I'm interested in understanding more about functional derivatives and how to perform calculus of variations on actions (e.g. in general relativity or QFT). What are the best references to gain a practical insight in how to vary actions with respect to some variables?
2026-03-29 12:42:21.1774788141
Textbook recommendation for functional derivatives
208 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail At
1
There are 1 best solutions below
Related Questions in REFERENCE-REQUEST
- Best book to study Lie group theory
- Alternative definition for characteristic foliation of a surface
- Transition from theory of PDEs to applied analysis and industrial problems and models with PDEs
- Random variables in integrals, how to analyze?
- Abstract Algebra Preparation
- Definition of matrix valued smooth function
- CLT for Martingales
- Almost locality of cubic spline interpolation
- Identify sequences from OEIS or the literature, or find examples of odd integers $n\geq 1$ satisfying these equations related to odd perfect numbers
- property of Lebesgue measure involving small intervals
Related Questions in CALCULUS-OF-VARIATIONS
- On sufficient condition for pre-compactness "in measure"(i.e. in Young measure space)
- Weak formulation of Robin boundary condition problem
- Why is the index of a harmonic map finite?
- Variational Formulation - inhomogeneous Neumann boundary
- Relationship between Training Neural Networks and Calculus of Variations
- How to prove a Minimal Surface minimizes Surface Tension
- Derive the Euler–Lagrange equation for a functional a single variable with higher derivatives.
- Does the covariant derivative commute with the variational derivative?
- Derivative of a functional w.r.t. a single point?
- calculus of variations with double integral textbook?
Related Questions in GENERAL-RELATIVITY
- How do I use Maple to calculate the Christoffel Symbols of a Metric?
- Do pp-wave spacetimes have a well-defined signature/index?
- Understanding the tensor notation in special/general theory of relativity
- Difference between $T^{i}_{\;\;j}$ and $T_i^{\;\;j}$?
- How can one write a line element for non-integer dimensions?
- Complex coordinates in curved space
- Riemannian Geometry, GR, importance summary?
- Demonstration of relation between geodesics and FLRW metric
- Product between two timelike vectors in any given metric
- Curvature tensor in terms of the metric tensor
Trending Questions
- Induction on the number of equations
- How to convince a math teacher of this simple and obvious fact?
- Find $E[XY|Y+Z=1 ]$
- Refuting the Anti-Cantor Cranks
- What are imaginary numbers?
- Determine the adjoint of $\tilde Q(x)$ for $\tilde Q(x)u:=(Qu)(x)$ where $Q:U→L^2(Ω,ℝ^d$ is a Hilbert-Schmidt operator and $U$ is a Hilbert space
- Why does this innovative method of subtraction from a third grader always work?
- How do we know that the number $1$ is not equal to the number $-1$?
- What are the Implications of having VΩ as a model for a theory?
- Defining a Galois Field based on primitive element versus polynomial?
- Can't find the relationship between two columns of numbers. Please Help
- Is computer science a branch of mathematics?
- Is there a bijection of $\mathbb{R}^n$ with itself such that the forward map is connected but the inverse is not?
- Identification of a quadrilateral as a trapezoid, rectangle, or square
- Generator of inertia group in function field extension
Popular # Hahtags
second-order-logic
numerical-methods
puzzle
logic
probability
number-theory
winding-number
real-analysis
integration
calculus
complex-analysis
sequences-and-series
proof-writing
set-theory
functions
homotopy-theory
elementary-number-theory
ordinary-differential-equations
circles
derivatives
game-theory
definite-integrals
elementary-set-theory
limits
multivariable-calculus
geometry
algebraic-number-theory
proof-verification
partial-derivative
algebra-precalculus
Popular Questions
- What is the integral of 1/x?
- How many squares actually ARE in this picture? Is this a trick question with no right answer?
- Is a matrix multiplied with its transpose something special?
- What is the difference between independent and mutually exclusive events?
- Visually stunning math concepts which are easy to explain
- taylor series of $\ln(1+x)$?
- How to tell if a set of vectors spans a space?
- Calculus question taking derivative to find horizontal tangent line
- How to determine if a function is one-to-one?
- Determine if vectors are linearly independent
- What does it mean to have a determinant equal to zero?
- Is this Batman equation for real?
- How to find perpendicular vector to another vector?
- How to find mean and median from histogram
- How many sides does a circle have?
I like the book Calculus of Variations by Jost and Li-Jost (see https://www.cambridge.org/de/academic/subjects/mathematics/abstract-analysis/calculus-variations?format=HB&isbn=9780521642033). The initial chapters of the book have a number of explicit computations. Later on, the book even has some material on calculus in Banach spaces which I found especially handy.