Mathematical Analysis I

• Κύριοι συγγραφείς: Canuto, Claudio (Συγγραφέας), Tabacco, Anita (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2015.
• Έκδοση: Second Edition.
• Σειρά: UNITEXT, 84
• Θέματα: Mathematics.; Differential equations.; Partial differential equations.; Partial Differential Equations.; Ordinary Differential Equations.

The purpose of the volume is to provide a support for a first course in Mathematics. The contents are organised to appeal especially to Engineering, Physics and Computer Science students, all areas in which mathematical tools play a crucial role. Basic notions and methods of differential and integra...

Πίνακας περιεχομένων:

• 1 Basic notions
• 2 Functions
• 3 Limits and continuity I
• 4 Limits and continuity II
• 5 Local comparison of functions. Numerical sequences and series
• 6 Differential calculus
• 7 Taylor expansions and applications
• 8 Geometry in the plane and in space
• 9 Integral calculus I
• 10 Integral calculus II
• 11 Ordinary differential equations
• 12 A.1 The Principle of Mathematical Induction
• 13 A.2 Complements on limits and continuity.- 14 A.3 Complements on the global features of continuous maps
• 15 A.4 Complements on differential calculus
• 16 A.5 Complements on integral calculus
• 17 Tables and Formulas.