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  • MPI Ethno. Forsch.  (16)
  • HeBIS
  • Online Resource  (16)
  • 1960-1964  (16)
  • Science (General)  (13)
  • Education
  • Electronic books.
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  • MPI Ethno. Forsch.  (16)
  • HeBIS
  • BSZ  (1)
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  • Online Resource  (16)
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Year
  • 1
    Online Resource
    Online Resource
    Boston, MA : Springer US
    ISBN: 9781461333807
    Language: English
    Pages: Online-Ressource , online resource
    Edition: Third Edition
    Edition: Springer eBook Collection. Humanities, Social Sciences and Law
    Parallel Title: Erscheint auch als
    Parallel Title: Erscheint auch als
    Keywords: Science (General) ; Social sciences. ; Humanities.
    Abstract: General Monographs, Alphabetically Arranged and Consisting of Methods for Quantitative Determination of the Substance, its Salts, and Preparations of Which it is a Principal Con- Stituent -- Synthetic Organic Compounds, Methods for Determination of Substances not Included in the General Monographs -- Essential Oils -- Oils, Fats and Waxes -- Appendices -- I. Determination of Alcohol Content -- II. Complexometric Titrations -- III. Non-aqueous Titrations -- IV. The Oxygen-Flask Combustion Technique -- V. Determination of Water -- VI. Extraneous Matter in Food and Drugs -- VII. Microbiological Assays -- VIII. Tests for Sterility -- IX. Pyrogen Testing -- X. Interpretation of Analytical Results -- XI. Destruction of Organic Matter -- XII. Extraction of Organic Chemicals from Viscera, etc. -- XIII. Electrometric Titrations -- XIV. Flame Photometry -- XV. Gas Chromatography -- XVI. Infra-Red Spectroscopy -- XVII. The Elimination of Emulsions -- XVIII. Lane and Eynon Sugar Titration Tables -- XIX. Hinton and Macara Chloramine Sucrose Corrections -- XX. Specific Gravity of Aqueous Glycerol -- XXI. International Atomic Weights, 1961 -- XXII. Weights and Measures, Conversion Tables -- General Index.
    Description / Table of Contents: General Monographs, Alphabetically Arranged and Consisting of Methods for Quantitative Determination of the Substance, its Salts, and Preparations of Which it is a Principal Con- StituentSynthetic Organic Compounds, Methods for Determination of Substances not Included in the General Monographs -- Essential Oils -- Oils, Fats and Waxes -- Appendices -- I. Determination of Alcohol Content -- II. Complexometric Titrations -- III. Non-aqueous Titrations -- IV. The Oxygen-Flask Combustion Technique -- V. Determination of Water -- VI. Extraneous Matter in Food and Drugs -- VII. Microbiological Assays -- VIII. Tests for Sterility -- IX. Pyrogen Testing -- X. Interpretation of Analytical Results -- XI. Destruction of Organic Matter -- XII. Extraction of Organic Chemicals from Viscera, etc. -- XIII. Electrometric Titrations -- XIV. Flame Photometry -- XV. Gas Chromatography -- XVI. Infra-Red Spectroscopy -- XVII. The Elimination of Emulsions -- XVIII. Lane and Eynon Sugar Titration Tables -- XIX. Hinton and Macara Chloramine Sucrose Corrections -- XX. Specific Gravity of Aqueous Glycerol -- XXI. International Atomic Weights, 1961 -- XXII. Weights and Measures, Conversion Tables -- General Index.
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  • 2
    Online Resource
    Online Resource
    Boston, MA : Springer US
    ISBN: 9781489957238
    Language: English
    Pages: Online-Ressource (X, 240 p) , online resource
    Edition: Springer eBook Collection. Humanities, Social Sciences and Law
    Series Statement: The International Cryogenics Monograph Series
    Parallel Title: Erscheint auch als
    Parallel Title: Erscheint auch als
    Parallel Title: Erscheint auch als
    Keywords: Science (General) ; Social sciences. ; Humanities.
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  • 3
    Online Resource
    Online Resource
    Boston, MA : Springer US
    ISBN: 9781475702149
    Language: English
    Pages: Online-Ressource , online resource
    Edition: Springer eBook Collection. Humanities, Social Sciences and Law
    Parallel Title: Erscheint auch als
    Parallel Title: Erscheint auch als
    Parallel Title: Erscheint auch als
    Keywords: Science (General) ; Social sciences. ; Humanities.
