Mathematics
English: Mathematics

Mathematics is the study of numbers, shapes and patterns. The word comes from the Greek word "μάθημα" (máthema), meaning "science, knowledge, or learning", and is sometimes shortened to maths (in England, Australia, Ireland, and New Zealand) or math (in the United States and Canada).[1] The short words are often used for arithmetic, geometry or simple algebra by students and their schools.

Mathematics includes the study of:

  • Numbers: how things can be counted.
  • Structure: how things are organized. This subfield is usually called algebra.
  • Place: where things are and their arrangement. This subfield is usually called geometry.
  • Change: how things become different. This subfield is usually called analysis.

Mathematics is useful for solving problems that occur in the real world, so many people besides mathematicians study and use mathematics. Today, some mathematics is needed in many jobs. People working in business, science, engineering, and construction need some knowledge of mathematics.[2][3]

Problem-solving in mathematics

Mathematics solves problems by using logic. One of the main tools of logic used by mathematicians is deduction. Deduction is a special way of thinking to discover and prove new truths using old truths. To a mathematician, the reason something is true (called a proof) is just as important as the fact that it is true, and this reason is often found using deduction. Using deduction is what makes mathematics thinking different from other kinds of scientific thinking, which might rely on experiments or on interviews.[4]

Logic and reasoning are used by mathematicians to create general rules, which are an important part of mathematics. These rules leave out information that is not important so that a single rule can cover many situations. By finding general rules, mathematics solves many problems at the same time as these rules can be used on other problems.[5] These rules can be called theorems (if they have been proved) or conjectures (if it is not known if they are true yet).[6] Most mathematicians use non-logical and creative reasoning in order to find a logical proof.[7]

Sometimes, mathematics finds and studies rules or ideas that we don't understand yet. Often in mathematics, ideas and rules are chosen because they are considered simple or neat. On the other hand, sometimes these ideas and rules are found in the real world after they are studied in mathematics; this has happened many times in the past. In general, studying the rules and ideas of mathematics can help us understand the world better. Some examples of math problems are addition, subtraction, multiplication, division, calculus, fractions and decimals. Algebra problems are solved by evaluating certain variables. A calculator answers every math problem in the four basic arithmetic operations.

