Suzuki, TakashiOverview
Publication Timeline
Most widely held works by
Takashi Suzuki
General equilibrium analysis of production and increasing returns
by Takashi Suzuki
(
)
15 editions published between 2004 and 2009 in English and held by 1,115 WorldCat member libraries worldwide The scope of the general equilibrium (GE) theory has so far been limited to the Walrasian tradition. Indeed, the theories of competitive equilibria and the core are nothing but the modern mathematical analysis of the economic ideas due to Walras, Edgeworth and Pareto. Consequently, recent books in this field are inclined to be heavily technical and mathematical. On the other hand, the modern GE theory has not completed the study of increasing returns and monopolistic competition, which belong to the alternative important stream of economic thought, namely the Marshallian tradition. This book aims to fill this gap, by proving the existence of a competitive equilibrium with increasing returns coming from externalities in a dynamic economy and a monopolistically competitive equilibrium with the technologies exhibiting increasing returns coming from a large setup cost. Also intended as a basic graduate textbook on GE theory, it contains all the basic results and mathematical techniques in this field, such as measure theory, manifold theory and Banach space theory. A unique feature of the book compared to classical monographs on GE is its emphasis on the historical nature of the subject, and not only the mathematical nature. Students are expected to learn that those mathematically formidable techniques are indeed necessary for tackling many economic problems which have been significant not only in the mathematical or technical context, but also in the historical and traditional context
Applied analysis mathematical methods in natural science
by Takasi Senba
(
)
22 editions published between 2004 and 2011 in English and Undetermined and held by 1,004 WorldCat member libraries worldwide "This book provides a general introduction to applied mathematics, such as mathematical modeling of random motion of particles, chemotaxis in biology and their theoretical study. Several tools in linear and nonlinear PDE theory and spectral theory of eigenfunction expansion are described. The book also presents the fundamental ideas in theoretical and applied analysis and discusses recent developments in nonlinear science."BOOK JACKET
Free energy and selfinteracting particles
by Takashi Suzuki
(
)
18 editions published between 2005 and 2008 in English and held by 501 WorldCat member libraries worldwide Examines a nonlinear system of parabolic partial differential equations (PDE) arising in mathematical biology and statistical mechanics. This book describes the mathematical and physical principles: derivation of a series of equations, biological modeling based on biased random walks, and quantized blowup mechanism based on several PDE techniques
Operator theory and numerical methods
by Hiroshi Fujita
(
)
19 editions published between 2001 and 2006 in English and held by 343 WorldCat member libraries worldwide In accordance with the developments in computation, theoretical studies on numerical schemes are now fruitful and highly needed. In 1991, an article on the finite element method applied to evolutionary problems was published. Following the method, basically this book studies various schemes from operator theoretical points of view. Many parts are devoted to the finite element method, but other schemes and problems (charge simulation method, domain decomposition method, nonlinear problems, and so forth) are also discussed, motivated by the observation that practically useful schemes have fine mathematical structures and the converses are also true. This book has the following chapters: Boundary Value Problems and FEM; Semigroup Theory and FEM; Evolution Equations and FEM; Other Methods in Time Discretization; Other Methods in Space Discretization; Nonlinear Problems; and Domain Decomposition Method
Mean field theories and dual variation
by Takashi Suzuki
(
)
10 editions published between 2008 and 2009 in English and held by 331 WorldCat member libraries worldwide A mathematical theory is introduced in this book to unify a large class of nonlinear partial differential equation (PDE) models for better understanding and analysis of the physical and biological phenomena they represent. The socalled mean field approximation approach is adopted to describe the macroscopic phenomena from certain microscopic principles for this unified mathematical formulation. Two key ingredients for this approach are the notions of 'duality' according to the PDE weak solutions and 'hierarchy' for revealing the details of the otherwise hidden secrets, such as physical mystery hidden between particle density and field concentration, quantized blow up biological mechanism sealed in chemotaxis systems, as well as multiscale mathematical explanations of the SmoluchowskiPoisson model in nonequilibrium thermodynamics, twodimensional turbulence theory, selfdual gauge theory, and so forth. This book shows how and why many different nonlinear problems are interconnected in terms of the properties of duality and scaling, and the way to analyze them mathematically
Recent topics in nonlinear PDE III
by Nonlinear partial differential equations
(
)
9 editions published in 1987 in English and held by 242 WorldCat member libraries worldwide The problems treated in this volume concern nonlinear partial differential equations occurring in the areas of fluid dynamics, free boundary problems, population dynamics and mathematical physics. Presented are new results and new methods for analysis in bifurcation, singular perturbation, variational methods, stability analysis, rearrangement, energy inequalities, etc
Semilinear elliptic equations
by Takashi Suzuki
(
Book
)
3 editions published in 1994 in English and held by 11 WorldCat member libraries worldwide
Kōjō shashinjutsu : aojashin
by Takashi Suzuki
(
Book
)
2 editions published between 1938 and 1941 in Japanese and held by 3 WorldCat member libraries worldwide
Imperfect competition à la Negishi, also with fixed costs
by Pierre Dehez
(
Book
)
2 editions published in 2002 in English and held by 2 WorldCat member libraries worldwide
Recent Topics in Nonlinear Partial Differential Equations, Volume III. NorthHolland Mathematics Studies, Volume 148
(
)
1 edition published in 1987 in English and held by 1 WorldCat member library worldwide The problems treated in this volume concern nonlinear partial differential equations occurring in the areas of fluid dynamics, free boundary problems, population dynamics and mathematical physics. Presented are new results and new methods for analysis in bifurcation, singular perturbation, variational methods, stability analysis, rearrangement, energy inequalities, etc Audience Level
Related Identities
Associated Subjects
Biomathematics Chemical kinetics ChemistryMathematics Differential equations Differential equations, Elliptic Differential equations, Nonlinear Differential equations, Parabolic Differential equations, Partial Economics Engineering mathematics Equilibrium (Economics)Mathematical models Geometry, Differential Lattice dynamics Mathematical analysis Mathematical physics Mathematics Mean field theory Natural historyMathematical models Numerical analysis Operator theory Statistical mechanics

Alternative Names
Suzuki, T.
鈴木 貴.
鈴木陽.
Languages
Covers
