diff --git a/README.md b/README.md
index c328ce86..cdabebe0 100644
--- a/README.md
+++ b/README.md
@@ -40,7 +40,7 @@ q2 = rand(Quat)
 q3 = q * q2
 
 # Take the inverse (equivalent to transpose)
-q_inv = q'
+q_inv = transpose(q)
 q_inv == inv(q)
 p ≈ q_inv * (q * p)
 q4 = q3 / q2  # q4 = q3 * inv(q2)
@@ -102,7 +102,7 @@ j2 = Rotations.jacobian(q, p) # How does the rotated point q*p change w.r.t. the
 
 4. **Rodrigues Vector** `RodriguesVec{T}`
 
-    A 3D rotation encoded by an angle-axis representation as `angle * axis`.  
+    A 3D rotation encoded by an angle-axis representation as `angle * axis`.
     This type is used in packages such as [OpenCV](http://docs.opencv.org/2.4/modules/calib3d/doc/camera_calibration_and_3d_reconstruction.html#void%20Rodrigues%28InputArray%20src,%20OutputArray%20dst,%20OutputArray%20jacobian%29).
 
     Note: If you're differentiating a Rodrigues Vector check the result is what
diff --git a/REQUIRE b/REQUIRE
index 615d67b6..d061b3d8 100644
--- a/REQUIRE
+++ b/REQUIRE
@@ -1,2 +1,3 @@
 julia 0.6
 StaticArrays 0.6.5
+Compat
diff --git a/perf/runbenchmarks.jl b/perf/runbenchmarks.jl
index be15d370..789936ab 100644
--- a/perf/runbenchmarks.jl
+++ b/perf/runbenchmarks.jl
@@ -1,6 +1,7 @@
 using Rotations
 using BenchmarkTools
 import Base.Iterators: product
+import Compat.Random: srand
 
 const T = Float64
 
@@ -11,16 +12,23 @@ suite["conversions"] = BenchmarkGroup()
 rotationtypes = (RotMatrix3{T}, Quat{T}, SPQuat{T}, AngleAxis{T}, RodriguesVec{T})
 for (from, to) in product(rotationtypes, rotationtypes)
     if from != to
-        name = "$(string(from)) -> $(string(to))"
+        name = if VERSION < v"0.7.0-"
+            "$(string(from)) -> $(string(to))"
+        else
+            "Rotations.$(string(from)) -> Rotations.$(string(to))"
+        end
         # use eval here because of https://github.com/JuliaCI/BenchmarkTools.jl/issues/50#issuecomment-318673288
         suite["conversions"][name] = eval(:(@benchmarkable convert($to, rot) setup = rot = rand($from)))
     end
 end
 
 suite["composition"] = BenchmarkGroup()
-suite["composition"]["RotMatrix{3} * RotMatrix{3}"] = @benchmarkable r1 * r2 setup = (r1 = rand(RotMatrix3{T}); r2 = rand(RotMatrix3{T}))
+suite["composition"]["RotMatrix{3} * RotMatrix{3}"] = @benchmarkable(
+    r1 * r2,
+    setup = (r1 = rand(RotMatrix3{T}); r2 = rand(RotMatrix3{T}))
+)
 
-paramspath = joinpath(dirname(@__FILE__), "benchmarkparams.json")
+paramspath = joinpath(@__DIR__, "benchmarkparams.json")
 if isfile(paramspath)
     loadparams!(suite, BenchmarkTools.load(paramspath)[1], :evals, :samples);
 else
diff --git a/src/Rotations.jl b/src/Rotations.jl
index 0e33a87b..1ecdd716 100644
--- a/src/Rotations.jl
+++ b/src/Rotations.jl
@@ -3,9 +3,12 @@ __precompile__(true)
 
 module Rotations
 
+using Compat
+using Compat.LinearAlgebra
 using StaticArrays
 
-import Base: convert, eltype, size, length, getindex, inv, *, Tuple, eye
+import Base: convert, eltype, size, length, getindex, *, Tuple
+import Compat.LinearAlgebra: inv, eye
 
 include("util.jl")
 include("core_types.jl")
diff --git a/src/core_types.jl b/src/core_types.jl
index 963467ba..599541d3 100644
--- a/src/core_types.jl
+++ b/src/core_types.jl
@@ -9,8 +9,8 @@ abstract type Rotation{N,T} <: StaticMatrix{N,N,T} end
 Base.@pure StaticArrays.Size(::Type{Rotation{N}}) where {N} = Size(N,N)
 Base.@pure StaticArrays.Size(::Type{Rotation{N,T}}) where {N,T} = Size(N,N)
 Base.@pure StaticArrays.Size(::Type{R}) where {R<:Rotation} = Size(supertype(R))
-Base.ctranspose(r::Rotation) = inv(r)
-Base.transpose(r::Rotation{N,T}) where {N,T<:Real} = inv(r)
+Compat.adjoint(r::Rotation) = inv(r)
+Compat.transpose(r::Rotation{N,T}) where {N,T<:Real} = inv(r)
 
