Fundamental Concepts Of Modern Mathematics


Fundamental Concepts Of Modern Mathematics
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Fundamental Concepts Of Modern Mathematics


Fundamental Concepts Of Modern Mathematics
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Author : Max D. Larsen
language : en
Publisher:
Release Date : 1970

Fundamental Concepts Of Modern Mathematics written by Max D. Larsen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Mathematics categories.




Basic Concepts In Modern Mathematics


Basic Concepts In Modern Mathematics
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Author : John Edward Hafstrom
language : en
Publisher: Courier Corporation
Release Date : 2013-06-10

Basic Concepts In Modern Mathematics written by John Edward Hafstrom and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-10 with Mathematics categories.


In-depth overview, geared toward undergraduates of all backgrounds, covers natural numbers; sets, variables, and statement forms; mappings and operations; groups; relations and partitions; integers; and rational and real numbers. 1961 edition.



Fundamental Concepts Of Mathematics


Fundamental Concepts Of Mathematics
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Author : R. L. Goodstein
language : en
Publisher: Elsevier
Release Date : 2014-07-14

Fundamental Concepts Of Mathematics written by R. L. Goodstein and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-14 with Mathematics categories.


Fundamental Concepts of Mathematics, 2nd Edition provides an account of some basic concepts in modern mathematics. The book is primarily intended for mathematics teachers and lay people who wants to improve their skills in mathematics. Among the concepts and problems presented in the book include the determination of which integral polynomials have integral solutions; sentence logic and informal set theory; and why four colors is enough to color a map. Unlike in the first edition, the second edition provides detailed solutions to exercises contained in the text. Mathematics teachers and people who want to gain a thorough understanding of the fundamental concepts of mathematics will find this book a good reference.



Fundamental Concepts Of Mathematics


Fundamental Concepts Of Mathematics
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Author : Reuben Louis Goodstein
language : en
Publisher: Pergamon
Release Date : 1979

Fundamental Concepts Of Mathematics written by Reuben Louis Goodstein and has been published by Pergamon this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Mathematics categories.


Fundamental Concepts of Mathematics, 2nd Edition provides an account of some basic concepts in modern mathematics.



Concepts Of Modern Mathematics


Concepts Of Modern Mathematics
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Author : Ian Stewart
language : en
Publisher: Courier Corporation
Release Date : 2012-05-23

Concepts Of Modern Mathematics written by Ian Stewart and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-05-23 with Mathematics categories.


In this charming volume, a noted English mathematician uses humor and anecdote to illuminate the concepts of groups, sets, subsets, topology, Boolean algebra, and other mathematical subjects. 200 illustrations.



Fundamentals Of Modern Mathematics


Fundamentals Of Modern Mathematics
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Author : David B. MacNeil
language : en
Publisher: Courier Corporation
Release Date : 2013-07-24

Fundamentals Of Modern Mathematics written by David B. MacNeil and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-07-24 with Mathematics categories.


Students and others wishing to know more about the practical side of mathematics will find this volume a highly informative resource. Accessible explanations of important concepts feature worked examples and diagrams. 1963 edition.



Fundamental Concepts In Modern Analysis An Introduction To Nonlinear Analysis Second Edition


Fundamental Concepts In Modern Analysis An Introduction To Nonlinear Analysis Second Edition
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Author : Vagn Lundsgaard Hansen
language : en
Publisher: World Scientific
Release Date : 2019-11-07

Fundamental Concepts In Modern Analysis An Introduction To Nonlinear Analysis Second Edition written by Vagn Lundsgaard Hansen and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-07 with Mathematics categories.


Many applied mathematical disciplines, such as dynamical systems and optimization theory as well as classical mathematical disciplines like differential geometry and the theory of Lie groups, have a common foundation in general topology and multivariate calculus in normed vector spaces. In this book, students from both pure and applied subjects are offered an opportunity to work seriously with fundamental notions from mathematical analysis that are important not only from a mathematical point of view but also occur frequently in the theoretical parts of, for example, the engineering sciences. The book provides complete proofs of the basic results from topology and differentiability of mappings in normed vector spaces. It is a useful resource for students and researchers in mathematics and the many sciences that depend on fundamental techniques from mathematical analysis.In this second edition, the notions of compactness and sequentially compactness are developed with independent proofs for the main results. Thereby the material on compactness is apt for direct applications also in functional analysis, where the notion of sequentially compactness prevails. This edition also covers a new section on partial derivatives, and new material has been incorporated to make a more complete account of higher order derivatives in Banach spaces, including full proofs for symmetry of higher order derivatives and Taylor's formula. The exercise material has been reorganized from a collection of problem sets at the end of the book to a section at the end of each chapter with further results. Readers will find numerous new exercises at different levels of difficulty for practice.



Fundamental Conceptions Of Modern Mathematics


Fundamental Conceptions Of Modern Mathematics
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Author : Robert Porterfield Richardson
language : en
Publisher:
Release Date : 1916

Fundamental Conceptions Of Modern Mathematics written by Robert Porterfield Richardson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1916 with Algebra categories.




Fundamental Concepts In Modern Analysis


Fundamental Concepts In Modern Analysis
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Author : Vagn Lundsgaard Hansen
language : en
Publisher: World Scientific
Release Date : 1999-06-17

Fundamental Concepts In Modern Analysis written by Vagn Lundsgaard Hansen and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-06-17 with Mathematics categories.


Many advanced mathematical disciplines, such as dynamical systems, calculus of variations, differential geometry and the theory of Lie groups, have a common foundation in general topology and calculus in normed vector spaces. In this book, mathematically inclined engineering students are offered an opportunity to go into some depth with fundamental notions from mathematical analysis that are not only important from a mathematical point of view but also occur frequently in the more theoretical parts of the engineering sciences. The book should also appeal to university students in mathematics and in the physical sciences. Contents:Basic Concepts in TopologyDifferentiation in Normed Vector SpacesThe Inverse Function TheoremDifferentiable ManifoldsAn Introduction to Singularity TheoryAn Introduction to Geometric Variational Problems Readership: Lecturers and students in pure mathematics, theoretical engineering and the physical sciences. Keywords:Pointset Topology;General Topology;Normed Vector Spaces;Differentiability in Normed Vector Spaces;Inverse Function Theorem in Banach Spaces;Differentiable Manifolds;Transversality Theory;Singularity Theory;Variational Problems;Morse TheoryReviews: “It is written in a dense but very deep and conceptual style. Its evident instructive character is also one of the advantages of this textbook.” Mathematics Abstracts



Fundamentals Of Modern Algebra


Fundamentals Of Modern Algebra
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Author : Robert G Underwood
language : en
Publisher: World Scientific Publishing Company
Release Date : 2015-12-28

Fundamentals Of Modern Algebra written by Robert G Underwood and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-12-28 with Mathematics categories.


The purpose of this book is to provide a concise yet detailed account of fundamental concepts in modern algebra. The target audience for this book is first-year graduate students in mathematics, though the first two chapters are probably accessible to well-prepared undergraduates. The book covers a broad range of topics in modern algebra and includes chapters on groups, rings, modules, algebraic extension fields, and finite fields. Each chapter begins with an overview which provides a road map for the reader showing what material will be covered. At the end of each chapter we collect exercises which review and reinforce the material in the corresponding sections. These exercises range from straightforward applications of the material to problems designed to challenge the reader. We also include a list of "Questions for Further Study" which pose problems suitable for master's degree research projects.