This lively introductory text exposes the student to the rewards of a rigorous study of functions of a real variable. In each chapter, informal discussions of questions that give analysis its inherent fascination are followed by precise, but not overly formal, developments of the techniques needed to make sense of them. By focusing on the unifying themes of approximation and the resolution of paradoxes that arise in the transition from the finite to the infinite, the text turns what could be a daunting cascade of ...
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This lively introductory text exposes the student to the rewards of a rigorous study of functions of a real variable. In each chapter, informal discussions of questions that give analysis its inherent fascination are followed by precise, but not overly formal, developments of the techniques needed to make sense of them. By focusing on the unifying themes of approximation and the resolution of paradoxes that arise in the transition from the finite to the infinite, the text turns what could be a daunting cascade of definitions and theorems into a coherent and engaging progression of ideas. Acutely aware of the need for rigor, the student is much better prepared to understand what constitutes a proper mathematical proof and how to write one. Fifteen years of classroom experience with the first edition of Understanding Analysis have solidified and refined the central narrative of the second edition. Roughly 150 new exercises join a selection of the best exercises fromthe first edition, and three more project-style sections have been added. Investigations of Euler's computation of (2), the Weierstrass Approximation Theorem, and the gamma function are now among the book's cohort of seminal results serving as motivation and payoff for the beginning student to master the methods of analysis.
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Add this copy of Understanding Analysis to cart. $19.97, fair condition, Sold by HPB-Red rated 5.0 out of 5 stars, ships from Dallas, TX, UNITED STATES, published 2015 by Springer.
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Fair. Connecting readers with great books since 1972. Used textbooks may not include companion materials such as access codes, etc. May have condition issues including wear and notes/highlighting. We ship orders daily and Customer Service is our top priority!
Add this copy of Understanding Analysis to cart. $24.20, good condition, Sold by HPB-Red rated 5.0 out of 5 stars, ships from Dallas, TX, UNITED STATES, published 2015 by Springer.
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Good. Connecting readers with great books since 1972! Used textbooks may not include companion materials such as access codes, etc. May have some wear or writing/highlighting. We ship orders daily and Customer Service is our top priority!
Add this copy of Understanding Analysis (Undergraduate Texts in to cart. $25.48, good condition, Sold by Greenworld Books rated 5.0 out of 5 stars, ships from Arlington, TX, UNITED STATES, published 2015 by Springer.
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Good condition book with a firm cover and clean readable pages. Shows normal use including some light wear or limited notes highlighting yet remains a dependable copy overall. Supplemental items like CDs or access codes may not be included.
Add this copy of Understanding Analysis (Undergraduate Texts in to cart. $26.48, very good condition, Sold by Warriors SG rated 5.0 out of 5 stars, ships from Somerset, NJ, UNITED STATES, published 2015 by Springer.
Add this copy of Understanding Analysis (Undergraduate Texts in to cart. $26.48, good condition, Sold by Warriors SG rated 5.0 out of 5 stars, ships from Somerset, NJ, UNITED STATES, published 2015 by Springer.
Add this copy of Understanding Analysis (Undergraduate Texts in to cart. $31.90, very good condition, Sold by BookHolders rated 5.0 out of 5 stars, ships from Gambrills, MD, UNITED STATES, published 2015 by Springer.
Add this copy of Understanding Analysis (Undergraduate Texts in to cart. $31.90, good condition, Sold by BookHolders rated 5.0 out of 5 stars, ships from Gambrills, MD, UNITED STATES, published 2015 by Springer.
