TY - BOOK AU - Bridger,Mark TI - Real analysis: a constructive approach T2 - Pure and applied mathematics SN - 9781118357064 U1 - 515.8 23 PY - 2012/// CY - New Jersey PB - Wiley-Interscience KW - Mathematical analysis KW - Real analysis KW - Continuity KW - Differentiable functions N1 - Includes bibliographical references (p. 295) and index; 0. Preliminaries -- 1. The Real Numbers and Completeness -- 2. An Inverse Function Theorem and Its Application -- 3. Limits, Sequences and Series -- 4. Uniform Continuity -- 5. The Riemann Integral -- 6. Differentiation -- 7. Sequences and Series of Functions -- 8. The Complex Numbers and Fourier Series-- References-- Index N2 - This book is both an introduction to the techniques and results of analysis as well as an introduction to mathematics itself. Through examples and elementary propositions, readers are introduced to the way mathematicians think about analysis, argue it, and write it ER -