Articoli correlati a From Counting to Continuum: What Are Real Numbers,...
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Understanding the natural numbers, which we use to count things, comes naturally. Meanwhile, the real numbers, which include a wide range of numbers from whole numbers to fractions to exotic ones like p, are, frankly, really difficult to describe rigorously. Instead of waiting to take a theorem-proof graduate course to appreciate the real numbers, readers new to university-level mathematics can explore the core ideas behind the construction of the real numbers in this friendly introduction. Beginning with the intuitive notion of counting, the book progresses step-by-step to the real numbers. Each sort of number is defined in terms of a simpler kind by developing an equivalence relation on a previous idea. We find the finite sets' equivalence classes are the natural numbers. Integers are equivalence classes of pairs of natural numbers. Modular numbers are equivalence classes of integers. And so forth. Exercises and their solutions are included.
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From Counting to Continuum
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Cambridge University Press, 2024
ISBN 10: 1009538675
ISBN 13: 9781009538671
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From Counting to Continuum: What Are Real Numbers, Really?
Editore:
Cambridge University Press, 2024
ISBN 10: 1009538675
ISBN 13: 9781009538671
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Paperback. Condizione: Good. Whole numbers, fractions, decimals: we frequently use them, but what are they exactly? How about exotic numbers like the square root of 2 or ?? You don't need to be a graduate student to explore the core ideas behind the construction of the real numbers: just read this book. Codice articolo 00104549871
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From Counting to Continuum: What Are Real Numbers, Really?
Editore:
Cambridge University Press, 2024
ISBN 10: 1009538675
ISBN 13: 9781009538671
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Da: World of Books Inc, Montgomery, IL, U.S.A.
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Paperback. Condizione: Good. Whole numbers, fractions, decimals: we frequently use them, but what are they exactly? How about exotic numbers like the square root of 2 or ?? You don't need to be a graduate student to explore the core ideas behind the construction of the real numbers: just read this book. Codice articolo CIN1009538675G
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From Counting to Continuum : What Are Real Numbers, Really?
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From Counting to Continuum (Paperback or Softback)
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From Counting to Continuum : What Are Real Numbers, Really?
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ISBN 13: 9781009538671
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From Counting to Continuum
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Paperback. Condizione: New. Understanding the natural numbers, which we use to count things, comes naturally. Meanwhile, the real numbers, which include a wide range of numbers from whole numbers to fractions to exotic ones like ?, are, frankly, really difficult to describe rigorously. Instead of waiting to take a theorem-proof graduate course to appreciate the real numbers, readers new to university-level mathematics can explore the core ideas behind the construction of the real numbers in this friendly introduction. Beginning with the intuitive notion of counting, the book progresses step-by-step to the real numbers. Each sort of number is defined in terms of a simpler kind by developing an equivalence relation on a previous idea. We find the finite sets' equivalence classes are the natural numbers. Integers are equivalence classes of pairs of natural numbers. Modular numbers are equivalence classes of integers. And so forth. Exercises and their solutions are included. Codice articolo LU-9781009538671
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From Counting to Continuum
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ISBN 13: 9781009538671
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Paperback. Condizione: New. Understanding the natural numbers, which we use to count things, comes naturally. Meanwhile, the real numbers, which include a wide range of numbers from whole numbers to fractions to exotic ones like ?, are, frankly, really difficult to describe rigorously. Instead of waiting to take a theorem-proof graduate course to appreciate the real numbers, readers new to university-level mathematics can explore the core ideas behind the construction of the real numbers in this friendly introduction. Beginning with the intuitive notion of counting, the book progresses step-by-step to the real numbers. Each sort of number is defined in terms of a simpler kind by developing an equivalence relation on a previous idea. We find the finite sets' equivalence classes are the natural numbers. Integers are equivalence classes of pairs of natural numbers. Modular numbers are equivalence classes of integers. And so forth. Exercises and their solutions are included. Codice articolo LU-9781009538671
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From Counting to Continuum
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From Counting to Continuum: What Are Real Numbers, Really?
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