Multivariate calculus

Part 1 of ebook "Multivariate calculus and geometry (Third edition)" provides readers with contents including: Chapter 1 - Introduction to differentiable functions; Chapter 2 - Level sets and tangent spaces; Chapter 3 - Lagrange multipliers; Chapter 4 - Maxima and minima on open sets; Chapter 5 - Curves in Rn; Chapter 6 - Line integrals; Chapter 7 - The Frenet-Serret equations; Chapter 8 - Geometry of curves in R3; Chapter 9 - Double integration; Chapter 10 - Parametrized surfaces in R3;...

126p daonhiennhien 03-07-2024 1 1   Download

Part 2 of ebook "Multivariate calculus and geometry (Third edition)" provides readers with contents including: Chapter 11 - Surface area; Chapter 12 - Surface integrals; Chapter 13 - Stokes' theorem; Chapter 14 - Triple integrals; Chapter 15 - The divergence theorem; Chapter 16 - Geometry of surfaces in R3; Chapter 17 - Gaussian curvature; Chapter 18 - Geodesic curvature;...

130p daonhiennhien 03-07-2024 1 1   Download

This book covers calculus in two and three variables. It is suitable for a one-semester course, normally known as “Vector Calculus”, “Multivariable Calculus”, or simply “Calculus III”. The prerequisites are the standard courses in single-variable calculus (a.k.a. Calculus I and II). Ebook Vector calculus presents the following content: Chapter 1 vectors in euclidean space, chapter 2 functions of several variables, chapter 3 multiple integrals, chapter 4 line and surface integrals.

222p zizaybay1103 29-05-2024 5 3   Download

Ebook "Physical oceanography: A mathematical introduction with matlab®" is about the interplay between applied mathematics and the field of geophysical fluid dynamics. Its primary goals are to demonstrate how one uses the basic tenets of multivariate calculus to derive the governing equations of fluid dynamics in a rotating frame, and how one uses methods from linear algebra and partial differential equations to solve some of the basic initial-boundary value problems that have become the hallmark of physical oceanography.

454p duongthandue0501 28-02-2024 2 1   Download

Part 1 book "Calculus of variations" includes content: The foundations of calculus of variations; constrained variational problems; multivariate functionals; higher order derivatives; the inverse problem of the calculus of variations; direct methods of calculus of variations.

94p muasambanhan06 03-02-2024 2 1   Download

Ebook "Stochastic calculus of variations in mathematical finance" demonstrating the relevance of Malliavin calculus for Mathematical Finance, starts with an exposition from scratch of this theory. Greeks (price sensitivities) are reinterpreted in terms of Malliavin calculus. Integration by parts formulae provide stable Monte Carlo schemes for numerical valuation of digital options.

148p loivantrinh 29-10-2023 6 3   Download

Continued part 1, part 2 of ebook "An introduction to mathematics for economics" provides readers with contents including: Chapter 6 - Multivariate calculus; Chapter 7 - Integral calculus; Appendix A - Matrix algebra; Appendix B - An introduction to difference and differential equations;...

121p hanlinhchi 28-08-2023 5 4   Download

In this paper, we study the Lagrange multiplier method of the extrema of a multivariable function, from which we apply to solve problems of finding the maximum and minimum values of general math. Moreover, from the maximum value, the smallest value found, we can find a primary solution to the problem. In addition, we also create new math problems for secondary and high school students.

10p vineville 08-02-2023 3 2   Download

(BQ) Ebook Numerical Method for unconstrained optimization and nonlinear equations: Part 1 presents the following content: Nonlinear problems in one variable, numerical linear algebra background, multivariable calculus background, Newton's method for nonlinear equations and unconstrained minimization, globally convergent modifications of Newton's Method.

171p runordie6 10-08-2022 20 4   Download

part 2 book “mathematica” has contents: rational and algebraic functions, the art of simplification, differential calculus, integral calculus, multivariate calculus, maximum and minimum values, multiple integrals, ordinary differential equations, matrix operations, linear systems of equations,… and other contents.

174p tieu_vu13 06-08-2018 17 2   Download

calculus teachers recognize calculus as the leading resource among the reform projects that employ the rule of four and streamline the curriculum in order to deepen conceptual understanding. the book continues the effort to promote courses in which understanding and computation reinforce each other.

638p bautroibinhyen20 06-03-2017 68 9   Download

(bq) the book uses all strands of the 'rule of four' - graphical, numeric, symbolic/algebraic, and verbal/applied presentations - to make concepts easier to understand. the book focuses on exploring fundamental ideas rather than comprehensive coverage of multiple similar cases that are not fundamentally unique.

518p bautroibinhyen20 06-03-2017 61 6   Download

CalculusPublisher: Wikibooks 2011Number of pages: 456Description:This wikibook aims to be a quality calculus textbook through which users may master the discipline. Standard topics such as limits, differentiation and integration are covered as well as sequences and series, multivariable and differential calculus.......

129p nunongnuna 03-04-2013 60 5   Download

I wrote this text for a one semester course at the sophomore-junior level. Our experience with students taking our junior physics courses is that even if they’ve had the mathematical prerequisites, they usually need more experience using the mathematics to handle it efficiently and to possess usable intuition about the processes involved. If you’ve seen infinite series in a calculus course, you may have no idea that they’re good for anything.

456p camnhung_1 13-12-2012 58 12   Download

In this Chapter, we quickly review some basic definitions and concepts from thermodynamics. We then provide a brief description of the first and second laws of thermodynamics. Next, we discuss the mathematical consequences of these laws and cover some relevant theorems in multivariate calculus. Finally, free energies and their importance are introduced.

90p sn_buon 29-11-2012 54 0   Download

This work gives an overview of core topics in the “investment” side of finance, stressing the quantitative aspects of the subject. The presentation is at a moderately sophisticated level that would be appropriate for masters or early doctoral students in economics, engineering, finance, and mathematics. It would also be suitable for advanced and well motivated undergraduates-provided they are adequately prepared in math, probability, and statistics.

399p baobinh1311 25-09-2012 129 39   Download

This book is intended to serve as the textbook for a …rst-year graduate course in econometrics. It can be used as a stand-alone text, or be used as a supplement to another text. Students are assumed to have an understanding of multivariate calculus, probability theory, linear algebra, and mathematical statistics. A prior course in undergraduate econometrics would be helpful, but not required. For reference, some of the basic tools of matrix algebra, probability, and statistics are reviewed in the Appendix....

299p conrepcon 12-04-2012 69 29   Download