Fischer, Gerd Plane Algebraic Curves (Student Mathematical Library)

# Plane Algebraic Curves (Student Mathematical Library)

## Fischer, Gerd

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The study of the zeroes of polynomials, which for one variable is essentially algebraic, becomes a geometric theory for several variables. In this book, Fischer looks at the classic entry point to the subject: plane algebraic curves. Here one quickly sees the mix of algebra and geometry, as well as analysis and topology, that is typical of complex algebraic geometry, but without the need for advanced techniques from commutative algebra or the abstract machinery of sheaves and schemes. In the first half of this book, Fischer introduces some elementary geometrical aspects, such as tangents, singularities, inflection points, and so on. The main technical tool is the concept of intersection multiplicity and Bézout's theorem. This part culminates in the beautiful Plücker formulas, which relate the various invariants introduced earlier. The second part of the book is essentially a detailed outline of modern methods of local analytic geometry in the context of complex curves. This provides the stronger tools needed for a good understanding of duality and an efficient means of computing intersection multiplicities introduced earlier. Thus, we meet rings of power series, germs of curves, and formal parametrizations. Finally, through the patching of the local information, a Riemann surface is associated to an algebraic curve, thus linking the algebra and the analysis. Concrete examples and figures are given throughout the text, and when possible, procedures are given for computing by using polynomials and power series. Several appendices gather supporting material from algebra and topology and expand on interesting geometric topics. This is an excellent introduction to algebraic geometry, which assumes only standard undergraduate mathematical topics: complex analysis, rings and fields, and topology. Reading this book will help the student establish the appropriate geometric intuition that lies behind the more advanced ideas and techniques used in the study of higher dimensional varieties. This is the English translation of a German work originally published by Vieweg Verlag (Wiesbaden, Germany

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## 1.Plane Algebraic Curves (Student Mathematical Library, V. 15)

Editorial: American Mathematical Society (2001)
ISBN 10: 0821821229 ISBN 13: 9780821821220
Librería
Sequitur Books
(Boonsboro, MD, Estados Unidos de America)
Valoración

Descripción American Mathematical Society, 2001. Paperback. Estado de conservación: New. Brand new. We distribute directly for the publisher. The study of the zeroes of polynomials, which for one variable is essentially algebraic, becomes a geometric theory for several variables. In this book, Fischer looks at the classic entry point to the subject: plane algebraic curves. Here one quickly sees the mix of algebra and geometry, as well as analysis and topology, that is typical of complex algebraic geometry, but without the need for advanced techniques from commutative algebra or the abstract machinery of sheaves and schemes.In the first half of this book, Fischer introduces some elementary geometrical aspects, such as tangents, singularities, inflection points, and so on. The main technical tool is the concept of intersection multiplicity and Bézout's theorem. This part culminates in the beautiful Plücker formulas, which relate the various invariants introduced earlier.The second part of the book is essentially a detailed outline of modern methods of local analytic geometry in the context of complex curves. This provides the stronger tools needed for a good understanding of duality and an efficient means of computing intersection multiplicities introduced earlier. Thus, we meet rings of power series, germs of curves, and formal parametrizations. Finally, through the patching of the local information, a Riemann surface is associated to an algebraic curve, thus linking the algebra and the analysis.Concrete examples and figures are given throughout the text, and when possible, procedures are given for computing by using polynomials and power series. Several appendices gather supporting material from algebra and topology and expand on interesting geometric topics.This is an excellent introduction to algebraic geometry, which assumes only standard undergraduate mathematical topics: complex analysis, rings and fields, and topology. Reading this book will help the student establish the appropriate geometric intuition that lies behind the more advanced ideas and techniques used in the study of higher dimensional varieties.This is the English translation of a German work originally published by Vieweg Verlag (Wiesbaden, Germany). Nº de ref. de la librería 1006100128

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## 2.Plane Algebraic Curves (Paperback)

Editorial: American Mathematical Society, United States (2001)
ISBN 10: 0821821229 ISBN 13: 9780821821220
Librería
The Book Depository
(London, Reino Unido)
Valoración

