Algebraic Topology - Homotopy and Homology

Author: Robert M. Switzer

Publisher: Springer

ISBN: 3642619231

Category: Mathematics

Page: 526

View: 609

From the reviews: "The author has attempted an ambitious and most commendable project. [...] The book contains much material that has not previously appeared in this format. The writing is clean and clear and the exposition is well motivated. [...] This book is, all in all, a very admirable work and a valuable addition to the literature." Mathematical Reviews
Posted in Mathematics

Computer Algebra in Scientific Computing

9th International Workshop, CASC 2006, Chisinau, Moldova, September 11-15, 2006, Proceedings

Author: V.G. Ganzha,E.W. Mayr,E.V. Vorozhtsov

Publisher: Springer

ISBN: 3540451951

Category: Computers

Page: 314

View: 9626

This book constitutes the refereed proceedings of the 9th International Workshop on Computer Algebra in Scientific Computing, CASC 2006. The book presents 25 revised full papers together with 2 invited papers, covering various expanding applications of computer algebra to scientific computing, the computer algebra systems themselves, and the CA algorithms. Topics addressed are studies in Gröbner bases, polynomial algebra, homological algebra, quantifier elimination, celestial mechanics, and more.
Posted in Computers

Computer Algebra in Scientific Computing CASC 2001

Proceedings of the Fourth International Workshop on Computer Algebra in Scientific Computing, Konstanz, Sept. 22-26, 2001

Author: Viktor G. Ganzha,Ernst W. Mayr,Evgenii V. Vorozhtsov

Publisher: Springer Science & Business Media

ISBN: 3642566669

Category: Computers

Page: 555

View: 5844

CASC 2001 continues a tradition ~ started in 1998 ~ of international con ferences on the latest advances in the application of computer algebra systems to the solution of various problems in scientific computing. The three ear (CASs) lier conferences in this sequence, CASC'98, CASC'99, and CASC 2000, were held, Petersburg, Russia, in Munich, Germany, and in Samarkand, respectively, in St. Uzbekistan, and proved to be very successful. We have to thank the program committee, listed overleaf, for a tremendous job in soliciting and providing reviews for the submitted papers. There were more than three reviews per submission on average. The result of this job is reflected in the present volume, which contains revised versions of the accepted papers. The collection of papers included in the proceedings covers various topics of computer algebra methods, algorithms and software applied to scientific computing. In particular, five papers are devoted to the implementation of the analysis of involutive systems with the aid of CASso The specific examples include new efficient algorithms for the computation of Janet bases for monomial ideals, involutive division, involutive reduction method, etc. A number of papers deal with application of CASs for obtaining and vali dating new exact solutions to initial and boundary value problems for partial differential equations in mathematical physics. Several papers show how CASs can be used to obtain analytic solutions of initial and boundary value problems for ordinary differential equations and for studying their properties.
Posted in Computers

An Invitation to Morse Theory

Author: LIVIU L AUTOR NICOLAESCU,Liviu I. Nicolaescu

Publisher: Springer Science & Business Media

ISBN: 0387495096

Category: Mathematics

Page: 241

View: 8728

This book offers readers a taste of the "unreasonable effectiveness" of Morse theory. It covers many of the most important topics in Morse theory along with applications. The book details topics such as Morse-Smale flows, min-max theory, moment maps and equivariant cohomology, and complex Morse theory. In addition, many examples, problems, and illustrations further enhance the value of this useful introduction to Morse Theory.
Posted in Mathematics

Lectures on Algebraic Topology

Author: Albrecht Dold

Publisher: Springer Science & Business Media

ISBN: 3642678211

Category: Mathematics

Page: 379

View: 5612

Springer is reissuing a selected few highly successful books in a new, inexpensive softcover edition to make them easily accessible to younger generations of students and researchers. Springer-Verlag began publishing books in higher mathematics in 1920. This is a reprint of the Second Edition.
Posted in Mathematics

C.

I.M. HOMOLOGY

Author: Saunders Mac Lane,Saunders MacLane

Publisher: Springer Science & Business Media

ISBN: 9783540586623

Category: Mathematics

Page: 422

View: 2389

In presenting this treatment of homological algebra, it is a pleasure to acknowledge the help and encouragement which I have had from all sides. Homological algebra arose from many sources in algebra and topology. Decisive examples came from the study of group extensions and their factor sets, a subject I learned in joint work with OTTO SCHIL LING. A further development of homological ideas, with a view to their topological applications, came in my long collaboration with SAMUEL ElLENBERG; to both collaborators, especial thanks. For many years the Air Force Office of Scientific Research supported my research projects on various subjects now summarized here; it is a pleasure to acknowledge their lively understanding of basic science. Both REINHOLD BAER and JOSEF SCHMID read and commented on my entire manuscript; their advice has led to many improvements. ANDERS KOCK and JACQUES RIGUET have read the entire galley proof and caught many slips and obscurities. Among the others whose sug gestions have served me well, I note FRANK ADAMS, LOUIS AUSLANDER, WILFRED COCKCROFT, ALBRECHT DOLD, GEOFFREY HORROCKS, FRIED RICH KASCH, JOHANN LEICHT, ARUNAS LIULEVICIUS, JOHN MOORE, DIE TER PUPPE, JOSEPH YAO, and a number of my current students at the University of Chicago - not to m~ntion the auditors of my lectures at Chicago, Heidelberg, Bonn, Frankfurt, and Aarhus. My wife, DOROTHY, has cheerfully typed more versions of more chapters than she would like to count. Messrs.
Posted in Mathematics

