Background
Fukushima, Masatoshi was born on August 23, 1935 in Osaka, Japan.
(Since the publication of the first edition in 1994, this ...)
Since the publication of the first edition in 1994, this book has attracted constant interests from readers and is by now regarded as a standard reference for the theory of Dirichlet forms. For the present second edition, the authors not only revised the existing text, but also added some new sections as well as several exercises with solutions. The book addresses to researchers and graduate students who wish to comprehend the area of Dirichlet forms and symmetric Markov processes.
http://www.amazon.com/gp/product/311011626X/?tag=2022091-20
(This book provides a comprehensive introduction to modern...)
This book provides a comprehensive introduction to modern global variational theory on fibred spaces. It is based on differentiation and integration theory of differential forms on smooth manifolds, and on the concepts of global analysis and geometry such as jet prolongations of manifolds, mappings, and Lie groups. The book will be invaluable for researchers and PhD students in differential geometry, global analysis, differential equations on manifolds, and mathematical physics, and for the readers who wish to undertake further rigorous study in this broad interdisciplinary field. Featured topics - Analysis on manifolds - Differential forms on jet spaces - Global variational functionals - Euler-Lagrange mapping - Helmholtz form and the inverse problem - Symmetries and the Noether's theory of conservation laws - Regularity and the Hamilton theory - Variational sequences - Differential invariants and natural variational principles - First book on the geometric foundations of Lagrange structures - New ideas on global variational functionals - Complete proofs of all theorems - Exact treatment of variational principles in field theory, inc. general relativity - Basic structures and tools: global analysis, smooth manifolds, fibred spaces
http://www.amazon.com/gp/product/0444854215/?tag=2022091-20
(Since the publication of the first edition in 1994, this ...)
Since the publication of the first edition in 1994, this book has attracted constant interests from readers and is by now regarded as a standard reference for the theory of Dirichlet forms. For the present second edition, the authors not only revised the existing text, but also added some new sections as well as several exercises with solutions. The book addresses to researchers and graduate students who wish to comprehend the area of Dirichlet forms and symmetric Markov processes.
http://www.amazon.com/gp/product/3111733211/?tag=2022091-20
Fukushima, Masatoshi was born on August 23, 1935 in Osaka, Japan.
Bachelor of Science, Kyoto University, 1959. Master of Science, Kyoto University, 1961. Doctor of Science, Osaka (Japan) University, 1966.
Associate professor, Kyoto (Japan) U. College General Education, 1964-1965; associate professor, Tokyo (Japan) U. Education, 1966-1972; associate professor faculty science, Osaka (Japan) U., 1972-1977; professor College General Education, Osaka (Japan) U., 1977-1989; professor faculty engineering science, Osaka (Japan) U., since 1990.
(Since the publication of the first edition in 1994, this ...)
(Since the publication of the first edition in 1994, this ...)
(Since the publication of the first edition in 1994, this ...)
(This book provides a comprehensive introduction to modern...)
Married Saki Fujihara, October 3, 1966.