Top 9 Real Numbers Books

Joshua Johnson
9 min readSep 5, 2024

Get ready to immerse yourself in the world of mathematics with Real Numbers Books, a captivating collection of literature that explores the fascinating realm of real numbers. From fundamental concepts to advanced theories, this roundup offers a diverse selection of books that delve into the beauty and importance of real numbers in our daily lives. Whether you're a seasoned math enthusiast or a curious beginner, prepare to embark on a journey of intellectual discovery with this must-read selection.

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1. Exploring the Real Numbers

Exploring the Real Numbers | Image

Unravel the mysteries of the real number system with Frederick W. Stevenson's groundbreaking book, "Exploring the Real Numbers. " Delving into the historical journey and the nature of real numbers, Stevenson illuminates the beauty of mathematics through engaging explorations and over 21 thought-provoking projects.

This 392-page masterpiece includes abundant examples and exercises for readers to truly grasp the concepts, making it a must-read for anyone seeking a deep understanding of this fascinating subject. Don't miss your chance to explore the world of real numbers with this comprehensive and engaging guide.

  • Authors: Frederick W. Stevenson
  • Published Date: March 30, 2000
  • Page Count: 392
  • Print Type: BOOK
  • Categories: Numbers, Real
  • Maturity Rating: NOT\_MATURE
  • Language: en

2. The Real Numbers and Real Analysis

The Real Numbers and Real Analysis | Image

"The Real Numbers and Real Analysis" is a comprehensive, meticulously-written introduction to the captivating world of real analysis. Authored by Ethan D. Bloch, the book offers readers a deep understanding of the core fundamentals, eloquently presented within the context of clear exposition, meticulous definitions, and well-structured theorems and proofs.

Designed to cater to both mathematics major students and prospective mathematics teachers, this textbook serves as a highly effective one-semester resource for the undergraduate curriculum. Focusing on the foundational elements of the real number system, its exploration reaches far beyond fundamental calculus, providing an unparalleled in-depth view of the intricacies of calculus.

As a publication of Springer Science & Business Media, the book boasts a rigorous structure, delivering a robust understanding of the real number system. It is a must-read for anyone seeking a thorough understanding, whether delving into the depths of mathematics or preparing for a career in mathematics education.

  • Authors: Ethan D. Bloch
  • Publisher: Springer Science & Business Media
  • Published Date: May 14, 2011
  • Page Count: 554
  • Print Type: BOOK
  • Categories: Mathematics
  • Maturity Rating: NOT\_MATURE
  • Language: en

3. The Real Numbers and Real Analysis

The Real Numbers and Real Analysis | Image

"The Real Numbers and Real Analysis" offers a comprehensive, in-depth exploration of the subject, delving deep into the intricacies of real analysis. Crafted by esteemed mathematician Ethan D. Bloch, this textbook provides a balanced approach that appeals to both mathematics majors eager to deepen their knowledge and future mathematics teachers aiming for a deeper understanding of calculus theory.

Covering the fundamentals of real analysis with a clear, well-defined exposition, the book features well-structured theorems and proofs. Its flexible, distinctive organization sets it apart, making it an excellent one-semester text for undergraduate mathematics majors and mathematics education students. Despite an average rating of 3.0 with 2.0 ratings counted, "The Real Numbers and Real Analysis" remains a valuable resource for those interested in real analysis.

The textbook's comprehensiveness and insightful approach make it a solid choice for students and educators alike, serving as a strong foundation for in-depth explorations in the realm of mathematics.

  • Authors: Ethan D. Bloch
  • Publisher: Springer Science & Business Media
  • Published Date: May 27, 2011
  • Page Count: 577
  • Print Type: BOOK
  • Categories: Mathematics
  • Average Rating: 3.0
  • Ratings Count: 2.0
  • Maturity Rating: NOT\_MATURE
  • Language: en

4. A Dictionary of Real Numbers

A Dictionary of Real Numbers | Image

Dive into the fascinating world of special numbers and special function values with A Dictionary of Real Numbers by Jonathan Borwein. This comprehensive resource, structured like a reverse handbook, is a must-read for anyone tackling complex computations or seeking a deeper understanding of mathematics.

The book lists over 100,000 eight-digit real numbers in the interval [0,1), all of which are the first eight digits of special values of familiar functions. Each eight-digit number has a corresponding entry, providing the first eight digits after the decimal point and identifying its origin as a special function evaluation at an algebraic or simple transcendental value.

A Dictionary of Real Numbers is an invaluable tool for mathematicians and those curious about the deeper intricacies of number theory. With its concise format and expert insights from the author, this book offers an unparalleled resource for uncovering special patterns and connections in real numbers.

Don't miss out on this richly informative volume, which sheds light on the mysterious world of special numbers and the incredible story of Gauss's monumental insights into the nature of these intriguing entities. Whether you're a seasoned mathematician or simply someone intrigued by numbers, this book promises to captivate and inspire.

  • A reverse handbook-style resource listing over 100,000 eight-digit real numbers from the interval [0,1)
  • First eight digits after the decimal point for special values of familiar functions
  • Primarily covers special function evaluations at algebraic and simple transcendental values
  • Ideal for mathematicians, researchers, and anyone with a passion for exploring the intricacies of real numbers
  • Authors: Jonathan Borwein
  • Publisher: Springer Science & Business Media
  • Published Date: December 06, 2012
  • Page Count: 433
  • Print Type: BOOK
  • Categories: Mathematics
  • Average Rating: 4.5
  • Ratings Count: 2.0
  • Maturity Rating: NOT\_MATURE
  • Language: en

5. The Real Numbers

The Real Numbers | Image

An Introduction to Set Theory and Analysis

"The Real Numbers" is an inviting exploration into the heart of set theory and analysis, where the seemingly simple requirements of real numbers lead to profound discoveries. Written by renowned mathematician John Stillwell, this book offers a unique blend of set theory and real analysis, providing a thorough understanding of the real number system and its implications.

