What subject (suggest book titles, etc.) should I study to get a clear grasping of hypersurfaces,...

What subject (suggest book titles, etc.) should I study to get a clear grasping of hypersurfaces, 2-surfaces, and integration on them, mostly in special relativity (I'm not messing with general relativity yet).

Expert Solution

As others mentioned, special relativity (by definition really) doesn't have anything to do with curved surfaces! Special relativity has a particular metric (minkowski metric) which has no curvature. If your interested in manifolds (particularly integration on them, since integration in minkowski space is pretty trivial) and things like that, you really getting into general relativity.

Although I am sure many people will have pedagogical arguments against the following approach, I will say it anyway... You don't really need to do an in depth study of mathematical SR to do GR. Really once you understand the basic properties of minkowski space, know what a lorenz transformation is, understand things like length contraction, etc, you really should just jump right into GR. One sorta friendly way to go about it is apply SR to E&M (covariant formalization) as a way to play around with tensors a little.

As far as recommendations of what books to get, take a look at Sean Carroll's notes (http://preposterousuniverse.com/grnotes/) and if you like them get his book too! Perhaps also looking at the first two sections will give you a better idea of what you are looking for.

EDIT: After commenting, I thought I would also just post a link to O'Neills Amazon Page. His books are probably more mathematical than what you are looking for, but they could be very useful to someone else.

genius_generous answered 5 months ago

i have a case study : a case study of HP. subject : managing diversity at...

i have a case study : a case study of HP. subject : managing diversity at workplace please answer those two questions : a) what is meant by diversity and what are the different diemensions of diversity mentioned in the case study. (explain with example) b) what are the challenges faced in diversity management? How has HP successfully managed diversity? please visit this websites to read the case study: https://papers.ssrn.com/sol3/papers.cfm?abstract_id=1944511

What Account Titles do I use to record these transactions??? ALSO I HAVe to Keep a...

What Account Titles do I use to record these transactions??? ALSO I HAVe to Keep a running balance of the average per share amount of the common shares. On January 1, 2017, Hum Enterprises Inc. had 64,000 common shares, recorded at $512,000. The company follows IFRS. During the year, the following transactions occurred: Apr. 1 Issued 5,000 common shares at $10 per share. June 15 Declared a 5% stock dividend to shareholders of record on September 5, distributable on September...

How did you get 3.3522? What is the basis and clear formula?

So, it should look something like this: NPV= (150,000) + 55,783 x PVAF NPV = (150,000) + 55,783 x 3.3522 NPV = (150,000) + 186,996 NPV = $36,993.27 How did you get 3.3522? What is the basis and clear formula?

The document should explain i) what the Markowitz model would suggest that investors do (i.e., how...

The document should explain i) what the Markowitz model would suggest that investors do (i.e., how one should invest to achieve a certain investment goal – e.g., 15% expected return – in the 5 country portfolio example, ii) limitations and pitfalls of the Markowitz model, iii) potential mitigations, iv) what the Black-Litterman model does, and v) why it does that. How to explain generally the Markowitz model and Black-Litterman model.

What study method and please describe the use of the study method that has a clear...

What study method and please describe the use of the study method that has a clear connection to the hypothesis? "Person's income can negatively affect their health. The hypothesis for this study will be that the amount of yearly income a person receives has a positive effect on their health. The independent variable will be income as defined by income brackets (operational definition?? not entirely sure “income brackets” is correct for this). The dependent variable will be health." Please no...

Subject: artificial intelligence. Clear answer with example. I need it long enough it's an assignment. QUESTION:1 --...

Subject: artificial intelligence. Clear answer with example. I need it long enough it's an assignment. QUESTION:1 -- IROBOT: SMARTER HOME ROBOTS. QUESTION:2 --- HOW TO USE AI TECHNOLOGY IN THE MEDICAL FIELD ? GIVE ANY ONE SIMPLE EXAMPLE.

How can I get the days to print in order (Monday, Tuesday, Wednesday etc) def summarize_by_weekday(expense_list):...

How can I get the days to print in order (Monday, Tuesday, Wednesday etc) def summarize_by_weekday(expense_list): """ Requirement 3 to display the total amount of money spent on each weekday, aggregated per day. That is, display “Monday: $35”, “Tuesday: $54”, etc., where $35 is the sum of dollar amounts for a ll Mondays present in the data file, $54 is the sum of dollar amounts for all Tuesdays present in the data file, and so on. :param expense_list: :return: None...

1. The "endowment effect" suggest that we will fight harder to get what we do not...

1. The "endowment effect" suggest that we will fight harder to get what we do not have than we will to keep what we have in our possession already. True False 2. Heterodox economics suggests that the hyper-rational nexus of individual consumer behavior may be challenged and ultimately indicates that "fairness" may play into our decision making. True False 3. The idea that we spend ten dollars found differently than ten dollars hard-earned is indicative of...

What should I buy? A study conducted by a research group in a recent year reported...

What should I buy? A study conducted by a research group in a recent year reported that 57% of cell phone owners used their phones inside a store for guidance on purchasing decisions. A sample of 15 cell phone owners is studied. Round the answers to at least four decimal places. Part 1 of 4 (a) What is the probability that six or more of them used their phones for guidance on purchasing decisions? The probability that six or more...

A key idea in this book is that “You get what you measure!” Essentially, this means...

A key idea in this book is that “You get what you measure!” Essentially, this means that performance measures have a great influence on the behavior of managers. Select a company with which you are familiar. Identify three performance measures that the company might use. For each measure, identify a favorable outcome and an unfavorable outcome that might occur because the measure is used to evaluate manager performance.

Question