introduction to the foundations of mathematics 2nd edition

Download Book Introduction To The Foundations Of Mathematics 2nd Edition in PDF format. You can Read Online Introduction To The Foundations Of Mathematics 2nd Edition here in PDF, EPUB, Mobi or Docx formats.

Introduction To The Foundations Of Mathematics

Author : Raymond L. Wilder
ISBN : 9780486488202
Genre : Mathematics
File Size : 39. 90 MB
Format : PDF, ePub, Mobi
Download : 208
Read : 175

Download Now Read Online


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 Mathematics

Author : Raymond L. Wilder
ISBN : 9780486276205
Genre : Mathematics
File Size : 89. 1 MB
Format : PDF
Download : 888
Read : 348

Download Now Read Online


This classic undergraduate text acquaints students with the fundamental concepts and methods of mathematics. In addition to introducing many historical figures from the 18th through the mid-20th centuries, it examines the axiomatic method, set theory, infinite sets, groups, intuitionism, formal systems, mathematical logic, and other topics. 1965 second edition.

The Foundations Of Mathematics

Author : Ian Stewart
ISBN : 9780198706434
Genre : Mathematics
File Size : 51. 97 MB
Format : PDF, ePub
Download : 786
Read : 991

Download Now Read Online


The transition from school mathematics to university mathematics is seldom straightforward. Students are faced with a disconnect between the algorithmic and informal attitude to mathematics at school, versus a new emphasis on proof, based on logic, and a more abstract development of general concepts, based on set theory. The authors have many years' experience of the potential difficulties involved, through teaching first-year undergraduates and researching the ways in which students and mathematicians think. The book explains the motivation behind abstract foundational material based on students' experiences of school mathematics, and explicitly suggests ways students can make sense of formal ideas. This second edition takes a significant step forward by not only making the transition from intuitive to formal methods, but also by reversing the process- using structure theorems to prove that formal systems have visual and symbolic interpretations that enhance mathematical thinking. This is exemplified by a new chapter on the theory of groups. While the first edition extended counting to infinite cardinal numbers, the second also extends the real numbers rigorously to larger ordered fields. This links intuitive ideas in calculus to the formal epsilon-delta methods of analysis. The approach here is not the conventional one of 'nonstandard analysis', but a simpler, graphically based treatment which makes the notion of an infinitesimal natural and straightforward. This allows a further vision of the wider world of mathematical thinking in which formal definitions and proof lead to amazing new ways of defining, proving, visualising and symbolising mathematics beyond previous expectations.

Mathematical Physics

Author : Sadri Hassani
ISBN : 0387985794
Genre : Science
File Size : 83. 94 MB
Format : PDF, Docs
Download : 924
Read : 259

Download Now Read Online


This modern introduction to mathematical physics is ideal for physicists interested in the mathematics they use and for mathematicians interested in seeing how the ideas of their discipline find realization in an applied setting. The presentation balances formalism and application and the abstract and concrete.

Foundations Of Mathematical Economics

Author : Michael Carter
ISBN : 0262531925
Genre : Business & Economics
File Size : 89. 39 MB
Format : PDF, Mobi
Download : 884
Read : 591

Download Now Read Online


An economics-focused introduction to the mathematical foundations of the field.

Foundations Of Mathematical Logic

Author : Haskell Brooks Curry
ISBN : 0486634620
Genre : Mathematics
File Size : 42. 99 MB
Format : PDF, ePub, Docs
Download : 335
Read : 1135

Download Now Read Online


Written by a pioneer of mathematical logic, this comprehensive graduate-level text explores the constructive theory of first-order predicate calculus. It covers formal methods — including algorithms and epitheory — and offers a brief treatment of Markov's approach to algorithms. It also explains elementary facts about lattices and similar algebraic systems. 1963 edition.

Principia Mathematica

Author : Alfred North Whitehead
ISBN : 052106791X
Genre : Logic, Symbolic and mathematical
File Size : 58. 74 MB
Format : PDF
Download : 445
Read : 343

Download Now Read Online



Top Download:

New Books