Other Languages
Afrikaans: Wiskunde
Alemannisch: Mathematik
Ænglisc: Rīmcræft
العربية: رياضيات
aragonés: Matematicas
armãneashti: Mathematică
অসমীয়া: গণিত
asturianu: Matemátiques
Avañe'ẽ: Papapykuaa
Aymar aru: Jakhu
azərbaycanca: Riyaziyyat
تۆرکجه: ریاضیات
বাংলা: গণিত
Banjar: Matamatika
Bân-lâm-gú: Sò͘-ha̍k
Basa Banyumasan: Matematika
башҡортса: Математика
беларуская: Матэматыка
беларуская (тарашкевіца)‎: Матэматыка
भोजपुरी: गणित
Bislama: Matematikis
български: Математика
Boarisch: Mathematik
བོད་ཡིག: རྩིས་རིག
bosanski: Matematika
brezhoneg: Matematik
català: Matemàtiques
Чӑвашла: Математика
Cebuano: Matematika
čeština: Matematika
Chamoru: Matematika
Chavacano de Zamboanga: Matematica
chiShona: Masvomhu
corsu: Matematica
Cymraeg: Mathemateg
dansk: Matematik
Deutsch: Mathematik
ދިވެހިބަސް: ރިޔާޟިއްޔާތު
dolnoserbski: Matematika
Ελληνικά: Μαθηματικά
emiliàn e rumagnòl: Matemâtica
English: Mathematics
эрзянь: Математика
español: Matemáticas
Esperanto: Matematiko
estremeñu: Matemáticas
euskara: Matematika
فارسی: ریاضیات
Fiji Hindi: Mathematics
føroyskt: Støddfrøði
français: Mathématiques
Frysk: Wiskunde
furlan: Matematiche
Gaeilge: Matamaitic
Gaelg: Maddaght
Gàidhlig: Matamataig
galego: Matemáticas
ГӀалгӀай: Математика
贛語: 數學
ગુજરાતી: ગણિત
客家語/Hak-kâ-ngî: Su-ho̍k
хальмг: Математика
한국어: 수학
Hausa: Lissafi
Hawaiʻi: Makemakika
հայերեն: Մաթեմատիկա
हिन्दी: गणित
hrvatski: Matematika
Ilokano: Matematika
বিষ্ণুপ্রিয়া মণিপুরী: গণিত
Bahasa Indonesia: Matematika
interlingua: Mathematica
Interlingue: Matematica
isiXhosa: I-Mathematics
isiZulu: Imathemathiki
íslenska: Stærðfræði
italiano: Matematica
עברית: מתמטיקה
kalaallisut: Matematikki
ಕನ್ನಡ: ಗಣಿತ
къарачай-малкъар: Математика
ქართული: მათემატიკა
kaszëbsczi: Matematika
қазақша: Математика
Kiswahili: Hisabati
Kreyòl ayisyen: Matematik
kurdî: Matematîk
Кыргызча: Математика
Ladino: Matemátika
Latina: Mathematica
latviešu: Matemātika
Lëtzebuergesch: Mathematik
lietuvių: Matematika
Ligure: Matematica
Limburgs: Mathematiek
Lingua Franca Nova: Matematica
Livvinkarjala: Matematiekku
la .lojban.: cmaci
Luganda: Ekibalangulo
lumbaart: Matemàtega
magyar: Matematika
मैथिली: गणित
македонски: Математика
Malagasy: Fanisana
മലയാളം: ഗണിതം
Malti: Matematika
मराठी: गणित
მარგალური: მათემატიკა
مصرى: رياضيات
مازِرونی: ریاضی
Bahasa Melayu: Matematik
Mìng-dĕ̤ng-ngṳ̄: Só-hŏk
Mirandés: Matemática
монгол: Математик
မြန်မာဘာသာ: သင်္ချာ
Nederlands: Wiskunde
Nedersaksies: Wiskunde
नेपाली: गणित
नेपाल भाषा: ल्याःज्या
日本語: 数学
Nordfriisk: Matematiik
Norfuk / Pitkern: Maethamatiks
norsk: Matematikk
norsk nynorsk: Matematikk
Nouormand: Caltchul
Novial: Matematike
occitan: Matematicas
олык марий: Математике
ଓଡ଼ିଆ: ଗଣିତ
Oromoo: Herrega
oʻzbekcha/ўзбекча: Matematika
ਪੰਜਾਬੀ: ਗਣਿਤ
पालि: गणितं
Pangasinan: Matematiks
پنجابی: میتھمیٹکس
Patois: Matimatix
ភាសាខ្មែរ: គណិតវិទ្យា
Picard: Matématikes
Piemontèis: Matemàtica
Tok Pisin: Ol matematik
Plattdüütsch: Mathematik
polski: Matematyka
português: Matemática
Qaraqalpaqsha: Matematika
qırımtatarca: Riyaziyat
română: Matematică
Runa Simi: Yupay yachay
русиньскый: Математіка
русский: Математика
саха тыла: Математика
ᱥᱟᱱᱛᱟᱲᱤ: ᱮᱞᱠᱷᱟ
Gagana Samoa: Matematika
संस्कृतम्: गणितम्
Seeltersk: Mathematik
Setswana: Mathematics
shqip: Matematika
sicilianu: Matimàtica
සිංහල: ගණිතය
سنڌي: رياضي
SiSwati: Tekubala
slovenčina: Matematika
slovenščina: Matematika
ślůnski: Matymatyka
Soomaaliga: Xisaab
کوردی: ماتماتیک
Sranantongo: Sabi fu Teri
српски / srpski: Математика
srpskohrvatski / српскохрватски: Matematika
Sunda: Matematika
svenska: Matematik
Tagalog: Matematika
தமிழ்: கணிதம்
Taqbaylit: Tusnakt
татарча/tatarça: Математика
తెలుగు: గణితము
тоҷикӣ: Риёзиёт
ತುಳು: ಗಣಿತ
Türkçe: Matematik
Türkmençe: Matematika
Thuɔŋjäŋ: Akuënkäŋ
удмурт: Математика
ᨅᨔ ᨕᨘᨁᨗ: ᨆᨈᨛᨆᨈᨗᨀ
українська: Математика
اردو: ریاضی
Vahcuengh: Soqyoz
vèneto: Matemàtega
vepsän kel’: Matematik
Tiếng Việt: Toán học
Volapük: Matemat
文言: 數學
West-Vlams: Wiskunde
Winaray: Matematika
Wolof: Xayma
吴语: 数学
ייִדיש: מאטעמאטיק
Yorùbá: Mathimátíkì
粵語: 數學
Zazaki: Matematik
Zeêuws: Wiskunde
žemaitėška: Matematėka
中文: 数学