menu
{ "item_title" : "Real Analysis", "item_author" : [" René Erlín Castillo", "Julio César Ramos-Fernández", "Edixon Manuel Rojas Santana "], "item_description" : "Real analysis lies at the core of modern mathematics, yet many students struggle with the transition from computational calculus to rigorous proof-based thinking. This book offers a systematic development of convergence and integration, treating sequences, series, sequences of functions, and integrals within a unified conceptual framework. The exposition begins with numerical sequences and series, proceeds through the Riemann and improper Riemann integrals, and then introduces the Stieltjes and Lebesgue integrals together with the necessary measure-theoretic foundations. Detailed proofs, explicit discussion of proof strategies, and carefully chosen counterexamples reveal the logical structure of the subject and motivate the extension from classical to modern integration. With 165 worked examples and 547 exercises, the text is ideal for advanced undergraduates and beginning graduate students in mathematics, statistics, and related fields who require a rigorous yet accessible pathway from calculus to contemporary real analysis.", "item_img_path" : "https://covers3.booksamillion.com/covers/bam/3/11/225/828/3112258282_b.jpg", "price_data" : { "retail_price" : "98.99", "online_price" : "98.99", "our_price" : "98.99", "club_price" : "98.99", "savings_pct" : "0", "savings_amt" : "0.00", "club_savings_pct" : "0", "club_savings_amt" : "0.00", "discount_pct" : "10", "store_price" : "" } }
Real Analysis|René Erlín Castillo

Real Analysis : Sequences, Series and Integrals

PRE-ORDER NOW:
local_shippingShip to Me
Preorder. This item will be available on October 5, 2026 .
FREE Shipping for Club Members help

Overview

Real analysis lies at the core of modern mathematics, yet many students struggle with the transition from computational calculus to rigorous proof-based thinking.

This book offers a systematic development of convergence and integration, treating sequences, series, sequences of functions, and integrals within a unified conceptual framework. The exposition begins with numerical sequences and series, proceeds through the Riemann and improper Riemann integrals, and then introduces the Stieltjes and Lebesgue integrals together with the necessary measure-theoretic foundations. Detailed proofs, explicit discussion of proof strategies, and carefully chosen counterexamples reveal the logical structure of the subject and motivate the extension from classical to modern integration.

With 165 worked examples and 547 exercises, the text is ideal for advanced undergraduates and beginning graduate students in mathematics, statistics, and related fields who require a rigorous yet accessible pathway from calculus to contemporary real analysis.

Details

  • ISBN-13: 9783112258286
  • ISBN-10: 3112258282
  • Publisher: de Gruyter
  • Publish Date: October 2026
  • Page Count: 468

Related Categories

You May Also Like...

    1

BAM Customer Reviews