Author: S. G. Pyatkov
Publisher: Walter de Gruyter
Keywords: problems, nonclassical, posed, series, iii, inverse, operator, theory
Number of Pages: 348
Published: 2002-05
List price: $330.00
ISBN-10: 9067643637
ISBN-13: 9789067643634

This monograph deals with mathematical methods applicable to studying nonclassical problems of mathematical physics. Many problems of this type are reduced to equations, where the operators involved are noninvertible. In this case, the author uses special decompositions of an operator, generalized resolvents, semigroups with kernels, and some other approaches. The simplest model of this type is the first order operator-differential equation with a noninvertible operator in front of the derivative. The corresponding spectral problems arising here are the well-known problems for linear pencils.

Authors:Jan Awrejcewicz, Vadim A. Krysko,
Publisher: Springer
Keywords: nonlinear, problems, thermoelastic, nonclassical
Number of Pages: 428
Published: 2002-12-16
List price: $119.00
ISBN-10: 3540438807
ISBN-13: 9783540438809

This monograph, addressed both to researchers and engineers, is devoted to nonclassical thermoelastic modeling of the nonlinear dynamics of shells. Differential equations of different dimensionality and different type have to be combined and nonlinearities of different geometrical, physical or elasto-plastic categories are addressed. Special emphasis is given to the Bubnov-Galerkin method, which can be applied to many problems in the theory of plates and shells, even those with very complex geometries, holes, and various boundary conditions. The authors make every effort to keep the text int

Author: Eric Schechter
Publisher: Princeton University Press
Keywords: mathematics, propositions, introduction, logics, nonclassical, classical
Number of Pages: 536
Published: 2005-08-08
List price: $92.50
ISBN-10: 0691122792
ISBN-13: 9780691122793

So-called classical logic--the logic developed in the early twentieth century by Gottlob Frege, Bertrand Russell, and others--is computationally the simplest of the major logics, and it is adequate for the needs of most mathematicians. But it is just one of the many kinds of reasoning in everyday thought. Consequently, when presented by itself--as in most introductory texts on logic--it seems arbitrary and unnatural to students new to the subject. In Classical and Nonclassical Logics, Eric Schechter introduces classical logic alongside constructive, relevant, comparative, and other nonclassica

Authors:Jungsang Kim, Seema Somani, Yoshihisa Yamamoto,
Publisher: Springer
Keywords: laser, semiconductor, light, nonclassical
Number of Pages: 244
Published: 2001-10-02
List price: $179.00
ISBN-10: 3540677178
ISBN-13: 9783540677178

Discusses recent research activities in nonclassical light generation based on semiconductor devices.

Author: A. S. Apartsyn
Publisher: Walter de Gruyter
Keywords: inverse, posed, problems, series, kind, first, linear, volterra, equations, nonclassical
Number of Pages: 168
Published: 2003-04
List price: $160.00
ISBN-10: 9067643750
ISBN-13: 9789067643757

This monograph in the Inverse and Ill-Posed Problems Series deals with linear integral Volterra equations of the first kind with variable upper and lower limits of integration. Volterra operators of this type are the basic operators for integral models of dynamic systems. The corresponding conventionally well-posed problems were subject of systematic study: existence and uniqueness theorems were proved, estimates of the inverse operator norms for suitable pairs of functional spaces were obtained, etc. Consideration was also given to quadrature methods for the numerical solution of such equatio

Author: Arkady Plotnitsky
Publisher: University of Michigan Press
Keywords: science, cultures, studies, literature, thought, nonclassical, unknowable, modern, knowable
Number of Pages: 328
Published: 2002-03-06
List price: $29.95
ISBN-10: 0472067974
ISBN-13: 9780472067978

This book investigates the relationships between modern mathematics and science (in particular, quantum mechanics) and the mode of theorizing that Arkady Plotnitsky defines as "nonclassical" and identifies in the work of Bohr, Heisenberg, Lacan, and Derrida. Plotinsky argues that their scientific and philosophical works radically redefined the nature and scope of our knowledge. Building upon their ideas, the book finds a new, nonclassical character in the "dream of great interconnections" Bohr described, thereby engaging with recent debates about the "two cultures" (the humanities and the scie

Authors:Dov M. Gabbay, Dimitrij Skvortsov, Valentin Shehtman
Publisher: Elsevier Science
Keywords: logic, foundations, mathematics, studies, volume, nonclassical, quantification
Number of Pages: 640
Published: 2009-08-10
List price: $205.00
ISBN-10: 0444520120
ISBN-13: 9780444520128

Quantification and modalities have always been topics of great interest for logicians. These two themes emerged from philosophy andlanguage in ancient times; they were studied by traditional informalmethods until the 20th century. In the last century the tools becamehighly mathematical, and both modal logic and quantification found numerous applications in Computer Science. At the same time many other kinds of nonclassical logics were investigated and applied to Computer Science. Although there exist several good books in propositional modal logics, this book is the first detailed monograph in