Newsletter   Secure Checkout   Shopping Cart (0 Items)  
Search:    Welcome Guest! Save up to 30-40% on most items with our awesome everyday discounts!

Catastrophe Theory [Paperback]

By V. I. Arnol'D, G. b. Wasserman (Translator) & R. K. Thomas (Translator)
Our Price $ 65.79  
Retail Value $ 69.99  
You Save $ 4.20  
Item Number 228761  
Buy New $65.79
Quantity:
Available on the Internet only.

Item description for Catastrophe Theory by V. I. Arnol'D, G. b. Wasserman & R. K. Thomas...

This well-known booklet, now in its third, expanded edition, provides an informal survey of applications of singularity theory in a wide range of areas. Although the first few chapters touch briefly (and critically) on theThom-Zeeman catastrophe theory, most of the book is concerned with more recent and less controversial aspects, covering such topics as: bifurcations and stability loss, wavefront propagation, the distribution of matter in the universe, optimization and control problems, visible contours,bypassing an obstacle, symplectic and contact geometry, complex singularities, and the surprising connections between singularities and widely disparate mathematical objects such as regular polyhedra and reflection groups. Readers familiar with the previous editions will find much that is new. Results have been brought up to date, and among the new or expanded topics discussed are delayed loss of stability, cascades of period doublings and triplings, shock waves, implicit differential equationsand folded singularities, interior scattering, and more. Three new sections give an overview of the history of singularity theory and its applications from Leonardo da Vinci to modern times, a discussion of perestroika in terms of the theory of metamorphoses, and a list of 93 problems touching on most of the subject matter in the book. The text is enhanced by fifteen new drawings (there are now 87 in all) and improvements to old ones. The already extensive literature list has been updated and expanded. As a result, the book has been enlarged by almost a third. Arnol'd's goal with this edition remains the same: to explain the essence of the results and applications to readers having a minimal mathematical background. All that he asks, is that the reader have an inquiring mind.



Promise Angels is dedicated to bringing you great books at great prices. Whether you read for entertainment, to learn, or for literacy - you will find what you want at promiseangels.com!

Item Specifications...


Pages   163
Est. Packaging Dimensions:   Length: 0.5" Width: 6.25" Height: 9"
Weight:   0.55 lbs.
Binding  Softcover
Release Date   Jan 12, 2004
Publisher   Springer
ISBN  3540548114  
ISBN13  9783540548119  


Availability  85 units.
Availability accurate as of Jan 23, 2017 06:18.
Usually ships within one to two business days from La Vergne, TN.
Orders shipping to an address other than a confirmed Credit Card / Paypal Billing address may incur and additional processing delay.


More About V. I. Arnol'D, G. b. Wasserman & R. K. Thomas


Register your artisan biography and upload your photo! Are You The Artisan or Author behind this product?
Improve our customers experience by registering for an Artisan Biography Center Homepage.



Product Categories

1Books > Subjects > Professional & Technical > Professional Science > Mathematics > Geometry & Topology > Topology
2Books > Subjects > Science > Mathematics > General
3Books > Subjects > Science > Mathematics > Geometry & Topology > Topology



Reviews - What do customers think about Catastrophe Theory?

Singularity theory  Jan 30, 2006
Catastrophe theory is introduced as a sort of merger of Whitney's theory of singularities of mappings and Poincaré's qualitative theory of dynamical systems. First Whitney. A surface is projected onto a plane. Somewhere the surface is folded, so that the inverse of the projection is multi-valued. Now, the plane may represent the possible values of the control parameters of a dynamic system, and the surface the possible states of the system. Moving continuously in the plane across the boundary between a single-valued and a multi-valued region may cause a jump on the surface to one of the other sheets--i.e. a small external change causes the system's state to change drastically: a "catastrophe". Poincaré's bifurcation theory of dynamical systems may now be perceived similarly on a metalevel where the systems themselves are points in a space--again an infinitesimal move in the system space may cause drastic changes of the system's equilibria. This type of geometric thinking may then be used in applications--but only sober ones, mind you: elasticity, optics, etc. Back in the old days Thom quite successfully pushed his catastrophe theory on gullible non-mathematicians. Arnol'd states his own view on those matters clearly and repeatedly throughout the book. From the preface: "Neither in 1965 nor later was I ever able to understand a word of Thom's own talks on catastrophes. He once described them to me as 'bla, bla, bla'". Arnol'd instead prefers the mathematical meat and potatoes of catastrophe theory: the theory of singularities. If only one were as enthusiastic as Arnol'd about singularity classification theorems then this would be very interesting indeed.
 
Outstanding introduction for life and behavioral scientists.  Dec 12, 1998
Catastrophe theory was the first mathematical "advance" to receive extensive coverage in the popular press since quantum mechanics. The interest and adulation afforded to chaos theory and nonlinear dynamical systems research barely immitated the enthusiasm and later scorn generated by Thom and his followers. In retrospect it is hard to see what all the excitement was about. Perhaps that's exactly why this book deserves serious attention.

While the doctoral trained mathematician may find more faults here than the rest of us, this book provides sufficient complexity for the professional, and at times is "gentle" enough for the nonmathematician. It will probably find its most useful audience among people with "semi-mathematical" trainings, scientists in life and behavioral or social sciences. For these people, who may just want to find out why Thom's initial theorems generated so much excitement and controversey, this book will be a readable delight.

This book should be mandatory reading for anyone claiming an interest in chaos theory but who does not understand how some of the overzealousness of a new paradigm can have devestating consequences. Needless to say, those unfamiliar with contemporary mathematical advances and behavioral/life/physical applications in European literarature will find this book invaluable.

 
Outstanding introduction for life and behavioral scientists.  Dec 12, 1998
Catastrophe theory was the first mathematical "advance" to receive extensive coverage in the popular press since quantum mechanics. The interest and adulation afforded to chaos theory and nonlinear dynamical systems research barely immitated the enthusiasm and later scorn generated by Thom and his followers. In retrospect it is hard to see what all the excitement was about. Perhaps that's exactly why this book deserves serious attention.

While the doctoral trained mathematician may find more faults here than the rest of us, this book provides sufficient complexity for the professional, and at times is "gentle" enough for the nonmathematician. It will probably find its most useful audience among people with "semi-mathematical" trainings, scientists in life and behavioral or social sciences. For these people, who may just want to find out why Thom's initial theorems generated so much excitement and controversey, this book will be a readable delight.

 

Write your own review about Catastrophe Theory



Ask A Question or Provide Feedback regarding Catastrophe Theory


Item Feedback and Product Questions
For immediate assistance call 888.395.0572 during the hours of 10am thru 8pm EST Monday thru Friday and a customer care representative will be happy to help you!

Help us continuously improve our service by reporting your feedback or questions below:

I have a question regarding this product
The information above is incorrect or conflicting
The page has misspellings or incorrect grammar
The page did not load correctly in my browser or created an error.

Email Address:
Anti Spam Question. To combat spammers we require that you answer a simple question.
What color is the sky?
Leave This Blank :
Do Not Change This Text :



Add This Product Widget To Your Website

Looking to add this information to your own website? Then use our Product Widget to allow you to display product information in a frame that is 120 pixels wide by 240 pixels high.

    Copy and paste the following HTML into your website and enjoy!



Order toll-free weekdays 10am thru 10pm EST by phone: 1-888-395-0572 (Lines are closed on holidays & weekends.)
Customer Service | My Account | Track My Orders | Return Policy | Request Free Catalog | Email Newsletter


Resources
Gift Certificates
RSS Feeds
Corporate
About Us
Contact Us
Policies
Terms Of Use
Privacy Policy