By Pietro-Luciano Buono
This textbook bargains a high-level advent to multi-variable differential calculus. Differential types are brought incrementally within the narrative, finally resulting in a unified therapy of Green’s, Stokes’ and Gauss’ theorems. in addition, the presentation deals a ordinary path to differential geometry.
Calculus of Vector Functions
Tangent areas and 1-forms
Differential Calculus of Mappings
Applications of Differential Calculus
Double and Triple Integrals
Wedge items and external Derivatives
Integration of Forms
Stokes’ Theorem and purposes
Read Online or Download Advanced Calculus: Differential Calculus and Stokes' Theorem (De Gruyter Textbook) PDF
Similar calculus books
Because the book of the 1st variation of this e-book, the realm of mathematical finance has grown quickly, with monetary analysts utilizing extra subtle mathematical strategies, akin to stochastic integration, to explain the habit of markets and to derive computing tools. conserving the lucid form of its well known predecessor, creation to Stochastic Calculus utilized to Finance, moment variation accommodates a few of these new thoughts and ideas to supply an obtainable, updated initiation to the sector.
For over 3 a long time, this best-selling vintage has been utilized by millions of scholars within the usa and in a foreign country as a must have textbook for a transitional direction from calculus to research. It has confirmed to be very important for arithmetic majors who've no earlier adventure with rigorous proofs.
This commonplace paintings applies tensorial how to topics in the realm of complex collage arithmetic. In its 4 major divisions, it explains the elemental principles and the notation of tensor thought; covers the geometrical remedy of tensor algebra; introduces the idea of the differentiation of tensors; and applies arithmetic to dynamics, electrical energy, elasticity, and hydrodynamics.
Includes a wealth of inequalities utilized in linear research, and explains intimately how they're used. The e-book starts with Cauchy's inequality and ends with Grothendieck's inequality, in among one unearths the Loomis-Whitney inequality, maximal inequalities, inequalities of Hardy and of Hilbert, hypercontractive and logarithmic Sobolev inequalities, Beckner's inequality, and plenty of, many extra.
- A Double Hall Algebra Approach to Affine Quantum Schur-Weyl Theory (London Mathematical Society Lecture Note Series)
- Cracking the AP Calculus AB Exam 2017, Premium Edition (College Test Preparation)
- Nonmeasurable Sets and Functions (North-Holland Mathematics Studies)
- Mathematik für Technische Gymnasien und Berufliche Oberschulen Band 1: Analysis (German Edition)
- Holomorphic Function Theory in Several Variables: An Introduction (Universitext)
- Hyperbolic Differential Operators and Related Problems
Extra info for Advanced Calculus: Differential Calculus and Stokes' Theorem (De Gruyter Textbook)
Advanced Calculus: Differential Calculus and Stokes' Theorem (De Gruyter Textbook) by Pietro-Luciano Buono