Learning Numerical Analysis

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[BJ-jbec]

I used that very text for an entire year my senior year of undergrad in math. The funnest class I ever took.

[Danny-hjqg]

Numerical Analysis is also an elective for Computer Science majors.

[Pure_Imagination_]

I’m taking a 4000 level math course in the spring called Scientific Computation. The textbook and course covers basically the same topics. The textbook we are assigned is “Scientific Computing with MATLAB and Octave (4th ed.) by Alfio Quarteroni, Fausto Saleri, and Paola Gervasio”—Springer texts in Computational Science and Engineering.

[topdog]

You can solve real practical problems that can only be solved numerically. It can be very powerful. The polish mathematician who worked out how to do the hydrogen bomb with the so called 'Teller Ulam design' expressed in his book 'Adventures of a Mathematician' his suprise 'a few scribbles on a blackboard can change the course of human affairs.' In Russia, Kantorivich was also a master of numerical methods and he was most useful for them in making the Soviet H bomb. Also the lovely story of Katherine Jonhson on calculating the Apollo mission's trajectory to the moon. Numerical methods are cool af from an applied technology point of view.

[OrdenJust]

Interesting. It looks like chapter one starts with solving nonlinear equations. So this book differs from what I thought was traditional for books of numerical analysis: start by showing the scary effects of roundoff errors because of the representation of real numbers in a finite computer-word size, after which the student is left with the conviction that getting reliable results out of a computer is akin to how Achilles must run his race with the tortoise.

Oh well. Time marches on, I guess. I can remember when the Association of Computing Machinery had loose-leaf binders for the Collected Algorithms of the ACM. State of the art then, even if the algorithms were described in Algol, a language that nobody had a compiler for.

[SequinBrain]

Numerical Analysis by Burden was what we used in APUS, was required for the major. They used Maple to show many of the issues. I liked it and as usual, wish I could have spent more time trying to nail it down.

[chiensyang]

I actually used the 4th edition of this book for my numerical-analysis class.

[mackenziemckenzie]

"Law and Social Norms" by Eric A. Posner is a very pivotal book for those who fail higher math classes. Good for former prisoners too as well as aspiring statesmen. It's challenging for math majors to read; really math oriented syntax.

[mackenziemckenzie]

U.S. Law is logic oriented and therefore math oriented. The book speaks to compromise, negotiation and money (last chapter) in terms of higher logic and math.

[eskay]

Please do review on best math books for Elementary, middle and high school.

[KamBha]

Numeric analysis sounds interesting to me as a programmer. What would be considered a pre-requisite to understanding this? Is it calculus and linear algebra?

[sophiaisabelle]

We will always support you. Happy Holidays.

[edwardsmith-rowland]

Numerical analysis is effectively required for physical sciences and engineering. I've worn out two editions of Numerical Recipes. This looks like a good one though.

[takeiteasy]

You oftentimes say you should do at least (if I recall correctly) 6-10 math problems a day. What kind of problems are you referring to? I would love to practice more but the problems we get from our professors for the weekly classes take me about an hour each to figure out. Would love to have more training material though. Could you help me out with suggestions for sources?

[geha]

I want to buy acces to one of your courses in calculus. Do you offer exercises with them? Especially hard ones?

[byronwilliams]

I took Numerical Analysis at Uni and it was terrible, the prof didn't care, the students didn't know what was going on, only one student could code.

[lorensims]

If I had passed Algebra 2 in high school, the next class was called Trig and Analyt. I figured it was all Pre Calc.

[elmer]

Millions of people in many disciplines make a living using applied numerical analysis (methods) on many types of large and small computing systems. This is a very important subject area that branches out into literally hundreds of specialty areas and should not be underrated. Before the advent of digital computers a small number of very intelligent women, many of them black, solved complex problems by hand that men could only dream of solving, yet men nearly always got credit for the women's accomplishments.