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  • 1960-1964  (5)
  • Dordrecht : Springer  (5)
  • Social sciences.  (4)
  • Linguistics Philosophy
  • 1
    Online Resource
    Online Resource
    Dordrecht : Springer
    ISBN: 9789401165709
    Language: English
    Pages: Online-Ressource , digital
    Edition: Springer eBook Collection. Humanities, Social Sciences and Law
    Series Statement: Library of Mathematics
    Parallel Title: Erscheint auch als
    Parallel Title: Erscheint auch als
    Keywords: Science (General) ; Social sciences. ; Humanities.
    Abstract: 1. Algebraic Theory of Complex Numbers -- 2. Geometrical Representations -- 3. Roots of Unity -- 4. Elementary Functions of a Complex Variable -- Answers to Exercises.
    Abstract: THE purpose of this book is to prescnt a straightforward introduction to complex numbers and their properties. Complex numbers, like other kinds of numbers, are essen­ tially objects with which to perform calculations a:cording to certain rules, and when this principle is borne in mind, the nature of complex numbers is no more mysterious than that of the more familiar types of numbers. This formal approach has recently been recommended in a Reportt prepared for the Mathematical Association. We believe that it has distinct advantages in teaching and that it is more in line with modern algebraical ideas than the alternative geometrical or kinematical definitions of v -1 that used to be proposed. On the other hand, an elementary textbook is clearly not the place to enter into a full discussion of such questions as logical consistency, which would have to be included in a rigorous axiomatic treatment. However, the steps that had to be omitted (with due warning) can easily be filled in by the methods of abstract algebra, which do not conflict with the 'naive' attitude adopted here. I should like to thank my friend and colleague Dr. J. A. Green for a number of valuable suggestions, especially in connection with the chapter on convergence, which is a sequel to his volume Sequences and Series in this Library.
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  • 2
    ISBN: 9789401721110
    Language: English
    Pages: Online-Ressource (VI, 246 p) , digital
    Edition: Springer eBook Collection. Humanities, Social Sciences and Law
    Series Statement: Synthese Library, A Series of Monographs on the Recent Development of Symbolic Logic, Significs, Sociology of Language, Sociology of Science and of Knowledge, Statistics of Language and Related Fields 5
    Parallel Title: Erscheint auch als
    Parallel Title: Erscheint auch als
    Parallel Title: Erscheint auch als
    Keywords: Philosophy (General) ; Logic ; Linguistics Philosophy ; Computer arithmetic and logic units.
    Abstract: A Prerequisite for Rational Philosophical Discussion -- Epistemology and Logic -- Zur Rolle der Sprache in Erkenntnistheoretischer Hinsicht -- Some Remarks Concerning Languages, Calculuses, and Logic -- Carnap and Logical Truth -- Extension and Intension -- The Present Situation in the Philosophy of Mathematics -- A Counterpart of Occam’s Razor in Pure and Applied Mathematics Ontological Uses -- Towards a General Theory of Computability -- Inductive Inconsistencies -- Einige Beiträge zum Problem der Teleologie und der Analyse Von Systemen Mit Zielgerichteter Organisation -- Beleuchtung Von Anwendungen der Logistik in Werken Von Rudolf Carnap -- Typology of Questionnaires Adopted to the Study of Expressions with closely Related Meanings -- Permissible and Impermissible Locutions -- Non-cognitive Synonymy and the Definability of ‘Good’ -- On the History of the International Encyclopedia of Unified Science.
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  • 3
    Online Resource
    Online Resource
    Dordrecht : Springer
    ISBN: 9789401176941
    Language: English
    Pages: Online-Ressource , digital
    Edition: Springer eBook Collection. Humanities, Social Sciences and Law
    Series Statement: Library of Mathematics
    Parallel Title: Erscheint auch als
    Parallel Title: Erscheint auch als
    Keywords: Science (General) ; Social sciences. ; Humanities.
