Ap Morses Set Theory And Analysis

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A.P. Morse’s Set Theory and Analysis

Author : Robert A. Alps
Publisher : Springer Nature
ISBN 13 : 3031053559
Total Pages : 523 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis A.P. Morse’s Set Theory and Analysis by : Robert A. Alps

Download or read book A.P. Morse’s Set Theory and Analysis written by Robert A. Alps and published by Springer Nature. This book was released on 2022-08-24 with total page 523 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume explores A.P. Morse’s (1911-1984) development of a formal language for writing mathematics, his application of that language in set theory and mathematical analysis, and his unique perspective on mathematics. The editor brings together a variety of Morse’s works in this compilation, including Morse's book A Theory of Sets, Second Edition (1986), in addition to material from another of Morse’s publications, Web Derivatives, and notes for a course on analysis from the early 1950's. Because Morse provided very little in the way of explanation in his written works, the editor’s commentary serves to outline Morse’s goals, give informal explanations of Morse’s formal language, and compare Morse’s often unique approaches to more traditional approaches. Minor corrections to Morse’s previously published works have also been incorporated into the text, including some updated axioms, theorems, and definitions. The editor’s introduction thoroughly details the corrections and changes made and provides readers with valuable insight on Morse’s methods. A.P. Morse’s Set Theory and Analysis will appeal to graduate students and researchers interested in set theory and analysis who also have an interest in logic. Readers with a particular interest in Morse’s unique perspective and in the history of mathematics will also find this book to be of interest.

A.P. Morse's Set Theory and Analysis

Author : Robert A Alps
Publisher :
ISBN 13 : 9788303105356
Total Pages : 0 pages
Book Rating : 4.1/5 (53 download)

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Book Synopsis A.P. Morse's Set Theory and Analysis by : Robert A Alps

Download or read book A.P. Morse's Set Theory and Analysis written by Robert A Alps and published by . This book was released on 2022 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume explores A.P. Morse's (1911-1984) development of a formal language for writing mathematics, his application of that language in set theory and mathematical analysis, and his unique perspective on mathematics. The editor brings together a variety of Morse's works in this compilation, including Morse's book A Theory of Sets, Second Edition (1986), in addition to material from another of Morse's publications, Web Derivatives, and notes for a course on analysis from the early 1950's. Because Morse provided very little in the way of explanation in his written works, the editor's commentary serves to outline Morse's goals, give informal explanations of Morse's formal language, and compare Morse's often unique approaches to more traditional approaches. Minor corrections to Morse's previously published works have also been incorporated into the text, including some updated axioms, theorems, and definitions. The editor's introduction thoroughly details the corrections and changes made and provides readers with valuable insight on Morse's methods. A.P. Morse's Set Theory and Analysis will appeal to graduate students and researchers interested in set theory and analysis who also have an interest in logic. Readers with a particular interest in Morse's unique perspective and in the history of mathematics will also find this book to be of interest.

Basic Real and Abstract Analysis

Author : John F. Randolph
Publisher : Elsevier
ISBN 13 : 1483272753
Total Pages : 528 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Basic Real and Abstract Analysis by : John F. Randolph

Download or read book Basic Real and Abstract Analysis written by John F. Randolph and published by Elsevier. This book was released on 2014-05-12 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: Basic Real and Abstract Analysis focuses on the processes, methodologies, and approaches involved in the process of abstraction of mathematical problems. The book first offers information on orientation and sets and spaces, including equivalent and infinite sets, metric spaces, cardinals, distance and relative properties, real numbers, and absolute value and inequalities. The text then takes a look at sequences and series and measure and integration. Topics include rings and additivity, Lebesgue integration, outer measures and measurability, extended real number system, sequences in metric spaces, and series of real numbers. The publication ponders on measure theory, continuity, derivatives, and Stieltjes integrals. Discussions focus on integrators of bounded variation, Lebesgue integral relations, exponents and logarithms, bounded variation, mean values, trigonometry, and Fourier series. The manuscript is a valuable reference for mathematicians and researchers interested in the process of abstraction of mathematical equations.

