# Questions tagged [calculus-and-analysis]

Questions related to the calculus and analysis branches of Mathematica, including, but not limited to, limits, derivatives, integrals, series, and residues.

2,946 questions
Filter by
Sorted by
Tagged with
85 views

63 views

### visualizing branch cut of a complex function

I'm working in the plotting the branch cut of a complex function, namely: $w(z) = (2+z) \ln(2+z) - 2(1+z) \ln(1+z) + z \ln z$. To do so, I have tried this: ...
26 views

### Contracting the KroneckerDelta should bring it back

I would like to define a function $$V[\phi] = \sum_{1\leq i,j,k,l\leq dim}\lambda_{ijkl} \phi_i\phi_j\phi_k\phi_l,$$ with $\lambda_{ijkl}$ defined by contractions of the type $\delta_{ij}\delta_{kl}$...
35 views

### Wrong derivative for a function that I try to define without explicitly giving number of variables

What I actually want is to define functions depending on the number of variables which will be specified during some computation. My (probably wrong) attempt is ...
58 views

### Get Inverse Function in a certain domain

I'm trying to make Mathematica giving me the inverse function of $f$ (below) when restricted to the interval $[v,1]$. Using ConditionalExpression or ...
112 views

65 views

### defining rule for derivative on arbitrary function

Is there a way in Mathematica for defining rules for derivatives on undefined functions? For example, I would like to define a rule such that for any function $f(x,y)$, when I take the $x$-derivative ...
104 views