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Przebłyski algebry i geometrii –
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Parametry przedmiotu
- Stan
- PublishedOn
- 2011-12-14
- Title
- Glimpses of Algebra and Geometry
- ISBN
- 9781441929624
- Series
- Undergraduate Texts in Mathematics, Undergraduate Texts in Mathematics Ser.
- Publication Year
- 2011
- Type
- Textbook
- Format
- Trade Paperback, Paperback
- Language
- English
- Publication Name
- Glimpses of Algebra and Geometry
- Item Length
- 10in
- Publisher
- Springer, Springer New York
- Item Width
- 7in
- Item Weight
- 31.9 Oz
- Number of Pages
- 450 Pages, Xxii, 450 Pages
O tym produkcie
Product Information
Previous edition sold 2000 copies in 3 years; Explores the subtle connections between Number Theory, Classical Geometry and Modern Algebra; Over 180 illustrations, as well as text and Maple files, are available via the web facilitate understanding: http: //mathsgi01.rutgers.edu/cgi-bin/wrap/gtoth/; Contains an insert with 4-color illustrations; Includes numerous examples and worked-out problem
Product Identifiers
Publisher
Springer, Springer New York
ISBN-10
1441929622
ISBN-13
9781441929624
eBay Product ID (ePID)
109287798
Product Key Features
Publication Name
Glimpses of Algebra and Geometry
Format
Trade Paperback, Paperback
Language
English
Series
Undergraduate Texts in Mathematics, Undergraduate Texts in Mathematics Ser.
Publication Year
2011
Type
Textbook
Number of Pages
450 Pages, Xxii, 450 Pages
Dimensions
Item Length
10in
Item Width
7in
Weight
31.9 Oz
Width
7in
Length
10in
Item Weight
31.9 Oz
Additional Product Features
Number of Volumes
1 Vol.
Lc Classification Number
Qa299.6-433, Qa299.6-433qa241-247
Publication Date
2011-12-14
Edition Number
2
Reviews
From the reviews of the second edition: "Toth's 'Glimpses' offer selected material that connect algebra and geometry ... . This second edition is a revised and substantially expanded version, so for example it includes a detailed treatment of the solution of the cubic and quartic, as well as a long new chapter on Klein's famous work on the quintic and the icosahedron." (Günter M. Ziegler, Zentralblatt MATH, Vol. 1027, 2004) "The book is intended - and really manages it - to fill undergraduates with enthusiasm to reach the graduate level. ... the author presents various topics of number theory, geometry and algebra and at the same time shows their connection resp. interplay, thus making the study lively and fascinating for the reader. ... information on advanced websites and films show how carefully the author has done his job. So this second edition hopefully will not be the last one." (G. Kowol, Monatshefte für Mathematik, Vol. 141 (2), 2004) "The text covers a wide range of topics and gives a taste of advanced material in number theory, geometry and algebra, particularly where these fields overlap. ... there are plenty of references for the interested reader who wishes to pursue a particular topic in greater depth. ... the accessibility of the format and the flow of the material combine to create an entertaining and informative work. I recommend the text as a good read for mathematicians of all specialities. " (Stephen Lucas, The Australian Mathematical Society Gazette, Vol. 30 (4), 2003) "This is the second, much revised and augmented edition of the book originally published in 1998. It intends to close the gap between undergraduate and graduate studies in number theory, classical geometry and modern algebra. ... Each of the chapters is a good read and the book adds up to a wholly appealing entity. ... It can be warmly recommended ... . I can well imagine that teachers ... as well as scientists ... will benefit from this carefully worked-out textbook." (J. Lang, Internationale Mathematische Nachrichten, Vol. 57 (192), 2003), From the reviews of the second edition: "Toth's 'Glimpses' offer selected material that connect algebra and geometry ... . This second edition is a revised and substantially expanded version, so for example it includes a detailed treatment of the solution of the cubic and quartic, as well as a long new chapter on Klein's famous work on the quintic and the icosahedron." (Günter M. Ziegler, Zentralblatt MATH, Vol. 1027, 2004) "The book is intended - and really manages it - to fill undergraduates with enthusiasm to reach the graduate level. ... the author presents various topics of number theory, geometry and algebra and at the same time shows their connection resp. interplay, thus making the study lively and fascinating for the reader. ... information on advanced websites and films show how carefully the author has done his job. So this second edition hopefully will not be the last one." (G. Kowol, Monatshefte für Mathematik, Vol. 141 (2), 2004) "The text covers a wide range of topics and gives a taste of advanced material in number theory, geometry and algebra, particularly where these fields overlap. ... there are plenty of references for the interested reader who wishes to pursue a particular topic in greater depth. ... the accessibility of the format and the flow of the material combine to create an entertaining and informative work. I recommend the text as a good read for mathematicians of all specialities. " (Stephen Lucas, The Australian Mathematical Society Gazette, Vol. 30 (4), 2003) "This is the second, much revised and augmented edition of the book originally published in 1998. It intends to close the gap between undergraduate and graduate studies in number theory, classical geometry and modern algebra. ... Each of the chapters is a good read and the book adds up to a wholly appealing entity. ... It can be warmly recommended ... . I can well imagine that teachers ... as well as scientists ... willbenefit from this carefully worked-out textbook." (J. Lang, Internationale Mathematische Nachrichten, Vol. 57 (192), 