    Abstract: 1. Occurrence and Derivation of Laplace’s Equation -- 1. Situations in which Laplace’s equation arises -- 2. Laplace’s equation in orthogonal curvilinear co-ordinates -- 3. Laplace’s equation in particular co-ordinate systems -- 2. The Method of Separation of Variables -- 1. Rectangular Cartesian co-ordinates -- 2. Temperature distribution in a rectangular metal block -- 3. The analogous electrostatic problem -- 4. Cylindrical polar co-ordinates -- 5. Spherical polar co-ordinates -- 3. Bessel Functions -- 1. An infinite series solution of Bessel’s equation -- 2. Bessel functions of the second kind -- 3. Derivatives of Bessel functions and recurrence formulae -- 4. Modified Bessel functions -- 5. Behaviour of Bessel functions at zero and infinity -- 6. Series of zero order Bessel functions -- 4. Solutions using Cylindrical Polar Co-ordinates -- 1. Form of solutions of Laplace’s equation -- 2. An infinite cylinder in a uniform field -- 3. A particular solid of revolution in a uniform field -- 4. Axi-symmetric temperature distributions in a cylinder -- 5. Legendre Polynomials -- 1. Solution in series of Legendre’s equation -- 2. Associated Legendre functions -- 3. Derivatives and recurrence formulae for Legendre polynomials -- 4. Series of Legendre polynomials -- 6. Solutions using Spherical Polar Co-ordinates -- 1. Form of solutions of Laplace’s equation -- 2. Sphere moving in a liquid at rest at infinity -- 3. A charged conducting sphere in a uniform electric field -- 4. Dielectric sphere in a uniform electric field -- 5. Axi-symmetric temperature distributions in a hollow sphere -- 6. Flow past a nearly spherical body -- 7. Sources, sinks and doublets -- 8. Doublet in a fluid bounded by a sphere -- 9. Doublet in a cavity in a dielectric medium.
    Abstract: THIS book is an introduction both to Laplace's equation and its solutions and to a general method of treating partial differential equations. Chapter 1 discusses vector fields and shows how Laplace's equation arises for steady fields which are irrotational and solenoidal. In the second chapter the method of separation of variables is introduced and used to reduce each partial differential equation, Laplace's equa­ tion in different co-ordinate systems, to three ordinary differential equations. Chapters 3 and 5 are concerned with the solutions of two of these ordinary differential equations, which lead to treatments of Bessel functions and Legendre polynomials. Chapters 4 and 6 show how such solutions are combined to solve particular problems. This general method of approach has been adopted because it can be applied to other scalar and vector fields arising in the physi­ cal sciences; special techniques applicable only to the solu­ tions of Laplace's equation have been omitted. In particular generating functions have been relegated to exercises. After mastering the content of this book, the reader will have methods at his disposal to enable him to look for solutions of other partial differential equations. The author would like to thank Dr. W. Ledermann for his criticism of the first draft of this book. D. R. BLAND The University, Sussex. v Contents Preface page v 1. Occurrence and Derivation of Laplace's Equation 1. Situations in which Laplace's equation arises 1 2. Laplace's equation in orthogonal curvilinear co-ordinates 8 3.
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  • 4
    Online Resource
    Online Resource
    Dordrecht : Springer
    ISBN: 9789401187862
    Language: English
    Pages: Online-Ressource (VIII, 154 p) , digital
    Edition: Springer eBook Collection. Humanities, Social Sciences and Law
    Series Statement: Koninklijk Instituut voor Taal-, Land- en Volkenkunde
    Series Statement: Koninklijk Instituut voor Taal-, Land- en Volkenkunde, Bibliographical Series
    Parallel Title: Erscheint auch als
    Parallel Title: Erscheint auch als
    Keywords: Humanities ; International relations. ; Human geography. ; Social sciences. ; History.
    Abstract: I. Archives -- II. Journals, Institutes, University Chairs -- III. Books of Travel -- IV. The Area Covered by the Charter of the V.O.C -- A. General Works -- B. Sources -- C. Monographs -- D. Biographies -- E. Regional Studies -- V. The Netherlands East Indies after 1795 -- A. Introduction -- B. The East Indies under the Batavian Republic and the Kingdom of Holland (1795–1811) -- C. British Rule (1811–1816) -- D. Restitution to the Netherlands and Further Relations with England -- E. Netherlands East Indies in the States General -- F. Colonial Constitutions, -- G. The Period 1815–1830 -- H. The Culture System and the Fight against it -- I. The Realization of Liberalism -- J. Military History -- K. Internal Administration -- L. The Acheh War and the Pacification of the Outer Districts -- M. Economic History -- N. Cultural History -- O. The First Years of the 20th Century -- P. World War II -- Q. 1945–1950 -- VI. The Area covered by the Charter of the Westindische Compagnie (W.I.C. West Indies Company) to the Present Day -- A. General Works -- B. Brasil -- C. West Africa -- D. Slave Trade -- E. The Caribbean Sea Area and the Attacks on the Spanish Silver Fleet -- F. The Dutch Antilles -- G. Guiana -- H. Surinam -- I. The New Netherlands -- J. The Netherlands and The United States -- List of the Abbreviated Titles of the Most Important Periodicals in Alphabetical Order -- Index of Personal Names.
