Basic analysis II : a modern calculus in many variables / James K. Peterson.
By: Peterson, James K. (James Kent) [author.]
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Material type: 
BookPublisher: Boca Raton : Chapman & Hall/CRC, 2020Description: 1 online resource (1 volume) : illustrations (black and white).Content type: text Media type: computer Carrier type: online resourceISBN: 9781315166216; 1315166216; 9781351679336; 1351679333; 9781351679312; 1351679317; 9781351679329; 1351679325.Subject(s): Functions of several real variables | MATHEMATICS / Functional Analysis | MATHEMATICS / AppliedDDC classification: 515.84 Online resources: Taylor & Francis | OCLC metadata license agreement Summary: Basic Analysis II: A Modern Calculus in Many Variables focuses on differentiation in Rn and important concepts about mappings from Rn to Rm, such as the inverse and implicit function theorem and change of variable formulae for multidimensional integration. These topics converge nicely with many other important applied and theoretical areas which are no longer covered in mathematical science curricula. Although it follows on from the preceding volume, this is a self-contained book, accessible to undergraduates with a minimal grounding in analysis. Features Can be used as a traditional textbook as well as for self-study Suitable for undergraduates in mathematics and associated disciplines Emphasises learning how to understand the consequences of assumptions using a variety of tools to provide the proofs of propositions
Basic Analysis II: A Modern Calculus in Many Variables focuses on differentiation in Rn and important concepts about mappings from Rn to Rm, such as the inverse and implicit function theorem and change of variable formulae for multidimensional integration. These topics converge nicely with many other important applied and theoretical areas which are no longer covered in mathematical science curricula. Although it follows on from the preceding volume, this is a self-contained book, accessible to undergraduates with a minimal grounding in analysis. Features Can be used as a traditional textbook as well as for self-study Suitable for undergraduates in mathematics and associated disciplines Emphasises learning how to understand the consequences of assumptions using a variety of tools to provide the proofs of propositions
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