Basic mathematics Definition and 21 Threads

Relevant Rules: N5: -(a+b) = - a - b N4: a = -(-a) N2: a + (-a) = 0 and -a + a = 0 I tried just manipulating -(a - b) with the rules to get the answer: -(a - b) = -(a + (-b)) With N5: = - a + (-(-b)) With N4: = - a + b Commutativity: b - a The provided solution in the book used N2 to prove it...

Sincere apologies if this is the wrong place to post this- I fell through the cracks in elementary and school earning "pity passes" from well meaning teachers, despite going to summer school every year I never truly learned anything, eventually I was able to guess my way to the minimum passing...

I Bonds are compounded semi-annually. What's the equation for an I Bond? https://www.wallstreetmojo.com/series-i-bond/ Overall Rate = [Fixed interest rate + (2 x bi-annual inflation rate) + (Fixed interest rate x bi-annual inflation rate)] Say the first 6 months is 9%, the next six months is 6%...

I want to review early mathematics to cover the gaps in my knowledge, yet I'm struggling with where to start, or more precisely, how? Should I just go into Lang's book and start developing a sense for proofs and mathematical rigour while also understanding the topics that I missed in school? Or...

Hello, as the title states, which book is better for learning Precalculus? I heard David Cohen's is much more application/computational based and is better for learning Precalculus rather than Lang's. However, Lang is also good as well because he doesn't focus on plug and chug, but rather...

Equation 9.2.25 defines the inner product of two vectors in terms of their components in the same basis. In equation 9.2.32, the basis of ## |V \rangle## is not given. ## |1 \rangle ## and ## |2 \rangle ## themselves form basis vectors. Then how can one calculate ## \langle 1| V \rangle ## ? Do...

Hello, I've been trying to improve my algebra since I've never been particularly good with math. I'm going through Serge Lang's Basic Mathematics textbook and while I have been learning a lot his proof-based exercises are a pain to get through and the back of the book only provides answers for...

< Mentor Note -- thread moved to HH from the technical math forums, so no HH Template is shown > Hello. I'm currently working my way through Lang's Basic Mathematics and cannot make sense of this question: Show that if n is a positive integer at most equal to m, then {m \choose n}+{m\choose...

This might be a silly question and an obvious one, it's something I just wanted confirmation/clarification on. I've been recently reading a lot of mathematical papers/journals from around the world and have noticed something in particular. A lot of formulas or things they are postulating use...

Hi. I completed my undergrad major in physics and want to go to grad school for astrophysics. I want to have a year revision of the mathematics needed for astrophysics. What type of math is needed to excel to be a successful astrophysicist. I have some lacking in integration . What others are...

I am sure there must be some ultimate purpose to it. But I just don't understand what the point is of square-rooting. All the math I do is abstract and doesn't apply to real-world situations and the physical world. Is there something to square-rooting numbers that is relatable to the real-world...

Author: Serge Lang Title: Basic Mathematics Amazon Link: https://www.amazon.com/dp/0387967877/?tag=pfamazon01-20 Prerequisities: Mathematics before high school Level: Motivated high-school students, college students Contents: Real numbers, solving equations, logic, geometry, trigonometry...

Lang's "Basic Mathematics" for General GRE Prep From what I've gathered, the math on the General GRE is made up of material primarily covered in high school mathematics. With that said, would working through Serge Lang's "Basic Mathematics" text be beneficial to prepping for the math portion...

I've been googling all over for a solutions manual to the book Basic Mathematics by Serge Lang, but I've only been able to find one for his book on geometry. It's not a terrible problem, but I'm using the book for self-study. At first it seemed that any exercise with multiple parts had at least...

Hey guys, the title basically says it all! I'm looking for a book to work along side Serge Lang's basic Math's book. Something which goes into topics more in depth. I'm out of scratch with my Math's :( Hope someone can point me to a good text! Luke

could anyone recommend me a book which summarises a lot of the precalculus material which I can use as a reference. I don't have much to spend.

Book similar to "Basic Mathematics by Serge Lang" I'm looking for a good book for my son, who wants to be a mathematician like me. He is totally into mathematics! Basically what I need is a "Apostol or Spivak for High School Math". What I mean is: I need a "rigorous mathematician's book"...

hello, I'm 13 years old but i skipped a few years so i am a bit ahead of the normal schedule however I'm not yet at calculus and that kind of stuff, however Christmas is approaching! this means of course good physics and mathematics books the only problem is finding the right ones. I'm currently...

The other day, someone came to me with the deep desire to learn the basics of algebra and he believed it would be best, not to get his information for say...a book, but rather a student. So, I thought it would be evil not to help him. I started off with basic arithmetic put into algebraic...

This seems useful. Arithmetic http://www.bymath.com/studyguide/ari/ari_topics.html Algebra http://www.bymath.com/studyguide/alg/alg_topics.html#Principles Principles of vector calculus http://www.bymath.com/studyguide/alg/sec/alg25.html Lots of good stuff there.