Descripción American Mathematical Society, United States, 2001. Paperback. Estado de conservación: New. 213 x 140 mm. Language: English . Brand New Book. The study of the zeroes of polynomials, which for one variable is essentially algebraic, becomes a geometric theory for several variables. In this book, Fischer looks at the classic entry point to the subject: plane algebraic curves. Here one quickly sees the mix of algebra and geometry, as well as analysis and topology, that is typical of complex algebraic geometry, but without the need for advanced techniques from commutative algebra or the abstract machinery of sheaves and schemes. In the first half of this book, Fischer introduces some elementary geometrical aspects, such as tangents, singularities, inflection points, and so on.The main technical tool is the concept of intersection multiplicity and Bezout s theorem. This part culminates in the beautiful Plucker formulas, which relate the various invariants introduced earlier. The second part of the book is essentially a detailed outline of modern methods of local analytic geometry in the context of complex curves. This provides the stronger tools needed for a good understanding of duality and an efficient means of computing intersection multiplicities introduced earlier. Thus, we meet rings of power series, germs of curves, and formal parametrizations. Finally, through the patching of the local information, a Riemann surface is associated to an algebraic curve, thus linking the algebra and the analysis.Concrete examples and figures are given throughout the text, and when possible, procedures are given for computing by using polynomials and power series. Several appendices gather supporting material from algebra and topology and expand on interesting geometric topics. This is an excellent introduction to algebraic geometry, which assumes only standard undergraduate mathematical topics: complex analysis, rings and fields, and topology. Reading this book will help the student establish the appropriate geometric intuition that lies behind the more advanced ideas and techniques used in the study of higher dimensional varieties. This is the English translation of a German work originally published by Vieweg Verlag (Wiesbaden, Germany). Nº de ref. de la librería AAN9780821821220

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## 3.Plane Algebraic Curves (Paperback)

Editorial: American Mathematical Society, United States (2001)
ISBN 10: 0821821229 ISBN 13: 9780821821220
Librería
The Book Depository US
(London, Reino Unido)
Valoración

Descripción American Mathematical Society, United States, 2001. Paperback. Estado de conservación: New. 213 x 140 mm. Language: English . Brand New Book. The study of the zeroes of polynomials, which for one variable is essentially algebraic, becomes a geometric theory for several variables. In this book, Fischer looks at the classic entry point to the subject: plane algebraic curves. Here one quickly sees the mix of algebra and geometry, as well as analysis and topology, that is typical of complex algebraic geometry, but without the need for advanced techniques from commutative algebra or the abstract machinery of sheaves and schemes. In the first half of this book, Fischer introduces some elementary geometrical aspects, such as tangents, singularities, inflection points, and so on.The main technical tool is the concept of intersection multiplicity and Bezout s theorem. This part culminates in the beautiful Plucker formulas, which relate the various invariants introduced earlier. The second part of the book is essentially a detailed outline of modern methods of local analytic geometry in the context of complex curves. This provides the stronger tools needed for a good understanding of duality and an efficient means of computing intersection multiplicities introduced earlier. Thus, we meet rings of power series, germs of curves, and formal parametrizations. Finally, through the patching of the local information, a Riemann surface is associated to an algebraic curve, thus linking the algebra and the analysis.Concrete examples and figures are given throughout the text, and when possible, procedures are given for computing by using polynomials and power series. Several appendices gather supporting material from algebra and topology and expand on interesting geometric topics. This is an excellent introduction to algebraic geometry, which assumes only standard undergraduate mathematical topics: complex analysis, rings and fields, and topology. Reading this book will help the student establish the appropriate geometric intuition that lies behind the more advanced ideas and techniques used in the study of higher dimensional varieties. This is the English translation of a German work originally published by Vieweg Verlag (Wiesbaden, Germany). Nº de ref. de la librería AAN9780821821220

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## 4.Plane Algebraic Curves

Editorial: American Mathematical Society
ISBN 10: 0821821229 ISBN 13: 9780821821220
Librería
THE SAINT BOOKSTORE
(Southport, Reino Unido)
Valoración

Descripción American Mathematical Society. Paperback. Estado de conservación: new. BRAND NEW, Plane Algebraic Curves, Gerd Fischer, The study of the zeroes of polynomials, which for one variable is essentially algebraic, becomes a geometric theory for several variables. In this book, Fischer looks at the classic entry point to the subject: plane algebraic curves. Here one quickly sees the mix of algebra and geometry, as well as analysis and topology, that is typical of complex algebraic geometry, but without the need for advanced techniques from commutative algebra or the abstract machinery of sheaves and schemes. In the first half of this book, Fischer introduces some elementary geometrical aspects, such as tangents, singularities, inflection points, and so on.The main technical tool is the concept of intersection multiplicity and Bezout's theorem. This part culminates in the beautiful Plucker formulas, which relate the various invariants introduced earlier. The second part of the book is essentially a detailed outline of modern methods of local analytic geometry in the context of complex curves. This provides the stronger tools needed for a good understanding of duality and an efficient means of computing intersection multiplicities introduced earlier. Thus, we meet rings of power series, germs of curves, and formal parametrizations. Finally, through the patching of the local information, a Riemann surface is associated to an algebraic curve, thus linking the algebra and the analysis.Concrete examples and figures are given throughout the text, and when possible, procedures are given for computing by using polynomials and power series. Several appendices gather supporting material from algebra and topology and expand on interesting geometric topics. This is an excellent introduction to algebraic geometry, which assumes only standard undergraduate mathematical topics: complex analysis, rings and fields, and topology. Reading this book will help the student establish the appropriate geometric intuition that lies behind the more advanced ideas and techniques used in the study of higher dimensional varieties. This is the English translation of a German work originally published by Vieweg Verlag (Wiesbaden, Germany). Nº de ref. de la librería B9780821821220

