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Author: Nathan Keyfitz
Publisher: Springer Science & Business Media
ISBN: 1475718799
Category : Mathematics
Languages : en
Pages : 461
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Book Description
What follows is a new edition of the second in a series of three books providing an account of the mathematical development of demography. The first, Introduction to the Mathematics of Population (Addison-Wesley, 1968), gave the mathematical background. The second, the original of the present volume, was concerned with demography itself. The third in the sequence, Mathematics Through Problems (with John Beekman; Springer Verlag, 1982), supplemented the first two with an ordered sequence of problems and answers. Readers interested in the mathematics may consult the earlier book, republished with revisions by Addison-Wesley in 1977 and still in print. There is no overlap in subject matter between Applied Mathematical Demography and the Introduction to the Mathematics of Population. Three new chapters have been added, dealing with matters that have come recently into the demographic limelight: multi-state calculations, family demogra phy, and heterogeneity. vii PREFACE This book is concerned with commonsense questions about, for instance, the effect of a lowered death rate on the proportion of old people or the effect of abortions on the birth rate. The answers that it reaches are not always commonsense, and we will meet instances in which intuition has to be adjusted to accord with what the mathematics shows to be the case.
Author: Nathan Keyfitz
Publisher: Springer Science & Business Media
ISBN: 1475718799
Category : Mathematics
Languages : en
Pages : 461
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Book Description
What follows is a new edition of the second in a series of three books providing an account of the mathematical development of demography. The first, Introduction to the Mathematics of Population (Addison-Wesley, 1968), gave the mathematical background. The second, the original of the present volume, was concerned with demography itself. The third in the sequence, Mathematics Through Problems (with John Beekman; Springer Verlag, 1982), supplemented the first two with an ordered sequence of problems and answers. Readers interested in the mathematics may consult the earlier book, republished with revisions by Addison-Wesley in 1977 and still in print. There is no overlap in subject matter between Applied Mathematical Demography and the Introduction to the Mathematics of Population. Three new chapters have been added, dealing with matters that have come recently into the demographic limelight: multi-state calculations, family demogra phy, and heterogeneity. vii PREFACE This book is concerned with commonsense questions about, for instance, the effect of a lowered death rate on the proportion of old people or the effect of abortions on the birth rate. The answers that it reaches are not always commonsense, and we will meet instances in which intuition has to be adjusted to accord with what the mathematics shows to be the case.
Author: Nathan Keyfitz
Publisher:
ISBN:
Category : Demography
Languages : en
Pages : 54
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Book Description
Author: Nathan Keyfitz
Publisher:
ISBN:
Category : Demography
Languages : en
Pages : 82
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Book Description
Author: Nathan Keyfitz
Publisher: Springer Science & Business Media
ISBN: 1475718438
Category : Mathematics
Languages : en
Pages : 149
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Book Description
The book that follows is an experiment in the teaching of population theory and analysis. A sequence of problems where each is a self-contained puzzle, and the successful solution of each which puts the student in a position to tackle the next, is a means of securing the active participation of the learner and so the mastery of a technical subject. How far our questions are the exciting puzzles at which we aimed, and how far the sequence constitutes a rounded course in demography, must be left to the user to judge. One test of a good problem is whether a solution, that may take hours of cogitation, is immediately recognizable once it comes to mind. While algebraic manipulation is required throughout, we have tried to emphasize problems in which there is some substantive point-a conclusion regarding population that can be put into words. Our title, Demography Through Problems, reflects our intention of leading the reader who will actively commit him-or herself through a sequence that will not only teach definitions-in itself a trivial matter-but sharpen intuition on the way that populations behave.
Author: Nathan Keyfitz
Publisher: Springer
ISBN: 9780387501697
Category : Social Science
Languages : en
Pages : 0
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Book Description
Author: David P. Smith
Publisher: Springer Science & Business Media
ISBN: 3642358586
Category : Social Science
Languages : en
Pages : 341
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Book Description
Mathematical demography is the centerpiece of quantitative social science. The founding works of this field from Roman times to the late Twentieth Century are collected here, in a new edition of a classic work by David R. Smith and Nathan Keyfitz. Commentaries by Smith and Keyfitz have been brought up to date and extended by Kenneth Wachter and Hervé Le Bras, giving a synoptic picture of the leading achievements in formal population studies. Like the original collection, this new edition constitutes an indispensable source for students and scientists alike, and illustrates the deep roots and continuing vitality of mathematical demography.
Author: Kenneth C Land
Publisher: Elsevier
ISBN: 1483269841
Category : Social Science
Languages : en
Pages : 623
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Book Description
Multidimensional Mathematical Demography is a collection of papers dealing with the problems of inaccurate or unavailable demographic data, transformation of data into probabilities, multidimensional population dynamic models, and the problems of heterogeneity. The papers suggest a unified perspective with emphasis on data structure to work out multidimensional analysis with incomplete data. To solve inaccuracies in data, one paper notes that designs and use of model multistate schedules, for example, methods of inferring data, should be a major part in multistate modeling. Other papers discuss the state-of-the-art in abridged increment-decrement life table methodology. They also describe the estimation of transition probabilities in increment-decrement life tables where mobility data available is from the count of movers from a population survey. One paper reviews the possible extension of a multiregional stochastic theorem associated in a single-regional case; and then analyzes what the stochastic model needs when it is used with real data. Another paper explains strategies concerning population heterogeneity when it pertains to the mixtures of Markov and semi-Markov processes; Markov processes subject to measurement error; and the Heckman and Borjas model. This collection can be read profitably by statisticians, mathematicians, mathematical demographers, mathematical sociologists, economists, professionals in census bureaus, and students of sociology or geography.
Author: J. Impagliazzo
Publisher: Springer Science & Business Media
ISBN: 364282319X
Category : Mathematics
Languages : en
Pages : 195
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Book Description
Mathematical Demography, the study of population and its analysis through mathematical models, has received increased interest in the mathematical com munity in recent years. It was not until the twentieth century, however, that the study of population, predominantly human population, achieved its math ematical character. The subject of mathematical demography can be viewed from either a deterministic viewpoint or from a stochastic viewpoint. For the sake of brevity, stochastic models are not included in this work. It is, therefore, my intention to consider only established deterministic models in this discussion, starting with the life table as the earliest model, to a generalized matrix model which is developed in this treatise. These deterministic models provide sufficient de velopment and conclusions to formulate sound mathematical population analy sis and estimates of population projections. It should be noted that although the subject of mathematical demography focuses on human populations, the development and results may be applied to any population as long as the preconditions that make the model valid are maintained. Information concerning mathematical demography is at best fragmented.
Author: M. Iannelli
Publisher: SIAM
ISBN: 9780898717488
Category : Mathematics
Languages : en
Pages : 190
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Book Description
Gender-Structured Population Modeling gives a unified presentation of and mathematical framework for modeling population growth by couple formation. It provides an overview of both past and present modeling results. The authors focus on pair formation (marriage) and two-sex models with different forms of the marriage function -- the basis of couple formation -- and discuss which of these forms might make a better choice for a particular population (the United States). The book also provides results on model analysis, gives an up-to-date review of mathematical demography, discusses numerical methods, and puts deterministic modeling of human populations into historical perspective.
Author: John Impagliazzo
Publisher:
ISBN: 9783642823206
Category : Denmark
Languages : en
Pages : 204
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Book Description