Perfect for senior undergraduates, this text also proves valuable to graduate students and professionals who have relied on the assumption of real numbers up to this point. Emphasizing the mathematical history, this book sheds light on how concepts of real numbers and infinity evolved to meet the demands of analysis since ancient times.

Covering classic topics from both set theory and real analysis courses, this 253-page masterpiece is filled with proofs, examples, exercises, and explanatory remarks to help readers grasp these complex concepts. With no average rating or reviews count provided, the text promises to deliver a satisfying and enlightening journey into the realm of real numbers and analysis.

  • Authors: John Stillwell
  • Publisher: Springer Science & Business Media
  • Published Date: October 16, 2013
  • Page Count: 253
  • Print Type: BOOK
  • Categories: Mathematics
  • Maturity Rating: NOT\_MATURE
  • Language: en

6. The Real Numbers

The Real Numbers | Image

An Introduction to Set Theory and Analysis

The Real Numbers: An Introduction to Set Theory and Analysis is an essential read for anyone wanting to delve deeper into the intricacies of the real number system and the complex issues it presents. Authored by renowned mathematician, John Stillwell, this comprehensive text provides an extensive exploration of the real number system's intricacy along with its critical relevance to analysis.

The text expertly merges the seemingly disparate worlds of set theory and analysis, highlighting set theory's essential role in the analysis of infinite processes on the real numbers. Suitable for senior undergraduates as well as captivating graduate students and professional mathematicians, this book assumes prerequisites of calculus and fundamental mathematics knowledge.

The Real Numbers is enriched with extensive mathematical history that provides insight into the evolution of the concepts of the real number and infinity to meet the demands of analysis throughout history. The historical narrative is strengthened with proofs, examples, exercises, and explanatory notes, which aid readers' understanding of the key concepts.

This resourceful book covers a vast array of topics spanning both set theory and real analysis. It incorporates countable sets, uncountable sets, countable ordinals, the continuum problem, the Cantor-Schröder-Bernstein theorem, continuous functions, uniform convergence, Zorn's lemma, Borel sets, Baire functions, Lebesgue measure, and Riemann-integrable functions.

Published by Springer in 2016, The Real Numbers is an indispensable tool for anyone aspiring to gain a profound understanding of set theory's complexities and its applications to the real number system, making it a must-have for any mathematics enthusiast's collection.

  • Authors: John Stillwell
  • Publisher: Springer
  • Published Date: August 23, 2016
  • Print Type: BOOK
  • Categories: Mathematics
  • Maturity Rating: NOT\_MATURE
  • Language: en

7. Real Numbers

Real Numbers | Image

Management Accounting in a Lean Organization

"Real Numbers" offers a compelling exploration of the interplay between management accounting and Lean principles, delving into the fascinating evolutions of these powerful practices. Co-authored by esteemed professionals Jean E. Cunningham and Orest J.

Fiume, this 200-page gem, published by Jcc Press in 2017, serves as a must-read for anyone within the realm of business and economics looking to gain a deeper understanding of how lean practices impact management accounting. Averaging 200 pages, this book is as much a concise guide as it is an engaging journey into the world of real-world numbers.

Join the authors as they unfold the intricate layers of these intertwined management methodologies, leading readers on a path of continuous improvement and value-addition.

  • Authors: Jean E. Cunningham, Orest J. Fiume
  • Publisher: Jcc Press
  • Published Date: September 30, 2017
  • Page Count: 200
  • Print Type: BOOK
  • Categories: Business & Economics
  • Maturity Rating: NOT\_MATURE
  • Language: en

8. Corrado

Corrado | Image

Corrado is a riveting mafia romance by author Bethany-Kris. Follow Corrado Guzzi, the son of a powerful Cosa Nostra Don, as he navigates the expectations of his life and the bonds of loyalty. However, when given the opportunity to break free from his traditional fate, he makes a decision that entangles him with Alessio Sorrento, a man who could alter everything for the young Guzzi.

Dive into the complex love story of Corrado and Ginevra Calabrese, surrounded by a world of rules, secrets, and uncertainties. Corrado and Alessio are the first two books in the Guzzi Legacy series.

Experience the emotional journey of love, family, and sacrifice in this thrilling series. Note: A must-read duet, and standalone titles are also available.

  • Authors: Bethany-Kris
  • Publisher: Bethany-Kris
  • Published Date: July 16, 2020
  • Page Count: 330
  • Print Type: BOOK
  • Categories: Fiction
  • Maturity Rating: MATURE
  • Language: en

9. Lectures on the Philosophy of Mathematics

Lectures on the Philosophy of Mathematics | Image

Join renowned mathematician and philosopher Joel David Hamkins on a captivating journey through the philosophical depths of mathematics. Lectures on the Philosophy of Mathematics invites you to explore the foundations of mathematical inquiry, as Hamkins delves into timeless questions and philosophical debates that arise in the course of mathematical practice.

From platonism and realism to set theory and proof, this intriguing book unravels the complex interplay between mathematics and philosophy. Prepared to embark on a thought-provoking journey that will challenge and enlighten your understanding of the universe?

Let's begin.

  • Authors: Joel David Hamkins
  • Publisher: MIT Press
  • Published Date: February 02, 2021
  • Page Count: 350
  • Print Type: BOOK
  • Categories: Mathematics
  • Maturity Rating: NOT\_MATURE
  • Language: en

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