Analysis by Its History

The work is very well illustrated. The book is definitely an analysis text, rather than a history, but a great deal of reliable historical material is included.


Author: Ernst Hairer

Publisher: Springer Science & Business Media

ISBN: 9780387770369

Category: Mathematics

Page: 379

View: 453

This book presents first-year calculus roughly in the order in which it was first discovered. The first two chapters show how the ancient calculations of practical problems led to infinite series, differential and integral calculus and to differential equations. The establishment of mathematical rigour for these subjects in the 19th century for one and several variables is treated in chapters III and IV. Many quotations are included to give the flavor of the history. The text is complemented by a large number of examples, calculations and mathematical pictures and will provide stimulating and enjoyable reading for students, teachers, as well as researchers.

The Differential Calculus with Unusual and Particular Analysis of Its Elementary Principles Band Copious Illustrations of Its Practical Applications

... equal to y , and recount its history . -23 + 5. Required the complete history of y
= . 8 6. Required the complete history of y 15 + 3 a + 2 6 22 ° 7. Required the


Author: John Spare


ISBN: BL:A0018186026

Category: Calculus

Page: 244

View: 273

Mathematics and Its History

From a review of the second edition: "This book covers many interesting topics not usually covered in a present day undergraduate course, as well as certain basic topics such as the development of the calculus and the solution of polynomial ...


Author: John Stillwell

Publisher: Springer Science & Business Media

ISBN: 9781441960528

Category: Mathematics

Page: 662

View: 589

From a review of the second edition: "This book covers many interesting topics not usually covered in a present day undergraduate course, as well as certain basic topics such as the development of the calculus and the solution of polynomial equations. The fact that the topics are introduced in their historical contexts will enable students to better appreciate and understand the mathematical ideas involved...If one constructs a list of topics central to a history course, then they would closely resemble those chosen here." (David Parrott, Australian Mathematical Society) This book offers a collection of historical essays detailing a large variety of mathematical disciplines and issues; it’s accessible to a broad audience. This third edition includes new chapters on simple groups and new sections on alternating groups and the Poincare conjecture. Many more exercises have been added as well as commentary that helps place the exercises in context.

The History of the Theory of Structures

history. of. structural. analysis: 11. introductory. essays. While a tutor between
1977 and 1981 in the theory of ... level, “learning from the history of structural
analysis” means discovering the logic of structural analysis from its history, i. e. ...


Author: Karl-Eugen Kurrer

Publisher: John Wiley & Sons

ISBN: 9783433601341

Category: Technology & Engineering

Page: 848

View: 880

This book traces the evolution of theory of structures and strength of materials - the development of the geometrical thinking of the Renaissance to become the fundamental engineering science discipline rooted in classical mechanics. Starting with the strength experiments of Leonardo da Vinci and Galileo, the author examines the emergence of individual structural analysis methods and their formation into theory of structures in the 19th century. For the first time, a book of this kind outlines the development from classical theory of structures to the structural mechanics and computational mechanics of the 20th century. In doing so, the author has managed to bring alive the differences between the players with respect to their engineering and scientific profiles and personalities, and to create an understanding for the social context. Brief insights into common methods of analysis, backed up by historical details, help the reader gain an understanding of the history of structural mechanics from the standpoint of modern engineering practice. A total of 175 brief biographies of important personalities in civil and structural engineering as well as structural mechanics plus an extensive bibliography round off this work.

Empirico Statistical Analysis of Narrative Material and its Applications to Historical Dating

The global chronological diagram and the "modern textbook" of ancient and
medieval history Before coming to the thorough analysis of historical texts for the
purpose of discovering and systematizing duplicates, we have to construct as ...


