"Introductory Analysis, Second Edition" is intended for the standard course on calculus limit theories that is taken after a problem solving first course in calculus (most often by junior/senior mathematics majors). Topics studied include sequences, function limits, derivatives, integrals, series, metric spaces, and calculus in n-dimensional Euclidean space. It bases most of the various limit concepts on sequential limits, which is done first. It defines function limits by first developing the notion of continuity (with a sequential limit characterization). It contains a thorough development of the Riemann integral, improper integrals (including sections on the gamma function and the Laplace transform), and the Stieltjes integral. It presents general metric space topology in juxtaposition with Euclidean spaces to ease the transition from the concrete setting to the abstract. Containing new exercises throughout, it provides a simple definition of subsequence. It has more information on function limits and L'Hospital's Rule. It provides clearer proofs about rational numbers and the integrals of Riemann and Stieltjes, and presents an appendix lists of all mathematicians named in the text. It also gives a glossary of symbols.

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**Book Description **Elsevier Science Publishing Co Inc, United States, 2000. Hardback. Book Condition: New. 2nd Revised edition. 237 x 160 mm. Language: English . Brand New Book. Introductory Analysis, Second Edition is intended for the standard course on calculus limit theories that is taken after a problem solving first course in calculus (most often by junior/senior mathematics majors). Topics studied include sequences, function limits, derivatives, integrals, series, metric spaces, and calculus in n-dimensional Euclidean space. It bases most of the various limit concepts on sequential limits, which is done first. It defines function limits by first developing the notion of continuity (with a sequential limit characterization). It contains a thorough development of the Riemann integral, improper integrals (including sections on the gamma function and the Laplace transform), and the Stieltjes integral. It presents general metric space topology in juxtaposition with Euclidean spaces to ease the transition from the concrete setting to the abstract. Containing new exercises throughout, it provides a simple definition of subsequence. It has more information on function limits and L Hospital s Rule. It provides clearer proofs about rational numbers and the integrals of Riemann and Stieltjes, and presents an appendix lists of all mathematicians named in the text. It also gives a glossary of symbols. Bookseller Inventory # AA59780122676550

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**Book Description **Academic Press. Hardcover. Book Condition: New. 0122676556 New. Looks like an interesting title! We provide domestic tracking upon request, provide personalized customer service and want you to have a great experience purchasing from us. 100% satisfaction guaranteed and thank you for your consideration. Bookseller Inventory # M-0122676556

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**Book Description **Elsevier Science Publishing Co Inc, United States, 2000. Hardback. Book Condition: New. 2nd Revised edition. 237 x 160 mm. Language: English . Brand New Book. Introductory Analysis, Second Edition is intended for the standard course on calculus limit theories that is taken after a problem solving first course in calculus (most often by junior/senior mathematics majors). Topics studied include sequences, function limits, derivatives, integrals, series, metric spaces, and calculus in n-dimensional Euclidean space. It bases most of the various limit concepts on sequential limits, which is done first. It defines function limits by first developing the notion of continuity (with a sequential limit characterization). It contains a thorough development of the Riemann integral, improper integrals (including sections on the gamma function and the Laplace transform), and the Stieltjes integral. It presents general metric space topology in juxtaposition with Euclidean spaces to ease the transition from the concrete setting to the abstract. Containing new exercises throughout, it provides a simple definition of subsequence. It has more information on function limits and L Hospital s Rule. It provides clearer proofs about rational numbers and the integrals of Riemann and Stieltjes, and presents an appendix lists of all mathematicians named in the text. It also gives a glossary of symbols. Bookseller Inventory # AA59780122676550

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**Book Description **Academic Press, 2000. Book Condition: New. Brand New, Unread Copy in Perfect Condition. A+ Customer Service! Summary: Introduction: Mathematical Statements and Proofs. Ordering of the Real Numbers. Sequence Limits. Completeness of the Real Numbers. Continuous Functions. Consequences of Continuity. The Derivative. The Riemann Integral. Improper Integrals. Infinite Series. The Riemann-Stieltjes Integral. Function Sequences. Power Series. Metric Spaces and Euclidean Spaces. Continuous Transformations. Differential Calculus in Euclidean Spaces. Area and Integration in E[2]. Appendix A. Mathematical Induction. Appendix B. Countable and Uncountable Sets. Appendix C. Infinite Products. Bookseller Inventory # ABE_book_new_0122676556

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**Book Description **Academic Press, 2000. Hardback. Book Condition: NEW. 9780122676550 335pp., Hardback, This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. Bookseller Inventory # HTANDREE0891276

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**Book Description **Academic Pr, 2000. Hardcover. Book Condition: Brand New. 2nd sub edition. 335 pages. 9.50x6.25x1.00 inches. In Stock. Bookseller Inventory # __0122676556

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**Book Description **Academic Press, 2000. Hardcover. Book Condition: New. book. Bookseller Inventory # 0122676556

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