What is Algebra based physics: Definition and 20 Discussions

A computer algebra system (CAS) or symbolic algebra system (SAS) is any mathematical software with the ability to manipulate mathematical expressions in a way similar to the traditional manual computations of mathematicians and scientists. The development of the computer algebra systems in the second half of the 20th century is part of the discipline of "computer algebra" or "symbolic computation", which has spurred work in algorithms over mathematical objects such as polynomials.
Computer algebra systems may be divided into two classes: specialized and general-purpose. The specialized ones are devoted to a specific part of mathematics, such as number theory, group theory, or teaching of elementary mathematics.
General-purpose computer algebra systems aim to be useful to a user working in any scientific field that requires manipulation of mathematical expressions. To be useful, a general-purpose computer algebra system must include various features such as:

a user interface allowing a user to enter and display mathematical formulas, typically from a keyboard, menu selections, mouse or stylus.
a programming language and an interpreter (the result of a computation commonly has an unpredictable form and an unpredictable size; therefore user intervention is frequently needed),
a simplifier, which is a rewrite system for simplifying mathematics formulas,
a memory manager, including a garbage collector, needed by the huge size of the intermediate data, which may appear during a computation,
an arbitrary-precision arithmetic, needed by the huge size of the integers that may occur,
a large library of mathematical algorithms and special functions.The library must not only provide for the needs of the users, but also the needs of the simplifier. For example, the computation of polynomial greatest common divisors is systematically used for the simplification of expressions involving fractions.
This large amount of required computer capabilities explains the small number of general-purpose computer algebra systems. The main ones are Axiom, Maxima, Magma, Maple, Mathematica and SageMath.

View More On Wikipedia.org
Recent contents Top users
  1. Zagreus

    Courses Algebra or Calculus based physics to start with?

    Hi all, So I'm interested in going to university to study Theoretical Physics but it's been a couple years since high school and I've forgotten pretty much everything about what I learned in physics class. I've always been interested in mathematics though so I went and learned calculus a while...
  2. question_asker

    I Tracing parabolic motion with only current velocity and position?

    Is it possible to trace the trajectory of an object using only its velocity and position, both of which are given as components. My method of doing so involves using the time until max height is reached, and using that time value to calculate the max height itself (h,k), then plugging in the...
  3. Jregan

    A golf ball being hit on the moon vs Earth

    I am just not sure if I did this properly. My professor hasn't really gone over when to use the range equation but I would assume range would equal the distance traveled therefore can be used for this problem. If not the how would I go about solving this? I did 1/6*9.8=1.63 for g on the moon...
  4. Jregan

    Rocket Engine Failure: Calculating Velocity at 1055m/s | 21.1*50 = 1055

    21.1*50=1055 1055m/s is the velocity when the engine fails. I don’t know what the time should be in the second equation.
  5. L

    Magnitude of an electric field

    Homework Statement An electron is projected with an initial speed v0 = 4.65×106 m/s into the uniform field between the parallel plates in (Figure 1). The direction of the field is vertically downward, and the field is zero except in the space between the two plates. The electron enters the...
  6. astroman707

    Courses Is it okay to not understand the calculus in intro physics?

    I don't understand a good portion of the non-algebraic math behind much of the physics in my first semester college class. I understand everything with algebra, and can solve all problems, but I don't understand the relationships with vector cross/dot products, calculus derivations, DE, etc...
  7. astroman707

    Courses Is there much difference between algebra- and calculus-based physics

    I’m in an honors calc-based physics 1 course at my college and I can’t audibly understand my professor. I tried looking for tutorials online, but I have no idea if what I’m looking at is calc-based physics or alg-based physics, and I don’t want to learn the wrong methods. Is there a difference...
  8. J

    How Do You Calculate the Meeting Point of Two Stones Thrown from a Cliff?

    Homework Statement Two stones are thrown simultaneously, one straight upward from the base of a cliff and the other straight downward from the top of the cliff. The height of the cliff is 6.00m. The stones are thrown with the same speed of 9.0m/s. Find the location (above the base of the cliff)...
  9. L

    I'm having a comprehension issue with a 2-D motion problem.

    1. Problem Statement A 2 kilogram block rests at the edge of a platform that is 10 meters above level ground. The block is launched horizontally from the edge of the platform with an initial speed of 3 meters per second. Air resistance is negligible. The time it will take for the block to reach...
  10. C

    Projectile Motion: Determining Velocity and Distance at Different Angles

    Homework Statement find the initial velocity if a ball is shot at 0 degrees, goes 99.3 cm forward at a height of 25.5cm then use this velocity to determine the x distance if shot at 60 degrees at a height of 114cm part 1 Vinitial: ? delta x: 99.3cm delta y: 25.5cm degree: 0 Part 2 Vinitial...
  11. L

    Algebra Books that mix modern physics with algebra and geometry

    Hi I'm an advanced undergraduate physics student and I'm currently searching books for my career project. The topic I selected is titled: Algebra and geometry in modern physics. So I'm currently looking for books that cover modern aspects of physics in a more mathematical approx. In specific I'm...
  12. Mastermind01

    Classical What Are the Best Algebra-Based Physics Books for Exam Prep?

    Hello, I'm looking for an algebra based physics book with challenging problems. The reasons is because I'm preparing for an exam (in two weeks time) which will have algebra based physics. Here are the topics: 1. Kinematics 2. Dynamics (Newton's laws, Momentum , Work & Energy) 3. Gravitation 4...
  13. M

    Equations of Kinematics in 2-D/Projectile Motion

    Homework Statement A tennis ball is struck such that it leaves the racket horizontally with a speed of 28.0 m/s. The ball hits the court at a horizontal distance of 19.6 m from the racket. What is the height of the tennis ball when it leaves the racket? Homework Equations v = vo + at x =...
  14. G

    Calculus based physics Vs. algebra based physics

    I haven't gotten any knowledge of physics. I didn't have the opportunity to take it during my high school due to the biology state exam. Will it hurt to take it this semester? Will the calculus based physics be taught the same as general physics (non-calculus based)? If this isn't a good idea...
  15. J

    Is Algebra-Based Physics Necessary for Understanding Calculus-Based Physics?

    Do you have to take algebra/trig based physics first in order to understand calculus based physics better? Or is algebra based physics even required for calculus based physics?
  16. D

    Algebra Based Physics vs. Calculus Based Physics

    When I entered college as a freshman, I was in a biotechnology major, which was one of the less rigorous science majors offered at the university. It required only algebra based physics. I took classical mechanics spring semester freshman year, and I took electricity, magnetism, light, and...
  17. Julio Cesar

    Algebra based physics exercise practice

    1. "The problem statement" is more of a theory question based on physics. This would be my first post to this forum and I'm attempting to follow the rules as best I can. I guess the equation in question is T= 2∏√(m/k) 2. The above mentioned equation. According to my textbook author James...
  18. M

    Calc based or algebra based physics?

    So I'm a human bio major, and just taking physics to satisfy requirements. Which one would be a wiser choice? I've taken calc 1 and 2 and did reasonably well in both. What's the difference between them and which one would be easier?
  19. S

    Electric Forcs and Work (Algebra based physics)

    Charges q1=+7.15 x 10-05 C and q2=-7.80 x 10-04 C are placed at rest 71.5 cm apart. How much work must be done by an outside agent to move these charges slowly and steadily until they are 31.0 cm apart? Ok so I tried a few things on my own, and got stuck. So I referred to a previous post...
  20. T

    Calculus based physics differences algebra based physics

    in my high school physics class we are doing algebra baced physics but i have heard of calculus based physics and i wanted to know the differences between them and the different Applications that they have.
Back
Top