A01=Steven Krantz
advanced calculus exercises
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Analysis
Author_Steven Krantz
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Bolzano Weierstrass Theorem
Cantor Set
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Cauchy Sequence
Closed Interval
Compact Set
Continuous Function
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Differentiable Functions
Dirichlet Function
Entire Real Line
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Integral
introductory analysis for STEM students
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Logic
Logically Equivalent
mathematical rigor
Modus Ponendo Ponens
Natural Numbers
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Pairwise Disjoint
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Proof
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Rational
Real Analytic Function
Real Numbers
Riemann Integrable
Riemann Integrable Function
Riemann Sum
sequence convergence
Sets
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Steven G. Krantz
topology concepts
transcendental functions
Truth Table
undergraduate mathematics
Weierstrass Approximation Theorem
Weierstrass's Theorem
Weierstrass’s Theorem
Product details
- ISBN 9781138064065
- Weight: 542g
- Dimensions: 156 x 234mm
- Publication Date: 06 Nov 2017
- Publisher: Taylor & Francis Ltd
- Publication City/Country: GB
- Product Form: Paperback
- Language: English
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Transition to Real Analysis with Proof provides undergraduate students with an introduction to analysis including an introduction to proof. The text combines the topics covered in a transition course to lead into a first course on analysis. This combined approach allows instructors to teach a single course where two were offered.
The text opens with an introduction to basic logic and set theory, setting students up to succeed in the study of analysis. Each section is followed by graduated exercises that both guide and challenge students. The author includes examples and illustrations that appeal to the visual side of analysis. The accessible structure of the book makes it an ideal refence for later years of study or professional work.
- Combines the author’s previous works Elements of Advanced Mathematics with Foundations of Analysis
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- Combines logic, set theory and other elements with a one-semester introduction to analysis.
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- Author is a well-known mathematics educator and researcher
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- Targets a trend to combine two courses into one
Steven G. Krantz is a professor at Washington University in St. Louis where he teaches mathematics. He received his Ph.D. from Princeton University and since then has taught at UCLA, Princeton University, and Pennsylvania State University. Dr. Krantz has written over 175 scholarly papers and more than 65 books. He is the founding editor of the Journal of Geometric Analysis. He was named a fellow of the American Mathematical Society and has received the Chauvenet Prize, Beckenbach Book Award, and Kemper Prize.