    Abstract: I. Theoretical Considerations -- 1. Introduction -- 2. Simple Theoretical Models for Magnetic Interactions with Biological Units -- 3. Basic Concepts Related to Magnetic Fields and Magnetic Susceptibility -- 4. The Vector Character of Field and Gradient and Its Possible Implications for Biomagnetic Experiments and Space Travel -- 5. Rotational Diffusion in a Magnetic Field and Its Possible Magnetobiological Implications -- 6. Distortion of the Bond Angle in a Magnetic Field and Its Possible Magnetobiological Implications -- 7. A Possible Effect of the Magnetic Field Upon the Genetic Code -- II. Effects of Strong Magnetic Fields on Specimens in vivo -- 1. Development of Young Mice -- 2. Rejection of Transplanted Tumors in Mice -- 3. Hematological Changes in Mice -- 4. Reduction of Irradiation Mortality Through Pretreatment -- 5. Lifespan Increase of Tumor-Bearing Mice Through Pretreatment -- 6. Wound Healing and Tissue Regeneration -- 7. Effect on Drosophila melanogaster and S-37 Tumor Cells; Postulates for Magnetic Field Interactions -- 8. Magnetotropism -- 9. Plant Growth Responses -- 10. Effects on the Central Nervous System -- 11. Survival of Animals in Magnetic Fields of 140,000 Oe -- III. Effects of Strong Magnetic Fields on Specimens in vitro -- 1. Tissue Respiration -- 2. Agglutination of Human Erythrocytes -- 3. Inhibition of Bacterial Growth in Fields of High Paramagnetic Strength -- 4. Inhibition of Bacterial Growth in Homogeneous Fields -- 5. Increase of Trypsin Activity -- 6. Magnetic Reactivation of Partially Inhibited Trypsin -- IV. Effects of Very Weak Magnetic Fields -- 1. Responses of Planarians and Snails -- 2. Actions of a Very Weak Magnetic Gradient. The Reflex of the Dowser -- 3. Proposed Mechanisms for the Navigation of Migrating Birds -- V. Bibliography and Indexes -- Bibliography of the Biological Effects of Static Magnetic Fields -- About the Authors.
    Abstract: Study of the biological effect of magnetic fields is both a very old and a very recent area of investigation. A connection between health and the mysterious force of the lodestone has been suspected since the dawn of human culture. Nevertheless, only during the last decades has reliable evidence of biological effects of the magnetic field been dis­ covered. The purpose of this book is to bring together in one volume the present-day knowledge in all the active fields of biomagnetic research and at the same time to provide a theoretical and practical background to all scientists who wish to engage in investigations in this new disci­ pline. The need for such a comprehensive survey of current informa­ tion became evident to the editor from the interest manifested in the biomagnetic symposia and from the extended correspondence maintained by the Biomagnetic Research Foundation. It is hoped that the book will aid in attracting the interest of specialists and may thus serve as a catalyst for interdisciplinary exchange of ideas.
    Description / Table of Contents: I. Theoretical Considerations1. Introduction -- 2. Simple Theoretical Models for Magnetic Interactions with Biological Units -- 3. Basic Concepts Related to Magnetic Fields and Magnetic Susceptibility -- 4. The Vector Character of Field and Gradient and Its Possible Implications for Biomagnetic Experiments and Space Travel -- 5. Rotational Diffusion in a Magnetic Field and Its Possible Magnetobiological Implications -- 6. Distortion of the Bond Angle in a Magnetic Field and Its Possible Magnetobiological Implications -- 7. A Possible Effect of the Magnetic Field Upon the Genetic Code -- II. Effects of Strong Magnetic Fields on Specimens in vivo -- 1. Development of Young Mice -- 2. Rejection of Transplanted Tumors in Mice -- 3. Hematological Changes in Mice -- 4. Reduction of Irradiation Mortality Through Pretreatment -- 5. Lifespan Increase of Tumor-Bearing Mice Through Pretreatment -- 6. Wound Healing and Tissue Regeneration -- 7. Effect on Drosophila melanogaster and S-37 Tumor Cells; Postulates for Magnetic Field Interactions -- 8. Magnetotropism -- 9. Plant Growth Responses -- 10. Effects on the Central Nervous System -- 11. Survival of Animals in Magnetic Fields of 140,000 Oe -- III. Effects of Strong Magnetic Fields on Specimens in vitro -- 1. Tissue Respiration -- 2. Agglutination of Human Erythrocytes -- 3. Inhibition of Bacterial Growth in Fields of High Paramagnetic Strength -- 4. Inhibition of Bacterial Growth in Homogeneous Fields -- 5. Increase of Trypsin Activity -- 6. Magnetic Reactivation of Partially Inhibited Trypsin -- IV. Effects of Very Weak Magnetic Fields -- 1. Responses of Planarians and Snails -- 2. Actions of a Very Weak Magnetic Gradient. The Reflex of the Dowser -- 3. Proposed Mechanisms for the Navigation of Migrating Birds -- V. Bibliography and Indexes -- Bibliography of the Biological Effects of Static Magnetic Fields -- About the Authors.