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## 5.Plane Algebraic Curves (Student Mathematical Library, V. 15)

Editorial: American Mathematical Society (2001)
ISBN 10: 0821821229 ISBN 13: 9780821821220
Librería
Book Deals
(Lewiston, NY, Estados Unidos de America)
Valoración

Descripción American Mathematical Society, 2001. Estado de conservación: New. Brand New, Unread Copy in Perfect Condition. A+ Customer Service! Summary: The study of the zeroes of polynomials, which for one variable is essentially algebraic, becomes a geometric theory for several variables. In this book, Fischer looks at the classic entry point to the subject: plane algebraic curves. Here one quickly sees the mix of algebra and geometry, as well as analysis and topology, that is typical of complex algebraic geometry, but without the need for advanced techniques from commutative algebra or the abstract machinery of sheaves and schemes. In the first half of this book, Fischer introduces some elementary geometrical aspects, such as tangents, singularities, inflection points, and so on. The main technical tool is the concept of intersection multiplicity and Bzout's theorem. This part culminates in the beautiful Plcker formulas, which relate the various invariants introduced earlier. The second part of the book is essentially a detailed outline of modern methods of local analytic geometry in the context of complex curves. This provides the stronger tools needed for a good understanding of duality and an efficient means of computing intersection multiplicities introduced earlier. Thus, we meet rings of power series, germs of curves, and formal parametrizations. Finally, through the patching of the local information, a Riemann surface is associated to an algebraic curve, thus linking the algebra and the analysis. Concrete examples and figures are given throughout the text, and when possible, procedures are given for computing by using polynomials and power series. Several appendices gather supporting material from algebra and topology and expand on interesting geometric topics. This is an excellent introduction to algebraic geometry, which assumes only standard undergraduate mathematical topics: complex analysis, rings and fields, and topology. Reading this book will help the student establish the appropriate geometric intuition that lies behind the more advanced ideas and techniques used in the study of higher dimensional varieties. This is the English translation of a German work originally published by Vieweg Verlag (Wiesbaden, Germany. Nº de ref. de la librería ABE_book_new_0821821229

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## 6.Plane Algebraic Curves

Editorial: American Mathematical Society (2001)
ISBN 10: 0821821229 ISBN 13: 9780821821220
Librería
Books2Anywhere
(Fairford, GLOS, Reino Unido)
Valoración

Descripción American Mathematical Society, 2001. PAP. Estado de conservación: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Nº de ref. de la librería CE-9780821821220

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## 7.Plane Algebraic Curves (Student Mathematical Library, V. 15)

Editorial: American Mathematical Society (2001)
ISBN 10: 0821821229 ISBN 13: 9780821821220
Librería
Ergodebooks
(RICHMOND, TX, Estados Unidos de America)
Valoración

Descripción American Mathematical Society, 2001. Paperback. Estado de conservación: New. Nº de ref. de la librería DADAX0821821229

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## 8.Plane Algebraic Curves (Student Mathematical Library, V. 15)

Editorial: American Mathematical Society (2001)
ISBN 10: 0821821229 ISBN 13: 9780821821220
Librería
Irish Booksellers
(Rumford, ME, Estados Unidos de America)
Valoración

Descripción American Mathematical Society, 2001. Paperback. Estado de conservación: New. book. Nº de ref. de la librería 0821821229

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## 9.Plane Algebraic Curves (Student Mathematical Library, V. 15)

Editorial: Amer Mathematical Society (2001)
ISBN 10: 0821821229 ISBN 13: 9780821821220
Librería
Revaluation Books
(Exeter, Reino Unido)
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Descripción Amer Mathematical Society, 2001. Paperback. Estado de conservación: Brand New. 231 pages. 8.25x5.50x0.50 inches. In Stock. Nº de ref. de la librería __0821821229

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## 10.Plane Algebraic Curves (Paperback)

ISBN 10: 0821821229 ISBN 13: 9780821821220
Librería
AussieBookSeller
(Lidcombe, NSW, Australia)
Valoración

Descripción 2001. Paperback. Estado de conservación: New. 219mm x 143mm x 213mm. Paperback. The study of the zeroes of polynomials, which for one variable is essentially algebraic, becomes a geometric theory for several variables. In this book, Fischer looks at the c.Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. 206 pages. 0.310. Nº de ref. de la librería 9780821821220

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