Synopsis
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.
"synopsis" may belong to another edition of this title.
About the Author
Patrick M. Fitzpatrick is Professor and Chair of Mathematics at the University of Maryland, College Park.
"About this title" may belong to another edition of this title.
Other Popular Editions of the Same Title
Search results for Advanced Calculus (Pure and Applied Undergraduate Texts:...
Seller Image
Advanced Calculus (Pure and Applied Undergraduate Texts: The Sally Series) (Pure and Applied Undergraduate Texts: The Sally Series, 5)
Published by
American Mathematical Society, 2009
ISBN 10: 0821847910
ISBN 13: 9780821847916
Used
Hardcover
Seller: Goodwill of Colorado, COLORADO SPRINGS, CO, U.S.A.
Seller rating 5 out of 5 stars
Condition: acceptable. This item is in overall acceptable condition. Covers and dust jackets are intact but may have heavy wear including creases, bends, edge wear, curled corners or minor tears as well as stickers or sticker-residue. Pages are intact but may have minor curls, bends or moderate to considerable highlighting writing. Binding is intact; however, spine may have heavy wear. Digital codes may not be included and have not been tested to be redeemable and or active. A well-read copy overall. Please note that all items are donated goods and are in used condition. Orders shipped Monday through Friday! Your purchase helps put people to work and learn life skills to reach their full potential. Orders shipped Monday through Friday. Your purchase helps put people to work and learn life skills to reach their full potential. Thank you! Seller Inventory # 466TY8001YHZ
Stock Image
Advanced Calculus (Pure and Applied Undergraduate Texts: The Sally Series)
Published by
American Mathematical Society, 2009
ISBN 10: 0821847910
ISBN 13: 9780821847916
Used
Hardcover
Seller: HPB-Red, Dallas, TX, U.S.A.
Seller rating 5 out of 5 stars
Hardcover. Condition: Acceptable. Connecting readers with great books since 1972. Used textbooks may not include companion materials such as access codes, etc. May have condition issues including wear and notes/highlighting. We ship orders daily and Customer Service is our top priority! Seller Inventory # S_439481578
Stock Image
Advanced Calculus (Pure and Applied Undergraduate Texts: The Sally Series)
Published by
American Mathematical Society, 2009
ISBN 10: 0821847910
ISBN 13: 9780821847916
Used
Hardcover
Seller: World of Books (was SecondSale), Montgomery, IL, U.S.A.
Seller rating 5 out of 5 stars
Condition: Good. Item in good condition. Textbooks may not include supplemental items i.e. CDs, access codes etc. Seller Inventory # 00094395268
Stock Image
Advanced Calculus (Pure and Applied Undergraduate Texts: The Sally Series)
Published by
American Mathematical Society, 2009
ISBN 10: 0821847910
ISBN 13: 9780821847916
Used
Hardcover
Seller: World of Books (was SecondSale), Montgomery, IL, U.S.A.
Seller rating 5 out of 5 stars
Condition: Good. Item in good condition and has highlighting/writing on text. Used texts may not contain supplemental items such as CDs, info-trac etc. Seller Inventory # 00093303458
Stock Image
Advanced Calculus (Revised)
Published by
American Mathematical Society(RI) January 2009, 2009
ISBN 10: 0821847910
ISBN 13: 9780821847916
Used
Hardcover
Seller: Eagle Eye Books, Decatur, GA, U.S.A.
Seller rating 4 out of 5 stars
Hardcover. Condition: Used. Seller Inventory # 858080
Seller Image
Advanced Calculus
Published by
American Mathematical Soc., 2009
ISBN 10: 0821847910
ISBN 13: 9780821847916
Used
Hardcover
Seller: College Textbook, Tulsa, OK, U.S.A.
Seller rating 1 out of 5 stars
Condition: Good. 2nd Edition. This is the 2nd Edition of 'Advanced Calculus' by Patrick Fitzpatrick, an essential text for undergraduate courses in mathematical analysis. Published by the American Mathematical Society, this book rigorously presents fundamental concepts through clear examples and exercises, covering topics from single-variable calculus to differential calculus in Euclidean spaces. This specific copy is in good condition, featuring clean, unmarked pages and a tight binding, making it an excellent resource for students and professionals. It is a self-contained text, perfect for building a strong foundation in analysis. Seller Inventory # EDUBOOK142
Stock Image
Advanced Calculus (Pure and Applied Undergraduate Texts: The Sally Series) (Pure and Applied Undergraduate Texts: The Sally Series, 5)
Published by
American Mathematical Society, 2009
ISBN 10: 0821847910
ISBN 13: 9780821847916
Used
Hardcover
Seller: Textbooks_Source, Columbia, MO, U.S.A.
Seller rating 5 out of 5 stars
hardcover. Condition: Good. 2nd Revised edition. Ships in a BOX from Central Missouri! May not include working access code. Will not include dust jacket. Has used sticker(s) and some writing or highlighting. UPS shipping for most packages, (Priority Mail for AK/HI/APO/PO Boxes). Seller Inventory # 000661582U
Seller Image
Advanced Calculus
Published by
American Mathematical Society, 2009
ISBN 10: 0821847910
ISBN 13: 9780821847916
Used
Hardcover
Seller: GreatBookPrices, Columbia, MD, U.S.A.
Seller rating 5 out of 5 stars
Condition: good. May show signs of wear, highlighting, writing, and previous use. This item may be a former library book with typical markings. No guarantee on products that contain supplements Your satisfaction is 100% guaranteed. Twenty-five year bookseller with shipments to over fifty million happy customers. Seller Inventory # 6217248-5
Stock Image
Advanced Calculus (Pure and Applied Undergraduate Texts: The Sally Series) (Pure and Applied Undergraduate Texts: The Sally Series, 5)
Published by
American Mathematical Society, 2009
ISBN 10: 0821847910
ISBN 13: 9780821847916
New
Hardcover
Seller: Textbooks_Source, Columbia, MO, U.S.A.
Seller rating 5 out of 5 stars
hardcover. Condition: New. 2nd Revised edition. Ships in a BOX from Central Missouri! UPS shipping for most packages, (Priority Mail for AK/HI/APO/PO Boxes). Seller Inventory # 000661582N
Seller Image
Advanced Calculus
Published by
American Mathematical Society, 2009
ISBN 10: 0821847910
ISBN 13: 9780821847916
Used
Hardcover
Seller: GreatBookPricesUK, Woodford Green, United Kingdom
Seller rating 5 out of 5 stars
Condition: good. May show signs of wear, highlighting, writing, and previous use. This item may be a former library book with typical markings. No guarantee on products that contain supplements Your satisfaction is 100% guaranteed. Twenty-five year bookseller with shipments to over fifty million happy customers. Seller Inventory # 6217248-5
Buy Used
US$ 76.80
Shipping:
US$ 19.58
From United Kingdom to U.S.A.
Quantity: 2 available