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  • 4
    Online Resource
    Online Resource
    Boston, MA : Springer US
    ISBN: 9781489955371
    Language: English
    Pages: Online-Ressource (XI, 335 p) , online resource
    Edition: Springer eBook Collection. Humanities, Social Sciences and Law
    Series Statement: Materials Science Research
    DDC: 50
    Keywords: Science (General)
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  • 5
    Online Resource
    Online Resource
    Dordrecht : Springer Netherlands
    ISBN: 9789400958494
    Language: English
    Pages: Online-Ressource , online resource
    Edition: Springer eBook Collection. Humanities, Social Sciences and Law
    DDC: 50
    Keywords: Science (General)
    Description / Table of Contents: 1 Life in Fresh Water2 Fresh-Water Sponges -- 3 Hydroids: Fresh-Water Coelenterates -- 4 Flatworms (Platyhelminthes) -- a) Free-living Forms (Turbellarians) -- b) Parasitic Forms (Trematodes and Cestodes) -- c) Note on Nemertean Worms -- 5 Roundworms (Nematodes, With Notes on Acanthocephala and Gordiaceae) -- 6 The True Worms (Annelida) -- a) Oligochætes -- b) Leeches (Hirudineae) -- 7 The Arthropoda: Crustacea -- 8 The Arthropoda: Insects -- 9 The Arthropoda: Insects (continued) -- 10 The Arthropoda: The Arachnids -- 11 The Mollusca -- a) Snails (Gastropoda) -- b) Mussels and Cockles (Lamellibranchia) -- 12 The Polyzoa (Moss Animalcules) -- 13 The Wheel Animalcules (Rotifera), With a Note on the Gastrotricha -- 14 The Protozoa.
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  • 6
    Online Resource
    Online Resource
    Dordrecht : Springer Netherlands
    ISBN: 9789401752572
    Language: English
    Pages: Online-Ressource (XXII, 1457 p) , online resource
    Edition: Springer eBook Collection. Humanities, Social Sciences and Law
    Parallel Title: Erscheint auch als
    Parallel Title: Erscheint auch als
    Parallel Title: Erscheint auch als
    Keywords: Science (General) ; Social sciences. ; Humanities.
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  • 7
    Online Resource
    Online Resource
    Dordrecht : Springer Netherlands
    ISBN: 9789401528177
    Language: English
    Pages: Online-Ressource (33 p) , online resource
    Edition: Springer eBook Collection. Humanities, Social Sciences and Law
    Parallel Title: Erscheint auch als
    Parallel Title: Erscheint auch als
    Keywords: Education
    Abstract: Conferences — Kongresse — Congrès -- The Adjustment of the Educational Structure to the Requirements of Economic Development -- The Optimal Location of Various Types of Education for Development -- Science and Science Education in Developing Countries.
    Description / Table of Contents: Conferences - Kongresse - CongrèsThe Adjustment of the Educational Structure to the Requirements of Economic Development -- The Optimal Location of Various Types of Education for Development -- Science and Science Education in Developing Countries.
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  • 8
    Online Resource
    Online Resource
    Bern : Peter Lang International Academic Publishers
    Language: German
    Pages: 1 Online-Ressource (30 p.)
    Keywords: Education
    Abstract: 〈P〉Die Südosteuropa-Studien werden von der in München ansässigen Südosteuropa-Gesellschaft, der wichtigsten Wissenschaftsorganisation der Südosteuropa-Forschung im deutschsprachigen Raum, herausgegeben. Sie dienen der vertieften und interdisziplinären wissenschaftlichen Darstellung wichtiger Themen aus der Südosteuropa-Forschung. Auch Fragen zur aktuellen politischen und sozio-ökonomischen Entwicklung in der Region Südosteuropa werden aufgegriffen. Herausgeber der Einzelbände sind renommierte Repräsentanten der deutschen und internationalen Südosteuropa-Forschung.〈/P〉
    Note: German
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  • 9
    ISBN: 9789401575287
    Language: English
    Pages: Online-Ressource (X, 89 p) , online resource
    Edition: Springer eBook Collection. Humanities, Social Sciences and Law
    Parallel Title: Erscheint auch als
    Parallel Title: Erscheint auch als
    Keywords: Education ; International education . ; Comparative education.
