Advanced Calculus (Pure and Applied Undergraduate Texts)

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9780821847916: Advanced Calculus (Pure and Applied Undergraduate Texts)
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Book by Patrick M Fitzpatrick

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Advanced Calculus is intended as a text for courses that furnish the backbone of the student's undergraduate education in mathematical analysis. The goal is to rigorously present the fundamental concepts within the context of illuminating examples and stimulating exercises. This book is self-contained and starts with the creation of basic tools using the completeness axiom. The continuity, differentiability, integrability, and power series representation properties of functions of a single variable are established. The next few chapters describe the topological and metric properties of Euclidean space. These are the basis of a rigorous treatment of differential calculus (including the Implicit Function Theorem and Lagrange Multipliers) for mappings between Euclidean spaces and integration for functions of several real variables. Special attention has been paid to the motivation for proofs. Selected topics, such as the Picard Existence Theorem for differential equations, have been included in such a way that selections may be made while preserving a fluid presentation of the essential material. Supplemented with numerous exercises, ""Advanced Calculus"" is a perfect book for undergraduate students of analysis.

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9780534376031: Advanced Calculus

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ISBN 10:  0534376037 ISBN 13:  9780534376031
Editorial: Brooks/Cole, 2005
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Descripción American Mathematical Society. Hardcover. Condición: New. 0821847910 Paperback. Book Condition: New. This is an International Edition. Brand new. Nº de ref. del artículo: INDMKT-9780821852095

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Descripción Paperback. Condición: NEW. This is an International Edition. Brand New Paperback- Same Title Author and Edition as listed. ISBN and Cover design differs. Similar Contents as U.S Edition. Delivery within 3-7 business days ACROSS THE GLOBE. We can ship to PO Box address in US. International Edition Textbooks may bear a label "Not for sale in the U.S. or Canada" or "For sale in Asia only" or similar restrictions- printed only to discourage students from obtaining an affordable copy. US Court has asserted your right to buy and use International edition. Access code/CD may not provided with these editions. We may ship the books from multiple warehouses across the globe including Asia depending upon the availability of inventory. Printed in English. Customer satisfaction guaranteed. Choose expedited shipping for Express delivery. Tracking number provided for every order. Nº de ref. del artículo: UB_9780821852095

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Descripción Paperback. Condición: NEW. This is an International Edition. Brand New, Paperback, Delivery within 6-14 business days, Similar Contents as U.S Edition, ISBN and Cover design may differ, printed in Black & White. Choose Expedited shipping for delivery within 3-8 business days. We do not ship to PO Box, APO , FPO Address. In some instances, subjects such as Management, Accounting, Finance may have different end chapter case studies and exercises. International Edition Textbooks may bear a label ""Not for sale in the U.S. or Canada"" and ""Content may different from U.S. Edition"" - printed only to discourage U.S. students from obtaining an affordable copy. The U.S. Supreme Court has asserted your right to purchase international editions, and ruled on this issue. Access code/CD is not provided with these editions , unless specified. We may ship the books from multiple warehouses across the globe, including India depending upon the availability of inventory storage. Customer satisfaction guaranteed. Nº de ref. del artículo: AU_9780821852095

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Descripción Paperback. Condición: NEW. This is an International Edition Brand New Paperback Same Title Author and Edition as listed. ISBN and Cover design differs. Similar Contents as U.S Edition. Standard Delivery within 6-14 business days ACROSS THE GLOBE. We can ship to PO Box address in US. International Edition Textbooks may bear a label "Not for sale in the U.S. or Canada" or "For sale in Asia only" or similar restrictions- printed only to discourage students from obtaining an affordable copy. US Court has asserted your right to buy and use International edition. Access code/CD may not provided with these editions. We may ship the books from multiple warehouses across the globe including Asia depending upon the availability of inventory. Printed in English. Customer satisfaction guaranteed. Nº de ref. del artículo: U_9780821852095

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Descripción International Edition. Paperback. Condición: New. International Edition. Very fast shipping. Receive your book in 2-7 business days if you checkout with expedited shipping. We take pride in our customer service, please contact us if you have any questions regarding the listing. Nº de ref. del artículo: in-us-9780821847916

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Patrick M. Fitzpatrick
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Descripción American Mathematical Society, United States, 2009. Hardback. Condición: New. Second Edition. Language: English . Brand New Book. Advanced Calculus is intended as a text for courses that furnish the backbone of the student s undergraduate education in mathematical analysis. The goal is to rigorously present the fundamental concepts within the context of illuminating examples and stimulating exercises. This book is self-contained and starts with the creation of basic tools using the completeness axiom. The continuity, differentiability, integrability, and power series representation properties of functions of a single variable are established. The next few chapters describe the topological and metric properties of Euclidean space. These are the basis of a rigorous treatment of differential calculus (including the Implicit Function Theorem and Lagrange Multipliers) for mappings between Euclidean spaces and integration for functions of several real variables. Special attention has been paid to the motivation for proofs. Selected topics, such as the Picard Existence Theorem for differential equations, have been included in such a way that selections may be made while preserving a fluid presentation of the essential material. Supplemented with numerous exercises, Advanced Calculus is a perfect book for undergraduate students of analysis. Nº de ref. del artículo: AAN9780821847916

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