Main books:

cover to cover goal:
An Introduction to Analysis 3rd Edition
by William R. Wade

cover as much as possible:
Principles of Mathematical Analysis Paperback – January 1, 2013
Rudin

Used in courses:

Baby Real Analysis:
Introduction to Real Analysis, 3rd Edition 3rd Edition
by Robert G. Bartle, Donald R. Sherbert

Rudin-like
Elementary Analysis: The Theory of Calculus (Undergraduate Texts in Mathematics) 2nd ed. 2013 Edition
by Kenneth A. Ross

Other books:

The Dickens Novel of Real Analysis:
Elementary Real Analysis: Second Edition (2008) 2nd Edition
by Brian S. Thomson, Judith B. Bruckner, Andrew M. Bruckner

A First Course in Real Analysis (Undergraduate Texts in Mathematics) 2nd Edition
by Murray H. Protter, Charles B. Jr. Morrey

Terence Tao - Analysis I + Analysis II (Texts and Readings in Mathematics 37 & 38) (3rd Edition CORRECTED REPRINT) || Terence TAO COMBO (Set of 2 Books) Hardcover

Calculus:

Calculus and Analytic Geometry Sixth Edition Thomas/finney Hardcover – January 1, 1986
by George B. Thomas Jr., Ross L. Finney

Calculus, 4th edition fourth Edition
by Michael Spivak

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I went on to spend some time on real and complex analysis, in these playlists:
Real Analysis Bartle and Sherbert
[ Ссылка ]
Real Analysis Thomson Bruckner Bruckner (TBB)
[ Ссылка ]
Wade Intro to Analysis
[ Ссылка ]
Complex Analysis Saff and Snider
[ Ссылка ]
Mendelson Number Systems for Analysis
[ Ссылка ]
Walter Rudin Mathematical Analysis
[ Ссылка ]

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