Introduction To The Foundations Of Mathematics
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Introduction To The Foundations Of Mathematics
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Author : Raymond L. Wilder
language : en
Publisher: Courier Corporation
Release Date : 2012-01-01
Introduction To The Foundations Of Mathematics written by Raymond L. Wilder and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-01-01 with Mathematics categories.
This classic undergraduate text by an eminent educator acquaints students with the fundamental concepts and methods of mathematics. In addition to introducing many noteworthy historical figures from the eighteenth through the mid-twentieth centuries, the book examines the axiomatic method, set theory, infinite sets, the linear continuum and the real number system, and groups. Additional topics include the Frege-Russell thesis, intuitionism, formal systems, mathematical logic, and the cultural setting of mathematics. Students and teachers will find that this elegant treatment covers a vast amount of material in a single reasonably concise and readable volume. Each chapter concludes with a set of problems and a list of suggested readings. An extensive bibliography and helpful indexes conclude the text.
Introduction To The Foundations Of Applied Mathematics
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Author : Mark H. Holmes
language : en
Publisher: Springer Nature
Release Date : 2019-10-02
Introduction To The Foundations Of Applied Mathematics written by Mark H. Holmes and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-02 with Mathematics categories.
The objective of this textbook is the construction, analysis, and interpretation of mathematical models to help us understand the world we live in. Rather than follow a case study approach it develops the mathematical and physical ideas that are fundamental in understanding contemporary problems in science and engineering. Science evolves, and this means that the problems of current interest continually change. What does not change as quickly is the approach used to derive the relevant mathematical models, and the methods used to analyze the models. Consequently, this book is written in such a way as to establish the mathematical ideas underlying model development independently of a specific application. This does not mean applications are not considered, they are, and connections with experiment are a staple of this book. The book, as well as the individual chapters, is written in such a way that the material becomes more sophisticated as you progress. This provides some flexibility in how the book is used, allowing consideration for the breadth and depth of the material covered. Moreover, there are a wide spectrum of exercises and detailed illustrations that significantly enrich the material. Students and researchers interested in mathematical modelling in mathematics, physics, engineering and the applied sciences will find this text useful. The material, and topics, have been updated to include recent developments in mathematical modeling. The exercises have also been expanded to include these changes, as well as enhance those from the first edition. Review of first edition: "The goal of this book is to introduce the mathematical tools needed for analyzing and deriving mathematical models. ... Holmes is able to integrate the theory with application in a very nice way providing an excellent book on applied mathematics. ... One of the best features of the book is the abundant number of exercises found at the end of each chapter. ... I think this is a great book, and I recommend it for scholarly purposes by students, teachers, and researchers." Joe Latulippe, The Mathematical Association of America, December, 2009
Introduction To The Mathematical And Statistical Foundations Of Econometrics
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Author : Herman J. Bierens
language : en
Publisher: Cambridge University Press
Release Date : 2004-12-20
Introduction To The Mathematical And Statistical Foundations Of Econometrics written by Herman J. Bierens and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-12-20 with Business & Economics categories.
This book is intended for use in a rigorous introductory PhD level course in econometrics.
Logical Foundations Of Mathematics And Computational Complexity
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Author : Pavel Pudlák
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-22
Logical Foundations Of Mathematics And Computational Complexity written by Pavel Pudlák and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-22 with Mathematics categories.
The two main themes of this book, logic and complexity, are both essential for understanding the main problems about the foundations of mathematics. Logical Foundations of Mathematics and Computational Complexity covers a broad spectrum of results in logic and set theory that are relevant to the foundations, as well as the results in computational complexity and the interdisciplinary area of proof complexity. The author presents his ideas on how these areas are connected, what are the most fundamental problems and how they should be approached. In particular, he argues that complexity is as important for foundations as are the more traditional concepts of computability and provability. Emphasis is on explaining the essence of concepts and the ideas of proofs, rather than presenting precise formal statements and full proofs. Each section starts with concepts and results easily explained, and gradually proceeds to more difficult ones. The notes after each section present some formal definitions, theorems and proofs. Logical Foundations of Mathematics and Computational Complexity is aimed at graduate students of all fields of mathematics who are interested in logic, complexity and foundations. It will also be of interest for both physicists and philosophers who are curious to learn the basics of logic and complexity theory.
