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We come to an understanding of mathematics by solving problems. This volume contains close on 600 problems to help improve and increase your understanding of continuous functions, derivable functions and series of functions.
Mathematics --- Continuity. --- Continuum --- Indivisibles (Philosophy) --- Philosophy
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Indivisibles (Philosophy) --- Early works to 1800. --- -Philosophy --- Continuity --- Early works to 1800 --- -Early works to 1800 --- Philosophy --- Indivisibles (Philosophy) - Early works to 1800.
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Some of the results on automatic continuity of intertwining operators and homomorphisms that were obtained between 1960 and 1973 are here collected together to provide a detailed discussion of the subject. The book will be appreciated by graduate students of functional analysis who already have a good foundation in this and in the theory of Banach algebras.
Linear operators. --- Continuity. --- Continuum --- Mathematics --- Indivisibles (Philosophy) --- Linear maps --- Maps, Linear --- Operators, Linear --- Operator theory --- Philosophy
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The book analyses the differences between the mathematical interpretation and the phenomenological intuition of the continuum. The basic idea is that the continuity of the experience of space and time originates in phenomenic movement. The problem of consciousness and of the spaces of representation is related to the primary processes of perception. Conceived as an interplay between cognitive science, linguistics and philosophy, the book presents a conceptual framework based on a dynamic and experimental approach to the problem of the continuum. Besides presenting the primitives of a theory of cognitive space and time, it present a theory of the observer, analyzing the relationship among perspective, points of view and unity of consciousness. The book's chapters deal with the dynamic elaboration and recognition of forms from the lower to the higher processes in the various perceptual fields. Experimental analysis from visual, auditory and tactile perception outline the basic structures of intentionality and its counterpart in language and gesture. (Series B).
Continuity. --- Perception (Philosophy). --- PSYCHOLOGY --- Cognitive Psychology & Cognition --- Philosophy --- Continuum --- Mathematics --- Indivisibles (Philosophy) --- Perception (Philosophy)
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This book is about regularity properties of functional equations. In the second part of his fifth problem, Hilbert asked, concerning functional equations, "In how far are the assertions which we can make in the case of differentiable functions true under proper modifications without this assumption?” This book contains, in a unified fashion, most of the modern results about regularity of non-composite functional equations with several variables. These results show that "weak” regularity properties, say measurability or continuity, of solutions imply that they are in C[infinity], and hence the equation can be reduced to a differential equation. A long introduction highlights the basic ideas for beginners. Several applications are also included. Audience This book is intended for researchers in the fields of mathematical analysis, applied mathematics, theoretical economics, and statistics.
Continuity. --- Functional equations. --- Equations, Functional --- Functional analysis --- Continuum --- Mathematics --- Indivisibles (Philosophy) --- Philosophy --- Difference and Functional Equations. --- Difference equations. --- Calculus of differences --- Differences, Calculus of --- Equations, Difference
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Le présent ouvrage rend compte du colloque Continu et discontinu dans l’espace géographique tenu à la «Maison des Sciences de la Ville» de Tours en novembre 2002. On n’y lira pas le grand combat des « continuistes et des discontinuistes » mais une occasion de dialogue entre sciences de la nature et sciences sociales pour tenter de penser les deux concepts dans leur opposition, forme classique, et aussi dans leur complémentarité, ce qui est plus novateur. Au départ, un ensemble de travaux menées à l’initiative de Michel Lecompte autour du Bassin méditerranéen et dans les Alpes a ouvert la voie à une relecture de la géographique de la végétation aux échelles moyennes de l’espace biophysique. La « phytoclimatologie dynamique » qui en est issue a mis en lumière l’importance de l’analyse des configurations spatiales, du monde de variation - continu ou discontinu - des phénomènes biologiques et physiques dans l’espace géographique. Cette interrogation participe à celle de la géographie, considérée comme un tout, auquel d’autres champs de réflexion se trouvent, de fait, associés, puisque l’espace géographique n’est pas seulement affaire de géographes. De cette expérience, de la volonté d’en rendre compte à l’ensemble de la communauté des géographes et, au-delà, à tous ceux que l’organisation de l’espace géographique ne laisse pas indifférent, est ainsi né le désir de réunir les personnes qui ont pu se poser des questions semblables dans l’autres domaines que celui de la biogéographie. Après une longue introduction, l’ouvrage propose vingt textes de vingt-huit auteurs (surtout géographes mais aussi écologues, archéologue …). Les écrits sont certes variés puisque la géomorphologie fluviale côtoie l’urbain, la dimension technique la fête, la frontière les réseaux et la cartographie les représentations, mais toujours accordées au sujet, débordant largement du factuel pour proposer des réflexions riches. Le découpage en quatre parties permet un cheminement cohérent. D’abord,…
Human geography --- Continuity --- Boundaries --- Human territoriality --- Anthropology --- Social Sciences --- Anthropogeography & Human Ecology --- Territorial behavior --- Territoriality, Human --- Continuum --- Ethnology --- Spatial behavior --- Mathematics --- Indivisibles (Philosophy) --- Philosophy --- Geography - Territories - Planning.
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Paper mosaics, silk screen prints, fold-outs, silhouettes, and other types of cards to make yourself.
Continuity. --- Chain of being (Philosophy) --- Great chain of being (Philosophy) --- Continuity --- Cosmology --- Creation --- Ontology --- Philosophy --- Continuum --- Mathematics --- Indivisibles (Philosophy) --- Idea (Philosophy) --- Ontology. --- History. --- Chain of being (Philosophy).
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Contributors: Robert Spaemann, Peter Koslowski, Norbert Horn, Fritz Hartmann, Hinderk M. Emrich, Friedrich Cramer, Richard Schenk, Klaus-M. Kodalle, Ulrich Steinvorth, Jean Greisch.
Promises --- Trust --- Continuity --- Persons --- Identity (Psychology) --- Ethics --- Individuals (Persons) --- People --- Individualism --- Human beings --- Personality --- Philosophical anthropology --- Personal identity --- Self --- Ego (Psychology) --- Individuality --- Trust (Psychology) --- Attitude (Psychology) --- Emotions --- Continuum --- Mathematics --- Indivisibles (Philosophy) --- Philosophy --- Promises - Congresses --- Trust - Congresses --- Continuity - Congresses --- Persons - Congresses
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Criticism. --- Continuity. --- Criticism --- Continuity --- American Literature --- English --- Languages & Literatures --- Continuum --- Mathematics --- Indivisibles (Philosophy) --- Evaluation of literature --- Literary criticism --- Literature --- Rhetoric --- Aesthetics --- Philosophy --- Technique --- Evaluation --- More, Paul Elmer, --- Knowledge --- Literature.
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Functional analysis --- Banach algebras. --- Banach, Algèbres de --- Ideals (Algebra) --- Idéaux (algèbre) --- Modules (Algebra) --- Modules (algèbre) --- Continuity. --- Banach algebras --- Continuity --- Finite number systems --- Modular systems (Algebra) --- Algebra --- Finite groups --- Rings (Algebra) --- Algebraic ideals --- Algebraic fields --- Continuum --- Mathematics --- Indivisibles (Philosophy) --- Algebras, Banach --- Banach rings --- Metric rings --- Normed rings --- Banach spaces --- Topological algebras --- Philosophy --- Banach, Algèbres de.
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