# What is Serge lang: Definition and 13 Discussions

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.

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1. ### I Does this theorem need that Ker{F}=0?

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) +...
2. ### Help with basic binomial coefficient

< 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...
3. ### Serge Lang as undergraduate algebra text

Good day, Did anyone here use Serge Lang's "Algebra" as an undergraduate text?
4. ### Serge Lang: Increasing/Decreasing Function

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...
5. ### Calculus Serge Lang vs Larson & Edwards (Calculus)

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...
6. ### Serge Lang: Inequality Problem

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...
7. ### Algebra Algebra: From Undergrad to Grad | Serge Lang

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...
8. ### Intro Math Is Basic Mathematics by Serge Lang the Right Math Book for You?

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...
9. ### Solutions Manual for Basic Mathematics by Serge Lang?

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...
10. ### A book to work along side 'Basic Mathematics' by Serge Lang

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
11. ### Book similar to Basic Mathematics by Serge Lang

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"...
12. ### Ln vs. log in Short Calculus book by Serge Lang

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...
13. ### Serge Lang multivariable calculus

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...