Overview
This Computer Algebra Handbook gives a comprehensive snapshot of this field at the intersection of mathematics and computer science with applications in physics, engineering and education. It contains both theory, systems and practice of the discipline of symbolic computation and computer algebra. With the wide angle of a ""lense"" of about 200 contributors it shows the state of computer algebra research and applications in the last decade of the twentieth century. Aside from discussing the foundations of computer algebra, the handbook describes 67 software systems and packages that perform tasks in symbolic computation. In addition, the handbook offers 100 pages on applications in physics, mathematics, computer science, engineering chemistry and education. The book is accompanied by a CD-ROM, containing demo versions for most of the computer algebra systems treated in the book, as well as links to further information on some of these. This book will be very useful as a reference to graduate students and researchers in symbolic computation and computer algebra.
Full Product Details
Author: Johannes Grabmeier ,
M. Hitz ,
Erich Kaltofen ,
Volker Weispfenning
Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition: 2003 ed.
Dimensions:
Width: 15.60cm
, Height: 3.60cm
, Length: 23.40cm
Weight: 1.236kg
ISBN: 9783540654667
ISBN 10: 3540654666
Pages: 637
Publication Date: 26 November 2002
Audience:
General/trade
,
College/higher education
,
Professional and scholarly
,
General
,
Postgraduate, Research & Scholarly
Format: Hardback
Publisher's Status: Active
Availability: In Print
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Reviews
From the reviews: This is a substantially enlarged report originally covering the state and future of computer algebra in Germany. ... Overall, it gives a high-level (in the sense of abstraction; no theorems, let alone proofs, are in general provided) autoritative overview of what is going on and should be of help to poeple looking for a research topic, software for specific problems or, later on, writing on the history of the subject. H.Muthsam, Monatshefte fur Mathematik 142, issue 2, p. 170, 2004 This handbook is very impressive. Written by more than two hundred spcialists, this international eidition of a previous German report presents the state of the art of a large field of computational mathematics called computer algebra. .... So, as Bob Caviness says in the preface of the book, Gentle reader, I recommend this volume and all its concepts, symbols, and algorihtms to you. J.M.Ollagnier, Mathematical Reviews Clippings from Issue 2004h This encyclopaedic book is a wonderful source of information on computer algebra. ... Although most people who come to this book will probably use it as an encyclopaedia, it is much more than that. Researchers in coputer algebra will benefit from the extensive bibliography, and lecturers will find it a mine of ideas for interesting topics that might be discussed in a course on computer algebra and its applications. Finally, to all computer algebra aficionados this book will also provide wonderful entertainment for many a rainy day. S.C.Coutinho, The Mathematical Gazette Vol. 88, Issue 512 (2004) 410-411 ... A handbook must be considered as well-composed if it addresses all issues of the area and if its individual articles provide rough surveys of their subject and point the reader to the relevant recent literature. From this point of view, this Computer Algebra Handbook is certainly well-composed: To strangers of the area it offers easy gathering of information about a particular subject (to be located either through the Table of Contents or the Subject Index ; to experts in computer algebra, it provides access to subjects outside their expertise. ... The team of editors must be congratulated upon succeeding in collecting contributions of more than 200 authors which make a concise and homogeneous volume. H.Stetter, IMN - Internationale Mathematische Nachrichten 194, 2003 ... The interesting focus of the book is the fact that the editors have been able to encourage about 200 specialsit on different branches of the subject to contribute to the project. ... In fact it is a handbook of present day status of computer algebra. It may serve as an encyclopedia of computer algebra for an interested user. Moreover it might be useful for any potential user to consult the book for the presnet day status of the problems he has in mind. So it could be helpful to pursue her or his own work by integrating methods from computer algebra. One should be grateful to the editors to organize this amount of work in order to integrate the international computer algebra community for such an anlysis of the present day state of the field. P.Schenzel, Zentralblatt fur Mathematik 1017.68162, 2003 In fact it is a handbook of present day status of the computer algebra. It may serve as an encyclopedia of computer algebra for an interested user. ... So it could be helpful to pursue her or his own work by integrating methods from computer algebra. One should be grateful to the editors to organize this amount of work in order to integrate the international computer algebra community for such an analysis of the present day state of the field. (Peter Schenzel, Zentralblatt MATH, Issue 1017, 2003) This is a substantially enlarged