Mathematical Logic And The Foundations Of Mathematics
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Author : G. T. Kneebone
language : en
Publisher: Dover Publications
Release Date : 2001
Mathematical Logic And The Foundations Of Mathematics written by G. T. Kneebone and has been published by Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Logic, Symbolic and mathematical categories.
Ideal for students intending to specialize in the topic. Part I discusses traditional and symbolic logic. Part II explores the foundations of mathematics. Part III focuses on the philosophy of mathematics.
Set Theory And Foundations Of Mathematics An Introduction To Mathematical Logic Volume I Set Theory Second Edition
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Author : Douglas Cenzer
language : en
Publisher: World Scientific
Release Date : 2025-01-10
Set Theory And Foundations Of Mathematics An Introduction To Mathematical Logic Volume I Set Theory Second Edition written by Douglas Cenzer and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-01-10 with Mathematics categories.
This book presents both axiomatic and descriptive set theory, targeting upper-level undergraduate and beginning graduate students. It aims to equip them for advanced studies in set theory, mathematical logic, and other mathematical fields, including analysis, topology, and algebra.The book is designed as a flexible and accessible text for a one-semester introductory in set theory, where the existing alternatives may be more demanding or specialized. Readers will learn the universally accepted basis of the field, with several popular topics added as an option. Pointers to more advanced study are scattered through the text.This new edition includes additional topics on trees, ordinal functions, and sets, along with numerous new exercises. The presentation has been improved, and several typographical errors have been corrected.
Mathematical Foundations Of Time Series Analysis
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Author : Jan Beran
language : en
Publisher: Springer
Release Date : 2018-03-23
Mathematical Foundations Of Time Series Analysis written by Jan Beran and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-03-23 with Mathematics categories.
This book provides a concise introduction to the mathematical foundations of time series analysis, with an emphasis on mathematical clarity. The text is reduced to the essential logical core, mostly using the symbolic language of mathematics, thus enabling readers to very quickly grasp the essential reasoning behind time series analysis. It appeals to anybody wanting to understand time series in a precise, mathematical manner. It is suitable for graduate courses in time series analysis but is equally useful as a reference work for students and researchers alike.
Foundations Of Primary Mathematics Education
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Author : Fiona Budgen
language : en
Publisher: Taylor & Francis
Release Date : 2020-07-28
Foundations Of Primary Mathematics Education written by Fiona Budgen and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-28 with Education categories.
Many pre-service teachers admit to feeling unsure about the mathematics they will have to teach in primary school. Others find it difficult to know how to apply the theories of teaching and learning they study in other courses to the teaching of mathematics. This book begins by outlining some of the key considerations of effective mathematics teaching and learning. These include understanding student motivation, classroom management, overcoming maths anxiety and developing a positive learning environment. The authors also introduce the curriculum and assessment processes, and explore the use of ICT in the maths classroom. Part B outlines in a straightforward and accessible style the mathematical content knowledge required of a primary teacher. The content extends beyond the primary level to Year 9 of the Australian Curriculum as, while primary teachers may not have to teach this content, knowing it is a key part of being a strong teacher and will assist pre-service teachers to meet the requirements of the LANTITE (the Literacy and Numeracy Test for Initial Teacher Education students). Featuring graphics and worked examples and using clear and friendly language throughout, this is the essential introduction for students wishing to begin teaching primary mathematics with confidence and enthusiasm. 'The writing style is clean and uncomplicated; exactly what my maths education students need. The blend of theories, curriculum, planning, assessment and mathematical content knowledge strikes the balance that is missing in many texts.' -- Dr Geoff Hilton, University of Queensland
An Introduction To Mathematics
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Author : Alfred North Whitehead
language : en
Publisher: Courier Dover Publications
Release Date : 2017-05-17
An Introduction To Mathematics written by Alfred North Whitehead and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-17 with Mathematics categories.
Originally published: New York: Henry Holt & Company, 1911.
Foundations Of Mathematical Analysis
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Author : Richard Johnsonbaugh
language : en
Publisher: Courier Corporation
Release Date : 2012-09-11
Foundations Of Mathematical Analysis written by Richard Johnsonbaugh and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-09-11 with Mathematics categories.
Definitive look at modern analysis, with views of applications to statistics, numerical analysis, Fourier series, differential equations, mathematical analysis, and functional analysis. More than 750 exercises; some hints and solutions. 1981 edition.