Sigma Calculator
Evaluate finite sums written in sigma notation, including sums of powers.
The Summe.org collection
Mathematics Calculators and Tools
Summe.org provides focused mathematics calculators for students, teachers and anyone who wants to solve, explore or check a mathematical problem online.
Browse tools for summation and sigma notation, series, derivatives, limits, integration, factorials, number theory, hyperoperations, combinatorics, algebra, systems of equations, multivariable calculus, differential equations and geometry.
Geometry resources include area calculators, triangle calculations, the Pythagorean theorem, distance between points, area-unit conversion, surface area and volume. These geometry calculators are provided by Superficie.org and open on that website.
Many calculators focus on a specific mathematical operation rather than combining every problem into a single interface. This makes it easier to find a tool suited to the calculation you need. German-language tools are available in the dedicated German section, and Italian-language tools are listed in the Italian section.
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Popular Mathematics Calculators
Quick access to useful calculators across calculus, algebra, number theory and geometry.
Sum of a Series
Explore arithmetic and geometric series and their sums.
Derivative Calculator
Differentiate supported algebraic, exponential and trigonometric functions.
Limit Calculator
Evaluate supported limits and investigate function behavior.
Indefinite Integral
Find antiderivatives of supported mathematical expressions.
System of Equations
Solve supported systems of equations and find unknown values.
GCD Calculator
Find the greatest common divisor of integers.
Percentage Calculator
Calculate percentages, changes, increases and decreases.
Fraction Calculator
Add, subtract, multiply and simplify fractions.
Quadratic Equation Calculator
Solve quadratic equations and explore their roots.
Prime Factorization
Express a positive integer as a product of prime factors.
Differential Equation Solver
Solve supported ordinary differential equations.
Gradient Calculator
Calculate the gradient vector of a scalar function.
Hyperoperation Calculator
Explore arithmetic operations and higher hyperoperations.
Tetration Calculator
Explore repeated exponentiation and power towers.
Pentation Calculator
Investigate pentation as a higher-order operation.
Hexation Calculator
Explore hexation and higher hyperoperations.
Knuth Up-Arrow Calculator
Explore large numbers using Knuth up-arrow notation.
Area Calculator
Calculate the area of common geometric shapes.
Triangle Area Calculator
Calculate the area of a triangle from supported dimensions.
Pythagorean Theorem Calculator
Calculate unknown sides of a right triangle.
Browse the collection
All Mathematics Calculators
Choose a topic or type a keyword in the search box to filter the calculator directory. External tools open on their respective websites.
No calculators match your search. Try a different keyword or topic.
Summation & Series
Explore sigma notation, series, factorial sums, number sequences and mathematical summation identities.
Sigma Calculator
Evaluate finite sums using sigma notation.
Sum of a Series Calculator
Calculate arithmetic and geometric series sums.
Sum of Powers Calculator
Calculate sums of powers of consecutive integers.
Triangular Number Calculator
Calculate triangular numbers and explore their patterns.
Sum of Primes Calculator
Calculate the sum of primes in an integer range.
Fibonacci Sum Calculator
Calculate sums of Fibonacci sequence terms.
Conditional Sum Calculator
Sum values that satisfy specified conditions.
Factorial Sum Calculator
Evaluate sums involving factorial expressions.
Sum of Divisors Calculator
Find the sum of positive divisors of an integer.
Cumulative Sum Calculator
Calculate running totals for sequences and data.
Consecutive Sum Finder
Explore sums of consecutive integers.
Sum of Odd Numbers
Calculate sums of consecutive odd integers.
Lucas Number Sum
Explore sums of terms in the Lucas sequence.
Sum of Cubes Calculator
Calculate sums of consecutive cubes.
Sum of Squares Calculator
Calculate sums of squared integers.
Binomial Sum Calculator
Evaluate sums involving binomial coefficients.
Pascal Row Sum
Explore the sums and patterns of Pascal triangle rows.
Sum of Even Numbers
Calculate sums of consecutive even integers.
Summation Puzzle
Practice mathematical reasoning with summation problems.
Summation Proof Explorer
Explore proof techniques for mathematical summation identities.
Derivative Calculators
Calculate derivatives, partial derivatives and higher-order derivatives for supported functions.
Derivative Calculator
Differentiate supported algebraic, exponential, logarithmic and trigonometric functions.
Higher-Order Derivative Calculator
Calculate second, third and higher-order derivatives.
Partial Derivative Calculator
Differentiate multivariable functions with respect to a selected variable.