report originally covering the state and future of computer algebra in Germany. ... Overall, it gives a high-level ... authoritative overview of what is going on and should be of help to people looking for a research topic, software for specific problems or, later on, writing on the history of the subject. (H. Muthsam, Monatshefte fur Mathematik, Vol. 143 (2), 2004) This encyclopaedic book is a wonderful source of information on computer algebra. ... Although most people who come to this book will probably use it as an encyclopaedia, it is much more than that. Researchers in computer algebra will benefit from the extensive bibliography, and lecturers will find in it a mine of ideas for interesting topics that might be discussed in a course ... . Finally, to all computer algebra aficionados this book will also provide wonderful entertainment for many a rainy day. (S. C. Coutinho, The Mathematical Gazette, Vol. 88 (512), 2004) This handbook is very impressive. Written by more than two hundred specialists, this international edition of a previous German report presents the state of the art of a large field of computational mathematics called computer algebra. Both aspects of this wide domain are well described. ... So, as Bob Caviness says in the preface of the book, `Gentle reader, I recommend this volume and all its concepts, symbols, and algorithms to you.' (Jean Moulin Ollagnier, Mathematical Reviews, 2004 h) A handbook must be considered as well-composed if it addresses `all' issues of the area and if its individual articles provide rough surveys of their subject and point the reader to the relevant recent literature. From this point of view, this Computer Algebra Handbook is certainly well-composed ... . The team of editors must be congratulated upon succeeding in collecting contributions of more than 200 authors which make a concise and homogeneous volume. (H. Stetter, Internationale Mathematische Nachrichten, Issue 194, 2003) This is a handbook on computer algebra that intends to be as complete as possible, taking into account the large amount of available computer software. The book shows the state of research and applications in the last decade of the twentieth century. ... There are over 200 contributing authors ... resulting in a diversity of styles and concepts. ... a useful handbook both for experts and non-experts, and it could have a broader impact thanks to the diversity of multiple authorship. (Paula Bruggen, Bulletin of the Belgian Mathematical Society, 2007)
From the reviews: This is a substantially enlarged report originally covering the state and future of computer algebra in Germany. ... Overall, it gives a high-level (in the sense of abstraction; no theorems, let alone proofs, are in general provided) autoritative overview of what is going on and should be of help to poeple looking for a research topic, software for specific problems or, later on, writing on the history of the subject. H.Muthsam, Monatshefte fur Mathematik 142, issue 2, p. 170, 2004 This handbook is very impressive. Written by more than two hundred spcialists, this international eidition of a previous German report presents the state of the art of a large field of computational mathematics called computer algebra. .... So, as Bob Caviness says in the preface of the book, Gentle reader, I recommend this volume and all its concepts, symbols, and algorihtms to you. J.M.Ollagnier, Mathematical Reviews Clippings from Issue 2004h This encyclopaedic book is a wonderful source of information on computer algebra. ... Although most people who come to this book will probably use it as an encyclopaedia, it is much more than that. Researchers in coputer algebra will benefit from the extensive bibliography, and lecturers will find it a mine of ideas for interesting topics that might be discussed in a course on computer algebra and its applications. Finally, to all computer algebra aficionados this book will also provide wonderful entertainment for many a rainy day. S.C.Coutinho, The Mathematical Gazette Vol. 88, Issue 512 (2004) 410-411 ... A handbook must be considered as well-composed if it addresses all issues of the area and if its individual articles provide rough surveys of their subject and point the reader to the relevant recent literature. From this point of view, this Computer Algebra Handbook is certainly well-composed: To strangers of the area it offers easy gathering of information about a particular subject (to be located either through the Table of Contents or the Subject Index ; to experts in computer algebra, it provides access to subjects outside their expertise. ... The team of editors must be congratulated upon succeeding in collecting contributions of more than 200 authors which make a concise and homogeneous volume. H.Stetter, IMN - Internationale Mathematische Nachrichten 194, 2003 ... The interesting focus of the book is the fact that the editors have been able to encourage about 200 specialsit on different branches of the subject to contribute to the project. ... In fact it is a handbook of present day status of computer algebra. It may serve as an encyclopedia of computer algebra for an interested user. Moreover it might be useful for any potential user to consult the book for the presnet day status of the problems he has in mind. So it could be helpful to pursue her or his