    Abstract: This volume of the Bibliographical Series is a thoroughly revised English edition, with many additions, of the author's 'Chronique de l'histoire coloniale. Outre-mer neerlandais' published in May 1958 in the French periodical 'Revue d'histoire des colonies' (Tome XLIV, 1957, pp. 311-448). A stricter observance of bibliographical detail has been aimed at, mainly through the efforts of the editorial staff of the Institute. In some instances, however, the form of a continuous narrative, chosen for this bibliography, made it impossible to give full titles. The spelling of geographical names and names of languages is according to the English romanization of Malay. CONTENTS Page Introduction 1 I. Archives 3 II. Journals, Institutes, University Chairs 6 III. Books of Travel. 10 IV. The Area Covered by the Charter of the V. O. C. 21 A. General Works 21 B. Sources 27 C. Monographs . 30 1. Establishment and Commercial Activities of the V. O. C. 30 2. The Administration of Justice 33 3. Army and Navy . 34 4. Medicine and the Sciences 36 5. Religion and Education 37 6. Art 39 D. Biographies 40 1. Pioneers 40 2. Governors-General 41 3. Other Persons 45 E. Regional Studies. 47 1. The Moluccas, Amboyna and Banda 47 2. New Guinea 50 3. Australia 50 4. Celebes 51 5. Borneo 52 6. Sumatra 52 7. Java . 53 8. Japan. 59 9. China 61 10. Formosa 63 11. The Philippines 63 ] 2. Further India 64 13. India . 65 14. Ceylon 70 15.
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  • 5
    Online Resource
    Online Resource
    Dordrecht : Springer
    ISBN: 9789401160896
    Language: English
    Pages: Online-Ressource (VIII, 57 p) , digital
    Edition: Springer eBook Collection. Humanities, Social Sciences and Law
    Series Statement: Library of Mathematics
    Parallel Title: Erscheint auch als
    Parallel Title: Erscheint auch als
    Keywords: Science (General) ; Social sciences. ; Humanities.
    Abstract: 1. Partial Derivatives and Partial Differentiation -- Exercises -- 2. Differentiability and Change of Variables -- 1. Differentiability -- 2. Change of Variables in Partial Differentiation -- 3. Differentials -- Exercises -- 3. Implicit Functions -- 1. Fundamental Theorem -- 2. Derivatives involving Implicit Functions -- 3. Jacobians, Inverse Functions, and Functional Dependence -- Exercises -- 4. Maxima and Minima -- 1. Mean Value Theorem and Taylor’s Theorem -- 2. Maxima and Minima -- 3. Maxima and Minima for Functions with Restraints -- Exercises -- 5. Appendix -- Exercise -- Answers to Exercises.
    Abstract: THIS book, like its predecessors in the same series, is in­ tended primarily to serve the needs of the university student in the physical sciences. However, it begins where a really elementary treatment of the differential calculus (e. g. , Dif­ ferential Calculus,t in this series) leaves off. The study of physical phenomena inevitably leads to the consideration of functions of more than one variable and their rates of change; the same is also true of the study of statistics, economics, and sociology. The mathematical ideas involved are des­ cribed in this book, and only the student familiar with the corresponding ideas for functions of a single variable should attempt to understand the extension of the method of the differential calculus to several variables. The reader should also be warned that, with the deeper penetration into the subject which is required in studying functions of more than one variable, the mathematical argu­ ments involved also take on a more sophisticated aspect. It should be emphasized that the basic ideas do not differ at all from those described in DC, but they are manipulated with greater dexterity in situations in which they are, perhaps, intuitively not so obvious. This remark may not console the reader bogged down in a difficult proof; but it may well happen (as so often in studying mathematics) that the reader will be given insight into the structure of a proof by follow­ ing the examples provided and attempting the exercises.
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