Foundations Of Algebra And Analysis
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Foundations Of Algebra And Analysis
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Author : Anthony R. Lovaglia
language : en
Publisher:
Release Date : 1966
Foundations Of Algebra And Analysis written by Anthony R. Lovaglia and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966 with Algebra categories.
Foundations Of Algebraic Analysis
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Author : Masaki Kashiwara
language : en
Publisher:
Release Date : 1986
Foundations Of Algebraic Analysis written by Masaki Kashiwara and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Mathematics categories.
The use of algebraic methods for studying analysts is an important theme in modern mathematics. The most significant development in this field is microlocal analysis, that is, the local study of differential equations on cotangent bundles. This treatise provides a thorough description of microlocal analysis starting from its foundations. The book begins with the definition of a hyperfunction. It then carefully develops the microfunction theory and its applications to differential equations and theoretical physics. It also provides a description of microdifferential equations, the microlocalization of linear differential equations. Finally, the authors present the structure theorems for systems of microdifferential equations, where the quantized contact transformations are used as a fundamental device. The microfunction theory, together with the quantized contact transformation theory, constitutes a valuable new viewpoint in linear partial differential equations. Originally published in 1986. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
The Number Systems
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Author : Solomon Feferman
language : en
Publisher:
Release Date : 1964
The Number Systems written by Solomon Feferman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1964 with Number Theory categories.
Foundations Of Algebraic Analysis
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Author : Masaki Kashiwara
language : en
Publisher:
Release Date :
Foundations Of Algebraic Analysis written by Masaki Kashiwara and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
The Number Systems
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Author : James Bausch Hendry
language : en
Publisher:
Release Date : 1964
The Number Systems written by James Bausch Hendry and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1964 with categories.
Mathematical Structures
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Author : Joachim Hilgert
language : en
Publisher: Springer Nature
Release Date : 2024-08-06
Mathematical Structures written by Joachim Hilgert and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-08-06 with Mathematics categories.
This textbook is intended to be accessible to any second-year undergraduate in mathematics who has attended courses on basic real analysis and linear algebra. It is meant to help students to appreciate the diverse specialized mathematics courses offered at their universities. Special emphasis is on similarities between mathematical fields and ways to compare them. The organizing principle is the concept of a mathematical structure which plays an important role in all areas of mathematics. The mathematical content used to explain the structural ideas covers in particular material that is typically taught in algebra and geometry courses. The discussion of ways to compare mathematical fields also provides introductions to categories and sheaves, whose ever-increasing role in modern mathematics suggests a more prominent role in teaching. The book is the English translation of the second edition of “Mathematische Strukturen” (Springer, 2024) written in German. The translation was done with the help of artificial intelligence. A subsequent human revision was done primarily in terms of content.
From Foundations To Philosophy Of Mathematics
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Author : Joan Roselló
language : en
Publisher: Cambridge Scholars Publishing
Release Date : 2011-10-18
From Foundations To Philosophy Of Mathematics written by Joan Roselló and has been published by Cambridge Scholars Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-10-18 with Mathematics categories.
From Foundations to Philosophy of Mathematics provides an historical introduction to the most exciting period in the foundations of mathematics, starting with the discovery of the paradoxes of logic and set theory at the beginning of the twentieth century and continuing with the great foundational debate that took place in the 1920s. As a result of the efforts of several mathematicians and philosophers during this period to ground mathematics and to clarify its nature from a certain philosophical standpoint, the four main schools in the philosophy of mathematics that have largely dominated the twentieth century arose, namely, logicism, intuitionism, formalism and predicativism. It was due precisely to the insufficiencies of the first three foundational programs and the objections raised against them, that interest in Platonism was renewed in the 1940s, mainly by Gödel. Not only does this book pay special attention to the foundational programs of these philosophies of mathematics, but also to some technical accomplishments that were developed in close connection with them and have largely shaped our understanding of the nature of mathematics, such as Russell’s type theory, Zermelo’s set theory and Gödel’s incompleteness theorems. Finally, it also examines some current research programs that have been pursued in the last decades and have tried, at least to some extent, to show the feasibility of the foundational programs developed in the schools mentioned above. This is the case of neologicism, constructivism, and predicativist and finitist reductionism, this last one developed closely with the research program of reverse mathematics.
Guide To Programs
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Author : National Science Foundation (U.S.)
language : en
Publisher:
Release Date : 1992
Guide To Programs written by National Science Foundation (U.S.) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Federal aid to research categories.
Introduction To Mathematical Logic
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Author : Elliott Mendelson
language : en
Publisher: CRC Press
Release Date : 2009-08-11
Introduction To Mathematical Logic written by Elliott Mendelson and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-08-11 with Computers categories.
Retaining all the key features of the previous editions, Introduction to Mathematical Logic, Fifth Edition explores the principal topics of mathematical logic. It covers propositional logic, first-order logic, first-order number theory, axiomatic set theory, and the theory of computability. The text also discusses the major results of Godel, Church
Surveys In Differential Algebraic Equations Ii
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Author : Achim Ilchmann
language : en
Publisher: Springer
Release Date : 2014-12-04
Surveys In Differential Algebraic Equations Ii written by Achim Ilchmann and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-12-04 with Mathematics categories.
The present volume comprises survey articles on various fields of Differential-Algebraic Equations (DAEs), which have widespread applications in controlled dynamical systems, especially in mechanical and electrical engineering and a strong relation to (ordinary) differential equations. The individual chapters provide reviews, presentations of the current state of research and new concepts in - Observers for DAEs - DAEs in chemical processes - Optimal control of DAEs - DAEs from a functional-analytic viewpoint - Algebraic methods for DAEs The results are presented in an accessible style, making this book suitable not only for active researchers but also for graduate students (with a good knowledge of the basic principles of DAEs) for self-study.