own work by integrating methods from computer algebra. One should be grateful to the editors to organize this amount of work in order to integrate the international computer algebra community for such an anlysis of the present day state of the field. P.Schenzel, Zentralblatt fur Mathematik 1017.68162, 2003 In fact it is a handbook of present day status of the computer algebra. It may serve as an encyclopedia of computer algebra for an interested user. ... So it could be helpful to pursue her or his own work by integrating methods from computer algebra. One should be grateful to the editors to organize this amount of work in order to integrate the international computer algebra community for such an analysis of the present day state of the field. (Peter Schenzel, Zentralblatt MATH, Issue 1017, 2003) This is a substantially enlarged report originally covering the state and future of computer algebra in Germany. ... Overall, it gives a high-level ... authoritative overview of what is going on and should be of help to people looking for a research topic, software for specific problems or, later on, writing on the history of the subject. (H. Muthsam, Monatshefte fur Mathematik, Vol. 143 (2), 2004) This encyclopaedic book is a wonderful source of information on computer algebra. ... Although most people who come to this book will probably use it as an encyclopaedia, it is much more than that. Researchers in computer algebra will benefit from the extensive bibliography, and lecturers will find in it a mine of ideas for interesting topics that might be discussed in a course ... . Finally, to all computer algebra aficionados this book will also provide wonderful entertainment for many a rainy day. (S. C. Coutinho, The Mathematical Gazette, Vol. 88 (512), 2004) This handbook is very impressive. Written by more than two hundred specialists, this international edition of a previous German report presents the state of the art of a large field of computational mathematics called computer algebra. Both aspects of this wide domain are well described. ... So, as Bob Caviness says in the preface of the book, `Gentle reader, I recommend this volume and all its concepts, symbols, and algorithms to you.' (Jean Moulin Ollagnier, Mathematical Reviews, 2004 h) A handbook must be considered as well-composed if it addresses `all' issues of the area and if its individual articles provide rough surveys of their subject and point the reader to the relevant recent literature. From this point of view, this Computer Algebra Handbook is certainly well-composed ... . The team of editors must be congratulated upon succeeding in collecting contributions of more than 200 authors which make a concise and homogeneous volume. (H. Stetter, Internationale Mathematische Nachrichten, Issue 194, 2003) This is a handbook on computer algebra that intends to be as complete as possible, taking into account the large amount of available computer software. The book shows the state of research and applications in the last decade of the twentieth century. ... There are over 200 contributing authors ... resulting in a diversity of styles and concepts. ... a useful handbook both for experts and non-experts, and it could have a broader impact thanks to the diversity of multiple authorship. (Paula Bruggen, Bulletin of the Belgian Mathematical Society, 2007)
From the reviews: <p> This is a substantially enlarged report originally covering the state and future of computer algebra in Germany. ... Overall, it gives a high-level (in the sense of abstraction; no theorems, let alone proofs, are in general provided) autoritative overview of what is going on and should be of help to poeple looking for a research topic, software for specific problems or, later on, writing on the history of the subject. <p>H.Muthsam, Monatshefte fA1/4r Mathematik 142, issue 2, p. 170, 2004 <p> This handbook is very impressive. Written by more than two hundred spcialists, this international eidition of a previous German report presents the state of the art of a large field of computational mathematics called computer algebra. .... So, as Bob Caviness says in the preface of the book, Gentle reader, I recommend this volume and all its concepts, symbols, and algorihtms to you. <p>J.M.Ollagnier, Mathematical Reviews Clippings from Issue 2004h <p> This encyclopaedic book is a wonderful source of information on computer algebra. ... Although most people who come to this book will probably use it as an encyclopaedia, it is much more than that. Researchers in coputer algebra will benefit from the extensive bibliography, and lecturers will find it a mine of ideas for interesting topics that might be discussed in a course on computer algebra and its applications. Finally, to all computer algebra aficionados this book will also provide wonderful entertainment for many a rainy day. <p>S.C.Coutinho, The Mathematical Gazette Vol. 88, Issue 512 (2004) 410-411 <p>.,. A handbook must be considered as well-composed if it addresses all issues of the area and if its individualarticles provide rough surveys of their subject and point the reader to the relevant recent literature. From this point of view, this Computer Algebra Handbook is certainly well-composed: To strangers of the area it offers easy gathering of information about a particular subject (to be located either