03505cam a2200589Ii 4500 ocn875558741 OCoLC 20190328114807.0 m o d cr cnu---unuuu 140403s2014 ne ob 000 0 eng d 2014931794 N$T eng rda pn N$T OPELS YDXCP E7B OCLCF COO REB OCLCQ RIU FEM OCLCO U3W D6H OTZ WYU GBB412503 bnb 016620597 Uk 898067637 969047134 1026449990 1066050037 9780128010501 (electronic bk.) 0128010509 (electronic bk.) 9780128010013 0128010010 9780128102695 (pbk) 0128102691 (pbk) (OCoLC)875558741 (OCoLC)898067637 (OCoLC)969047134 (OCoLC)1026449990 (OCoLC)1066050037 QA300 MAT 005000 bisacsh MAT 034000 bisacsh 515 23 Bashirov, Agamirza E., author. Mathematical analysis fundamentals / [electronic resource] A.E. Bashirov. 1st ed. Amsterdam : Elsevier, 2014. 1 online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file rda Elsevier insights Includes bibliographical references. Print version record. 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. Friendly and well-rounded presentation of pre-analysis topics such as sets, proof techniques and systems of numbers. Deeper discussion of the basic concept of convergence for the system of real numbers, pointing out its specific features, and for metric spaces Presentation of Riemann integration and its place in the whole integration theory for single variable, including the Kurzweil-Henstock integration Elements of multiplicative calculus aiming to demonstrate the non-absoluteness of Newtonian calculus. 1. Sets and proofs -- 2. Numbers -- 3. Convergence -- 4. Point set theory -- 5. Continuity -- 6. Space C(E, E') -- 7. Differentiation -- 8. Bounded variation -- 9. Riemann integration -- 10. Generalizations of Riemann integration -- 11. Transcendental functions -- 12. Fourier series and integrals. Mathematical analysis. MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Mathematical analysis. fast (OCoLC)fst01012068 Analysis gnd (DE-588)4001865-9 Electronic books. Electronic books. Print version: Bashirov, Agamirza E. Mathematical analysis fundamentals 9780128010013 (OCoLC)870424847 Elsevier insights. ScienceDirect http://www.sciencedirect.com/science/book/9780128010013 246896 246896