Serge Lang (French: [lɑ̃ɡ]; May 19, 1927 – September 12, 2005) was a French-American mathematician and activist who taught at Yale University for most of his career. He is known for his work in number theory and for his mathematics textbooks, including the influential Algebra. He received the Frank Nelson Cole Prize in 1960 and was a member of the Bourbaki group.
As an activist, Lang campaigned against the Vietnam War, and also successfully fought against the nomination of the political scientist Samuel P. Huntington to the National Academies of Science. Later in his life, Lang was an HIV/AIDS denialist. He claimed that HIV had not been proven to cause AIDS and protested Yale's research into HIV/AIDS.
I have encountered this theorem in Serge Lang's linear algebra:
Theorem 3.1. Let F: V --> W be a linear map whose kernel is {O}, then If v1 , ... ,vn are linearly independent elements of V, then F(v1), ... ,F(vn) are linearly independent elements of W.
In the proof he starts with C1F(v1) +...
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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...
Homework Statement
Consider only values of ##x \geq 0##, and let ##f(x) = -x + \frac {x^3}{3!} + \sin x##. Show whether ##f## is increasing or decreasing.
Homework Equations
f(x) = -x + \frac {x^3}{3!} + \sin x
f'(x) = -1 + \frac {x^2}{2} + \cos x
The Attempt at a Solution
I know that...
I have a copy of both Lang's text and Larson and Edwards' text, and was wondering which would be best for someone looking for a deeper understanding of Calculus. Any and all advice is welcome here! I was working through Kleppner & Kolenkow's Introduction to Mechanics and decided I need a much...
Hello, all. I am reading Serge Lang's "A First Course in Calculus" in order to get a better understanding of the topic. I thought I would read his review of fundamental concepts, and, naturally, it has been a breeze so far. However, I am stumped when trying to work out this problem:
I do not...
Author: Serge Lang
Title: Algebra
Amazon Link: https://www.amazon.com/dp/038795385X/?tag=pfamazon01-20
Prerequisities: Good knowledge of undergrad Algebra
Level: Grad
Table of Contents:
The Basic Objects of Algebra
Groups
Monoids
Groups
Normal subgroups
Cyclic groups
Operations...
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...
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
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"...
Homework Statement
I've been going through a book called "Short Calculus: The Original Edition of A First Course in Calculus," by Serge Lang. It says, " The derivative of a^x is a^x (log a)." But everything else I look at says the derivative of a^x is a^x (ln a). Since ln a and log a are...
During my freshman year at Yale, I took a course in multivariable calculus under the tutelage of Prof. Serge Lang. He was also a fellow of my college, where I had the opportunity to dine with him. He was a very activated, no B. S. person whose life revolved around academics. I am honored to...