Tool and Object

Author : Ralph Krömer
Publisher : Springer Science & Business Media
ISBN 13 : 3764375248
Total Pages : 400 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis Tool and Object by : Ralph Krömer

Download or read book Tool and Object written by Ralph Krömer and published by Springer Science & Business Media. This book was released on 2007-06-25 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: Category theory is a general mathematical theory of structures and of structures of structures. It occupied a central position in contemporary mathematics as well as computer science. This book describes the history of category theory whereby illuminating its symbiotic relationship to algebraic topology, homological algebra, algebraic geometry and mathematical logic and elaboratively develops the connections with the epistemological significance.

Mathematical Logic and Its Applications

Author : Dimiter G. Skordev
Publisher : Springer Science & Business Media
ISBN 13 : 1461308976
Total Pages : 366 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Mathematical Logic and Its Applications by : Dimiter G. Skordev

Download or read book Mathematical Logic and Its Applications written by Dimiter G. Skordev and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Summer School and Conference on Mathematical Logic and its Applications, September 24 - October 4, 1986, Druzhba, Bulgaria, was honourably dedicated to the 80-th anniversary of Kurt Godel (1906 - 1978), one of the greatest scientists of this (and not only of this) century. The main topics of the Meeting were: Logic and the Foundation of Mathematics; Logic and Computer Science; Logic, Philosophy, and the Study of Language; Kurt Godel's life and deed. The scientific program comprised 5 kinds of activities, namely: a) a Godel Session with 3 invited lecturers b) a Summer School with 17 invited lecturers c) a Conference with 13 contributed talks d) Seminar talks (one invited and 12 with no preliminary selection) e) three discussions The present volume reflects an essential part of this program, namely 14 of the invited lectures and all of the contributed talks. Not presented in the volltme remai ned si x of the i nvi ted lecturers who di d not submi t texts: Yu. Ershov - The Language of!:-expressions and its Semantics; S. Goncharov - Mathematical Foundations of Semantic Programming; Y. Moschovakis - Foundations of the Theory of Algorithms; N. Nagornyj - Is Realizability of Propositional Formulae a GBdelean Property; N. Shanin - Some Approaches to Finitization of Mathematical Analysis; V. Uspensky - Algorithms and Randomness - joint with A.N.

Integration and Modern Analysis

Author : John J. Benedetto
Publisher : Springer Science & Business Media
ISBN 13 : 0817646566
Total Pages : 589 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Integration and Modern Analysis by : John J. Benedetto

Download or read book Integration and Modern Analysis written by John J. Benedetto and published by Springer Science & Business Media. This book was released on 2010-01-08 with total page 589 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook and treatise begins with classical real variables, develops the Lebesgue theory abstractly and for Euclidean space, and analyzes the structure of measures. The authors' vision of modern real analysis is seen in their fascinating historical commentary and perspectives with other fields. There are comprehensive treatments of the role of absolute continuity, the evolution of the Riesz representation theorem to Radon measures and distribution theory, weak convergence of measures and the Dieudonné–Grothendieck theorem, modern differentiation theory, fractals and self-similarity, rearrangements and maximal functions, and surface and Hausdorff measures. There are hundreds of illuminating exercises, and extensive, focused appendices on functional and Fourier analysis. The presentation is ideal for the classroom, self-study, or professional reference.

