Elementary Analysis by Kenneth Allen Ross
Designed for students having no previous experience with rigorous proofs, this text can be used immediately after standard calculus courses. It is highly recommended for anyone planning to study advanced analysis, as well as for future secondary school teachers. A limited number of concepts involving the real line and functions on the real line are studied, while many abstract ideas, such as metric spaces and ordered systems, are avoided completely. A thorough treatment of sequences of numbers is used as a basis for studying standard calculus topics, and optional sections invite students to study such topics as metric spaces and Riemann-Stieltjes integrals.-
Linear Algebra Done Right
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Understanding Analysis
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Introduction to Analytic Number Theory
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Naive Set Theory
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Real Analysis
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Rational Points on Elliptic Curves
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Applied Linear Algebra
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Mathematics and Its History
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A First Course in Differential Equations
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Second Year Calculus
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Linear Algebra
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A First Course in Real Analysis
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Real Mathematical Analysis
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Introduction to Coding and Information Theory
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Calculus I
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Ordinary Differential Equations
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Complex Analysis
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Introduction to Linear Algebra
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Groups and Symmetry
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Ideals, Varieties, and Algorithms
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Real Analysis via Sequences and Series
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Modular Functions and Dirichlet Series in Number Theory
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A Combinatorics and Graph Theory
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Elementary Probability Theory
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The Art of Proof
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An Introduction to Mathematical Cryptography
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The Mathematics of Nonlinear Programming
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Geometry: Euclid and Beyond
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Introduction to Partial Differential Equations
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A Concrete Introduction to Higher Algebra
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The Pleasures of Probability
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Topics in the Theory of Numbers
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The Four Pillars of Geometry
From the reviews: KA. Ross Elementary Analysis The Theory of Calculus "This book is intended for the student who has a good, but naive, understanding of elementary calculus and now wishes to gain a thorough understanding of a few basic concepts in analysis, such as continuity, convergence of sequences and series of numbers, and convergence of sequences and series of functions. There are many nontrivial examples and exercises, which illuminate and extend the material. The author has tried to write in an informal but precise style, stressing motivation and methods of proof, and, in this reviewer's opinion, has succeeded admirably."-MATHEMATICAL REVIEWS "This book occupies a niche between a calculus course and a full-blown real analysis course. ... I think the book should be viewed as a text for a bridge or transition course that happens to be about analysis ... . Lots of counterexamples. Most calculus books get the proof of the chain rule wrong, and Ross not only gives a correct proof but gives an example where the common mis-proof fails." (Allen Stenger, The Mathematical Association of America, June, 2008)
| SKU | Unavailable |
| ISBN 13 | 9780387904597 |
| ISBN 10 | 038790459X |
| Title | Elementary Analysis |
| Author | Kenneth Allen Ross |
| Series | Undergraduate Texts In Mathematics |
| Condition | Unavailable |
| Binding Type | Hardback |
| Publisher | Springer-Verlag New York Inc. |
| Year published | 1980-03-03 |
| Number of pages | 272 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |