By John B. Conway

ISBN-10: 1107173140

ISBN-13: 9781107173149

This rigorous textbook is meant for a year-long research or complex calculus path for complicated undergraduate or starting graduate scholars. beginning with specified, slow-paced proofs that permit scholars to procure facility in studying and writing proofs, it truly and concisely explains the fundamentals of differentiation and integration of services of 1 and a number of other variables, and covers the theorems of eco-friendly, Gauss, and Stokes. minimum must haves are assumed, and suitable linear algebra subject matters are reviewed correct earlier than they're wanted, making the cloth obtainable to scholars from different backgrounds. summary issues are preceded by way of concrete examples to facilitate figuring out, for instance, earlier than introducing differential varieties, the textual content examines low-dimensional examples. The which means and significance of effects are completely mentioned, and various routines of various hassle supply scholars considerable chance to check and enhance their wisdom of this hard but very important subject.

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A First Course in Analysis (Cambridge Mathematical Textbooks) by John B. Conway

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