    Abstract: I. Georg Christoph Lichtenberg: Biography -- II. Lichtenberg’s Philosophy of Education -- III. Pedagogy and Curriculum -- IV. Religion -- V. Psychology Applied to Education -- VI. British Educationalism -- VII. Schopenhauer and Education -- VIII. Lichtenberg’s Thoughts Concerning Education: An Evaluation -- Notes -- I -- II -- III -- IV -- V -- VI -- VII -- VIII.
    Abstract: This is an investigation of the thoughts concerning education in the writings of one of the most original educators of the eighteenth century. Unappreciated and largely overlooked - as was Schopenhauer - by the contemporary educators, Lichtenberg nevertheless presented his generation, and generations to come, with some of the most useful (a great life aim of Horace Mann!) suggestions pertaining to education that may possibly be found anywhere in the annals of classical edu­ cation. Beginning with a biographical sketch of Lichtenberg, it presents an analysis of his philosophy of education, discusses Lichtenberg's thoughts on pedagogy and curriculum, analyzes his conception of morals and religion to the extent that these ideas are specifically related to education, examines his notions of educational psychology, determines Lichtenberg's views on British education in the eighteenth century, compares some of Lichtenberg'S educational ideas in the works of contemporary thinkers and educators, notably Schopenhauer, J ames and Dewey. A concomitant aspect of this book is a portrayal of Lichtenberg as found in his works, viz., as a student, professor, philosopher, educator, moralist, psychologist, comparative educationist, as a searcher for absolute educational truth - attainable only in a world to come. San Diego State College SVEIN 0KSENHOLT, PH. D.
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  • 10
    Online Resource
    Online Resource
    Dordrecht : Springer Netherlands
    ISBN: 9789401093064
    Language: English
    Pages: Online-Ressource , online resource
    Edition: Springer eBook Collection. Humanities, Social Sciences and Law
    Parallel Title: Erscheint auch als
    Parallel Title: Erscheint auch als
    Keywords: Science (General) ; Engineering design. ; Social sciences. ; Humanities.
    Abstract: The Significance of Design -- 1/ General Aspects of the Designer’s Work -- What is meant by design? -- What kinds of design work are there? -- Organization of the drawing office -- Relationship between the drawing office and other departments -- Why teach design as a special subject? -- 2/ The Designer -- Qualities required in a designer -- What is a designer expected to know? -- 3/ Design Factors -- A rational working plan for the drawing office -- What are the factors influencing design? -- How can one classify these factors clearly? -- 4/ A Planned Policy for the Designer -- A The Systematic Working Plan -- B The Problem to be Solved -- C The Basic Design -- D Materials -- E Manufacture -- F Form Design -- 1 How the basic design influences form design -- 2 How mechanical loading influences form design -- 3 Influence of material on form design -- 4 How the production method influences form design -- 5 How the space factor influences form design -- 6 How size influences form design -- 7 How weight influences form design (lightweight construction) -- 8 How the use of standard components influences form design -- 9 How existing products influence form design -- 10 How appearance influences form design -- 11 How convenience of handling influences form design -- 12 How maintenance questions influence form design -- 13 How the question of repair influences form design -- 14 How surface properties influence form design -- 15 How fitness for shipment influences form design -- 16 How power requirements influence form design -- G Costs -- A Solutions of Exercise Problems -- B Bibliography -- C British Standard Specifications of Materials -- D Strength of Cast Iron.
    Abstract: TO THE GERMAN EDITION This book is addressed to those engineering students who are prepared to work-not to such as are content to refurbish existing designs without taking the trouble to understand the trains of thought and the considerations which are needed in true design work. It is a well-established fact that the beginner, confronted by the simplest of design problems, and lacking a pattern or model to suggest a solution, loses his way in endless trial and error unless given positive guidance. In this book, therefore, the author has drawn on his long teaching experience in an attempt to present in a readily understandable and systematic manner a methodical work­ plan which will enable the beginner practising design problems to reach his objective by a rational route. This approach has the further advantage. con­ firmed by experience, that in adopting it the student will find his interest and pleasure in design work growing, and his self-confidence increasing. Written with the requirements of general mechanical engineering in mind, the book does not deal with the manufacturing methods typical of light precision engineering. To prevent the book from taking on a size which would have detracted from its clear layout and obscured the main principles presented, the numerical tables, graphs, etc. available for reference in pocket books and textbooks have been omitted.
