Greer Fitting / Melvin Fitting

19,83 €
IVA incluido
Recíbelo en 3 días
College Publications
Año de edición:
19,83 €
IVA incluido
Recíbelo en 3 días

Selecciona una librería:

The various number systems are usually taken for granted by most people, and rightly so.  But at least once in the career of every person seriously interested in mathematics, they should be looked at with a critical eye.  Why were they created, and why are their properties what they are?  Numbers is intended to be a readable but rigorous book that addresses these points.  Edmund Landau’s 1930 book Grundlagen der Analysis (Foundations of Analysis) is still in print, showing the continuing desire for such a book, but it is extraordinarily terse, and is famous for it.  It is a long string of definitions and theorems with no informal material at all.  We have tried to find a good mix of informality and formal development.  We spend much time on motivation, giving informal reasons why a formal development can proceed as it does.  Then and only then do we present the formal material.  Thus the reader learns not only the mechanism of the number systems, but also how formal mathematics gets created and thought about at a pre-formal level.The role of set theory and its relationship to the number systems is important, but in a book concentrating on numbers it is rather diversionary.  Some set theory is necessary, of course, but the principles needed are simple and straightforward.  We assume they are part of the reader's logical machinery and go on from there.  A few foundational issues are mentioned, but this is not a book on set theory.Common pencil-and-paper algorithms for arithmetical computation are discussed along the way.  They are, after all, among the great human creations and should be seen as such.The system of real numbers is often presented using Dedekind cuts or Cauchy sequences.  We have chosen an approach whose intuition is more familiar to most:  infinite decimals.  We develop them in a simple, yet rigorous, way that builds naturally on what people have already had exposure to.Exercises are included.  Some are computational and some are of the supply-a-proof type.  If successfully done, the reader will not only have come to know something, but will have come to know that he or she has come to know it. 3

Artículos relacionados

  • Sudoku
    Tat Puzzles
    Do you like to use your spare moments indulging in Sudoku? This collection is a real treat for anyone who loves Sudoku. Are you ready to rise to the ultimate brain-training challenge?Packed into a paperback sized book, Sudoku - 200 Classic Puzzles - 4 Levels - Easy to Expert is perfect to carry with you for when you have breaks or unexpected time to fill and is your perfect tak...
    Recíbelo en 3 días

    9,89 €

  • Set Theory and Foundations of Mathematics
    Christopher Porter / Douglas Cenzer / Jean Larson
    This book provides an introduction to axiomatic set theory and descriptive set theory. It is written for the upper level undergraduate or beginning graduate students to help them prepare for advanced study in set theory and mathematical logic as well as other areas of mathematics, such as analysis, topology, and algebra.The book is designed as a flexible and accessible text for...
    Recíbelo en 3 días

    73,42 €

  • Set Theory for Pre-Beginners - Solution Guide
    Steve Warner
    Set Theory for Pre-Beginners - Solution GuideThis book contains complete solutions to the problems in the 8 Problem Sets in Set Theory for Pre-Beginners. Note that this book references examples and exercises from Set Theory for Pre-Beginners. Therefore, it is strongly suggested that you purchase a copy of that book before purchasing this one. ...
    Recíbelo en 3 días

    41,23 €

  • Aventuras en el Mundo de la Lógica
    Andrei Moldovan / Antonia Huertas
    Este libro es un compendio de diversos artículos del ámbito de la Lógica que cubren un amplio abanico de temas ofreciendo una panorámica sobre esta disciplina.  Encontraremos artículos sobre aspectos históricos y sobe el desarrollo de la lógica en la filosofía, la informática y las matemáticas actuales; otros sobre cuestiones de metalógica, y otros sobre diferentes tipos de lóg...
    Recíbelo en 3 días

    20,59 €

  • Functional Interpretations
    Justus Diller
    This book gives a detailed treatment of functional interpretations of arithmetic, analysis, and set theory. The subject goes back to Gödel's Dialectica interpretation of Heyting arithmetic which replaces nested quantification by higher type operations and thus reduces the consistency problem for arithmetic to the problem of computability of primitive recursive functionals o...
    Recíbelo en 3 días

    125,57 €

  • A Mathematical Primer on Linear Optimization
    Amilcar Sernadas / Cristina Sernadas / Diogo Gomes
    The book provides a self-contained mathematical introduction to linear optimization for  undergraduate students of Mathematics. This book is equally suitable for Science,  Engineering, and Economics students who are interested in gaining a deeper understanding of the mathematical aspects of the subject. The linear optimization problem is analyzed from different perspectives: to...
    Recíbelo en 3 días

    19,05 €