Derivative at a Point
Evaluate a derivative at a specified point.
Implicit Differentiation Calculator
Explore derivatives of implicitly defined equations.
Logarithmic and Exponential Derivatives
Work with derivatives of logarithmic and exponential functions.
Trigonometric Derivative Calculator
Differentiate supported trigonometric functions.
Derivative Graph Plotter
Explore functions and their derivatives graphically.
Integration & Limit Calculators
Explore limits, antiderivatives, definite integrals and numerical integration methods.
Indefinite Integral Calculator
Find antiderivatives of supported mathematical expressions.
Definite Integral Calculator
Evaluate definite integrals over specified intervals.
Integration by Substitution
Explore u-substitution for supported integrals.
Integration by Parts Calculator
Apply integration by parts to suitable expressions.
Trigonometric Integral Calculator
Evaluate supported integrals involving trigonometric functions.
Partial Fraction Integration
Explore integration of suitable rational expressions.
Numerical Integration Calculator
Approximate definite integrals using numerical methods.
Improper Integral Calculator
Investigate supported improper integrals.
Integral Graph Plotter
Visualize functions and areas associated with integration.
Limit Calculator
Evaluate supported limits and explore one-sided limits.
Number Theory & Special Numbers
Work with divisors, prime factors, greatest common divisors, digital roots and hyperoperations.
Digital Root Calculator
Find the digital root of an integer.
Modulo 9 Checker
Explore divisibility and digital-root relationships modulo nine.
Addition Chain Calculator
Explore addition chains for integer exponentiation.
Integer Partition Calculator
Explore ways to express integers as sums of positive integers.
Hyperoperation Calculator
Explore arithmetic operations and higher hyperoperations.
Tetration Calculator
Explore repeated exponentiation and power towers.
Pentation Calculator
Investigate a higher hyperoperation beyond tetration.
Knuth Up-Arrow Calculator
Explore large-number notation using Knuth up-arrows.
Hexation Calculator
Explore hexation and higher-order hyperoperations.
GCD Calculator
Find the greatest common divisor of integers.
LCM Calculator
Find the least common multiple of integers.
Prime Factorization Calculator
Express a positive integer as a product of prime factors.
Binary GCD Calculator
Calculate the greatest common divisor using Stein’s binary GCD algorithm.
Modular Exponentiation Calculator
Calculate modular powers efficiently.
Special Number Explorers
Discover mathematical number sequences and special-number relationships.
Combinatorics & Triangles
Explore Pascal triangles, permutations, combinations and recurrence relations.
Pascal Triangle Explorer
Explore binomial coefficients and Pascal triangle patterns.
Magic Square Calculator
Explore magic squares and their row, column and diagonal sums.
Permutation Calculator
Count arrangements when order matters.
Combination Calculator
Count selections when order does not matter.
Recurrence Relation Calculator
Generate sequence terms from recurrence relations.
Basic Math Calculators
Solve everyday percentage and fraction calculations.
Algebra Calculators
Solve equations, factor polynomials and investigate numerical root-finding.
Quadratic Equation Calculator
Solve quadratic equations and explore their roots.
Polynomial Factoring Calculator
Explore factorization of supported polynomial expressions.
System of Equations Solver
Solve supported systems of equations.
Newton–Raphson Calculator
Approximate equation roots using the Newton–Raphson method.
Geometry & Measurement
Calculate areas, distances, triangle measurements, surface areas, volumes and area-unit conversions with dedicated geometry calculators hosted on Superficie.org.
Area Calculator
Calculate the area of common geometric shapes using their relevant dimensions.
Triangle Area Calculator
Calculate triangle area from supported combinations of side lengths, base and height.
Circle Area Calculator
Calculate the area of a circle from its radius or diameter.
Polygon Area Calculator
Calculate the area of polygons using supported geometric measurements.
Pythagorean Theorem Calculator
Calculate an unknown side of a right triangle using the Pythagorean theorem.
Distance Between Two Points
Calculate the straight-line distance between two points from their coordinates.
Area Unit Converter
Convert area measurements between supported square units.
Triangle Calculator
Explore triangle measurements and calculate supported sides, angles and other properties.
Volume Calculator
Calculate the volume of common three-dimensional geometric shapes.
Surface Area Calculator
Calculate the surface area of common three-dimensional shapes.
Square Area Calculator
Calculate the area of a square from its side length.
Rectangle Area Calculator
Calculate the area of a rectangle from its length and width.
