Calculus

Calculus is the mathematical study of change, in the same way that geometry is the study of shape and algebra is the study of operations and their application to solving equations. It has two major branches, differential calculus (concerning rates of change and slopes of curves), and integral calculus (concerning accumulation of quantities and the areas under and between curves); these two branches are related to each other by the fundamental theorem of calculus. Both branches make use of the fundamental notions of convergence of infinite sequences and infinite series to a well-defined limit. Generally, modern calculus is considered to have been developed in the 17th century by Isaac Newton and Gottfried Leibniz. Today, calculus has widespread uses in science, engineering and economics and can solve many problems that algebra alone cannot.

Calculus is a part of modern mathematics education. A course in calculus is a gateway to other, more advanced courses in mathematics devoted to the study of functions and limits, broadly called mathematical analysis. Calculus has historically been called "the calculus of infinitesimals", or "infinitesimal calculus". The word "calculus" comes from Latin (calculus) and refers to a small stone used for counting. More generally, calculus (plural calculi) refers to any method or system of calculation guided by the symbolic manipulation of expressions. Some examples of other well-known calculi are propositional calculus, calculus of variations, lambda calculus, and process calculus.

Calculus (disambiguation)

Calculus (from Latin calculus meaning ‘pebble’, plural calculī) in its most general sense is any method or system of calculation.

Calculus may refer to:

Mathematics

  • Calculus, short for "differential calculus" and "integral calculus", which investigate motion and rates of change
  • Logical calculus, a formal system that defines a language and rules to derive an expression from premises.
  • Calculus of sums and differences (difference operator), also called the finite-difference calculus, a discrete analogue of "calculus"
  • In symbolic logic:
  • the propositional calculus, specifies the rules of inference governing the logic of propositions
  • the predicate calculus, specifies the rules of inference governing the logic of predicates
  • Calculus (medicine)

    A calculus (plural calculi), often called a stone, is a concretion of material, usually mineral salts, that forms in an organ or duct of the body. Formation of calculi is known as lithiasis (/ˌlɪˈθəss/). Stones can cause a number of medical conditions.

    Some common principles (below) apply to stones at any location, but for specifics see the particular stone type in question.

    Calculi are not to be confused with gastroliths.

    Types of lithiasis

  • Calculi in the urinary system are called urinary calculi and include kidney stones (also called renal calculi or nephroliths) and bladder stones (also called vesical calculi or cystoliths). They can have any of several compositions, including mixed. Principal compositions include oxalate and urate.
  • Calculi of the gallbladder and bile ducts are called gallstones and are primarily developed from bile salts and cholesterol derivatives.
  • Calculi in the nasal passages (rhinoliths) are rare.
  • Calculi in the gastrointestinal tract (enteroliths) can be enormous. Individual enteroliths weighing many pounds have been reported in horses.
  • Podcasts:

    PLAYLIST TIME:

    Burden Of Grief

    by: Galloglass

    The war is over
    The last battles are gone
    Swords laying broken
    My bloodwork is all done
    I sit down for calming
    My breath is lessening
    I�m starting to tremble
    My sight is clearing
    My head is weary
    A dreadful awakening
    What has driven me
    Into insanity
    Awaking from this dreadful tragedy
    I return to myself
    Beginning to dwell in this elegy
    Put my anger on the shelf
    Awaking from this dreadful tragedy
    I return to myself
    Beginning to dwell in this elegy
    Put my anger back on the shelf
    I look around
    As I raise from my rest
    Discover what I�ve done
    No life I have left
    My heart is in pieces
    My soul is laying bare
    Awaking from this dreadful tragedy
    I return to myself
    Beginning to dwell in this elegy
    Put my anger on the shelf
    Awaking from this dreadful tragedy
    I return to myself
    Beginning to dwell in this elegy




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