 # Rotation angles and axes can be obtained by converting to the AngleAxis type
 rotation_angle(r::Rotation) = rotation_angle(AngleAxis(r))
@@ -102,11 +102,11 @@ Base.@propagate_inbounds Base.getindex(r::RotMatrix, i::Int) = r.mat[i]
 @inline (::Type{RotMatrix{2,T}})(θ::Real) where {T} = RotMatrix(@SMatrix T[cos(θ) -sin(θ); sin(θ) cos(θ)])
 
 # A rotation is more-or-less defined as being an orthogonal (or unitary) matrix
-Base.inv(r::RotMatrix) = RotMatrix(r.mat')
+inv(r::RotMatrix) = RotMatrix(r.mat')
 
 # A useful constructor for identity rotation (eye is already provided by StaticArrays, but needs an eltype)
-@inline Base.eye(::Type{RotMatrix{N}}) where {N} = RotMatrix((eye(SMatrix{N,N,Float64})))
-@inline Base.eye(::Type{RotMatrix{N,T}}) where {N,T} = RotMatrix((eye(SMatrix{N,N,T})))
+@inline eye(::Type{RotMatrix{N}}) where {N} = RotMatrix((eye(SMatrix{N,N,Float64})))
+@inline eye(::Type{RotMatrix{N,T}}) where {N,T} = RotMatrix((eye(SMatrix{N,N,T})))
 
 # By default, composition of rotations will go through RotMatrix, unless overridden
 @inline *(r1::Rotation, r2::Rotation) = RotMatrix(r1) * RotMatrix(r2)
@@ -150,32 +150,18 @@ function isrotation(r::AbstractMatrix{T}, tol::Real = 1000 * eps(eltype(T))) whe
     return d < tol
 end
 
-
-# A simplification and specialization of the Base.showarray() function makes
-# everything sensible at the REPL.
-function Base.showarray(io::IO, X::Rotation, repr::Bool = true; header = true)
-    if !haskey(io, :compact)
-        io = IOContext(io, compact=true)
-    end
-    if repr
-        if isa(X, RotMatrix)
-            Base.print_matrix_repr(io, X)
-        else
-            print(io, typeof(X).name.name)
-            n_fields = length(fieldnames(typeof(X)))
-            print(io, "(")
-            for i = 1:n_fields
-                print(io, getfield(X, i))
-                if i < n_fields
-                    print(io, ", ")
-                end
-            end
-            print(io, ")")
+@static if VERSION < v"0.7-"
+    # A simplification and specialization of the Base.showarray() function makes
+    # everything sensible at the REPL.
+    function Base.showarray(io::IO, X::Rotation, repr::Bool = true; header = true)
+        if !haskey(io, :compact)
+            io = IOContext(io, compact=true)
         end
-    else
-        if header
-            print(io, summary(X))
-            if !isa(X, RotMatrix)
+        if repr
+            if isa(X, RotMatrix)
+                Base.print_matrix_repr(io, X)
+            else
+                print(io, typeof(X).name.name)
                 n_fields = length(fieldnames(typeof(X)))
                 print(io, "(")
                 for i = 1:n_fields
@@ -186,14 +172,55 @@ function Base.showarray(io::IO, X::Rotation, repr::Bool = true; header = true)
                 end
                 print(io, ")")
             end
-            println(io, ":")
+        else
+            if header
+                print(io, summary(X))
+                if !isa(X, RotMatrix)
+                    n_fields = length(fieldnames(typeof(X)))
+                    print(io, "(")
+                    for i = 1:n_fields
+                        print(io, getfield(X, i))
+                        if i < n_fields
+                            print(io, ", ")
+                        end
+                    end
+                    print(io, ")")
+                end
+                println(io, ":")
+            end
+            punct = (" ", "  ", "")
+            Base.print_matrix(io, X, punct...)
+        end
+    end
+else
+    # A simplification and specialization of the Base.show function for AbstractArray makes
+    # everything sensible at the REPL.
+    function Base.show(io::IO, ::MIME"text/plain", X::Rotation)
+        if !haskey(io, :compact)
+            io = IOContext(io, :compact => true)
+        end
+        summary(io, X)
+        if !isa(X, RotMatrix)
+            n_fields = length(fieldnames(typeof(X)))
+            print(io, "(")
+            for i = 1:n_fields
+                print(io, getfield(X, i))
+                if i < n_fields
+                    print(io, ", ")
+                end
+            end
+            print(io, ")")
         end
-        punct = (" ", "  ", "")
-        Base.print_matrix(io, X, punct...)
+        print(io, ":")
+        println(io)
+        io = IOContext(io, :typeinfo => eltype(X))
+        Base.print_array(io, X)
     end
 end
 
