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Real Analysis and Foundations - Steven G. Krantz - CRC Press, Hardcover Textbook
US $24,95
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“CRC Press, 1991, 0849371562, Hardcover without dust jacket, VG condition, no marks, no underlining, ”... Maggiori informazioniinformazioni sulla condizione
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Oggetto che si trova a: Norton, Massachusetts, Stati Uniti
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Numero oggetto eBay:363050762257
Specifiche dell'oggetto
- Condizione
- Ottime condizioni
- Note del venditore
- ISBN
- 9780849371561
Informazioni su questo prodotto
Product Identifiers
Publisher
CRC Press LLC
ISBN-10
0849371562
ISBN-13
9780849371561
eBay Product ID (ePID)
1042923
Product Key Features
Number of Pages
312 Pages
Publication Name
Real Analysis and Foundations
Language
English
Publication Year
1991
Subject
Construction / General, Functional Analysis, Mathematical Analysis
Type
Textbook
Subject Area
Mathematics, Technology & Engineering
Series
Textbooks in Mathematics Ser.
Format
Hardcover
Dimensions
Item Weight
21.5 Oz
Item Length
9.2 in
Item Width
6.1 in
Additional Product Features
Edition Number
1
Intended Audience
College Audience
LCCN
91-026891
Dewey Edition
20
Illustrated
Yes
Dewey Decimal
515/.8
Table Of Content
LOGIC AND SET THEORY. Introduction. "And" and "Or". "Not" and "If-Then". Contrapositive, Converse, and "Iff". Quantifiers. Set Theory and Venn Diagrams. Relations and Functions. Countable and Uncountable Sets. NUMBER SYSTEMS. The Natural Numbers. Equivalence Relations and Equivalence Classes. The Integers. The Rational Numbers. The Real Numbers. The Complex Numbers. SEQUENCES. Convergence of Sequences. Subsequences. Lim sup and Lim inf. Some Special Sequences. SERIES OF NUMBERS. Convergence of Series. Elementary Convergence Tests. Advanced Convergence Tests. Some Special Series. Operations on Series. BASIC TOPOLOGY. Open and Closed Sets. Further Properties of Open and Closed Sets. Compact Sets. The Cantor Set. Connected and Disconnected Sets. Perfect Sets. LIMITS AND CONTINUITY OF FUNCTIONS. Basic Properties of the Limit of a Function. Continuous Functions. Topological Properties and Continuity. Classifying Discontinuities and Monotonicity. DIFFERENTIATION OF FUNCTIONS. The Concept of Derivative. The Mean Value Theorem and Applications. More on the Theory of Differentiation. THE INTEGRAL. Partitions and the Concept of Integral. Properties of the Riemann Integral. Another Look at the Integral. Advanced Results on Integration Theory. SEQUENCES AND SERIES OF FUNCTIONS. Partial Sums and Pointwise Convergence. More on Uniform Convergence. Series of Functions. The Weirstrass Approximation Theorem. SPECIAL FUNCTIONS. Power Series. More on Power Series. Convergence Issues. The Exponential and Trigonometric Functions. Logarithms and Powers of Real Numbers. The Gamma Function and Stirling's Formula. An Introduction to Fourier Series. FUNCTIONS OF SEVERAL VARIABLES. Review of Linear Algebra. A New Look at the Basic Concepts of Analysis. Properties of the Derivative. The Inverse and Implicit Function Theorems. ADVANCED TOPICS. Metric Spaces. Topology in a Metric Space. The Baire Category Theorem. The Ascoli-Arzela Theorem.
Synopsis
Real Analysis and Foundations is an advanced undergraduate and first-year graduate textbook that introduces students to introductory topics in real analysis (or real variables), point set topology, and the calculus of variations. This classroom-tested book features over 350 end-of-chapter exercises that clearly develop and reinforce conceptual topics. It also provides an excellent review chapter on math foundations topics, as well as accessible coverage of classical topics, such as Weirstrass Approximation Theorem, Ascoli-Arzela Theorem and Schroeder-Bernstein Theorem. Explanations and discussions of key concepts are so well done that Real Analysis and Foundations will also provide valuable information for professional aerospace and structural engineers.
LC Classification Number
QA331.5.K713 1991
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