Roads to Infinity (AK Peters/CRC Recreational Mathematics Series)

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Specifiche dell'oggetto

Condizione
Ottime condizioni: Libro che non sembra nuovo ed è già stato letto, ma è in condizioni eccellenti. ...
Release Year
2010
Book Title
Roads to Infinity (AK Peters/CRC Recreational Mathematics Seri...
ISBN
9781568814667
Categoria

Informazioni su questo prodotto

Product Identifiers

Publisher
A + K Peter's, The Limited
ISBN-10
1568814666
ISBN-13
9781568814667
eBay Product ID (ePID)
79701253

Product Key Features

Number of Pages
216 Pages
Publication Name
Roads to Infinity : the Mathematics of Truth and Proof
Language
English
Publication Year
2010
Subject
Infinity, General, Set Theory, Logic, Recreations & Games, Essays
Type
Textbook
Subject Area
Mathematics
Author
John Stillwell
Series
Ak Peters/Crc Recreational Mathematics Ser.
Format
Hardcover

Dimensions

Item Height
0.6 in
Item Weight
14.8 Oz
Item Length
9.3 in
Item Width
6.2 in

Additional Product Features

Intended Audience
College Audience
LCCN
2010-014077
Dewey Edition
22
Reviews
In 1963, Edwin E. Moise published Elementary Geometry from an Advanced Standpointand his book became a classic. … [this book] deserves the same outcome. … One of the most enjoyable features is Stillwell's use of techniques of logic and set theory to solve real mathematical problems … Another enjoyable feature is Stillwell's uniform coverage of unprovability, undecidability and non-computability … suitable for self-study … it is excellent background material for computer scientists and mathematicians in other fields. The historical notes alone are worth perusing by anyone who is interested in the development of mathematical ideas. -Phill Schultz, Gazette of the Australian Mathematical Society, March 2011 … a clear and succinct guide. … One interesting feature of the book is the careful treatment of two of the less famous contributors in this area-Emil Post and Gerhard Gentzen … -CMS Notes, Vol. 43, No. 1, February 2011 … excellent book … the investment the reader makes-be he an intellectually curious adult or a math grad student with extra time on her hands-pays off with an increased understanding of the fascinating world of mathematical logic. The author's thorough, well-researched historical comments are particularly valuable, as well as the philosophical quotations from the important players in this game. There is a very complete bibliography. What the reader might appreciate most is the ability of the author to share his deep insights into what is important and what it all means in the most profound sense. … it is clear that the book received excellent proofreading before publication. … -Mathematical Reviews, Issue 2011f Featuring chapters dedicated to the diagonal argument, ordinals, computability and proof, logic, arithmetic, natural unprovable sentences, and axioms, as well as being enhanced with the inclusion of a lengthy bibliography and a comprehensive index, Roads to Infinity: The Mathematics of Truth and Proofis highly recommended reading for students, scholars, and non-specialist general readers with an interest in the history and contemporary issues of mathematics today. -Able Greenspan, The Midwest Book Review I love reading anything by John Stillwell. If you've ever been tantalized by the puzzles of infinity, set theory, and logic, and want to understand what's really going on, this is the book for you. It's an exceptionally fine piece of mathematical exposition. -Steven Strogatz, Cornell University, author of The Calculus of Friendship One of the most enjoyable features is Stillwell's use of techniques of logic and set theory to solve real mathematical problems…" -School of Statistics and Mathematics, May 2011, excellent book the investment the reader makes "be he an intellectually curious adult or a math grad student with extra time on her hands "pays off with an increased understanding of the fascinating world of mathematical logic. The author "s thorough, well-researched historical comments are particularly valuable, as well as the philosophical quotations from the important players in this game. There is a very complete bibliography. What the reader might appreciate most is the ability of the author to share his deep insights into what is important and what it all means in the most profound sense. it is clear that the book received excellent proofreading before publication. "Mathematical Reviews, Issue 2011f Featuring chapters dedicated to the diagonal argument, ordinals, computability and proof, logic, arithmetic, natural unprovable sentences, and axioms, as well as being enhanced with the inclusion of a lengthy bibliography and a comprehensive index, Roads to Infinity: The Mathematics of Truth and Proofis highly recommended reading for students, scholars, and non-specialist general readers with an interest in the history and contemporary issues of mathematics today. "Able Greenspan, The Midwest Book Review I love reading anything by John Stillwell. If you've ever been tantalized by the puzzles of infinity, set theory, and logic, and want to understand what's really going on, this is the book for you. It's an exceptionally fine piece of mathematical exposition. "Steven Strogatz, Cornell University, author of The Calculus of Friendship, I highly recommend it for undergraduates in mathematics and other young mathematicians who are looking for historical context or a different angle to their studies. Readers who have experience with theoretical analysis or a foundation in abstract mathematics will find the examples wonderfully illustrative. For these readers, Stillwell's words will flow smoothly, almost like a novel. -Joyance Meechai, Mathematics Teacher, October 2011 In 1963, Edwin E. Moise published Elementary Geometry from an Advanced Standpointand his book became a classic. … [this book] deserves the same outcome. … One of the most enjoyable features is Stillwell's use of techniques of logic and set theory to solve real mathematical problems … Another enjoyable feature is Stillwell's uniform coverage of unprovability, undecidability and non-computability … suitable for self-study … it is excellent background material for computer scientists and mathematicians in other fields. The historical notes alone are worth perusing by anyone who is interested in the development of mathematical ideas. -Phill Schultz, Gazette of the Australian Mathematical Society, March 2011 … a clear and succinct guide. … One interesting feature of the book is the careful treatment of two of the less famous contributors in this area-Emil Post and Gerhard Gentzen … -CMS Notes, Vol. 43, No. 1, February 2011 … excellent book … the investment the reader makes-be he an intellectually curious adult or a math grad student with extra time on her hands-pays off with an increased understanding of the fascinating world of mathematical logic. The author's