NUST Institutions Library Catalogue

Principles of Mathematics (E-Book) [Elektronisk resurs]. Russell, Bertrand.

By: Russell, BertrandSeries: Routledge Classics: Publisher: Hoboken : Taylor & Francis, 2009Description: 1 online resource (601 p.)ISBN: 0-203-86476-0; 978-0-203-86476-0Subject(s): Mathematics -- Philosophy | Mathematics | Philosophy | (E-Book)Genre/Form: Electronic books.DDC classification: 510.1
Contents:
17 INFINITE WHOLES18 RATIOS AND FRACTIONS; Part III Quantity; 19 THE MEANING OF MAGNITUDE; 20 THE RANGE OF QUANTITY; 21 NUMBERS AS EXPRESSING MAGNITUDES: MEASUREMENT; 22 ZERO; 23 INFINITY, THE INFINITESIMAL AND CONTINUITY; Part IV Order; 24 THE GENESIS OF SERIES; 25 THE MEANING OF ORDER; 26 ASYMMETRICAL RELATIONS; 27 DIFFERENCE OF SENSE AND DIFFERENCE OF SIGN; 28 ON THE DIFFERENCE BETWEEN OPEN AND CLOSED SERIES; 29 PROGRESSIONS AND ORDINAL NUMBERS; 30 DEDEKIND'S THEORY OF NUMBER; 31 DISTANCE; Part V In.nity and Continuity; 32 THE CORRELATION OF SERIES; 33 REAL NUMBERS
34 LIMITS AND IRRATIONAL NUMBERS35 CANTOR'S FIRST DEFINITION OF CONTINUITY; 36 ORDINAL CONTINUITY; 37 TRANSFINITE CARDINALS; 38 TRANSFINITE ORDINALS; 39 THE INFINITESIMAL CALCULUS; 40 THE INFINITESIMAL AND THE IMPROPER INFINITE; 41 PHILOSOPHICAL ARGUMENTS CONCERNING THE INFINITESIMAL; 42 THE PHILOSOPHY OF THE CONTINUUM; 43 THE PHILOSOPHY OF THE INFINITE; Part VI Space; 44 DIMENSIONS AND COMPLEX NUMBERS; 45 PROJECTIVE GEOMETRY; 46 DESCRIPTIVE GEOMETRY; 47 METRICAL GEOMETRY; 48 RELATION OF METRICAL TO PROJECTIVE AND DESCRIPTIVE GEOMETRY; 49 DEFINITIONS OF VARIOUS SPACES
50 THE CONTINUITY OF SPACE51 LOGICAL ARGUMENTS AGAINST POINTS; 52 KANT'S THEORY OF SPACE; Part VII Matter and Motion; 53 MATTER; 54 MOTION; 55 CAUSALITY; 56 DEFINITION OF A DYNAMICAL WORLD; 57 NEWTON'S LAWS OF MOTION; 58 ABSOLUTE AND RELATIVE MOTION; 59 HERTZ'S DYNAMICS; Appendices; LIST OF ABBREVIATIONS; Appendix A; Appendix B; INDEX;
BOOK COVER; TITLE; COPYRIGHT; CONTENTS; INTRODUCTION TO THE 1992 EDITION; INTRODUCTION TO THE SECOND EDITION; PREFACE; Part I The Inde.nables of Mathematics; 1 DEFINITION OF PURE MATHEMATICS; 2 SYMBOLIC LOGIC; 3 IMPLICATION AND FORMAL IMPLICATION; 4 PROPER NAMES, ADJECTIVES AND VERBS; 5 DENOTING; 6 CLASSES; 7 PROPOSITIONAL FUNCTIONS; 8 THE VARIABLE; 9 RELATIONS; 10 THE CONTRADICTION; Part II Number; 11 DEFINITION OF CARDINAL NUMBERS; 12 ADDITION AND MULTIPLICATION; 13 FINITE AND INFINITE; 14 THEORY OF FINITE NUMBERS; 15 ADDITION OF TERMS AND ADDITION OF CLASSES; 16 WHOLE AND PART
Summary: A precursor to Russell's famous Principa Mathematica , this is one of the most original and comprehensive treatises on the logical foundation of mathematics available today.
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Item type Current location Home library Collection Call number URL Status Date due Barcode Item holds
Book Book Military College of Signals (MCS)
Military College of Signals (MCS)
NFIC 510.1 BER (Browse shelf) Link to resource Available MCSEB-2444
Total holds: 0

Description based upon print version of record.