Morse Theoretic Methods in Nonlinear Analysis and in Symplectic Topology

Author : Paul Biran
Publisher : Springer Science & Business Media
ISBN 13 : 1402042663
Total Pages : 476 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Morse Theoretic Methods in Nonlinear Analysis and in Symplectic Topology by : Paul Biran

Download or read book Morse Theoretic Methods in Nonlinear Analysis and in Symplectic Topology written by Paul Biran and published by Springer Science & Business Media. This book was released on 2006-02-12 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers collected in this volume are contributions to the 43rd session of the Seminaire ́ de mathematiques ́ superieures ́ (SMS) on “Morse Theoretic Methods in Nonlinear Analysis and Symplectic Topology.” This session took place at the Universite ́ de Montreal ́ in July 2004 and was a NATO Advanced Study Institute (ASI). The aim of the ASI was to bring together young researchers from various parts of the world and to present to them some of the most signi cant recent advances in these areas. More than 77 mathematicians from 17 countries followed the 12 series of lectures and participated in the lively exchange of ideas. The lectures covered an ample spectrum of subjects which are re ected in the present volume: Morse theory and related techniques in in nite dim- sional spaces, Floer theory and its recent extensions and generalizations, Morse and Floer theory in relation to string topology, generating functions, structure of the group of Hamiltonian di?eomorphisms and related dynamical problems, applications to robotics and many others. We thank all our main speakers for their stimulating lectures and all p- ticipants for creating a friendly atmosphere during the meeting. We also thank Ms. Diane Belanger ́ , our administrative assistant, for her help with the organi- tion and Mr. Andre ́ Montpetit, our technical editor, for his help in the preparation of the volume.

Summary of the Dissertation Submitted in Partial Satisfaction of the Requirements for the Degree of Doctor of Philosophy

Author : University of California, Berkeley. Graduate Division
Publisher :
ISBN 13 :
Total Pages : 560 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Summary of the Dissertation Submitted in Partial Satisfaction of the Requirements for the Degree of Doctor of Philosophy by : University of California, Berkeley. Graduate Division

Download or read book Summary of the Dissertation Submitted in Partial Satisfaction of the Requirements for the Degree of Doctor of Philosophy written by University of California, Berkeley. Graduate Division and published by . This book was released on 1962 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Century of Mathematics in America

Author : Peter L. Duren
Publisher : American Mathematical Soc.
ISBN 13 : 9780821801246
Total Pages : 490 pages
Book Rating : 4.8/5 (12 download)

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Book Synopsis A Century of Mathematics in America by : Peter L. Duren

Download or read book A Century of Mathematics in America written by Peter L. Duren and published by American Mathematical Soc.. This book was released on 1988 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: Part of the "History of Mathematics" series, this book presents a variety of perspectives on the political, social, and mathematical forces that have shaped the American mathematical community.

Summary of the Dissertation[s] Submitted in Partial Satisfaction of the Requirements for the Degree of Doctor of Philosophy

Author : University of California (System). Graduate Division
Publisher :
ISBN 13 :
Total Pages : 608 pages
Book Rating : 4.A/5 ( download)

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Book Synopsis Summary of the Dissertation[s] Submitted in Partial Satisfaction of the Requirements for the Degree of Doctor of Philosophy by : University of California (System). Graduate Division

Download or read book Summary of the Dissertation[s] Submitted in Partial Satisfaction of the Requirements for the Degree of Doctor of Philosophy written by University of California (System). Graduate Division and published by . This book was released on 1962-06 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematics For Computation (M4c)

Author : Marco Benini
Publisher : World Scientific
ISBN 13 : 9811245231
Total Pages : 477 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Mathematics For Computation (M4c) by : Marco Benini

Download or read book Mathematics For Computation (M4c) written by Marco Benini and published by World Scientific. This book was released on 2023-03-21 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: The overall topic of the volume, Mathematics for Computation (M4C), is mathematics taking crucially into account the aspect of computation, investigating the interaction of mathematics with computation, bridging the gap between mathematics and computation wherever desirable and possible, and otherwise explaining why not.Recently, abstract mathematics has proved to have more computational content than ever expected. Indeed, the axiomatic method, originally intended to do away with concrete computations, seems to suit surprisingly well the programs-from-proofs paradigm, with abstraction helping not only clarity but also efficiency.Unlike computational mathematics, which rather focusses on objects of computational nature such as algorithms, the scope of M4C generally encompasses all the mathematics, including abstract concepts such as functions. The purpose of M4C actually is a strongly theory-based and therefore, is a more reliable and sustainable approach to actual computation, up to the systematic development of verified software.While M4C is situated within mathematical logic and the related area of theoretical computer science, in principle it involves all branches of mathematics, especially those which prompt computational considerations. In traditional terms, the topics of M4C include proof theory, constructive mathematics, complexity theory, reverse mathematics, type theory, category theory and domain theory.The aim of this volume is to provide a point of reference by presenting up-to-date contributions by some of the most active scholars in each field. A variety of approaches and techniques are represented to give as wide a view as possible and promote cross-fertilization between different styles and traditions.

