Vector Analysis and Quaternions
Index of terms
Every concept, theorem, method and person the concept graph places in a chapter of this book, with the chapters that teach it and the other books on the shelf that teach it too.
Concepts (63)
- algebra
Taught in: Introduction
Also in: A First Book in Algebra, An Introduction to Mathematics, Mathematical Recreations and Essays, The First Steps in Algebra
- alternating current
Taught in: Coaxial Quaternions
Also in: Calculus Made Easy
- angle
Taught in: Coaxial Quaternions
- area
Taught in: Products of Coplanar Vectors
Also in: A Course of Pure Mathematics, Calculus Made Easy, Elementary Illustrations of the Differential and Integral Calculus, Mathematical Recreations and Essays, Plane Geometry, Spherical Trigonometry, for the Use of Colleges and Schools
- arithmetic
Taught in: Introduction
Also in: A First Book in Algebra, An Introduction to Mathematics, Mathematical Recreations and Essays
- axis of rotation
Taught in: Composition of Rotations
- Cartesian analysis
Taught in: Introduction
- cartesian coordinates
Taught in: Introduction, Product of Two Vectors
Also in: A Course of Pure Mathematics, An Introduction to Mathematics, Elementary Illustrations of the Differential and Integral Calculus, Treatise on Thermodynamics
- central axis
Taught in: Composition of Quantities
- centre of mass
Taught in: Composition of Quantities
- coaxial quaternions
Taught in: Coaxial Quaternions
- complementary vector
Taught in: Products of Coplanar Vectors
- complex number
Taught in: Coaxial Quaternions
Also in: A Course of Pure Mathematics, An Introduction to Mathematics, First Course in the Theory of Equations
- composition of rotations
Taught in: Composition of Rotations
- conductor
Taught in: Product of Three Vectors
- cosine
Taught in: Products of Coplanar Vectors, Addition of Vectors in Space, Product of Three Vectors, Spherical Trigonometry
Also in: A Course of Pure Mathematics, An Introduction to Mathematics, Calculus Made Easy, Elementary Illustrations of the Differential and Integral Calculus, Elements of Plane Trigonometry, Solid Geometry with Problems and Applications, Spherical Trigonometry, for the Use of Colleges and Schools
- curvature
Taught in: Products of Coplanar Vectors
- determinant
Taught in: Product of Three Vectors
Also in: A Course of Pure Mathematics, First Course in the Theory of Equations
- directed sine
Taught in: Spherical Trigonometry
- exponent
Taught in: Coaxial Quaternions
Also in: A First Book in Algebra, Calculus Made Easy, Elementary Illustrations of the Differential and Integral Calculus, The First Steps in Algebra
- exponential theorem
Taught in: Spherical Trigonometry, Composition of Rotations
Also in: A Course of Pure Mathematics
- fourth proportional
Taught in: Products of Coplanar Vectors
Also in: Plane Geometry
- independent constituent
Taught in: Products of Coplanar Vectors, Addition of Vectors in Space
Also in: Treatise on Thermodynamics
- infinitesimal
Taught in: Composition of Rotations
Also in: An Introduction to Mathematics, Calculus Made Easy, Elementary Illustrations of the Differential and Integral Calculus, Treatise on Thermodynamics
- intensity
Taught in: Product of Three Vectors
- linear function
Taught in: Introduction
Also in: Treatise on Thermodynamics
- mathematical notation
Taught in: Introduction
Also in: A Course of Pure Mathematics, An Introduction to Mathematics, Elementary Illustrations of the Differential and Integral Calculus, Mathematical Recreations and Essays
- multiplier
Taught in: Coaxial Quaternions
Also in: A First Book in Algebra
- normal
Taught in: Product of Three Vectors
Also in: A Course of Pure Mathematics
- parallelepiped
Taught in: Product of Three Vectors
Also in: Solid Geometry with Problems and Applications, Spherical Trigonometry, for the Use of Colleges and Schools
- parallelogram rule
Taught in: Composition of Rotations
- partial product
Taught in: Products of Coplanar Vectors, Product of Three Vectors
Also in: The First Steps in Algebra
- plane
Taught in: Introduction
Also in: A Course of Pure Mathematics, Plane Geometry, Solid Geometry with Problems and Applications
- polar form of a vector
