Modeling and Convexity
Home > Science, Technology & Agriculture > Mechanical engineering and materials > Mechanical engineering > Modeling and Convexity
Modeling and Convexity

Modeling and Convexity


     0     
5
4
3
2
1



Available


X
About the Book

Modeling and Convexity This reference book gives the reader a complete but comprehensive presentation of the foundations of convex analysis and presents applications to significant situations in engineering. The presentation of the theory is self-contained and the proof of all the essential results is given. The examples consider meaningful situations such as the modeling of curvilinear structures, the motion of a mass of people or the solidification of a material. Non convex situations are considered by means of relaxation methods and the connections between probability and convexity are explored and exploited in order to generate numerical algorithms.

Table of Contents:
Introduction ix PART 1 MOTIVATION: EXAMPLES AND APPLICATIONS 1 Chapter 1 Curvilinear Continuous Media 3 1.1 One-dimensional curvilinear media 4 1.2 Supple membranes 22 Chapter 2 Unilateral System Dynamics 33 2.1 Dynamics of ideally flexible strings 34 2.2 Contact dynamics 40 Chapter 3 A Simplified Model of Fusion/Solidification 53 3.1 A simplified model of phase transition 53 Chapter 4 Minimization of a Non-Convex Function 61 4.1 Probabilities, convexity and global optimization 61 Chapter 5 Simple Models of Plasticity 69 5.1 Ideal elastoplasticity 72 PART 2 THEORETICAL ELEMENTS 77 Chapter 6 Elements of Set Theory 79 6.1 Elementary notions and operations on sets 80 6.2 The axiomof choice 83 6.3 Zorn's lemma 89 Chapter 7 Real Hilbert Spaces 97 7.1 Scalar product and norm 99 7.2 Bases anddimensions 107 7.3 Open sets and closed sets 114 7.4 Sequences 123 7.5 Linear functionals 137 7.6 Complete space 146 7.7 Orthogonal projection onto a vector subspace 160 7.8 Riesz's representationtheory 167 7.9 Weak topology 173 7.10 Separable spaces: Hilbert bases and series 184 Chapter 8 Convex Sets 201 8.1 Hyperplanes 201 8.2 Convexsets 208 8.3 Convexhulls 212 8.4 Orthogonal projection on a convex set 217 8.5 Separationtheorems 228 8.6 Convexcone 241 Chapter 9 Functionals on a Hilbert Space 253 9.1 Basic notions 254 9.2 Convexfunctionals 261 9.3 Semi-continuous functionals 271 9.4 Affine functionals 298 9.5 Convexification and LSC regularization 303 9.6 Conjugate functionals 320 9.7 Subdifferentiability 331 Chapter 10 Optimization 361 10.1 The optimization problem 361 10.2 Basic notions 362 10.3 Fundamental results 374 Chapter 11 Variational Problems 421 11.1 Fundamental notions 421 11.2 Zeros of operators 455 11.3 Variational inequations 463 11.4 Evolutionequations 469 Bibliography 487 Index 495

About the Author :
Eduardo Souza De Cursi is Professor at the National Institute for Applied Sciences in Rouen, France, where he is also Dean of International Affairs and Director of the Laboratory for the Optimization and Reliability in Structural Mechanics. Rubens Sampaio is Professor at PUC-Rio, Rio de Janeiro, Brazil. His fields of interest are Applied Mathematics and Mechanics.

Review :
“The book is addressed mainly to mechanical engineers, but it can also be useful to mathematicians who are interested in applications.”  (Mathematical Reviews, 2012)  


Best Sellers


Product Details
  • ISBN-13: 9781848211773
  • Publisher: ISTE Ltd and John Wiley & Sons Inc
  • Publisher Imprint: ISTE Ltd and John Wiley & Sons Inc
  • Height: 234 mm
  • No of Pages: 503
  • Returnable: N
  • Weight: 907 gr
  • ISBN-10: 1848211775
  • Publisher Date: 11 May 2010
  • Binding: Hardback
  • Language: English
  • Returnable: N
  • Spine Width: 33 mm
  • Width: 158 mm


Similar Products

Add Photo
Add Photo

Customer Reviews

REVIEWS      0     
Click Here To Be The First to Review this Product
Modeling and Convexity
ISTE Ltd and John Wiley & Sons Inc -
Modeling and Convexity
Writing guidlines
We want to publish your review, so please:
  • keep your review on the product. Review's that defame author's character will be rejected.
  • Keep your review focused on the product.
  • Avoid writing about customer service. contact us instead if you have issue requiring immediate attention.
  • Refrain from mentioning competitors or the specific price you paid for the product.
  • Do not include any personally identifiable information, such as full names.

