proving how calculus works, starting from the structure of the real numbers, I hear nothing but fantastic things about Spivak. There are lots of cool options, depending on what you want to do with it. (IIRC, doesn't the introduction say that some are meant more to be attempted than actually solved?) Some of the problems are absolutely wicked, but in a good way. ![]() I also dig Herstein's problem sets, there's a good breadth of difficulty, and they really elucidate key ideas, or point to other topics not covered in the text. The people who update/glue stuff onto the 23rd edition of those 1200-page doorstop undergrad calculus texts would do well to revisit books of that era and learn the difference between "engaging" and "patronizing." That's not a dig at the books not being Spivak or Apostol - there's absolutely a place for that kind of undergrad textbook (though maybe not 1200 pages of it, updated every three years) - but in terms of attempts at being 'relevant' that transparently read as 'Hi, fellow kids!' The text is plenty rigorous, without too getting bogged down in formalism, and he also manages to come across as personable and funny in a way that doesn't feel condescending. Developing local teaching talent could become a significant industry as well. Any product manager working in the ML space would need to do it. A way for poorly paid TAs to make some money and get a paid trip. ![]() It's good for solo travellers, can qualify as business job training, or employee rewards/incentive/teambuilding. It's not for everyone, but the people it's for, it's really for. Priced at a small premium to whatever all inclusives are. Idea is ~2-3h interactive lecture session in morning by interesting prof, ideally with no electronics, an optional recommended and personalized TA tutorial in the afternoon to catch anyone up, some fun activities like watching sunset on a sailboat and then using celestial navigation to find your way back, some partnerships with locals on regular stuff like surf lessons, musical performances, etc. There's no exam, maybe just a final problem set you get on the way in and work your way through. So long as you have shade and a blackboard, you have everything you need. (5-7 day probably better) I'd thought about using them, but being totally indoors is a waste of being somewhere. Languages and yoga vacations are a huge thing and they typically do them outside conference rooms. ![]()
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |