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  • 1
    Online-Ressource
    Online-Ressource
    Non-standard analysis (1966)
    Amsterdam : North-Holland Pub. Co
    Details
    UID:
    gbv_742403386
    Umfang: Online Ressource (xi, 293 p.) , front.
    Ausgabe: Online-Ausg. 2010 Electronic reproduction
    ISBN: 9780444534071 , 0444534075
    Serie: Studies in logic and the foundations of mathematics
    Inhalt: General introduction -- Tools from logic -- Differential and integral calculus -- General topology -- Functions of a complex variable -- Linear spaces -- Topological groups and lie groups -- Selected topics -- Concerning the history of the calculus
    Anmerkung: On label mounted on t.p.: New York, Humanities Press. - Bibliography: p. [283]-289. - Description based on print version record , On label mounted on t.p.: New York, Humanities Press , General introduction -- Tools from logic -- Differential and integral calculus -- General topology -- Functions of a complex variable -- Linear spaces -- Topological groups and lie groups -- Selected topics -- Concerning the history of the calculus. , Electronic reproduction
    Weitere Ausg.: ISBN 0444534075
    Weitere Ausg.: Erscheint auch als Druck-Ausgabe Non-standard analysis
    Sprache: Englisch
    Schlagwort(e): Electronic books ; Electronic books
    URL: Volltext
    URL: Volltext
    URL: lizenzpflichtig
    URL: lizenzpflichtig
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
    BibTip Andere fanden auch interessant ...
    Online-Ressource
    Online Zugang
    Stabi Berlin
    UB Potsdam
  • 2
    Online-Ressource
    Online-Ressource
    Non-standard analysis (1966)
    Burlington :Elsevier Science,
    Details
    UID:
    edocfu_9958090672202883
    Umfang: 1 online resource (307 p.)
    ISBN: 1-283-52633-6 , 0-08-095762-5
    Serie: Studies in logic and the foundations of mathematics ; v. 42
    Inhalt: Provability, Computability and Reflection
    Anmerkung: Description based upon print version of record. , Front Cover; Non-Standard Analysis; Copyright Page; LIST OF CONTENTS; CHAPTER I. GENERAL INTRODUCTION; 1.1 Purpose of this book; 1.2 Summary of contents; CHAPTER II. TOOLS FROM LOGIC; 2.1 The Lower Predicate Calculus; 2.2 Interpretation; 2.3 Ultraproducts; 2.4 Prenex normal form; 2.5 The finiteness principle; 2.6 Higher order structures and corresponding languages; 2.7 Type symbols; 2.8 Finiteness principle for higher order theories; 2.9 Enlargements; 2.10 Examples of enlargements; 2.11 General properties of enlargements; 2.12 Remarks and references , CHAPTER III. DIFFERENTIAL AND INTEGRAL CALCULUS3.1 Non-standard Arithmetic; 3.2 Non-standard Analysis; 3.3 Convergence; 3.4 Continuity and differentiation; 3.5 Integration; 3.6 Differentials; 3.7 Total differentials; 3.8 Elementary Differential Geometry; 3.9 Remarks and references; CHAPTER IV. GENERAL TOPOLOGY; 4.1 Topological spaces; 4.2 Sequences, nets, mappings; 4.3 Metric spaces; 4.4 Topologies in *T; 4.5 Functions, limits, continuity in metric spaces; 4.6 Sequences of functions, Compact mappings; 4.7 Euclidean space; 4.8 Remarks and references; CHAPTER V. FUNCTIONS OF A REAL VARlABLE , 5.1 Measure and integration5.2 Sequences of functions; 5.3 Distributions; 5.4 Remarks and references; CHAPTER VI. FUNCTIONS OF A COMPLEX VARIABLE; 6.1 Analytic theory of polynomials; 6.2 Analytic functions; 6.3 Picard's theorems and Julia's directions; 6.4 Compactness arguments in classical Function Theory; 6.5 Remarks and references; CHAPTER VII. LINEAR SPACES; 7.1 Normed spaces; 7.2 Hilbert space; 7.3 Spectral theory of compact operators; 7.4 An invariant subspace problem; 7.5 Remarks and references; CHAPTER VIIl. TOPOLOGICAL GROUPS AND LIE GROUPS; 8.1 Topological groups; 8.2 Metric groups , 8.3 One-parametric subgroups8.4 The Lie algebra of a group; 8.5 Remarks and references; CHAPTER IX. SELECTED TOPICS; 9.1 Variations; 9.2 Riemann's mapping theorem; 9.3 Dirichlet's principle; 9.4 Sources and doublets; 9.5 Local perturbations; 9.6 Boundary layer theory; 9.7 Saint-Venant's principle; 9.8 Remarks and references; CHAPTER X. CONCERNING THE HISTORY OF THE CALCULUS; 10.1 Introduction; 10.2 Leibniz; 10.3 De I'Hospital; 10.4 Lagrange and d'Alembert; 10.5 Cauchy; 10.6 Bolzano, Weierstrass. and after; 10.7 Infinitely small and large numbers and the infinite; BIBLIOGRAPHY , INDEX OF AUTHORSSUBJECT INDEX , English
    Weitere Ausg.: ISBN 0-444-53407-5
    Sprache: Englisch
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
    BibTip Andere fanden auch interessant ...