Modeling and Convexity

Required fields are marked with *

Review Title*
Review
    Add Photo Add up to 6 photos
    Would you recommend this product to a friend?
    Tag this Book Read more
    Does your review contain spoilers?
    What type of reader best describes you?
    I agree to the terms & conditions
    You may receive emails regarding this submission. Any emails will include the ability to opt-out of future communications.

    CUSTOMER RATINGS AND REVIEWS AND QUESTIONS AND ANSWERS TERMS OF USE

    These Terms of Use govern your conduct associated with the Customer Ratings and Reviews and/or Questions and Answers service offered by Bookswagon (the "CRR Service").


    By submitting any content to Bookswagon, you guarantee that:
    • You are the sole author and owner of the intellectual property rights in the content;
    • All "moral rights" that you may have in such content have been voluntarily waived by you;
    • All content that you post is accurate;
    • You are at least 13 years old;
    • Use of the content you supply does not violate these Terms of Use and will not cause injury to any person or entity.
    You further agree that you may not submit any content:
    • That is known by you to be false, inaccurate or misleading;
    • That infringes any third party's copyright, patent, trademark, trade secret or other proprietary rights or rights of publicity or privacy;
    • That violates any law, statute, ordinance or regulation (including, but not limited to, those governing, consumer protection, unfair competition, anti-discrimination or false advertising);
    • That is, or may reasonably be considered to be, defamatory, libelous, hateful, racially or religiously biased or offensive, unlawfully threatening or unlawfully harassing to any individual, partnership or corporation;
    • For which you were compensated or granted any consideration by any unapproved third party;
    • That includes any information that references other websites, addresses, email addresses, contact information or phone numbers;
    • That contains any computer viruses, worms or other potentially damaging computer programs or files.
    You agree to indemnify and hold Bookswagon (and its officers, directors, agents, subsidiaries, joint ventures, employees and third-party service providers, including but not limited to Bazaarvoice, Inc.), harmless from all claims, demands, and damages (actual and consequential) of every kind and nature, known and unknown including reasonable attorneys' fees, arising out of a breach of your representations and warranties set forth above, or your violation of any law or the rights of a third party.


    For any content that you submit, you grant Bookswagon a perpetual, irrevocable, royalty-free, transferable right and license to use, copy, modify, delete in its entirety, adapt, publish, translate, create derivative works from and/or sell, transfer, and/or distribute such content and/or incorporate such content into any form, medium or technology throughout the world without compensation to you. Additionally,  Bookswagon may transfer or share any personal information that you submit with its third-party service providers, including but not limited to Bazaarvoice, Inc. in accordance with  Privacy Policy


    All content that you submit may be used at Bookswagon's sole discretion. Bookswagon reserves the right to change, condense, withhold publication, remove or delete any content on Bookswagon's website that Bookswagon deems, in its sole discretion, to violate the content guidelines or any other provision of these Terms of Use.  Bookswagon does not guarantee that you will have any recourse through Bookswagon to edit or delete any content you have submitted. Ratings and written comments are generally posted within two to four business days. However, Bookswagon reserves the right to remove or to refuse to post any submission to the extent authorized by law. You acknowledge that you, not Bookswagon, are responsible for the contents of your submission. None of the content that you submit shall be subject to any obligation of confidence on the part of Bookswagon, its agents, subsidiaries, affiliates, partners or third party service providers (including but not limited to Bazaarvoice, Inc.)and their respective directors, officers and employees.

    Accept

    New Arrivals


    Inspired by your browsing history


    Your review has been submitted!

    You've already reviewed this product!