Download Advanced Calculus: Differential Calculus and Stokes' Theorem by Pietro-Luciano Buono PDF

By Pietro-Luciano Buono

This textbook deals a high-level creation to multi-variable differential calculus. Differential types are brought incrementally within the narrative, ultimately resulting in a unified remedy of Green’s, Stokes’ and Gauss’ theorems. additionally, the presentation bargains a typical path to differential geometry.

Contents:
Calculus of Vector Functions
Tangent areas and 1-forms
Line Integrals
Differential Calculus of Mappings
Applications of Differential Calculus
Double and Triple Integrals
Wedge items and external Derivatives
Integration of Forms
Stokes’ Theorem and purposes

Show description

Read or Download Advanced Calculus: Differential Calculus and Stokes' Theorem (De Gruyter Textbook) PDF

Similar calculus books

Ellipsoidal Harmonics (Encyclopedia of Mathematics and its Applications, 146)

The field is what could be referred to as an ideal form. regrettably nature is imperfect and lots of our bodies are larger represented via an ellipsoid. the speculation of ellipsoidal harmonics, originated within the 19th century, may well basically be heavily utilized with the type of computational energy to be had in recent times.

Topics in Nonconvex Optimization: Theory and Applications: 50 (Springer Optimization and Its Applications)

Nonconvex Optimization is a multi-disciplinary examine box that bargains with the characterization and computation of local/global minima/maxima of nonlinear, nonconvex, nonsmooth, discrete and non-stop features. Nonconvex optimization problems are usually encountered in modeling actual global structures for a truly huge variety of purposes together with engineering, mathematical economics, administration technology, monetary engineering, and social technological know-how.

Mathematical Methods for Elastic Plates (Springer Monographs in Mathematics)

Mathematical versions of deformation of elastic plates are utilized by utilized mathematicians and engineers in reference to a variety of useful functions, from microchip construction to the development of skyscrapers and airplane. This booklet employs vital analytic strategies to unravel the elemental boundary price difficulties for the idea of plates with transverse shear deformation, which deals a extra entire photo of the actual strategy of bending than Kirchhoff’s classical one.

A Course of Higher Mathematics: Integration and Functional Analysis

A process better arithmetic, quantity V specializes in the speculation of integration and components of useful research. This publication is prepared into 5 chapters. bankruptcy I discusses the speculation of the classical Stieltjes critical and house C of constant services, whereas bankruptcy II bargains with the rules of the metric concept of features of a true variable and Lebesgue-Stieltjes quintessential.

Extra info for Advanced Calculus: Differential Calculus and Stokes' Theorem (De Gruyter Textbook)

Sample text

Download PDF sample

Rated 4.61 of 5 – based on 43 votes