The Logic of Infinity

Author : Barnaby Sheppard
Publisher : Cambridge University Press
ISBN 13 : 1139952773
Total Pages : 498 pages
Book Rating : 4.1/5 (399 download)

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Book Synopsis The Logic of Infinity by : Barnaby Sheppard

Download or read book The Logic of Infinity written by Barnaby Sheppard and published by Cambridge University Press. This book was released on 2014-07-24 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: Few mathematical results capture the imagination like Georg Cantor's groundbreaking work on infinity in the late nineteenth century. This opened the door to an intricate axiomatic theory of sets which was born in the decades that followed. Written for the motivated novice, this book provides an overview of key ideas in set theory, bridging the gap between technical accounts of mathematical foundations and popular accounts of logic. Readers will learn of the formal construction of the classical number systems, from the natural numbers to the real numbers and beyond, and see how set theory has evolved to analyse such deep questions as the status of the continuum hypothesis and the axiom of choice. Remarks and digressions introduce the reader to some of the philosophical aspects of the subject and to adjacent mathematical topics. The rich, annotated bibliography encourages the dedicated reader to delve into what is now a vast literature.

Basic Linear Partial Differential Equations

Author : François Treves
Publisher : Academic Press
ISBN 13 : 0080880258
Total Pages : 493 pages
Book Rating : 4.0/5 (88 download)

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Book Synopsis Basic Linear Partial Differential Equations by : François Treves

Download or read book Basic Linear Partial Differential Equations written by François Treves and published by Academic Press. This book was released on 1975-08-08 with total page 493 pages. Available in PDF, EPUB and Kindle. Book excerpt: Basic Linear Partial Differential Equations

Algebra

Author :
Publisher : Academic Press
ISBN 13 : 9780080874296
Total Pages : 299 pages
Book Rating : 4.8/5 (742 download)

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Book Synopsis Algebra by :

Download or read book Algebra written by and published by Academic Press. This book was released on 1983-11-01 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebra

Topological Correspondences

Author : Richard Albert Cleveland
Publisher :
ISBN 13 :
Total Pages : 90 pages
Book Rating : 4.:/5 (29 download)

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Book Synopsis Topological Correspondences by : Richard Albert Cleveland

Download or read book Topological Correspondences written by Richard Albert Cleveland and published by . This book was released on 1962 with total page 90 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Vector Bundles - Vol 1

Author :
Publisher : Academic Press
ISBN 13 : 9780080874203
Total Pages : 370 pages
Book Rating : 4.8/5 (742 download)

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Book Synopsis Vector Bundles - Vol 1 by :

Download or read book Vector Bundles - Vol 1 written by and published by Academic Press. This book was released on 1983-02-18 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vector Bundles - Vol 1

Large Deviations

Author :
Publisher : Academic Press
ISBN 13 : 9780080874579
Total Pages : 306 pages
Book Rating : 4.8/5 (745 download)

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Book Synopsis Large Deviations by :

Download or read book Large Deviations written by and published by Academic Press. This book was released on 1989-06-21 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first four chapters of this volume are based on lectures given by Stroock at MIT in 1987. They form an introduction to the basic ideas of the theory of large deviations and make a suitable package on which to base a semester-length course for advanced graduate students with a strong background in analysis and some probability theory. A large selection of exercises presents important material and many applications. The last two chapters present various non-uniform results (Chapter 5) and outline the analytic approach that allows one to test and compare techniques used in previous chapters (Chapter 6).