    Online-Ressource
    FU Berlin
  • 3
    Online-Ressource
    Online-Ressource
    Non-standard analysis (1966)
    Burlington :Elsevier Science,
    Details
    UID:
    edoccha_9958090672202883
    Umfang: 1 online resource (307 p.)
    ISBN: 1-283-52633-6 , 0-08-095762-5
    Serie: Studies in logic and the foundations of mathematics ; v. 42
    Inhalt: Provability, Computability and Reflection
    Anmerkung: Description based upon print version of record. , Front Cover; Non-Standard Analysis; Copyright Page; LIST OF CONTENTS; CHAPTER I. GENERAL INTRODUCTION; 1.1 Purpose of this book; 1.2 Summary of contents; CHAPTER II. TOOLS FROM LOGIC; 2.1 The Lower Predicate Calculus; 2.2 Interpretation; 2.3 Ultraproducts; 2.4 Prenex normal form; 2.5 The finiteness principle; 2.6 Higher order structures and corresponding languages; 2.7 Type symbols; 2.8 Finiteness principle for higher order theories; 2.9 Enlargements; 2.10 Examples of enlargements; 2.11 General properties of enlargements; 2.12 Remarks and references , CHAPTER III. DIFFERENTIAL AND INTEGRAL CALCULUS3.1 Non-standard Arithmetic; 3.2 Non-standard Analysis; 3.3 Convergence; 3.4 Continuity and differentiation; 3.5 Integration; 3.6 Differentials; 3.7 Total differentials; 3.8 Elementary Differential Geometry; 3.9 Remarks and references; CHAPTER IV. GENERAL TOPOLOGY; 4.1 Topological spaces; 4.2 Sequences, nets, mappings; 4.3 Metric spaces; 4.4 Topologies in *T; 4.5 Functions, limits, continuity in metric spaces; 4.6 Sequences of functions, Compact mappings; 4.7 Euclidean space; 4.8 Remarks and references; CHAPTER V. FUNCTIONS OF A REAL VARlABLE , 5.1 Measure and integration5.2 Sequences of functions; 5.3 Distributions; 5.4 Remarks and references; CHAPTER VI. FUNCTIONS OF A COMPLEX VARIABLE; 6.1 Analytic theory of polynomials; 6.2 Analytic functions; 6.3 Picard's theorems and Julia's directions; 6.4 Compactness arguments in classical Function Theory; 6.5 Remarks and references; CHAPTER VII. LINEAR SPACES; 7.1 Normed spaces; 7.2 Hilbert space; 7.3 Spectral theory of compact operators; 7.4 An invariant subspace problem; 7.5 Remarks and references; CHAPTER VIIl. TOPOLOGICAL GROUPS AND LIE GROUPS; 8.1 Topological groups; 8.2 Metric groups , 8.3 One-parametric subgroups8.4 The Lie algebra of a group; 8.5 Remarks and references; CHAPTER IX. SELECTED TOPICS; 9.1 Variations; 9.2 Riemann's mapping theorem; 9.3 Dirichlet's principle; 9.4 Sources and doublets; 9.5 Local perturbations; 9.6 Boundary layer theory; 9.7 Saint-Venant's principle; 9.8 Remarks and references; CHAPTER X. CONCERNING THE HISTORY OF THE CALCULUS; 10.1 Introduction; 10.2 Leibniz; 10.3 De I'Hospital; 10.4 Lagrange and d'Alembert; 10.5 Cauchy; 10.6 Bolzano, Weierstrass. and after; 10.7 Infinitely small and large numbers and the infinite; BIBLIOGRAPHY , INDEX OF AUTHORSSUBJECT INDEX , English
    Weitere Ausg.: ISBN 0-444-53407-5
    Sprache: Englisch
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
    BibTip Andere fanden auch interessant ...