17 INFINITE WHOLES18 RATIOS AND FRACTIONS; Part III Quantity; 19 THE MEANING OF MAGNITUDE; 20 THE RANGE OF QUANTITY; 21 NUMBERS AS EXPRESSING MAGNITUDES: MEASUREMENT; 22 ZERO; 23 INFINITY, THE INFINITESIMAL AND CONTINUITY; Part IV Order; 24 THE GENESIS OF SERIES; 25 THE MEANING OF ORDER; 26 ASYMMETRICAL RELATIONS; 27 DIFFERENCE OF SENSE AND DIFFERENCE OF SIGN; 28 ON THE DIFFERENCE BETWEEN OPEN AND CLOSED SERIES; 29 PROGRESSIONS AND ORDINAL NUMBERS; 30 DEDEKIND'S THEORY OF NUMBER; 31 DISTANCE; Part V In.nity and Continuity; 32 THE CORRELATION OF SERIES; 33 REAL NUMBERS

34 LIMITS AND IRRATIONAL NUMBERS35 CANTOR'S FIRST DEFINITION OF CONTINUITY; 36 ORDINAL CONTINUITY; 37 TRANSFINITE CARDINALS; 38 TRANSFINITE ORDINALS; 39 THE INFINITESIMAL CALCULUS; 40 THE INFINITESIMAL AND THE IMPROPER INFINITE; 41 PHILOSOPHICAL ARGUMENTS CONCERNING THE INFINITESIMAL; 42 THE PHILOSOPHY OF THE CONTINUUM; 43 THE PHILOSOPHY OF THE INFINITE; Part VI Space; 44 DIMENSIONS AND COMPLEX NUMBERS; 45 PROJECTIVE GEOMETRY; 46 DESCRIPTIVE GEOMETRY; 47 METRICAL GEOMETRY; 48 RELATION OF METRICAL TO PROJECTIVE AND DESCRIPTIVE GEOMETRY; 49 DEFINITIONS OF VARIOUS SPACES

50 THE CONTINUITY OF SPACE51 LOGICAL ARGUMENTS AGAINST POINTS; 52 KANT'S THEORY OF SPACE; Part VII Matter and Motion; 53 MATTER; 54 MOTION; 55 CAUSALITY; 56 DEFINITION OF A DYNAMICAL WORLD; 57 NEWTON'S LAWS OF MOTION; 58 ABSOLUTE AND RELATIVE MOTION; 59 HERTZ'S DYNAMICS; Appendices; LIST OF ABBREVIATIONS; Appendix A; Appendix B; INDEX;

BOOK COVER; TITLE; COPYRIGHT; CONTENTS; INTRODUCTION TO THE 1992 EDITION; INTRODUCTION TO THE SECOND EDITION; PREFACE; Part I The Inde.nables of Mathematics; 1 DEFINITION OF PURE MATHEMATICS; 2 SYMBOLIC LOGIC; 3 IMPLICATION AND FORMAL IMPLICATION; 4 PROPER NAMES, ADJECTIVES AND VERBS; 5 DENOTING; 6 CLASSES; 7 PROPOSITIONAL FUNCTIONS; 8 THE VARIABLE; 9 RELATIONS; 10 THE CONTRADICTION; Part II Number; 11 DEFINITION OF CARDINAL NUMBERS; 12 ADDITION AND MULTIPLICATION; 13 FINITE AND INFINITE; 14 THEORY OF FINITE NUMBERS; 15 ADDITION OF TERMS AND ADDITION OF CLASSES; 16 WHOLE AND PART

A precursor to Russell's famous Principa Mathematica , this is one of the most original and comprehensive treatises on the logical foundation of mathematics available today.

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