Author: A.T. Fomenko

Publisher: Springer Science & Business Media

ISBN: 0792326040

Category: History

Page: 212

View: 138

These two volumes which concern mathematical statistical chronology represent a major, unique work and are the first of its kind published in the English language. A comprehensive set of mathematical and statistical techniques is presented for the analysis of chronological data. These include, as main tool, the means to compare texts and other sequential data and the ability to judge them in terms of similarity and, hence, closeness. These techniques constitute a new important trend in applied statistics. Volume I concentrates mainly on the development of the mathematical statistical tools and their application to astronomical data, including the Almagest and simulated data (to test the validity of the methods). Substantial material dealing with historical data and chronology is also included. Volume II concentrates on the application of these tools to narrative texts and ancient and medieval records (such as Egyptian, Byzantine, Roman, Greek, Babylonian, etc.). An astonishing wealth of historical data is considered. The conclusions which are drawn concerning the accepted chronological dating of events in ancient history will certainly provoke controversy and serious debate. These two volumes provide the necessary background and material for intelligent participation in such debates. For statisticians, historians, astronomers, archaeologists, and others with an interest in the integrity of historical dating and the means to analyze this.

The Mystery of Culture Contacts Historical Reconstruction and Text Analysis

We begin with material from Fore ( Papua New Guinea ) , where Pike ( 1963 ) got
his initial insight about the field ... that the big bulk of this work on matrix
descriptive analysis , with its underlying implications for historical morphological
matrix ...


Author: Kenneth Lee Pike

Publisher: Georgetown University Press

ISBN: 0878402950

Category: Language Arts & Disciplines

Page: 84

View: 368

Offers three previously unpublished essays that apply theoretical linguistic research to the areas of historical linguistics, cross-cultural communications, and text analysis.

History of the Language Sciences Geschichte der Sprachwissenschaften Histoire des sciences du langage 1 Teilband

Obviously, the circumscription of the field itself is one of the topics to be dealt with
in the analysis of its history, as will the subdivision of the field into various
branches as well as its connection with other disciplines. In most branches of ...


Author: Sylvain Auroux

Publisher: Walter de Gruyter

ISBN: 9783110194005

Category: Language Arts & Disciplines

Page: 1154

View: 864

Writing in English, German, or French, more than 300 authors provide a historical description of the beginnings and of the early and subsequent development of thinking about language and languages within the relevant historical context. The gradually emerging institutions concerned with the study, organisation, documentation, and distribution are considered as well as those dealing with the utilisation of language related knowledge. Special emphasis has been placed on related disciplines, such as rhetoric, the philosophy of language, cognitive psychology, logic and neurological science.

A History and Critical Analysis of Blake s 7 the 1978 1981 British Television Space Adventure

In “Seek-Locate-Destroy,” Blake wears a forest-green smock with a hood, and his
giant friend Gan wears a suit resembling a monk's robe, undeniably recalling
Friar Tuck. In combination with clever camerawork, such unique visual touches ...


Author: John Kenneth Muir

Publisher: McFarland

ISBN: 9781476604930

Category: Performing Arts

Page: 223

View: 326

Blake’s 7, Terry Nation’s science fiction tale of cosmic freedom fighters, became a hit series in Great Britain when it premiered in 1978. Eight years later, the show quickly became a cult program in America. A dramatization of futuristic outlaw heroes who defend the innocent from both alien and human conquering forces, the series might better be said to be equal parts Robin Hood and The Magnificent Seven. The series defied traditional genre elements of science fiction television, and developed the concept of the continual “story arc” years before such shows as Babylon 5 and Deep Space Nine. This book provides a critical history and episode guide for Blake’s 7, including commentaries for all 52 episodes. Also included are analytical essays on the show, dealing with such topics as themes, imagery and story arc; a consideration of the series as a futuristic Robin Hood myth; cinematography and visual effects; and an overview of Blake’s 7 in books, comics and videos. A detailed appendix lists the genre conventions found in the series. The author also includes information about Blake’s 7 fan clubs and Internet sites.

Policy analysis in Germany

This introductory chapter gives a short overview of the discipline of policy
analysis in Germany, its history and its main characteristics. An argument running
as a common thread throughout the book is thereby developed, namely, that
there is a ...


Author: Blum, Sonja

Publisher: Policy Press

ISBN: 9781447306252

Category: Political Science

Page: 296

View: 738

This comprehensive study, part of the International Library of Policy Analysis, brings together for the first time a systemic overview of policy analysis activities in Germany. Written by leading experts in the field – including informed practitioners – it outlines the development of the discipline, identifies its role in academic education and research, and examines its styles and methods. The book also focuses on the role of policy analysis for governments and parliaments, for parties, social partners, and interest groups. By offering a rich and timely analysis of policy analysis in Germany, this book is a valuable resource for academic exchange and for teaching, particularly in the fields of political science, social sciences, economics and geography. Moreover, by its broad, comprehensive understanding of ‘policy analysis’, the book will be of practical relevance and shape the debate for the future development of policy analysis in Germany and the different spheres where it is practised.

