Mathematical Analysis Fundamentals

Erscheinungsjahr 2016
ISBN: 978-0-12-810269-5
Verlag: William Andrew Publishing

Buch, Englisch, 362 Seiten, Format (B × H): 152 mm x 229 mm, Gewicht: 490 g

The author's goal is a rigorous presentation of the fundamentals of analysis, starting from elementary level and moving to the advanced coursework. The curriculum of all mathematics (pure or applied) and physics programs include a compulsory course in mathematical analysis. This book will serve as can serve a main textbook of such (one semester) courses. The book can also serve as additional reading for such courses as real analysis, functional analysis, harmonic analysis etc. For non-math major students requiring math beyond calculus, this is a more friendly approach than many math-centric options.

Zielgruppe

Undergraduates, students just beginning to study proof-based mathematics

Autoren/Hrsg.

Bashirov, Agamirza

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis

Inhaltsverzeichnis

1. Sets and Proofs 2. Numbers 3. Convergence 4. Point Set Topology 5. Continuity 6. The Space 7. Differentiation8. Bounded Variation 9. Reimann Integration10. Generalizations of Reimann Integration 11. Transcendental Functions 12. Fourier Series and Integers