Trapezoid Area Calculator
Calculate trapezoid area from the parallel sides and height.
Parallelogram Area Calculator
Calculate the area of a parallelogram using its base and perpendicular height.
Cube Surface Area Calculator
Calculate the total surface area of a cube from its side length.
Cuboid Surface Area Calculator
Calculate the total surface area of a cuboid from its dimensions.
Sphere Surface Area Calculator
Calculate the surface area of a sphere from its radius or diameter.
Cylinder Surface Area Calculator
Calculate the surface area of a cylinder using its radius and height.
Cone Surface Area Calculator
Calculate the surface area of a cone using supported dimensions.
Multivariable Calculus
Explore gradients, divergence, curl, Jacobians, Hessians and differential equations.
Directional Derivative Calculator
Calculate directional derivatives for supported multivariable functions.
Gradient Calculator
Calculate gradient vectors in multivariable calculus.
Divergence Calculator
Calculate the divergence of supported vector fields.
Curl Calculator
Explore the curl of vector fields.
Jacobian Calculator
Calculate Jacobian matrices for multivariable functions.
Hessian Matrix Calculator
Explore second-order partial derivatives and Hessian matrices.
Critical Point Calculator
Find and investigate supported critical points.
Differential Equation Solver
Solve supported ordinary differential equations.
Matrix Analysis & Numerical Methods
Explore matrix norms, numerical conditioning and other advanced linear algebra topics.
Markov Chains & Graph Algorithms
Investigate transition matrices, state probabilities and matrix-based ranking.
Deutsche Rechner
Mathematik-Rechner auf Deutsch für Summen, Reihen, Ableitungen, Integrale und Zahlentheorie.
Tetrationsrechner
Berechnet Tetration und untersucht Potenztürme.
Hyperoperationsrechner
Erkundet Hyperoperationen von Addition bis zu höheren Operationen.
Pentationsrechner
Erkundet Pentation als höhere Hyperoperation.
Sigma-Rechner
Berechnet endliche Summen mit Sigma-Notation.
Reihensummenrechner
Berechnet Summen geeigneter arithmetischer und geometrischer Reihen.
Fakultätssummenrechner
Berechnet Summen mit Fakultäten.
Teilersummenrechner
Berechnet die Summe positiver Teiler einer Zahl.
Digitale-Wurzel-Rechner
Berechnet die digitale Wurzel einer ganzen Zahl.
Rechner für partielle Ableitungen
Berechnet partielle Ableitungen von Funktionen mit mehreren Variablen.
Rechner für höhere Ableitungen
Berechnet Ableitungen höherer Ordnung.
Rechner für unbestimmte Integrale
Berechnet Stammfunktionen für unterstützte Funktionen.
Partielle Integration Rechner
Unterstützt die Methode der partiellen Integration.
Rechner für uneigentliche Integrale
Untersucht geeignete uneigentliche Integrale.
Partitionsrechner
Untersucht ganzzahlige Partitionen.
Dreieckszahlen-Rechner
Berechnet Dreieckszahlen.
Summen von Potenzen Rechner
Berechnet Summen von Potenzen natürlicher Zahlen.
Quadratsummenrechner
Berechnet Summen aufeinanderfolgender Quadratzahlen.
Kubikzahlen-Summenrechner
Berechnet Summen aufeinanderfolgender Kubikzahlen.
Summe gerader Zahlen Rechner
Berechnet Summen aufeinanderfolgender gerader Zahlen.
Summe ungerader Zahlen Rechner
Berechnet Summen aufeinanderfolgender ungerader Zahlen.
Fibonacci-Summenrechner
Berechnet Summen von Fibonacci-Zahlen.
Kumulative Summenrechner
Berechnet kumulative Summen für Zahlenfolgen.
Binomial-Summenrechner
Berechnet Summen mit Binomialkoeffizienten.
Primzahlensummenrechner
Berechnet Primzahlsummen in einem Zahlenbereich.
Calcolatrici in italiano
Calcolatrici matematiche in italiano per somme, serie, derivate, integrali e teoria dei numeri.
Calcolatore di tetratione
Calcola la tetratione e analizza le torri di potenze.
Calcolatore di iperoperazioni
Esplora le iperoperazioni, dall’addizione alle operazioni di ordine superiore.
Calcolatore di pentazione
Esplora la pentazione come operazione iperoperatoria di ordine superiore.
Calcolatore con notazione sigma
Calcola somme finite utilizzando la notazione sigma.