    Description / Table of Contents: The Significance of Design1| General Aspects of the Designer’s Work -- What is meant by design? -- What kinds of design work are there? -- Organization of the drawing office -- Relationship between the drawing office and other departments -- Why teach design as a special subject? -- 2| The Designer -- Qualities required in a designer -- What is a designer expected to know? -- 3| Design Factors -- A rational working plan for the drawing office -- What are the factors influencing design? -- How can one classify these factors clearly? -- 4| A Planned Policy for the Designer -- A The Systematic Working Plan -- B The Problem to be Solved -- C The Basic Design -- D Materials -- E Manufacture -- F Form Design -- 1 How the basic design influences form design -- 2 How mechanical loading influences form design -- 3 Influence of material on form design -- 4 How the production method influences form design -- 5 How the space factor influences form design -- 6 How size influences form design -- 7 How weight influences form design (lightweight construction) -- 8 How the use of standard components influences form design -- 9 How existing products influence form design -- 10 How appearance influences form design -- 11 How convenience of handling influences form design -- 12 How maintenance questions influence form design -- 13 How the question of repair influences form design -- 14 How surface properties influence form design -- 15 How fitness for shipment influences form design -- 16 How power requirements influence form design -- G Costs -- A Solutions of Exercise Problems -- B Bibliography -- C British Standard Specifications of Materials -- D Strength of Cast Iron.
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  • 11
    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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  • 12
    ISBN: 9789401534543
    Language: English
    Pages: Online-Ressource (III, 311 p) , online resource
    Edition: Springer eBook Collection. Humanities, Social Sciences and Law
    Parallel Title: Erscheint auch als
    Parallel Title: Erscheint auch als
    Keywords: Science (General) ; Social sciences. ; Humanities.
    Abstract: Encyclopaedias — Biographies — Bibliography — Typography -- Economics — Social Sciences — Economic History -- Political Science — Law — International Law -- History and Geography -- General -- France -- Netherlands, Belgium -- Central and Northern Europe -- Eastern Europe, Balkans -- Africa — America — Asia -- Africa -- The Americas -- Asia -- Philosophy — Psychology — Theology — Ecclesiastical History -- Literature — Linguistics — Folklore -- Germanic -- Romance -- Slavic -- Music — Theatre -- Fine Arts — Architecture — Archaeology.
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  • 13
    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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  • 14
    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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  • 15
    Online Resource
    Online Resource
    Boston, MA : Springer
    ISBN: 9781468477306
    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 -- 1. Number Systems -- 2. The Algebraic Theory -- 2. Geometrical Representations -- 3. Roots of Unity -- 4. Elementary Functions of a Complex Variable -- 1. Introduction -- 2. Sequences -- 3. Series -- 4. Power Series -- 5. TheFunctions ez, cos z, sin z -- 6. The Logarithm -- Answers to Exercises.
    Abstract: THE purpose of this book is to present 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 according 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 ..; - 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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  • 16
    Online Resource
    Online Resource
    Dordrecht : Springer Netherlands
    ISBN: 9789401513203
    Language: English
    Pages: Online-Ressource (IX, 286 p) , online resource
    Edition: Springer eBook Collection. Humanities, Social Sciences and Law
    Parallel Title: Erscheint auch als
    Parallel Title: Erscheint auch als
    Keywords: Science (General) ; Social sciences. ; Humanities.
    Abstract: 1 The Problem -- 2 Dynamic Systems -- 3 The Organism as Machine -- 4 Stability -- 5 Adaptation as Stability -- 6 Parameters -- 7 The Ultrastable System -- 8 The Homeostat -- 9 Ultrastability in the Organism -- 10 The Recurrent Situation -- 11 The Fully-joined System -- 12 Temporary Independence -- 13 The System with Local Stabilities -- 14 Repetitive Stimuli and Habituation -- 15 Adaptation in Iterated and Serial Systems -- 16 Adaptation in the Multistable System -- 17 Ancillary Regulations -- 18 Amplifying Adaptation -- 19 The State-determined System -- 20 Stability -- 21 Parameters -- 22 The Effects of Constancy -- References.
    Description / Table of Contents: 1 The Problem2 Dynamic Systems -- 3 The Organism as Machine -- 4 Stability -- 5 Adaptation as Stability -- 6 Parameters -- 7 The Ultrastable System -- 8 The Homeostat -- 9 Ultrastability in the Organism -- 10 The Recurrent Situation -- 11 The Fully-joined System -- 12 Temporary Independence -- 13 The System with Local Stabilities -- 14 Repetitive Stimuli and Habituation -- 15 Adaptation in Iterated and Serial Systems -- 16 Adaptation in the Multistable System -- 17 Ancillary Regulations -- 18 Amplifying Adaptation -- 19 The State-determined System -- 20 Stability -- 21 Parameters -- 22 The Effects of Constancy -- References.
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