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.
By:
Agamirza Bashirov (Eastern Mediterranean University Gazimagusa Turkey) Imprint: Elsevier Science Publishing Co Inc Country of Publication: United States Dimensions:
Height: 229mm,
Width: 152mm,
Spine: 19mm
Weight: 450g ISBN:9780128102695 ISBN 10: 0128102691 Pages: 362 Publication Date:19 August 2016 Audience:
Professional and scholarly
,
Undergraduate
Format:Paperback Publisher's Status: Active
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
Reviews for Mathematical Analysis Fundamentals
"""... the book does have numerous good exercises that test the student’s grasp and cover some advanced topics, and it does give thorough coverage of much of classical analysis…"" --MAA Reviews, 2014"