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Author: Hans Niels Jahnke Publisher: American Mathematical Soc. ISBN: 0821826239 Category : Mathematics Languages : en Pages : 434
Book Description
Analysis as an independent subject was created as part of the scientific revolution in the seventeenth century. Kepler, Galileo, Descartes, Fermat, Huygens, Newton, and Leibniz, to name but a few, contributed to its genesis. Since the end of the seventeenth century, the historical progress of mathematical analysis has displayed unique vitality and momentum. No other mathematical field has so profoundly influenced the development of modern scientific thinking. Describing this multidimensional historical development requires an in-depth discussion which includes a reconstruction of general trends and an examination of the specific problems. This volume is designed as a collective work of authors who are proven experts in the history of mathematics. It clarifies the conceptual change that analysis underwent during its development while elucidating the influence of specific applications and describing the relevance of biographical and philosophical backgrounds. The first ten chapters of the book outline chronological development and the last three chapters survey the history of differential equations, the calculus of variations, and functional analysis. Special features 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 the development of boundary-value problems of mathematical physics (especially potential theory) in the nineteenth century. The book presents an accurate and very readable account of the history of analysis. Each chapter provides a comprehensive bibliography. Mathematical examples have been carefully chosen so that readers with a modest background in mathematics can follow them. It is suitable for mathematical historians and a general mathematical audience.
Author: Hans Niels Jahnke Publisher: American Mathematical Soc. ISBN: 0821826239 Category : Mathematics Languages : en Pages : 434
Book Description
Analysis as an independent subject was created as part of the scientific revolution in the seventeenth century. Kepler, Galileo, Descartes, Fermat, Huygens, Newton, and Leibniz, to name but a few, contributed to its genesis. Since the end of the seventeenth century, the historical progress of mathematical analysis has displayed unique vitality and momentum. No other mathematical field has so profoundly influenced the development of modern scientific thinking. Describing this multidimensional historical development requires an in-depth discussion which includes a reconstruction of general trends and an examination of the specific problems. This volume is designed as a collective work of authors who are proven experts in the history of mathematics. It clarifies the conceptual change that analysis underwent during its development while elucidating the influence of specific applications and describing the relevance of biographical and philosophical backgrounds. The first ten chapters of the book outline chronological development and the last three chapters survey the history of differential equations, the calculus of variations, and functional analysis. Special features 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 the development of boundary-value problems of mathematical physics (especially potential theory) in the nineteenth century. The book presents an accurate and very readable account of the history of analysis. Each chapter provides a comprehensive bibliography. Mathematical examples have been carefully chosen so that readers with a modest background in mathematics can follow them. It is suitable for mathematical historians and a general mathematical audience.
Author: Nicholas Faulkner Publisher: Encyclopaedia Britannica ISBN: 1538300389 Category : Juvenile Nonfiction Languages : en Pages : 265
Book Description
Readers learn how calculating and manipulating the unknown has been the enterprise of the field of algebra since its earliest inception in Babylon and ancient Egypt. Trigonometry draws on principles presented in algebra and uses angle measurements to elaborate on geometric calculations. Essential to further mathematical and scientific study, both algebra and trigonometry provide crucial tools in managing variables and understanding the relationships between them. This intriguing and enlightening volume chronicles their respective histories while addressing the curriculum requirements of both disciplines.
Author: William L. Hosch Associate Editor, Science and Technology Publisher: The Rosen Publishing Group, Inc ISBN: 1615301135 Category : Juvenile Nonfiction Languages : en Pages : 281
Book Description
Presents the concepts and applications of algebra and trigonometry, including information on the people behind the math and explanations to enhance understanding.
Author: Robert Marty Publisher: John Benjamins Publishing ISBN: 9027278237 Category : Philosophy Languages : en Pages : 429
Book Description
La classification des signes de C.S. Peirce en icones, indices et symboles est universellement reconnue. Est-ce le resultat d'une heureuse rencontre ou la preuve de la pertinence du système de pensée qui l'a produite? Est-ce l'absence d'une présentation scientifique de la sémiotique de Peirce qui autorise cette interrogation? Cet essai montre précisément, au moyen d'une formalisation qui épouse au plus près le contenu des manuscrits de Peirce, la possibilité d'approcher scientifiquement les phénomènes sémiotiques. Partant d'une formalisation de la perception en termes de structures relationnelles, l'auteur réconstruit l'ensemble des conceptions phénoménologiques et sémiotiques de C.S. Peirce, retrouve et discute toutes ses taxinomies et va au-delà en montrant l'existence de structures d'ordre naturelles (treillis) sur les ensembles de classes de signes. Une méthodologie d'analyse des signes complexes en découle et est appliquée notamment a la théâtrologie, l'idéologie, l'épistémologie, l'ethnométhodologie...La semiosis est décrite comme un processus impliquant des communautés humaines par le biais des institutions et des habitus. Une annexe rassemble 76 textes de Peirce définissant le signe dont un grand nombre sont inedits.
Author: Mohammed Boulagouaz Publisher: CRC Press ISBN: 9780203903889 Category : Mathematics Languages : en Pages : 306
Book Description
This study demonstrates the key manipulations surrounding Brauer groups, graded rings, group representations, ideal classes of number fields, p-adic differential equations, and rationality problems of invariant fields - displaying a command of the most advanced methods in algebra. It describes new developments in noncommutative valuation theory and
Author: Henri Bourlès Publisher: Springer Science & Business Media ISBN: 3642197264 Category : Technology & Engineering Languages : en Pages : 653
Book Description
The aim of this book is to propose a new approach to analysis and control of linear time-varying systems. These systems are defined in an intrinsic way, i.e., not by a particular representation (e.g., a transfer matrix or a state-space form) but as they are actually. The system equations, derived, e.g., from the laws of physics, are gathered to form an intrinsic mathematical object, namely a finitely presented module over a ring of operators. This is strongly connected with the engineering point of view, according to which a system is not a specific set of equations but an object of the material world which can be described by equivalent sets of equations. This viewpoint makes it possible to formulate and solve efficiently several key problems of the theory of control in the case of linear time-varying systems. The solutions are based on algebraic analysis. This book, written for engineers, is also useful for mathematicians since it shows how algebraic analysis can be applied to solve engineering problems. Henri Bourlès is a Professor and holds the industrial automation chair at the Conservatoire national des arts et métiers in France. He has been teaching automation for over 20 years in engineering and graduate schools. Bogdan Marinescu is currently research engineer at the French Transmission System Operator (RTE) and Associate Professor at SATIE-Ecole Normale Supérieure de Cachan.
Author: Hans Niels Jahnke
Author: Hans Niels Jahnke
Author: 
Author: 
Author: Nicholas Faulkner
Author: New York (N.Y.). City College. Library
Author: William L. Hosch Associate Editor, Science and Technology
Author: Robert Marty
Author: Mohammed Boulagouaz
Author: Boston Mass, Athenaeum, libr
Author: Henri Bourlès