Computer Algebra in Scientific Computing

8th International Workshop, CASC 2005, Kalamata, Greece, September 12-16, 2005, Proceedings

Author: Victor G. Ganzha,Ernst W. Mayr,Evgenii V. Vorozhtsov

Publisher: Springer

ISBN: N.A

Category: Computers

Page: 502

View: 9192

This book constitutes the refereed proceedings of the 8th International Workshop on Computer Algebra in Scientific Computing, CASC 2005, held in Kalamata, Greece in September 2005. The 41 revised full papers presented were carefully reviewed and selected from 75 submissions. The topics addressed in the workshop cover all the basic areas of scientific computing as they benefit from the application of computer algebra methods and software: algebraic methods for nonlinear polynomial equations and inequalities, symbolic-numeric methods for differential and differential-algebraic equations, algorithmic and complexity considerations in computer algebra, algebraic methods in geometric modelling, aspects of computer algebra programming languages, automatic reasoning in algebra and geometry, complexity of algebraic problems, exact and approximate computation, parallel symbolic-numeric computation, Internet accessible symbolic and numeric computation, problem-solving environments, symbolic and numerical computation in systems engineering and modelling, computer algebra in industry, solving problems in the natural sciences, numerical simulation using computer algebra systems, mathematical communication.
Posted in Computers

Featured Reviews in Mathematical Reviews 1997-1999

With Selected Reviews of Classic Books and Papers from 1940-1969

Author: Donald G. Babbitt,Jane E. Kister

Publisher: American Mathematical Soc.

ISBN: 9780821896709

Category: Mathematics

Page: 541

View: 4929

This second volume of Featured Reviews makes available special detailed reviews of some of the most important mathematical articles and books published from 1997 through 1999. Also included are excellent reviews of several classic books and articles published prior to 1970. Among those reviews, for example, are the following: Homological Algebra by Henri Cartan and Samuel Eilenberg, reviewed by G. Hochschild; Faisceaux algebriques coherents by Jean-Pierre Serre, reviewed by C. Chevalley; and On the Theory of General Partial Differential Operators by Lars Hormander, reviewed by J. L. Lions. In particular, those seeking information on current developments outside their own area of expertise will find the volume very useful. By identifying some of the best publications, papers, and books that have had or are expected to have a significant impact in applied and pure mathematics, this volume will serve as a comprehensive guide to important new research across all fields covered by MR.
Posted in Mathematics

Algebraic & Geometric Topology

AGT.

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Algebraic topology

Page: N.A

View: 8131

Posted in Algebraic topology

Stable Homotopy and Generalised Homology

Author: J. F. Adams

Publisher: University of Chicago Press

ISBN: 9780226005249

Category: Mathematics

Page: 373

View: 8440

J. Frank Adams, the founder of stable homotopy theory, gave a lecture series at the University of Chicago in 1967, 1970, and 1971, the well-written notes of which are published in this classic in algebraic topology. The three series focused on Novikov's work on operations in complex cobordism, Quillen's work on formal groups and complex cobordism, and stable homotopy and generalized homology. Adams's exposition of the first two topics played a vital role in setting the stage for modern work on periodicity phenomena in stable homotopy theory. His exposition on the third topic occupies the bulk of the book and gives his definitive treatment of the Adams spectral sequence along with many detailed examples and calculations in KU-theory that help give a feel for the subject.
Posted in Mathematics

MAA Notes

Author: John A. Dossey

Publisher: The Mathematical Association of America

ISBN: N.A

Category: Mathematics teachers

Page: N.A

View: 1427

Posted in Mathematics teachers

Geometry & Topology

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Geometry

Page: N.A

View: 4097

Posted in Geometry

Olga Taussky-Todd

In Memoriam : a Special Issue of the Pacific Journal of Mathematics

Author: Michael Aschbacher,Don Blasius,Dinakar Ramakrishnan,Olga Taussky

Publisher: International Pressof Boston Incorporated

ISBN: 9781571460516

Category: Mathematics

Page: 357

View: 1387

A collection of speeches from a one-day conference in memory of Olga Taussky-Todd held at Caltech in 1996. Additional contributors have added their articles to the volume and a review of Taussky-Todds professional work by H. Kisilevsky has also been included.
Posted in Mathematics

Manifolds and Modular Forms

Author: Friedrich Hirzebruch

Publisher: Springer-Verlag

ISBN: 3663140458

Category: Mathematics

Page: 212

View: 1408

Posted in Mathematics

A Concise Course in Algebraic Topology

Author: J. P. May

Publisher: University of Chicago Press

ISBN: 9780226511832

Category: Mathematics

Page: 243

View: 1465

Algebraic topology is a basic part of modern mathematics, and some knowledge of this area is indispensable for any advanced work relating to geometry, including topology itself, differential geometry, algebraic geometry, and Lie groups. This book provides a detailed treatment of algebraic topology both for teachers of the subject and for advanced graduate students in mathematics either specializing in this area or continuing on to other fields. J. Peter May's approach reflects the enormous internal developments within algebraic topology over the past several decades, most of which are largely unknown to mathematicians in other fields. But he also retains the classical presentations of various topics where appropriate. Most chapters end with problems that further explore and refine the concepts presented. The final four chapters provide sketches of substantial areas of algebraic topology that are normally omitted from introductory texts, and the book concludes with a list of suggested readings for those interested in delving further into the field.
Posted in Mathematics