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Jan A Aertsen - One of the best experts on this subject based on the ideXlab platform.

  • chapter thirteen the doctrine of the Transcendentals in renaissance philosophy
    2012
    Co-Authors: Jan A Aertsen
    Abstract:

    The origin of transcendental thought is to be sought in medieval philosophy. This book provides for the first time a complete history of the doctrine of the Transcendentals and shows its importance for the understanding of philosophy in the Middle Ages. Winner of the Journal of the History of Philosophy Book Prize competition for the best book in the history of western philosophy published in 2013.

  • chapter five albertus magnus different traditions of thought and the Transcendentals
    2012
    Co-Authors: Jan A Aertsen
    Abstract:

    The origin of transcendental thought is to be sought in medieval philosophy. This book provides for the first time a complete history of the doctrine of the Transcendentals and shows its importance for the understanding of philosophy in the Middle Ages. Winner of the Journal of the History of Philosophy Book Prize competition for the best book in the history of western philosophy published in 2013.

  • chapter two conditions presuppositions and sources of a doctrine of the Transcendentals
    2012
    Co-Authors: Jan A Aertsen
    Abstract:

    The origin of transcendental thought is to be sought in medieval philosophy. This book provides for the first time a complete history of the doctrine of the Transcendentals and shows its importance for the understanding of philosophy in the Middle Ages. Winner of the Journal of the History of Philosophy Book Prize competition for the best book in the history of western philosophy published in 2013.

  • chapter three the beginning of the doctrine of the Transcendentals ca 1225 philip the chancellor
    2012
    Co-Authors: Jan A Aertsen
    Abstract:

    The origin of transcendental thought is to be sought in medieval philosophy. This book provides for the first time a complete history of the doctrine of the Transcendentals and shows its importance for the understanding of philosophy in the Middle Ages. Winner of the Journal of the History of Philosophy Book Prize competition for the best book in the history of western philosophy published in 2013.

  • chapter eleven the doctrine of the Transcendentals in nominalism
    2012
    Co-Authors: Jan A Aertsen
    Abstract:

    The medieval doctrine of the Transcendentals is closely connected with a metaphysical conception of reality. In some studies suggested that "nominalism" meant the beginning of the end of metaphysics. John Buridan a medieval philosopher whose modernity claimed because of an alleged "agreement" between his metaphysics and Immanuel Kant's transcendental philosophy. In Buridan's thought a transformation would have occurred from a transcendental consideration in the medieval sense to a transcendental consideration in the Kantian sense, according to which objectivity is founded on the human intellect itself. The consequence was that "the transcendental consideration in the medieval sense possesses only a nominal but no real significance". Buridan adopts the main "nominalist" innovation of the doctrine of the Transcendentals, the logico-semantic approach. The subject of metaphysics is the term "being", the convertibility of "being" and "one" is explained by the theory of supposition, and their difference is understood according to the connotation model.Keywords:Buridan; doctrine; medieval sense; metaphysics; nominalism; philosophy; Transcendentals

Jan Aertsen - One of the best experts on this subject based on the ideXlab platform.

  • medieval philosophy and the Transcendentals the case of thomas aquinas
    1996
    Co-Authors: Jan Aertsen
    Abstract:

    Students of Thomas Aquinas have so far lacked a comprehensive study of his doctrine of the Transcendentals. This volume fills this lacuna, showing the fundamental character of the notions of being, one, true and good for his thought. The book inquires into the beginnings of the doctrine in the thirteenth century and explains the relation of the transcendental way of thought to Aquinas's conception of metaphysics. It analyzes "Being," "One," "True," "Good" and "Beautiful" individually and discusses their importance for the philosophical knowledge of God. "Medieval Philosophy and the Transcendentals: The Case of Thomas Aquinas" is intended as a contribution to the question "What is philosophy in the Middle Ages?." It argues that the doctrine of the Transcendentals is essential for understanding medieval philosophy.

Arnaud Tisserand - One of the best experts on this subject based on the ideXlab platform.

  • Toward correctly rounded Transcendentals
    IEEE Transactions on Computers, 1998
    Co-Authors: V. Lefevre, J M Muller, Arnaud Tisserand
    Abstract:

    The Table Maker's Dilemma is the problem of always getting correctly rounded results when computing the elementary functions. After a brief presentation of this problem, we present new developments that have helped us to solve this problem for the double-precision exponential function in a small domain. These new results show that this problem can be solved, at least for the double-precision format, for the most usual functions.

  • Towards correctly rounded Transcendentals
    Proceedings 13th IEEE Sympsoium on Computer Arithmetic, 1997
    Co-Authors: V. Lefevre, J M Muller, Arnaud Tisserand
    Abstract:

    The Table Maker's Dilemma is the problem of always getting exactly rounded results when computing the elementary functions. After a brief presentation of this problem, we present new developments that helped us to solve this problem for the double precision exponential function in a small domain. These new results show that this problem can be solved, at least for the double precision format, for the most usual functions.

James Stewart - One of the best experts on this subject based on the ideXlab platform.

