Hyperplane Arrangements

An Introduction

Nonfiction, Science & Nature, Mathematics, Geometry, Algebra
Cover of the book Hyperplane Arrangements by Alexandru Dimca, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Alexandru Dimca ISBN: 9783319562216
Publisher: Springer International Publishing Publication: March 28, 2017
Imprint: Springer Language: English
Author: Alexandru Dimca
ISBN: 9783319562216
Publisher: Springer International Publishing
Publication: March 28, 2017
Imprint: Springer
Language: English

This textbook provides an accessible introduction to the rich and beautiful area of hyperplane arrangement theory, where discrete mathematics, in the form of combinatorics and arithmetic, meets continuous mathematics, in the form of the topology and Hodge theory of complex algebraic varieties.

The topics discussed in this book range from elementary combinatorics and discrete geometry to more advanced material on mixed Hodge structures, logarithmic connections and Milnor fibrations. The author covers a lot of ground in a relatively short amount of space, with a focus on defining concepts carefully and giving proofs of theorems in detail where needed. Including a number of surprising results and tantalizing open problems, this timely book also serves to acquaint the reader with the rapidly expanding literature on the subject.

Hyperplane Arrangements will be particularly useful to graduate students and researchers who are interested in algebraic geometry or algebraic topology. The book contains numerous exercises at the end of each chapter, making it suitable for courses as well as self-study.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

This textbook provides an accessible introduction to the rich and beautiful area of hyperplane arrangement theory, where discrete mathematics, in the form of combinatorics and arithmetic, meets continuous mathematics, in the form of the topology and Hodge theory of complex algebraic varieties.

The topics discussed in this book range from elementary combinatorics and discrete geometry to more advanced material on mixed Hodge structures, logarithmic connections and Milnor fibrations. The author covers a lot of ground in a relatively short amount of space, with a focus on defining concepts carefully and giving proofs of theorems in detail where needed. Including a number of surprising results and tantalizing open problems, this timely book also serves to acquaint the reader with the rapidly expanding literature on the subject.

Hyperplane Arrangements will be particularly useful to graduate students and researchers who are interested in algebraic geometry or algebraic topology. The book contains numerous exercises at the end of each chapter, making it suitable for courses as well as self-study.

More books from Springer International Publishing

Cover of the book The Didactics of Mathematics: Approaches and Issues by Alexandru Dimca
Cover of the book Popular High Culture in Italian Media, 1950–1970 by Alexandru Dimca
Cover of the book Travel Industry Economics by Alexandru Dimca
Cover of the book Multi Tenancy for Cloud-Based In-Memory Column Databases by Alexandru Dimca
Cover of the book Shocks, Singularities and Oscillations in Nonlinear Optics and Fluid Mechanics by Alexandru Dimca
Cover of the book Ambient Intelligence by Alexandru Dimca
Cover of the book Aluminum Matrix Composites Reinforced with Alumina Nanoparticles by Alexandru Dimca
Cover of the book Aviation Security, Privacy, Data Protection and Other Human Rights: Technologies and Legal Principles by Alexandru Dimca
Cover of the book Sustainable Wireless Networks by Alexandru Dimca
Cover of the book Responsible Design in Applied Linguistics: Theory and Practice by Alexandru Dimca
Cover of the book Humor in Infants by Alexandru Dimca
Cover of the book Optical Coherence Tomography by Alexandru Dimca
Cover of the book Ludwig Prandtl by Alexandru Dimca
Cover of the book Signal Quality Assessment in Physiological Monitoring by Alexandru Dimca
Cover of the book Automated Deduction – CADE 26 by Alexandru Dimca
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy