Differential and Integral Calculus - Kergroach, William
19,99 €
inkl. MwSt.

Versandfertig in über 4 Wochen
payback
10 °P sammeln
  • Broschiertes Buch

This book, Differential and Integral Calculus - Real Functions of One or Several Real Variables, presents the fundamental concepts of differential and integral calculus. It is intended for advanced mathematics students as well as professionals requiring a solid command of mathematical analysis tools for technical or scientific tasks. The book is divided into six major parts: 1. Differential Calculus: o Chapters covering the fundamentals of real functions of one variable, normed vector spaces, and differential operators. o Each section is accompanied by solved exercises to reinforce…mehr

Andere Kunden interessierten sich auch für
Produktbeschreibung
This book, Differential and Integral Calculus - Real Functions of One or Several Real Variables, presents the fundamental concepts of differential and integral calculus. It is intended for advanced mathematics students as well as professionals requiring a solid command of mathematical analysis tools for technical or scientific tasks. The book is divided into six major parts: 1. Differential Calculus: o Chapters covering the fundamentals of real functions of one variable, normed vector spaces, and differential operators. o Each section is accompanied by solved exercises to reinforce understanding. 2. Integral Calculus: o In-depth discussions on integrals of multivariable functions, line integrals, and surface integrals. o Practical exercises to illustrate physical and engineering applications. 3. Calculus of Variations and Differential Equations: o Exploration of the principles of calculus of variations, existence and uniqueness theorems, and dynamical systems. o Application of Fourier analysis to evolution equations, with solved exercises to strengthen comprehension. 4. Analysis on Differential Manifolds: o Introduction to differential manifolds, tensor calculus, and Morse theory, with applications in general relativity and geometry. o Each chapter is followed by solved exercises, allowing mastery of advanced concepts. 5. Numerical Methods and Integration Schemes: o Presentation of discretization methods, integration schemes, and advanced numerical methods such as finite elements and spectral methods. o Practical exercises for solving problems in fluid dynamics and structural mechanics. 6. Stochastic Calculus and Applications: o Introduction to stochastic processes and stochastic differential equations, with applications in finance, biology, and physics. o Exercises to apply stochastic calculus to random models and control processes. Conclusion and Appendices: The book concludes with a chapter dedicated to multivariable integration theorems, including Green's, Stokes', and Gauss' theorems, and their extensions to higher dimensions. The appendices provide a review of fundamental theorems in functional analysis, such as the best approximation theorem, Riesz's lemma, and the Arzelà-Ascoli theorem. This book is thus a comprehensive and structured guide for anyone seeking to master differential and integral calculus, with particular attention to practical applications in various scientific and technical fields.
Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.