2003), From the reviews of the second edition: "Toth's 'Glimpses' offer selected material that connect algebra and geometry … . This second edition is a revised and substantially expanded version, so for example it includes a detailed treatment of the solution of the cubic and quartic, as well as a long new chapter on Klein's famous work on the quintic and the icosahedron." (Günter M. Ziegler, Zentralblatt MATH, Vol. 1027, 2004) "The book is intended and really manages it to fill undergraduates with enthusiasm to reach the graduate level. … the author presents various topics of number theory, geometry and algebra and at the same time shows their connection resp. interplay, thus making the study lively and fascinating for the reader. … information on advanced websites and films show how carefully the author has done his job. So this second edition hopefully will not be the last one." (G. Kowol, Monatshefte für Mathematik, Vol. 141 (2), 2004) "The text covers a wide range of topics and gives a taste of advanced material in number theory, geometry and algebra, particularly where these fields overlap. … there are plenty of references for the interested reader who wishes to pursue a particular topic in greater depth. … the accessibility of the format and the flow of the material combine to create an entertaining and informative work. I recommend the text as a good read for mathematicians of all specialities. " (Stephen Lucas, The Australian Mathematical Society Gazette, Vol. 30 (4), 2003) "This is the second, much revised and augmented edition of the book originally published in 1998. It intends to close the gap between undergraduate and graduate studies in number theory, classical geometry and modern algebra. … Each of the chapters is a good read and the book adds up to a wholly appealing entity. … It can be warmly recommended … . I can well imagine that teachers … as well as scientists … will benefit from this carefully worked-out textbook." (J. Lang, Internationale Mathematische Nachrichten, Vol. 57 (192), 2003), From the reviews of the second edition:"Toth's 'Glimpses' offer selected material that connect algebra and geometry … . This second edition is a revised and substantially expanded version, so for example it includes a detailed treatment of the solution of the cubic and quartic, as well as a long new chapter on Klein's famous work on the quintic and the icosahedron." (Günter M. Ziegler, Zentralblatt MATH, Vol. 1027, 2004)"The book is intended and really manages it to fill undergraduates with enthusiasm to reach the graduate level. … the author presents various topics of number theory, geometry and algebra and at the same time shows their connection resp. interplay, thus making the study lively and fascinating for the reader. … information on advanced websites and films show how carefully the author has done his job. So this second edition hopefully will not be the last one." (G. Kowol, Monatshefte für Mathematik, Vol. 141 (2), 2004)"The text covers a wide range of topics and gives a taste of advanced material in number theory, geometry and algebra, particularly where these fields overlap. … there are plenty of references for the interested reader who wishes to pursue a particular topic in greater depth. … the accessibility of the format and the flow of the material combine to create an entertaining and informative work. I recommend the text as a good read for mathematicians of all specialities. " (Stephen Lucas, The Australian Mathematical Society Gazette, Vol. 30 (4), 2003)"This is the second, much revised and augmented edition of the book originally published in 1998. It intends to close the gap between undergraduate and graduate studies in number theory, classical geometry and modern algebra. … Each of the chapters is a good read and the book adds up to a wholly appealing entity. … It can be warmly recommended … . I can well imagine that teachers … as well as scientists … will benefit from this carefully worked-out textbook." (J. Lang, Internationale Mathematische Nachrichten, Vol. 57 (192), 2003), From the reviews of the second edition:"Toth "s Glimpses " offer selected material that connect algebra and geometry . This second edition is a revised and substantially expanded version, so for example it includes a detailed treatment of the solution of the cubic and quartic, as well as a long new chapter on Klein "s famous work on the quintic and the icosahedron." (G nter M. Ziegler, Zentralblatt MATH, Vol. 1027, 2004)"The book is intended “ and really manages it “ to fill undergraduates with enthusiasm to reach the graduate level. the author presents various topics of number theory, geometry and algebra and at the same time shows their connection resp. interplay, thus making the study lively and fascinating for the reader. information on advanced websites and films show how carefully the author has done his job. So this second edition hopefully will not be the last one." (G. Kowol, Monatshefte f r Mathematik, Vol. 141 (2), 2004)"The text covers a wide range of topics and gives a taste of advanced material in number theory, geometry and algebra, particularly where these fields overlap. there are plenty of references for the interested reader who wishes to pursue a particular topic in greater depth. the accessibility of the format and the flow of the material combine to create an entertaining and informative work. I recommend the text as a good read for mathematicians of all specialities. " (Stephen Lucas, The Australian Mathematical Society Gazette, Vol. 30 (4), 2003)"This is the second, much revised and augmented edition of the book originally published in 1998. It intends to close the gap between undergraduate and graduate studies in number theory, classical geometry and modern algebra. Each of the chapters is a good read and the book adds up to a wholly appealing