 # Removes module name from output, to match other types
 function Base.summary(r::Rotation{N,T}) where {T,N}
-    "$N×$N $(typeof(r).name.name){$(eltype(r))}"
+    inds = indices(r)
+    typestring = last(split(string(typeof(r)), '.'; limit = 2))
+    string(Base.dims2string(length.(inds)), " ", typestring)
 end
diff --git a/src/derivatives.jl b/src/derivatives.jl
index c5d91108..25da3f97 100644
--- a/src/derivatives.jl
+++ b/src/derivatives.jl
@@ -66,7 +66,7 @@ function jacobian(::Type{RotMatrix},  q::Quat)
     #          = (dR(s*q)/dQ*s - s*R(q) * ds/dQ) / s^2
     #          = (dR(s*q)/dQ   - R(q) * ds/dQ) / s
 
-    jac = dsRdQ - R * dsdQ.'
+    jac = dsRdQ - R * transpose(dsdQ)
 
     # now reformat for output.  TODO: is the the best expression?
     # return Vec{4,Mat{3,3,T}}(ith_partial(jac, 1), ith_partial(jac, 2), ith_partial(jac, 3), ith_partial(jac, 4))
@@ -198,7 +198,7 @@ function jacobian(q::Quat, X::AbstractVector)
 
     # and finalize with the quotient rule
     Xo = q * X           # N.B. g(x) = s * Xo, with dG/dx = dRdQs
-    Xom = Xo * dSdQ.'
+    Xom = Xo * transpose(dSdQ)
     return dRdQs -  Xom
 end
 
diff --git a/src/quaternion_types.jl b/src/quaternion_types.jl
index 4d0eb9d8..00b6c2e1 100644
--- a/src/quaternion_types.jl
+++ b/src/quaternion_types.jl
@@ -53,7 +53,7 @@ function (::Type{Q})(t::NTuple{9}) where Q<:Quat
 
     not_orthogonal = randn(3,3)
     u,s,v = svd(not_orthogonal)
-    is_orthogoral = u * diagm([1, 1, sign(det(u * v.'))]) * v.'
+    is_orthogoral = u * diagm([1, 1, sign(det(u * transpose(v)))]) * transpose(v)
     =#
 
     a = 1 + t[1] + t[5] + t[9]
@@ -188,12 +188,12 @@ function Base.:*(q1::Quat, q2::Quat)
             q1.w*q2.z + q1.x*q2.y - q1.y*q2.x + q1.z*q2.w)
 end
 
-function Base.inv(q::Quat)
+function inv(q::Quat)
     Quat(q.w, -q.x, -q.y, -q.z)
 end
 
-@inline Base.eye(::Type{Quat}) = Quat(1.0, 0.0, 0.0, 0.0)
-@inline Base.eye(::Type{Quat{T}}) where {T} = Quat{T}(one(T), zero(T), zero(T), zero(T))
+@inline eye(::Type{Quat}) = Quat(1.0, 0.0, 0.0, 0.0)
+@inline eye(::Type{Quat{T}}) where {T} = Quat{T}(one(T), zero(T), zero(T), zero(T))
 
 """
     rotation_between(from, to)
@@ -274,10 +274,10 @@ end
 @inline Base.:*(r::RotMatrix, spq::SPQuat) = r * Quat(spq)
 @inline Base.:*(spq1::SPQuat, spq2::SPQuat) = Quat(spq1) * Quat(spq2)
 
-@inline Base.inv(spq::SPQuat) = SPQuat(-spq.x, -spq.y, -spq.z)
+@inline inv(spq::SPQuat) = SPQuat(-spq.x, -spq.y, -spq.z)
 
-@inline Base.eye(::Type{SPQuat}) = SPQuat(0.0, 0.0, 0.0)
-@inline Base.eye(::Type{SPQuat{T}}) where {T} = SPQuat{T}(zero(T), zero(T), zero(T))
+@inline eye(::Type{SPQuat}) = SPQuat(0.0, 0.0, 0.0)
+@inline eye(::Type{SPQuat{T}}) where {T} = SPQuat{T}(zero(T), zero(T), zero(T))
 
 # rotation properties
 @inline rotation_angle(spq::SPQuat) = rotation_angle(Quat(spq))
diff --git a/src/util.jl b/src/util.jl
index 89f38b40..967f0014 100644
--- a/src/util.jl
+++ b/src/util.jl
@@ -10,9 +10,9 @@ function perpendicular_vector(vec::SVector{3})
 
