Mathematics (from Ancient Greek μάθημα; máthēma: 'knowledge, study, learning') is an area of knowledge that includes such topics as numbers (arithmetic and number theory), formulas and related structures (algebra), shapes and the spaces in which they are contained (geometry), and quantities and their changes (calculus and analysis). Most mathematical activity involves the use of pure reason to discover or prove the properties of abstract objects, which consist of either abstractions from nature or—in modern mathematics—entities that are stipulated with certain properties, called axioms. A mathematical proof consists of a succession of applications of some deductive rules to already known results, including previously proved theorems, axioms and (in case of abstraction from nature) some basic properties that are considered as true starting points of the theory under consideration.
Mathematics is used in science for modeling phenomena, which then allows predictions to be made from experimental laws. The independence of mathematical truth from any experimentation implies that the accuracy of such predictions depends only on the adequacy of the model. Inaccurate predictions, rather than being caused by incorrect mathematics, imply the need to change the mathematical model used. For example, the perihelion precession of Mercury could only be explained after the emergence of Einstein's general relativity, which replaced Newton's law of gravitation as a better mathematical model.
Mathematics is essential in the sciences, engineering, medicine, finance, computer science and the social sciences. Some areas of mathematics, such as statistics and game theory, are developed in close correlation with their applications and are often grouped under applied mathematics. Other mathematical areas are developed independently from any application (and are therefore called pure mathematics), but practical applications are often discovered later. A fitting example is the problem of integer factorization, which goes back to Euclid, but which had no practical application before its use in the RSA cryptosystem (for the security of computer networks).
Historically, the concept of a proof and its associated mathematical rigour first appeared in Greek mathematics, most notably in Euclid's Elements. Since its beginning, mathematics were essentially divided into geometry, and arithmetic (the manipulation of natural numbers and fractions), until the 16th and 17th centuries, when algebra and infinitesimal calculus were introduced as new areas of the subject. Since then, the interaction between mathematical innovations and scientific discoveries has led to a rapid increase in the development of mathematics. At the end of the 19th century, the foundational crisis of mathematics led to the systematization of the axiomatic method. This gave rise to a dramatic increase in the number of mathematics areas and their fields of applications. An example of this is the Mathematics Subject Classification, which lists more than 60 first-level areas of mathematics.

You do not have permission to view the full content of this post. Log in or register now.
  1. L

    Why was the math book sad?

    Hidden content
  2. L

    Are monsters good at math?

    Hidden content
  3. D

    Reviewer Math Solver App

    Share ko lang yun apps na to mga lods para sa mga studyante na ka family natin dito pang padali mag solve sa math problems niyo ppicturan mo lng yun solving problems at lalabas na yun sagot. Sana maka tulong po.. IMPORTANT: Mag aral pa din po kayo nang mabuti para makamit mo ang pangarap mo...
  4. R

    Java Pa convert po math formula to java

  5. L

    What do you call guys who love math?

    Hidden content
  6. B

    Help Math

    calculator website
  7. J

    Pa help po sa math about set

    Pahelp po. Thank you po..
  8. P

    Yung May Exam Kayo sa Math

  9. D

    Help (Math ) Can you please help me answer this?

  10. C

    Help Guys patulong nito sa math ko nalilito ako baka mirong makasagot nito

  11. Y


  12. R

    Pa tulong po GenMath

    May sagot na po ako mga lods gusto ko lang mq sure kung tama kasi isa lang yung example na binigay samin. Thanks in advance po
  13. P

    Math Problem Be Like

  14. A

    Help Help naman malapit na midterm

    first yr college po ako at math po pinaka problema ko eh Mathematics in the modern world po f to f na po kasi ang midterm namin kaya babye google muna. ano po ba ang mga pwede kong i review o gawin para mas mapadali yung pag rereview ng mga lesson namin . ito po yung two lesson namin 1.)...
  15. K

    Resultant vector, x and y components

    Mga maam/sir may idea po ba kayo kung paano gawin ito sa isang vector map? From house to school po kasi tapos gagawa nito... Salamat po
  16. B

    Help Mga malupet sa math or sa nakakaintindi Tama ba sagot ko

    UC = 3342 TS = 90,000 x = ? [ x = (UC) divided by (365 x 10 ) multiply by (TS)] x = (3342) / (365*10) * (90,000) = (3342) / (3650) * (90,000) = 0.916 * (90,000) x = 82,440 tama ba computation ko sir? x = utang ko patulong mag compute TIA
  17. M

    Civil Engineering review materials

    eto po lahat pdf ko nung nag take ako last May 2022 Exam CONTENT Engineering Math Vol 1 by Gille Engineering Math Vol 2 by Gille Engineering Mathematics Formula Volume 2 Besavilla 1001 Solved Problems in Engineering Mathematics foundation engineering FLUID MECHANICS & HYDRAULICS_Besavilla...
  18. N

    Help May magaling po ba sa math dito baka pwede magpatulong?

