Helices

Angel Ferrandez Izquierdo

$370.95 $296.98

Hardback

Not in-store but you can order this
How long will it take?

Availability Information

We source books from suppliers in Australia and overseas. For books we don't currently have in stock, the time it takes to get them from our suppliers can vary widely - from a few days to a few months - so we check each book with each supplier to determine the expected time it will take to be supplied to us.

We then advise you accordingly. If the time taken to get any book is too long for you, you can let us know and we will cancel or adjust your order, and refund as required.

To find out the anticipated arrival time for specific items prior to ordering, please contact us by phone or email:

Phone +61 2 9264 3111, or 1800 4 BOOKS (1800 4 26657) if outside Sydney:
option 1 Abbey's Bookshop (Crime, History, Science, Kids & more) • info@abbeys.com.au
option 2 Language Book Centre (ESL & Foreign Languages) • language@abbeys.com.au
option 3 Galaxy Bookshop (Sci-fi, Fantasy, Romance, Graphic Novels) • sf@galaxybooks.com.au

QTY:

English

Springer Nature Switzerland AG
21 November 2025

Geometry; Topology; Applied mathematics; Biology, life sciences; The environment

Series: RSME Springer Series

This book provides an overview of generalised helices, or Lancret helices, in both Riemannian and Lorentzian backgrounds. We would like to highlight, if that were possible, this mathematical structure with great preponderance in nature and even in our daily lives. Moreover, we intend to collect many somewhat scattered results and put them in a unique context using helices as leitmotiv. Everybody is aware of the ubiquity of helices in nature and admires their intrinsic beauty, but it seems that people are not interested in knowing the omnipresence of helices in the real world. Without getting into great speculations, we soon realize that nature is governed by a principle of minimum energy, that is, any natural process occurs at minimum cost. With that idea in mind, and thinking in a supercoiled DNA molecule, we are predisposed to think that this phenomenon reflects the need to place the greatest amount of matter in the least possible space. Or even that the arrangement in a double supercoiled helix is the optimal organization to facilitate the mechanism of replication. That said, we should think of some kind of energy functional, defined on a suitable space of curves, and determine its critical points. Furthermore, the theory of helices falls into place in a broader scenario. For instance, helicoids or surfaces with helicoidal symmetry basically inherit all their properties from their generating curves, the helices, and also arise in many contexts.

The level of work has been structured so that it is suitable for a Master of Science, links with the expertise of a Bachelor in Mathematics or Physics, and leaves an open door to the research world. In addition, we have tried to make a self-contained book, for which we have included several appendices. And, wishing that our eyes see beyond, we have deployed a wide and unsuspected series of helices in geometries where light-like vectors play a key role.

By: Angel Ferrandez Izquierdo
Imprint: Springer Nature Switzerland AG
Country of Publication: Switzerland
Dimensions: Height: 235mm, Width: 155mm,
ISBN: 9783032096623
ISBN 10: 3032096626
Series: RSME Springer Series
Pages: 230
Publication Date: 21 November 2025
Audience: General/trade , ELT Advanced
Format: Hardback
Publisher's Status: Active

Chapter 1. Lancret helices in R3.- Chapter 2. Lancret helices in S3 and H3.- Chapter 3. The conformal extension and protein chains.- Chapter 4. Lancret helices in homogeneous 3-spaces.- Chapter 5. Lancret helices in the Minkowski space L3.- Chapter 6. Lancret helices in the de Sitter S31 and anti de Sitter H31 spaces.- Chapter 7. Lightlike helices in Ln, Sn1 and Hn1.- Chapter 8. Lightlike Lancret helices in Ln.- Chapter 9. The Hasimoto transformation.- Chapter 10. Variational models.- Chapter 11. Bosons in spaces forms.

Angel Ferrandez Izquierdo has a Bachelor's degree in Mathematics from the University of Granada and a PhD in Mathematics from the University of Valencia. He is an emeritus professor of Geometry and Topology at the University of Murcia. He has worked on both Riemannian and Lorentzian geometry, such as the classification of submanifolds satisfying certain differential equations, Willmore surfaces, and variational problems on curves, looking for applications in physics and biology related to helices and relativistic particle models.

PRIZES to win! PROMOTIONS

Helices

Angel Ferrandez Izquierdo

$370.95 $296.98

Hardback

See Also

Contact Abbeys

Contact Galaxy

Contact Language

Contact Us

About ABBEY'S