Differential and Integral Calculus: Implicit Functions, Stieltjes Integrals and Curvilinear Integrals (De Gruyter Textbook) - Softcover

Georgiev, Svetlin G.; Zennir, Khaled

 
9783119144629: Differential and Integral Calculus: Implicit Functions, Stieltjes Integrals and Curvilinear Integrals (De Gruyter Textbook)
Softcover
ISBN 10: 3119144622 ISBN 13: 9783119144629
Verlag: De Gruyter, 2025

Inhaltsangabe

The book contains six chapters.  In Chapter 1, the set Rn is defined.  n-dimensional ball, sphere, and rectangular neighborhood of a point are defined. Sequences in Rn are defined by their properties.  Open, closed and compact sets in Rn are investigated. The Heine-Borel theorem is formulated and proved. In Chapter 2, functions of several variables are introduced. Limits of functions of several variables are defined with their properties are deducted. Continuous functions of several variables are investigated. Uniform continuity is introduced and explored. In Chapter 3, partial derivatives of higher order and differentials for functions of several variables and their properties are introduced. Criteria for the differentiability of functions of several variables are deducted. Gradient of a function explored. Directional derivatives are defined and investigated. In Chapter 4, higher order partial derivatives of functions of several variables are investigated. The minimum and maximum of functions of several variables are introduced and investigated. Implicit functions are defined and explored. The method of Lagrange multipliers is introduced. The book contains proofs, numerous examples, and exercises with solutions in the two last chapters.

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Über die Autorin bzw. den Autor

Svetlin G. Georgiev works on various aspects of mathematics. His current research focuses on harmonic analysis, ordinary differential equations, partial differential equations, fractional calculus, time scale calculus, integral equations, numerical analysis, differential geometry, and dynamic geometry.

Khaled Zennir: was born in Algeria 1982. He received his PhD in Mathematics in 2013 from Sidi Bel Abbès University, Algeria (Assist. professor).   He is now associate Professor at Qassim University, KSA. His research interests lie in Nonlinear Hyperbolic Partial Differential Equations: Global Existence, Blow-Up, and Long Time Behavior.

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Verlag
De Gruyter
Erscheinungsdatum
2025
Sprache
Englisch
ISBN 10 
3119144622
ISBN 13 
9783119144629
Einband
Tapa blanda
Anzahl der Seiten
342
Kontakt zum Hersteller
De Gruyter
https://blog.degruyter.com

Genthiner Stra?e 13
Berlin
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Deutschland