through the Table of Contents or the Subject Index ; to experts in computer algebra, it provides access to subjects outside their expertise. ... The team of editors must be congratulated upon succeeding in collecting contributions of more than 200 authors which make a concise and homogeneous volume. <p>H.Stetter, IMN - Internationale Mathematische Nachrichten 194, 2003 <p>.,. The interesting focus of the book is the fact that the editors have been able to encourage about 200 specialsit on different branches of the subject to contribute to the project. ... In fact it is a handbook of present day status of computer algebra. It may serve as an encyclopedia of computer algebra for an interested user. Moreover it might be useful for any potential user to consult the book for the presnet day status of the problems he has in mind. So it could be helpful to pursue her or his own work by integrating methods from computer algebra. One should be grateful to the editors to organize this amount of work in order to integrate the international computer algebra community for such an anlysis of the present day state of the field. <p>P.Schenzel, Zentralblatt fA1/4r Mathematik 1017.68162, 2003 <p> Mit dieser kurzen Besprechung mAchte ich auf ein eindrucksvolles Gemeinschaftswerk hinweisen.... Angesichts der ungeheuren Breite des mathematischen Objektbereiches mussten die Editoren gewisse Auswahlen treffen;erfreulicherweise nicht vor allem durch AusschlA1/4sse von Gebieten, aber in einer Graduierung der Darstellung. ... Die Computeralgebra, und dies wird in diesem Werk deutlich, ist nicht mehr nur eine Hilfs- oder ErgAnzungsdisziplin zur eigentlichen Algebra, ihre ForschungsgegenstAnde, Darstellungsstil und Methodik haben Substanz. Es war mir persAnlich eine groAe Genugtuung, so vielem und vielen (nicht allem und allen, wer wollte das verlangen) in so erfreulicher Weise wieder zu begegnen. <p>Erwin Engeler (ZA1/4rich), for complete review see http: //www.fachgruppe-computeralgebra.de/CAR/CAR32/node32.html <p> In fact it is a handbook of present day status of the computer algebra. It may serve as an encyclopedia of computer algebra for an interested user. a ] So it could be helpful to pursue her or his own work by integrating methods from computer algebra. One should be grateful to the editors to organize this amount of work in order to integrate the international computer algebra community for such an analysis of the present day state of the field. (Peter Schenzel, Zentralblatt MATH, Issue 1017, 2003) <p> This is a substantially enlarged report originally covering the state and future of computer algebra in Germany. a ] Overall, it gives a high-level a ] authoritative overview of what is going on and should be of help to people looking for a research topic, software for specific problems or, later on, writing on the history of the subject. (H. Muthsam, Monatshefte fA1/4r Mathematik, Vol. 143 (2), 2004) <p> This encyclopaedic book is a wonderful source of information on computer algebra. a ] Although most people who come to this book will probably use it as an encyclopaedia, it ismuch more than that. Researchers in computer algebra will benefit from the extensive bibliography, and lecturers will find in it a mine of ideas for interesting topics that might be discussed in a course a ] . Finally, to all computer algebra aficionados this book will also provide wonderful entertainment for many a rainy day. (S. C. Coutinho, The Mathematical Gazette, Vol. 88 (512), 2004) <p> This handbook is very impressive. Written by more than two hundred specialists, this international edition of a previous German report presents the state of the art of a large field of computational mathematics called computer algebra. Both aspects of this wide domain are well described. a ] So, as Bob Caviness says in the preface of the book, a ~Gentle reader, I recommend this volume and all its concepts, symbols, and algorithms to you.a (TM) (Jean Moulin Ollagnier, Mathematical Reviews, 2004 h) <p> A handbook must be considered as well-composed if it addresses a ~alla (TM) issues of the area and if its individual articles provide rough surveys of their subject and point the reader to the relevant recent literature. From this point of view, this Computer Algebra Handbook is certainly well-composed a ] . The team of editors must be congratulated upon succeeding in collecting contributions of more than 200 authors which make a concise and homogeneous volume. (H. Stetter, Internationale Mathematische Nachrichten, Issue 194, 2003)
Mit dieser kurzen Besprechung mochte ich auf ein eindrucksvolles Gemeinschaftswerk hinweisen... Angesichts der ungeheuren Breite des mathematischen Objektbereiches mussten die Editoren gewisse Auswahlen treffen; erfreulicherweise nicht vor allem durch Ausschlusse von Gebieten, aber in einer Graduierung der Darstellung. ... Die Computeralgebra, und dies wird in diesem Werk deutlich, ist nicht mehr nur eine Hilfs- oder Erganzungsdisziplin zur eigentlichen Algebra, ihre Forschungsgegenstande, Darstellungsstil und Methodik haben Substanz. Es war mir personlich eine grosse Genugtuung, so vielem und vielen (nicht allem und allen, wer wollte das verlangen) in so erfreulicher Weise wieder zu begegnen. Erwin Engeler (Zurich), for complete review see http://www.fachgruppe-computeralgebra.de/CAR/CAR32/node32.html