entity. It can be warmly recommended . I can well imagine that teachers as well as scientists will benefit from this carefully worked-out textbook." (J. Lang, Internationale Mathematische Nachrichten, Vol. 57 (192), 2003), From the reviews of the second edition: "Toth's 'Glimpses' offer selected material that connect algebra and geometry ... . This second edition is a revised and substantially expanded version, so for example it includes a detailed treatment of the solution of the cubic and quartic, as well as a long new chapter on Klein's famous work on the quintic and the icosahedron." (Gnter M. Ziegler, Zentralblatt MATH, Vol. 1027, 2004) "The book is intended - and really manages it - to fill undergraduates with enthusiasm to reach the graduate level. ... the author presents various topics of number theory, geometry and algebra and at the same time shows their connection resp. interplay, thus making the study lively and fascinating for the reader. ... information on advanced websites and films show how carefully the author has done his job. So this second edition hopefully will not be the last one." (G. Kowol, Monatshefte fr Mathematik, Vol. 141 (2), 2004) "The text covers a wide range of topics and gives a taste of advanced material in number theory, geometry and algebra, particularly where these fields overlap. ... there are plenty of references for the interested reader who wishes to pursue a particular topic in greater depth. ... the accessibility of the format and the flow of the material combine to create an entertaining and informative work. I recommend the text as a good read for mathematicians of all specialities. " (Stephen Lucas, The Australian Mathematical Society Gazette, Vol. 30 (4), 2003) "This is the second, much revised and augmented edition of the book originally published in 1998. It intends to close the gap between undergraduate and graduate studies in number theory, classical geometry and modern algebra. ... Each of the chapters is a good read and the book adds up to a wholly appealing entity. ... It can be warmly recommended ... . I can well imagine that teachers ... as well as scientists ... will benefit from this carefully worked-out textbook." (J. Lang, Internationale Mathematische Nachrichten, Vol. 57 (192), 2003), From the reviews of the second edition:"Toth's 'Glimpses' offer selected material that connect algebra and geometry ... . This second edition is a revised and substantially expanded version, so for example it includes a detailed treatment of the solution of the cubic and quartic, as well as a long new chapter on Klein's famous work on the quintic and the icosahedron." (Günter M. Ziegler, Zentralblatt MATH, Vol. 1027, 2004)"The book is intended - and really manages it - to fill undergraduates with enthusiasm to reach the graduate level. ... the author presents various topics of number theory, geometry and algebra and at the same time shows their connection resp. interplay, thus making the study lively and fascinating for the reader. ... information on advanced websites and films show how carefully the author has done his job. So this second edition hopefully will not be the last one." (G. Kowol, Monatshefte für Mathematik, Vol. 141 (2), 2004)"The text covers a wide range of topics and gives a taste of advanced material in number theory, geometry and algebra, particularly where these fields overlap. ... there are plenty of references for the interested reader who wishes to pursue a particular topic in greater depth. ... the accessibility of the format and the flow of the material combine to create an entertaining and informative work. I recommend the text as a good read for mathematicians of all specialities. " (Stephen Lucas, The Australian Mathematical Society Gazette, Vol. 30 (4), 2003)"This is the second, much revised and augmented edition of the book originally published in 1998. It intends to close the gap between undergraduate and graduate studies in number theory, classical geometry and modern algebra. ... Each of the chapters is a good read and the book adds up to a wholly appealing entity. ... It can be warmly recommended ... . I can well imagine that teachers ... as well as scientists ... will benefit from this carefully worked-out textbook." (J. Lang, Internationale Mathematische Nachrichten, Vol. 57 (192), 2003)
Table of Content
"A Number Is a Multitude Composed of Units"--Euclid.- "... There Are No Irrational Numbers at All"--Kronecker.- Rationality, Elliptic Curves, and Fermat's Last Theorem.- Algebraic or Transcendental?.- Complex Arithmetic.- Quadratic, Cubic, and Quartic Equations.- Stereographic Projection.- Proof of the Fundamental Theorem of Algebra.- Symmetries of Regular Polygons.- Discrete Subgroups of Iso (R2).- Möbius Geometry.- Complex Linear Fractional Transformations.- "Out of Nothing I Have Created a New Universe"--Bolyai.- Fuchsian Groups.- Riemann Surfaces.- General Surfaces.- The Five Platonic Solids.- Finite Möbius Groups.- Detour in Topology: Euler-Poincaré Characteristic.- Detour in Graph Theory: Euler, Hamilton, and the Four Color Theorem.- Dimension Leap.- Quaternions.- Back to R3!.- Invariants.- The Icosahedron and the Unsolvable Quintic.- The Fourth Dimension.
Copyright Date
2002
Topic
Geometry / General, Algebra / General, Number Theory, Mathematical Analysis
Dewey Decimal
512/.12
Intended Audience
Scholarly & Professional
Dewey Edition
21
Illustrated
Yes
Genre
Mathematics
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WRAP Ltd
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OX10 9TA
United Kingdom
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- GB 724498118
Numer rejestracyjny (REGON):
- 03800600
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The book is in condition advertised ("very good"). Was packaged well for shipping and arrived in a timely fashion. No complaints. Thanks.