Calcolatore di somme di serie
Calcola le somme di serie aritmetiche e geometriche adatte.
Calcolatore di somme di fattoriali
Calcola somme che contengono fattoriali.
Calcolatore della somma dei divisori
Calcola la somma dei divisori positivi di un numero.
Calcolatore della radice digitale
Calcola la radice digitale di un numero intero.
Calcolatore delle derivate parziali
Calcola le derivate parziali di funzioni a più variabili.
Calcolatore delle derivate di ordine superiore
Calcola le derivate di ordine superiore di una funzione.
Calcolatore di integrali indefiniti
Calcola le primitive delle funzioni supportate.
Calcolatore di integrazione per parti
Applica il metodo di integrazione per parti per risolvere gli integrali.
Calcolatore di integrali impropri
Analizza gli integrali impropri supportati e ne studia la convergenza.
Calcolatore delle partizioni intere
Esplora le partizioni di numeri interi.
Calcolatore dei numeri triangolari
Calcola i numeri triangolari.
Calcolatore delle somme di potenze
Calcola le somme delle potenze dei numeri naturali.
Calcolatore delle somme di quadrati
Calcola le somme di quadrati di numeri consecutivi.
Calcolatore delle somme di cubi
Calcola le somme dei cubi di numeri consecutivi.
Calcolatore della somma dei numeri pari
Calcola le somme di numeri pari consecutivi.
Calcolatore della somma dei numeri dispari
Calcola le somme di numeri dispari consecutivi.
Calcolatore delle somme di Fibonacci
Calcola le somme dei numeri della successione di Fibonacci.
Calcolatore delle somme cumulative
Calcola le somme cumulative di successioni numeriche.
Calcolatore delle somme binomiali
Calcola somme che utilizzano i coefficienti binomiali.
Calcolatore delle somme di numeri primi
Calcola la somma dei numeri primi all’interno di un intervallo numerico.
Mathematical topics
Find the Right Calculator for Your Problem
Start with the type of calculation you need, then open a dedicated tool from the directory above.
Σ Summation, Series and Factorials
Summation calculators help evaluate finite sums, sigma notation, powers, factorial expressions and sequence totals. Series tools focus on the addition of terms that follow a mathematical rule.
Factorials are important in permutations, combinations and many counting problems. Use the factorial sum and combinatorics tools when your expression involves these operations.
∫ Integration and Derivatives
Derivatives describe rates of change and slopes, while integrals are used to study accumulation and signed area. Limits help describe function behavior near a point or boundary.
Summe.org provides dedicated tools for supported derivatives, higher-order derivatives, partial derivatives, definite integrals and antiderivatives.
x² Algebra and Equations
Algebra calculators can help solve quadratic equations, factor supported polynomials and investigate systems of equations. Numerical root-finding methods can approximate solutions when an exact form is difficult to obtain.
Check the individual calculator's instructions for the expression formats and methods it supports.
∇ Number Theory and Advanced Calculus
Number theory tools cover divisors, prime factorization, greatest common divisors and higher hyperoperations. Multivariable calculus tools explore gradients, divergence, curl, Jacobians and Hessians.
For advanced linear algebra, matrix analysis and related numerical topics, visit the linked Matrices.org resources.
△ Geometry, Area and Distance
Geometry calculators help calculate the area of common shapes, triangle measurements and distances between points. The Pythagorean theorem relates the side lengths of right triangles and can be used to find a missing side when the other two are known.
The Geometry & Measurement directory links to dedicated tools on Superficie.org for area calculations, triangle area, polygon area, area-unit conversions and coordinate distances.
V Volume and Surface Area
Volume measures the three-dimensional space occupied by a solid, while surface area measures the total area covering its exterior. These calculations are useful in geometry, engineering, construction and many applied mathematics problems.
Explore the volume and surface-area calculators for cubes, cuboids, spheres, cylinders and cones on Superficie.org.
About this collection
A Growing Library of Online Math Tools
Summe.org is organized around practical mathematics calculations: sums, series, derivatives, integrals, factorials, algebra, number theory, geometry and related subjects. The directory brings these topics together so visitors can find a dedicated tool without searching through unrelated calculators.
For additional geometry calculations, Summe.org links to Superficie.org, where the geometry calculators are hosted. These external tools open on their original website.
Calculator capabilities vary by page. Review each tool's instructions and verify important results independently, particularly when working with complex expressions or numerical approximations. For more information, visit the About Summe.org page.