  • single variable essential calculus early Transcendentals
    2006
    Co-Authors: James Stewart
    Abstract:

    This book is a response to those instructors who feel that calculus textbooks are too big. In writing the book James Stewart asked himself: What is essential for a three-semester calculus course for scientists and engineers? Stewart's SINGLE VARIABLE ESSENTIAL CALCULUS: EARLY Transcendentals offers a concise approach to teaching calculus, focusing on major concepts and supporting those with precise definitions, patient explanations, and carefully graded problems. SINGLE VARIABLE ESSENTIAL CALCULUS: EARLY Transcendentals is only 850 pages-two-thirds the size of Stewart's other calculus texts (CALCULUS, FIFTH EDITION AND CALCULUS, EARLY Transcendentals, Fifth Edition)-yet it contains almost all of the same topics. The author achieved this relative brevity mainly by condensing the exposition and by putting some of the features on the website www.StewartCalculus.com. Despite the reduced size of the book, there is still a modern flavor: Conceptual understanding and technology are not neglected, though they are not as prominent as in Stewart's other books. SINGLE VARIABLE ESSENTIAL CALCULUS: EARLY Transcendentals has been written with the same attention to detail, eye for innovation, and meticulous accuracy that have made Stewart's textbooks the best-selling calculus texts in the world

  • essential calculus early Transcendentals
    2006
    Co-Authors: James Stewart
    Abstract:

    1. FUNCTIONS AND LIMITS. Functions and Their Representations. A Catalog of Essential Functions. The Limit of a Function. Calculating Limits. Continuity. Limits Involving Infinity. Review. 2. DERIVATIVES. Derivatives and Rates of Change. The Derivative as a Function. Basic Differentiation Formulas. The Product and Quotient Rules. The Chain Rule. Implicit Differentiation. Related Rates. Linear Approximations and Differentials. Review. 3. INVERSE FUNCTIONS: EXPONENTIAL, LOGARITHMIC, AND INVERSE TRIGONOMETRIC FUNCTIONS. Exponential Functions. Inverse Functions and Logarithms. Derivatives of Logarithmic and Exponential Functions. Exponential Growth and Decay. Inverse Trigonometric Functions. Hyperbolic Functions. Indeterminate Forms and l'Hospital's Rule. Review. 4. APPLICATIONS OF DIFFERENTIATION. Maximum and Minimum Values. The Mean Value Theorem. Derivatives and the Shapes of Graphs. Curve Sketching. Optimization Problems. Newton's Method. Antiderivatives. Review. 5. INTEGRALS. Areas and Distances. The Definite Integral. Evaluating Definite Integrals. The Fundamental Theorem of Calculus. The Substitution Rule. Review. 6. TECHNIQUES OF INTEGRATION. Integration by Parts. Trigonometric Integrals and Substitutions. Partial Fractions. Integration with Tables and Computer Algebra Systems. Approximate Integration. Improper Integrals. Review. 7. APPLICATIONS OF INTEGRATION. Areas between Curves. Volumes. Volumes by Cylindrical Shells. Arc Length. Applications to Physics and Engineering. Differential Equations. Review. 8. SERIES. Sequences. Series. The Integral and Comparison Tests. Other Convergence Tests. Power Series. Representing Functions as Power Series. Taylor and Maclaurin Series. Applications of Taylor Polynomials. Review. 9. PARAMETRIC EQUATIONS AND POLAR COORDINATES . Parametric Curves. Calculus with Parametric Curves. Polar Coordinates. Areas and Lengths in Polar Coordinates. Conic Sections in Polar Coordinates. Review. 10. VECTORS AND THE GEOMETRY OF SPACE. Three-Dimensional Coordinate Systems. Vectors. The Dot Product. The Cross Product. Equations of Lines and Planes. Cylinders and Quadric Surfaces. Vector Functions and Space Curves. Arc Length and Curvature. Motion in Space: Velocity and Acceleration. Review. 11. PARTIAL DERIVATIVES. Functions of Several Variables. Limits and Continuity. Partial Derivatives. Tangent Planes and Linear Approximations. The Chain Rule. Directional Derivatives and the Gradient Vector. Maximum and Minimum Values. Lagrange Multipliers. Review. 12. MULTIPLE INTEGRALS. Double Integrals over Rectangles. Double Integrals over General Regions. Double Integrals in Polar Coordinates. Applications of Double Integrals. Triple Integrals. Triple Integrals in Cylindrical Coordinates. Triple Integrals in Spherical Coordinates. Change of Variables in Multiple Integrals. Review. 13. VECTOR CALCULUS. Vector Fields. Line Integrals. The Fundamental Theorem for Line Integrals. Green's Theorem. Curl and Divergence. Parametric Surfaces and Their Areas. Surface Integrals. Stokes' Theorem. The Divergence Theorem. Review. Appendix A: Trigonometry. Appendix B: Proofs. Appendix C: Sigma Notation. Appendix D: The Logarithm Defined as an Integral.

V. Lefevre - One of the best experts on this subject based on the ideXlab platform.

  • Toward correctly rounded Transcendentals
    IEEE Transactions on Computers, 1998
    Co-Authors: V. Lefevre, J M Muller, Arnaud Tisserand
    Abstract:

    The Table Maker's Dilemma is the problem of always getting correctly rounded results when computing the elementary functions. After a brief presentation of this problem, we present new developments that have helped us to solve this problem for the double-precision exponential function in a small domain. These new results show that this problem can be solved, at least for the double-precision format, for the most usual functions.

  • Towards correctly rounded Transcendentals
    Proceedings 13th IEEE Sympsoium on Computer Arithmetic, 1997
    Co-Authors: V. Lefevre, J M Muller, Arnaud Tisserand
    Abstract:

    The Table Maker's Dilemma is the problem of always getting exactly rounded results when computing the elementary functions. After a brief presentation of this problem, we present new developments that helped us to solve this problem for the double precision exponential function in a small domain. These new results show that this problem can be solved, at least for the double precision format, for the most usual functions.