Taught in: Addition of Vectors in Space
- polygon
Taught in: Products of Coplanar Vectors
Also in: Elementary Illustrations of the Differential and Integral Calculus, Plane Geometry, Spherical Trigonometry, for the Use of Colleges and Schools
- product
Taught in: Products of Coplanar Vectors, Coaxial Quaternions
Also in: A Course of Pure Mathematics, A First Book in Algebra, Calculus Made Easy, Elementary Illustrations of the Differential and Integral Calculus, The First Steps in Algebra
- product of three vectors
Taught in: Product of Three Vectors
- projection
Taught in: Product of Three Vectors
Also in: Elements of Plane Trigonometry, Solid Geometry with Problems and Applications, Treatise on Thermodynamics
- quadrant
Taught in: Spherical Trigonometry
Also in: An Introduction to Mathematics, Plane Geometry, Solid Geometry with Problems and Applications, Spherical Trigonometry, for the Use of Colleges and Schools
- quadratic function
Taught in: Introduction
- quaternion
Taught in: Introduction, Coaxial Quaternions
- quotient
Taught in: Coaxial Quaternions, Spherical Trigonometry
Also in: A First Book in Algebra, Calculus Made Easy, The First Steps in Algebra
- reciprocal
Taught in: Products of Coplanar Vectors, Coaxial Quaternions, Spherical Trigonometry
Also in: A Course of Pure Mathematics, Calculus Made Easy, Elementary Illustrations of the Differential and Integral Calculus, The First Steps in Algebra
- rotation
Taught in: Composition of Rotations
Also in: A Course of Pure Mathematics, Spherical Trigonometry, for the Use of Colleges and Schools
- scalar product
Taught in: Products of Coplanar Vectors, Product of Three Vectors
- scalar triple product
Taught in: Product of Three Vectors
- sine
Taught in: Products of Coplanar Vectors, Addition of Vectors in Space, Product of Three Vectors, Spherical Trigonometry
Also in: A Course of Pure Mathematics, An Introduction to Mathematics, Calculus Made Easy, Elementary Illustrations of the Differential and Integral Calculus, Elements of Plane Trigonometry, Mathematical Recreations and Essays, Solid Geometry with Problems and Applications, Spherical Trigonometry, for the Use of Colleges and Schools
- space analysis
Taught in: Introduction
- spherical triangle
Taught in: Spherical Trigonometry, Composition of Rotations
Also in: Solid Geometry with Problems and Applications, Spherical Trigonometry, for the Use of Colleges and Schools
- spherical trigonometry
Taught in: Spherical Trigonometry
Also in: Mathematical Recreations and Essays, Spherical Trigonometry, for the Use of Colleges and Schools
- square
Taught in: Products of Coplanar Vectors
Also in: A First Book in Algebra, Calculus Made Easy, Plane Geometry, The First Steps in Algebra
- sum
Taught in: Coaxial Quaternions
Also in: A Course of Pure Mathematics, Calculus Made Easy, Elementary Illustrations of the Differential and Integral Calculus, Mathematical Recreations and Essays
- tensor
Taught in: Addition of Coplanar Vectors
- tetrahedron
Taught in: Product of Three Vectors
Also in: Solid Geometry with Problems and Applications, Spherical Trigonometry, for the Use of Colleges and Schools
- torque
Taught in: Products of Coplanar Vectors
- total vector product
Taught in: Product of Three Vectors
- trinomial
Taught in: Composition of Rotations
Also in: A First Book in Algebra, The First Steps in Algebra
- unit vector
Taught in: Addition of Coplanar Vectors, Addition of Vectors in Space
- vector
Taught in: Introduction, Products of Coplanar Vectors, Coaxial Quaternions, Addition of Vectors in Space, Product of Three Vectors, Composition of Rotations
Also in: An Introduction to Mathematics
- vector analysis
Taught in: Introduction
- vector product
Taught in: Products of Coplanar Vectors, Product of Three Vectors, Composition of Quantities
- versor
Taught in: Spherical Trigonometry, Composition of Rotations
- work
Taught in: Products of Coplanar Vectors
Also in: An Elementary Treatise on Electricity, Calculus Made Easy, Mathematical Recreations and Essays, Treatise on Thermodynamics
Theorems (5)
- binomial theorem
Taught in: Spherical Trigonometry