An analysis and summary of New Testament history

It has been therefore thought advisable to give a more detailed account of the
divisions of this territory than its historical importance would otherwise warrant .
Peræa in its most extended sense seems to have included the following districts :
1 .


Author: James Talboys Wheeler


ISBN: OXFORD:600098828



View: 949

A History of Analysis

Introduction Analysis as an independent subject was created in the 17th century
during the scientific revolution . Kepler , Galileo , Descartes , Fermat , Huygens ,
Newton and Leibniz , to mention but a few important names , contributed to its ...


Author: Hans Niels Jahnke

Publisher: American Mathematical Soc.

ISBN: 0821890506

Category: Mathematics

Page: 422

View: 289

The book describes the conceptual development of analysis from antiquity up to the end of the nineteenth century. Intra-theoretical processes are considered as well as the influence of applied problems and biographical and philosophical backgrounds. The book has thirteen chapters, each written by a leading specialist in the history of mathematics. The first ten chapters tell the story in its temporal succession (narrative order) whereas the last three chapters give surveys on the history of differential equations, the calculus of variations, and functional analysis. Special features of the book are a separate chapter on the development of the theory of complex functions in the nineteenth century and two chapters on the influence of physics on analysis. One is about the origins of analytical mechanics and one treats boundary value problems of mathematical physics (especially potential theory) in the nineteenth century. The authors present the history of analysis as near to the historical sources as is possible from the point of view of readability. The book includes comprehensive bibliographies, providing useful listings of the original literature. Mathematical examples are carefully chosen so that readers with a very modest background in mathematics may follow them.

Theory is History

The selected texts focus on a central concept which can be concisely formulated
as ''Theory is History''. The theory of capitalism can only be formulated on the
basis of an analysis of its history. In contrast, bourgeois thinking replaces the ...


Author: Samir Amin

Publisher: Springer Science & Business Media

ISBN: 9783319038162

Category: Political Science

Page: 143

View: 301

This book focuses on a central concept that “Theory is History”, as the theory of capitalism can only be formulated on the basis of an analysis of its history. In contrast, bourgeois thinking replaces the analysis of historical capitalism with an abstract theory without any links to reality. “Economics”, which is the theory of an imaginary system, then becomes an apologia intended to give legitimacy to the behaviour of the owners of capital. The author pays special attention to the globalization of the law of value. The individual chapters illustrate the author’s thesis by focusing on the links between capital and land ownership, between modernity and religious interpretation, and on questions of the global expansion of capitalism, particularly the ways it has evolved in certain countries, in this case Russia and China. This anthology supplements the author’s previous work, centred on the rise of the South—his reading of capitalism focusing on its imperialist nature.

Event History Analysis

Event-history analysis: Its contribution to modeling and causal inference.
Sociological Theory and Methods, 2, 61-82. Yamaguchi, K. (1987b). Models for
comparing mobility tables. American Sociological Review, 52, 482-494.
Yamaguchi, K.


Author: Kazuo Yamaguchi

Publisher: SAGE Publications

ISBN: 9781452215655

Category: Social Science

Page: 182

View: 319

This book provides a systematic introduction to models, methods and applications of event history analysis. Yamaguchi emphasizes 'hands on' information, including the use and misuse of samples, models and covariates in applications, the structural arrangement of input data, the specification of various models in such computer programs as SAS-LOGIST and SPSSX-LOGLINEAR, and the interpretation of parameters estimated from models. The book also explores such significant topics as missing data, hazard rate, Cox's partial likelihood model, survivor function, and discrete-time logit models.