thorough, well-researched historical comments are particularly valuable, as well as the philosophical quotations from the important players in this game. There is a very complete bibliography. What the reader might appreciate most is the ability of the author to share his deep insights into what is important and what it all means in the most profound sense. … it is clear that the book received excellent proofreading before publication. … -Mathematical Reviews, Issue 2011f Featuring chapters dedicated to the diagonal argument, ordinals, computability and proof, logic, arithmetic, natural unprovable sentences, and axioms, as well as being enhanced with the inclusion of a lengthy bibliography and a comprehensive index, Roads to Infinity: The Mathematics of Truth and Proofis highly recommended reading for students, scholars, and non-specialist general readers with an interest in the history and contemporary issues of mathematics today. -Able Greenspan, The Midwest Book Review I love reading anything by John Stillwell. If you've ever been tantalized by the puzzles of infinity, set theory, and logic, and want to understand what's really going on, this is the book for you. It's an exceptionally fine piece of mathematical exposition. -Steven Strogatz, Cornell University, author of The Calculus of Friendship , In 1963, Edwin E. Moise published Elementary Geometry from an Advanced Standpointand his book became a classic. [this book] deserves the same outcome. One of the most enjoyable features is Stillwell "s use of techniques of logic and set theory to solve real mathematical problems Another enjoyable feature is Stillwell "s uniform coverage of unprovability, undecidability and non-computability suitable for self-study it is excellent background material for computer scientists and mathematicians in other fields. The historical notes alone are worth perusing by anyone who is interested in the development of mathematical ideas. "Phill Schultz, Gazette of the Australian Mathematical Society, March 2011 a clear and succinct guide. One interesting feature of the book is the careful treatment of two of the less famous contributors in this area "Emil Post and Gerhard Gentzen "CMS Notes, Vol. 43, No. 1, February 2011 excellent book the investment the reader makes "be he an intellectually curious adult or a math grad student with extra time on her hands "pays off with an increased understanding of the fascinating world of mathematical logic. The author "s thorough, well-researched historical comments are particularly valuable, as well as the philosophical quotations from the important players in this game. There is a very complete bibliography. What the reader might appreciate most is the ability of the author to share his deep insights into what is important and what it all means in the most profound sense. it is clear that the book received excellent proofreading before publication. "Mathematical Reviews, Issue 2011f Featuring chapters dedicated to the diagonal argument, ordinals, computability and proof, logic, arithmetic, natural unprovable sentences, and axioms, as well as being enhanced with the inclusion of a lengthy bibliography and a comprehensive index, Roads to Infinity: The Mathematics of Truth and Proofis highly recommended reading for students, scholars, and non-specialist general readers with an interest in the history and contemporary issues of mathematics today. "Able Greenspan, The Midwest Book Review I love reading anything by John Stillwell. If you've ever been tantalized by the puzzles of infinity, set theory, and logic, and want to understand what's really going on, this is the book for you. It's an exceptionally fine piece of mathematical exposition. "Steven Strogatz, Cornell University, author of The Calculus of Friendship, Featuring chapters dedicated to the diagonal argument, ordinals, computability and proof, logic, arithmetic, natural unprovable sentences, and axioms, as well as being enhanced with the inclusion of a lengthy bibliography and a comprehensive index, Roads to Infinity: The Mathematics of Truth and Proof is highly recommended reading for students, scholars, and non-specialist general readers with an interest in the history and contemporary issues of mathematics today. -- Able Greenspan, The Midwest Book Review I love reading anything by John Stillwell. If you've ever been tantalized by the puzzles of infinity, set theory, and logic, and want to understand what's really going on, this is the book for you. It's an exceptionally fine piece of mathematical exposition. -- Steven Strogatz, Cornell University, author of The Calculus of Friendship
Illustrated
Yes
Dewey Decimal
511.3/22
Synopsis
Winner of a CHOICE Outstanding Academic Title Award for 2011! This book offers an introduction to modern ideas about infinity and their implications for mathematics. It unifies ideas from set theory and mathematical logic, and traces their effects on mainstream mathematical topics of today, such as number theory and combinatorics. The treatment is historical and partly informal, but with due attention to the subtleties of the subject. Ideas are shown to evolve from natural mathematical questions about the nature of infinity and the nature of proof, set against a background of broader questions and developments in mathematics. A particular aim of the book is to acknowledge some important but neglected figures in the history of infinity, such as Post and Gentzen, alongside the recognized giants Cantor and Gödel., Winner of a CHOICE Outstanding Academic Title Award for 2011 This book offers an introduction to modern ideas about infinity and their implications for mathematics. It unifies ideas from set theory and mathematical logic, and traces their effects on mainstream mathematical topics of today, such as number theory and combinatorics. The treatment is historical and partly informal, but with due attention to the subtleties of the subject. Ideas are shown to evolve from natural mathematical questions about the nature of infinity and the nature of proof, set against a background of broader questions and developments in mathematics. A particular aim of the book is to acknowledge some important but neglected figures in the history of infinity, such as Post and Gentzen, alongside the recognized giants Cantor and G del., This book unifies ideas from set theory and mathematical logic and traces their effects on mainstream mathematical topics of today, such as number theory and combinatorics. Ideas are shown to evolve from natural mathematical questions about the nature of infinity and the nature of proof, set against a background of broader questions and developments in mathematics. The book acknowledges some important but neglected figures in the history of infinity, such as Post and Gentzen, alongside the recognized giants Cantor and Gödel.
LC Classification Number
QA248.S778 2010

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