    Pwede po ba magpatulong sa math?
  19. M

    Help Looking for Online Master of Arts Major in Mathematics

    Hi! Good afternoon. Sino po may alam na graduate school/s offering Master of Arts Major in Mathematics na online ang pasok sa Region IV, V, or NCR po? Thank you sa sasagot, need lang po.
  20. T

    Help Math Problem po

    Pahingi nga po ng Coursehero account or pasagut lang po ito. 1. 37xy(834B)-X73(N54C)+948xy = ? 2. NG73(x)+(0383N)(G83000)-NG(74G)=? Salamat po
  21. K

    Can someone explain this to me di ko ma gets math

    di ko talaga magets paki explain po please permutation po topic namin
  22. P

    Help Math problems that equal to 25

    Hello po sa mga math genius, I need your help, Kailangan ko ng math problems or equation na ang sagot ay 25, yung kasya lang sa cake. Thank you.
  23. K

    Help po Grade 11 Prob & Stat

    Patulong po dito sa probability mass function... Salamat po
  24. J

    Help Math Problems Probabilities

    There is a multiple choice with 5 choices and 2 of them are correct. When 2 answers are chosen at random, what is the probability that you get both correct answers? a) 1/25 b) 1/20 c) 1/10 d) 4/25 a) 15 b) 27 c) 30 d) 33 Suppose you are playing a game with a single dice wherein the number of...
  25. K

    Mga Maam at Sir patulong po Grade 11 Math

    Patulong naman po sana with solution. Maraming salamat po
  26. U

    Math please help

    A certain bus company driver charges P100 per kilometer for the first 50 km, P200 per kilometer for the next 20 km, and P300 per kilometer for the last 10 km. What is the average cost per km that the driver charges for the entire trip? helppp
  27. M


    pahelp naman po pls 🥺 thank you po !!
  28. D

    Help BS in Mathematics

    Baka may member dito na graduate from bsmath course or currently 4th year. Tanong ko lang kung ano magandang i-topic para sa thesis. Baka pwede nyo i-share idea nyo. Applied Math o pure math okay lang :)
  29. L


  30. K

    G-11 Math patulong po

    Patulong po sana number 5 and 6 with solution. Maraming salamat po
  31. K

    Math problem. Help po

    Mga maam/sir patulong po dito sa math. Salamat
  32. K

    Help po sa Math

    Pwede pong patulong sa number 4 and 5. Salamat
  33. W

    Help DELETED

  34. K

    Help Mathematics In the Modern World (REX) pdf pls!

    HELLO! PLEASE KUNG SINO MAN PO MERON NITONG BOOK NA TO IN PDF PLEASE SHARE 😭 wala po akong pambili 400+ po siya sa shopee.
  35. P

    Help Sino po math major dyan pasok po may tatanong lang

    Sa mga math majors po ano magandang thesis? Yung mdali lang sana hehehehehehehe
  36. X

    Help Patulong po sa math. Salamat!

    patulong po salamat po!
  37. P

    Help Mathematics in high school

    Should math be required in high school or should calculators be allowed in high school algebra?why? i need some help:>
  38. N

    Help Pa-help po sagutan sa Math na may multiple choice, nagagahol rin ako sa oras ngayon..

    Linear Regression and Correlation 1.) Regression analysis was applied to return rates of sparrowhawk colonies. Regression analysis was used to study the relationship between return rate (x: % of birds that return to the colony in a given year) and immigration rate (y: % of new adults that join...
  39. S

    Poll Paano ba maging matalino sa math

    Paano ba maging matalino sa math guys? Hirap na hirap ako sa math na yan yung tipong iba yung sagot ko lagi sa tamang sagot kahit anong try ko wala talaga. Kayo ba nahihirapan din ba kayo sa math?
  40. J

    Help Help naman po sa assignment hehe

    Ang **** ko talaga sa math haahaha pa help naman po dito. Nasagutan ko na to pero di ko feel yung rightness ng sagot hahahahah
  41. I

    Help Math Question baka alam nyo po to

    Yung sa letter f meron nakong answer pero di pa ako sure. Yung sa letter g naman parang number 5 yung sagot kung pag babasehan yung sides Nagdadalawang isip pa ako kung tama yung sagot ko.😂 Kung alam nyo po yung sagot paki comment nalang po. Salamat❤️
  42. L

    Help Math calculus | Ancient Wisdom | Pineal Gland | Awakening

  43. L

    Help Math equations help me🌞 | Ancient Knowledge | Logic | Awakening | Pineal Gland | Algebra | Calculus

    Pa solve naman po lodi, nahihirapan ako maraming salamat sa makakasagot
  44. K

    Help Math HELP!

    Hi guys! Di ko magets mgananseasearch ko sa internet. Why do we need to add "C" in indefinite integral? Like why is is it needed in solving indefinite integral calculus? Please send help!! Di ko talaga ma gets yung mga english.
  45. J

    Kaway-kaway mga Science Related Courses jan

    comment nyo mga lods kung bakit. 😁
  46. F

    Tutorial Differential Equations

    Pa help dito mga master, Linear Differential Equation of Order One. Di ko na makuha yung answer. Thanks in advance sa sasagot
  47. F

    Tutorial Help, Differential Equation

    Pa help dito mga master, na stuck na ako sa #5. Thanks in Advance sa sasagot.
  48. F

    Tutorial Circuits 1

    Pa help dito mga master. Thanks in advance.
  49. I

    Polynomial Factoring HELP

    Pa help po tsaka pa turo na rin kasi dito po talaga ako nahihirapan lalo na pag yung exponent nya 4 pataas help
  50. K

    Help Mga Sir Na Legend sa math. Paturo saglit.. Pasok Thank You

    Paano po nag come up sa -3/2 ang sagot?.. Di Ko Magets Eh. Thank You