Elements of the History of Mathematics

But it had been prepared for a long time before by the study of numerous
problems of Functional Analysis; and its history cannot be retraced without
indicating, at least summarily, how the study of these problems gradually brought


Author: N. Bourbaki

Publisher: Springer Science & Business Media

ISBN: 3540647678

Category: Mathematics

Page: 301

View: 703

Each volume of Nicolas Bourbakis well-known work, The Elements of Mathematics, contains a section or chapter devoted to the history of the subject. This book collects together those historical segments with an emphasis on the emergence, development, and interaction of the leading ideas of the mathematical theories presented in the Elements. In particular, the book provides a highly readable account of the evolution of algebra, geometry, infinitesimal calculus, and of the concepts of number and structure, from the Babylonian era through to the 20th century.

History of Economic Analysis

In my anxiety to show that the author would not have sent his History to the
publisher without further work upon it, it may be that I have overemphasized the
degree of its incompleteness. In reality, the History was substantially finished.
The three ...


Author: Joseph A. Schumpeter

Publisher: Routledge

ISBN: 9781134838707

Category: Business & Economics

Page: 1312

View: 940

At the time of his death in 1950, Joseph Schumpeter was working on his monumental History of Economic Analysis. Unprecedented in scope, the book was to provide a complete history of economic theory from Ancient Greece to the end of the second world war. A major contribution to the history of ideas as well as to economics, History of Economic Analysis rapidly gained a reputation as a unique and classic work. As well being an economist, Schumpeter was a gifted mathematician, historian, philosopher and psychologist and this is reflected in the multi-disciplinary nature of his great endeavour. Topics addressed include the techniques of economic analysis, contemporaneous developments in other sciences and the sociology of economics. This inclusiveness extends to the periods and individuals who figure in the book. As well as dealing with all of the major economists from Adam Smith to Maynard Keynes, the book considers the economic writings of Plato and Aristotle, of the Medieval Scholastics and of the major European economists. Throughout, Schumpeter perceived economics as a human science and this is reflected in a volume which is lucid and insightful throughout.

Introduction to Calculus and Classical Analysis

in. Mathematics. Omar Hijab Introduction to Calculus and Classical Analysis
Second Edition. Abbott: Understanding Analysis. Anglin: Mathematics: A Concise
History and Philosophy. ... Hairer/Wanner: Analysis by Its History. Readings in ...


Author: Omar Hijab

Publisher: Springer Science & Business Media

ISBN: 9780387693163

Category: Mathematics

Page: 342

View: 328

Intended for an honors calculus course or for an introduction to analysis, this is an ideal text for undergraduate majors since it covers rigorous analysis, computational dexterity, and a breadth of applications. The book contains many remarkable features: * complete avoidance of /epsilon-/delta arguments by using sequences instead * definition of the integral as the area under the graph, while area is defined for every subset of the plane * complete avoidance of complex numbers * heavy emphasis on computational problems * applications from many parts of analysis, e.g. convex conjugates, Cantor set, continued fractions, Bessel functions, the zeta functions, and many more * 344 problems with solutions in the back of the book.

Geschichte Der Sprachwissenschaften

1.1 Definition In this Handbook the term 'history of the language sciences' will be
used to denote the development of ... dealt with in the analysis of its history, as
will the subdivision of the field into various branches as well as its connection
with ...


Author: Sylvain Auroux

Publisher: Walter de Gruyter

ISBN: 3110111039

Category: Historical linguistics

Page: 2893

View: 410

A Concise History and Analysis of All the Principal Styles of Architecture

... a host of architectural writers , who have successively entered the lists as
champions in favor of some new theory ; notwithstanding all which , its history still
continues to be considered enveloped in obscurity , and overshadowed with
doubt .


Author: Edward BOID


ISBN: BL:A0019737577

Category: Architecture

Page: 209

View: 454

Art History

Panofsky described his method as having three stages : first , a concern for the
formal elements of art ; second , the iconographical analysis of its subject matter ;
and third , an iconological analysis to show how the works under consideration ...


Author: Michael Hatt

Publisher: Manchester University Press

ISBN: 0719069599

Category: Art

Page: 250

View: 108

This book provides a lively and stimulating introduction to methodological debates within art history. Offering a lucid account of approaches from Hegel to post-colonialism, the book provides a sense of art history's own history as a discipline from its emergence in the late-eighteenth century to contemporary debates.