Also in: A Course of Pure Mathematics, A First Book in Algebra, Calculus Made Easy, Elementary Illustrations of the Differential and Integral Calculus, First Course in the Theory of Equations
- fundamental theorem of spherical trigonometry
Taught in: Spherical Trigonometry
- multinomial theorem
Taught in: Composition of Rotations
- theorem of moments
Taught in: Products of Coplanar Vectors
- volume of a parallelepiped
Taught in: Product of Three Vectors
Also in: Solid Geometry with Problems and Applications, Spherical Trigonometry, for the Use of Colleges and Schools
Methods (10)
- composition of located vectors
Taught in: Composition of Quantities
- composition of successive vectors
Taught in: Addition of Coplanar Vectors
- composition of vectors
Taught in: Addition of Coplanar Vectors
- multiplication
Taught in: Product of Three Vectors
Also in: A Course of Pure Mathematics, A First Book in Algebra, An Introduction to Mathematics, The First Steps in Algebra
- product of spherical versors
Taught in: Spherical Trigonometry
- product of two vectors
Taught in: Product of Two Vectors
- resolution of a vector
Taught in: Addition of Coplanar Vectors
- scalar product
Taught in: Product of Two Vectors
- vector addition
Taught in: Addition of Vectors in Space
- vector product
Taught in: Product of Two Vectors
Laws (4)
- distributive law
Taught in: Products of Coplanar Vectors, Product of Two Vectors
Also in: A Course of Pure Mathematics, An Introduction to Mathematics
- dynamo rule
Taught in: Product of Two Vectors
- electric motor rule
Taught in: Product of Two Vectors
- right-handed screw rule
Taught in: Product of Two Vectors
Quantities (17)
- angle
Taught in: Products of Coplanar Vectors, Addition of Vectors in Space, Product of Three Vectors, Composition of Rotations
Also in: An Introduction to Mathematics, Calculus Made Easy, Elementary Illustrations of the Differential and Integral Calculus, Elements of Plane Trigonometry, Mathematical Recreations and Essays, Plane Geometry, Solid Geometry with Problems and Applications
- directed quantity
Taught in: Introduction
- direction
Taught in: Addition of Coplanar Vectors
- electromotive force
Taught in: Coaxial Quaternions
Also in: An Elementary Treatise on Electricity, Calculus Made Easy
- force
Taught in: Products of Coplanar Vectors
Also in: An Elementary Treatise on Electricity, An Introduction to Mathematics, Calculus Made Easy, Elementary Illustrations of the Differential and Integral Calculus, Mathematical Recreations and Essays, Spherical Trigonometry, for the Use of Colleges and Schools
- frequency
Taught in: Coaxial Quaternions
Also in: Calculus Made Easy
- kinetic energy
Taught in: Products of Coplanar Vectors
Also in: Treatise on Thermodynamics
- length
Taught in: Product of Three Vectors
Also in: An Introduction to Mathematics, Elementary Illustrations of the Differential and Integral Calculus
- magnetic flux
Taught in: Product of Two Vectors
- mass
Taught in: Products of Coplanar Vectors
Also in: An Introduction to Mathematics, Calculus Made Easy, Mathematical Recreations and Essays, Treatise on Thermodynamics
- mass-vector
Taught in: Composition of Quantities
- radius of curvature
Taught in: Products of Coplanar Vectors
Also in: A Course of Pure Mathematics
- resistance
Taught in: Coaxial Quaternions
Also in: An Elementary Treatise on Electricity, Calculus Made Easy
- resultant force
Taught in: Composition of Quantities
- self-induction
Taught in: Coaxial Quaternions
Also in: Calculus Made Easy
- velocity
Taught in: Products of Coplanar Vectors, Product of Three Vectors
Also in: A Course of Pure Mathematics, An Introduction to Mathematics, Calculus Made Easy, Elementary Illustrations of the Differential and Integral Calculus, Mathematical Recreations and Essays
- volume
Taught in: Product of Three Vectors
Also in: An Introduction to Mathematics, Mathematical Recreations and Essays, Solid Geometry with Problems and Applications, Spherical Trigonometry, for the Use of Colleges and Schools, Treatise on Thermodynamics
Units (1)
People (2)
- Arthur Cayley
Taught in: Composition of Rotations
Also in: Mathematical Recreations and Essays
- William Rowan Hamilton
Taught in: Coaxial Quaternions, Spherical Trigonometry
Also in: Mathematical Recreations and Essays