    Online-Ressource
    Charité
  • 4
    Online-Ressource
    Online-Ressource
    Non-standard analysis (1966)
    Burlington :Elsevier Science,
    Details
    UID:
    almahu_9947367796002882
    Umfang: 1 online resource (307 p.)
    ISBN: 1-283-52633-6 , 0-08-095762-5
    Serie: Studies in logic and the foundations of mathematics ; v. 42
    Inhalt: Provability, Computability and Reflection
    Anmerkung: Description based upon print version of record. , Front Cover; Non-Standard Analysis; Copyright Page; LIST OF CONTENTS; CHAPTER I. GENERAL INTRODUCTION; 1.1 Purpose of this book; 1.2 Summary of contents; CHAPTER II. TOOLS FROM LOGIC; 2.1 The Lower Predicate Calculus; 2.2 Interpretation; 2.3 Ultraproducts; 2.4 Prenex normal form; 2.5 The finiteness principle; 2.6 Higher order structures and corresponding languages; 2.7 Type symbols; 2.8 Finiteness principle for higher order theories; 2.9 Enlargements; 2.10 Examples of enlargements; 2.11 General properties of enlargements; 2.12 Remarks and references , CHAPTER III. DIFFERENTIAL AND INTEGRAL CALCULUS3.1 Non-standard Arithmetic; 3.2 Non-standard Analysis; 3.3 Convergence; 3.4 Continuity and differentiation; 3.5 Integration; 3.6 Differentials; 3.7 Total differentials; 3.8 Elementary Differential Geometry; 3.9 Remarks and references; CHAPTER IV. GENERAL TOPOLOGY; 4.1 Topological spaces; 4.2 Sequences, nets, mappings; 4.3 Metric spaces; 4.4 Topologies in *T; 4.5 Functions, limits, continuity in metric spaces; 4.6 Sequences of functions, Compact mappings; 4.7 Euclidean space; 4.8 Remarks and references; CHAPTER V. FUNCTIONS OF A REAL VARlABLE , 5.1 Measure and integration5.2 Sequences of functions; 5.3 Distributions; 5.4 Remarks and references; CHAPTER VI. FUNCTIONS OF A COMPLEX VARIABLE; 6.1 Analytic theory of polynomials; 6.2 Analytic functions; 6.3 Picard's theorems and Julia's directions; 6.4 Compactness arguments in classical Function Theory; 6.5 Remarks and references; CHAPTER VII. LINEAR SPACES; 7.1 Normed spaces; 7.2 Hilbert space; 7.3 Spectral theory of compact operators; 7.4 An invariant subspace problem; 7.5 Remarks and references; CHAPTER VIIl. TOPOLOGICAL GROUPS AND LIE GROUPS; 8.1 Topological groups; 8.2 Metric groups , 8.3 One-parametric subgroups8.4 The Lie algebra of a group; 8.5 Remarks and references; CHAPTER IX. SELECTED TOPICS; 9.1 Variations; 9.2 Riemann's mapping theorem; 9.3 Dirichlet's principle; 9.4 Sources and doublets; 9.5 Local perturbations; 9.6 Boundary layer theory; 9.7 Saint-Venant's principle; 9.8 Remarks and references; CHAPTER X. CONCERNING THE HISTORY OF THE CALCULUS; 10.1 Introduction; 10.2 Leibniz; 10.3 De I'Hospital; 10.4 Lagrange and d'Alembert; 10.5 Cauchy; 10.6 Bolzano, Weierstrass. and after; 10.7 Infinitely small and large numbers and the infinite; BIBLIOGRAPHY , INDEX OF AUTHORSSUBJECT INDEX , English
    Weitere Ausg.: ISBN 0-444-53407-5
    Sprache: Englisch
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
    BibTip Andere fanden auch interessant ...
    Online-Ressource
    HU Berlin
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