     # find indices of the two elements of vec with the largest absolute values:
     absvec = abs.(vec)
-    ind1 = indmax(absvec) # index of largest element
+    ind1 = argmax(absvec) # index of largest element
     @inbounds absvec2 = @SVector [ifelse(i == ind1, typemin(T), absvec[i]) for i = 1 : 3] # set largest element to typemin(T)
-    ind2 = indmax(absvec2) # index of second-largest element
+    ind2 = argmax(absvec2) # index of second-largest element
 
     # perp[ind1] = -vec[ind2], perp[ind2] = vec[ind1], set remaining element to zero:
     @inbounds perpind1 = -vec[ind2]
diff --git a/test/2d.jl b/test/2d.jl
index c25c3465..0249b4e6 100644
--- a/test/2d.jl
+++ b/test/2d.jl
@@ -1,4 +1,4 @@
-using Rotations, StaticArrays, Base.Test
+using Rotations, StaticArrays, Compat.Test
 
 @testset "2d Rotations" begin
 
@@ -38,8 +38,8 @@ using Rotations, StaticArrays, Base.Test
         for i = 1:repeats
             r = rand(R)
             @test isrotation(r)
-            @test inv(r) == r'
-            @test inv(r) == r.'
+            @test inv(r) == adjoint(r)
+            @test inv(r) == transpose(r)
             @test inv(r)*r ≈ I
             @test r*inv(r) ≈ I
         end
@@ -112,14 +112,6 @@ using Rotations, StaticArrays, Base.Test
             @test R * R ≈ T[0 -1; 1 0]
         end
     end
-
-    @testset "show" begin
-        io = IOBuffer()
-        r = rand(RotMatrix{2})
-        show(io, MIME("text/plain"), r)
-        str = String(take!(io))
-        @test startswith(str, "2×2 RotMatrix{Float64}:")
-    end
 end
 
 nothing
diff --git a/test/rotation_tests.jl b/test/rotation_tests.jl
index 72df1857..de5518a5 100644
--- a/test/rotation_tests.jl
+++ b/test/rotation_tests.jl
@@ -108,8 +108,8 @@ all_types = (RotMatrix{3}, Quat, SPQuat, AngleAxis, RodriguesVec,
             srand(0)
             for i = 1:repeats
                 r = rand(R)
-                @test inv(r) == r'
-                @test inv(r) == r.'
+                @test inv(r) == adjoint(r)
+                @test inv(r) == transpose(r)
                 @test inv(r)*r ≈ I
                 @test r*inv(r) ≈ I
             end
@@ -183,7 +183,7 @@ all_types = (RotMatrix{3}, Quat, SPQuat, AngleAxis, RodriguesVec,
     #########################################################################
     function nearest_orthonormal(not_orthonormal)
         u,s,v = svd(not_orthonormal)
-        return u * diagm([1, 1, sign(det(u * v.'))]) * v.'
+        return u * Diagonal([1, 1, sign(det(u * transpose(v)))]) * transpose(v)
     end
 
     @testset "DCM to Quat" begin
@@ -302,4 +302,17 @@ all_types = (RotMatrix{3}, Quat, SPQuat, AngleAxis, RodriguesVec,
         rot = eye(RotMatrix{3, Float64})
         @inferred Tuple(rot)
     end
+
+    @testset "Testing show" begin
+        io = IOBuffer()
+        r = rand(RotMatrix{2})
+        show(io, MIME("text/plain"), r)
+        str = String(take!(io))
+        @test startswith(str, "2×2 RotMatrix{2,Float64,4}:")
+
+        rxyz = RotXYZ(1.0, 2.0, 3.0)
+        show(io, MIME("text/plain"), rxyz)
+        str = String(take!(io))
+        @test startswith(str, "3×3 RotXYZ{Float64}(1.0, 2.0, 3.0):")
+    end
 end
diff --git a/test/runtests.jl b/test/runtests.jl
index 9b7dde53..169a0c3d 100644
--- a/test/runtests.jl
+++ b/test/runtests.jl
@@ -1,7 +1,11 @@
-using Base.Test
+using Compat
+using Compat.Test
+using Compat.LinearAlgebra
 using Rotations
 using StaticArrays
 
+import Compat.Random: srand
+
 # Check that there are no ambiguities beyond those present in StaticArrays
 ramb = detect_ambiguities(Rotations, Base, Core)
 samb = detect_ambiguities(StaticArrays, Base, Core)
@@ -14,4 +18,4 @@ include("2d.jl")
 include("rotation_tests.jl")
 include("derivative_tests.jl")
 
-include(joinpath("..", "perf", "runbenchmarks.jl"))
+include(joinpath(@__DIR__, "..", "perf", "runbenchmarks.jl"))