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A First Course in Analysis

Authors

John B. Conway
, George Washington University, Washington DC
Published 2017

Description

This rigorous textbook is intended for a year-long analysis or advanced calculus course for advanced undergraduate or beginning graduate students. Starting with detailed, slow-paced proofs that allow students to acquire facility in reading and writing proofs, it clearly and concisely explains the basics of differentiation and integration of functions of one and several variables, and covers the theorems of Green, Gauss, and Stokes. Minimal prerequisites are assumed, and relevant linear algebra topics are reviewed right before they are needed, making…

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Key features

  • The book's rigor and succinctness is balanced with its accessibility and clear explanations
  • Provides insights on finding proofs in analysis that will be useful to the student
  • Reaches the multidimensional versions of the fundamental theorem of calculus

About the book

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