Variational Analysis and Applications
Home > Mathematics and Science Textbooks > Mathematics > Optimization > Variational Analysis and Applications: (Springer Monographs in Mathematics)
Variational Analysis and Applications: (Springer Monographs in Mathematics)

Variational Analysis and Applications: (Springer Monographs in Mathematics)


     0     
5
4
3
2
1



Available


X
About the Book

Building on fundamental results in variational analysis, this monograph presents new and recent developments in the field as well as selected applications. Accessible to a broad spectrum of potential readers, the main material is presented in finite-dimensional spaces. Infinite-dimensional developments are discussed at the end of each chapter with comprehensive commentaries which emphasize the essence of major results, track the genesis of ideas, provide historical comments, and illuminate challenging open questions and directions for future research. The first half of the book (Chapters 1–6) gives a systematic exposition of key concepts and facts, containing basic material as well as some recent and new developments. These first chapters are particularly accessible to masters/doctoral students taking courses in modern optimization, variational analysis, applied analysis, variational inequalities, and variational methods. The reader’s development of skills will be facilitated as they work through each, or a portion of, the multitude of exercises of varying levels. Additionally, the reader may find hints and references to more difficult exercises and are encouraged to receive further inspiration from the gems in chapter commentaries. Chapters 7–10 focus on recent results and applications of variational analysis to advanced problems in modern optimization theory, including its hierarchical and multiobjective aspects, as well as microeconomics, and related areas. It will be of great use to researchers and professionals in applied and behavioral sciences and engineering.

Table of Contents:
Preface.- Part 1. Basics of First-Order Analysis.-1. First-Order Generalized Differentiation.- 2. Extremality, Well-Posedness, Calculus Rules.- 3. Optimization via Generalized Differentiation.- Part 2. Second-Order Analysis.- 4. Second-Order Subdifferentials.- 5. Second-Order Subdifferential Calculus.- 6. Full and Tilt Stability of Local Minimizers.- 7. Full Stability for Parametric Variational Systems.- Part 3. Selected Applications.- 8. Full and Tilt Stability in Constrained Optimization.-9. Higher-Order Stability and Numerical Analysis.- 10. Optimal Control of the Sweeping Process.- 11. Microeconomic Modeling.- References.- List of Statements.- Glossary of Notation.- Subject Index.

About the Author :
Boris S. Mordukhovich is a Distinguished University Professor of Mathematics at Wayne State University. His areas of research include optimization and variational analysis, control theory, nonlinear systems, generalized differentiation, and various applications. Professor Mordukhovich has authored more than 400 publications including two volumes in Springer’s Grundlehren series entitled “Variational Analysis and Generalized Differentiation.” He is a Fellow of the American Mathematical Society (AMS) and the Society of Industrial and Applied Mathematics (SIAM).

Review :
“This exceptionally well-written research monograph … presents material which is of profound importance and is meticulously chosen and organized. The mathematically precise and crisp presentation style would undoubtedly help the reader in acquiring a deep understanding of the subject. I believe that this monograph would not only be of great benefit to the research community actively engaged in variational analysis but would also encourage newcomers who are willing to learn the subject.” (Akhtar A. Khan, SIAM Review, Vol. 62 (1), 2020) “The book provides a self-contained, systematic and comprehensive exposition of keys concepts and principles of variational analysis, offering to specialists an updated view on the state of the art of a fast-growing field of research … . the rich anthology of exercises, guiding and stimulating the reader's comprehension, makes the book a usable text for teaching variational analysis to a large audience of graduate students, researchers and practitioners (not only in the mathematical sciences).” (Amos Uderzo, Mathematical Reviews, July, 2019) “I am enthusiastic about its highly reader-friendly, well-structured presentation. It makes the book, apart from its mathematical contents, an aesthetic joy. … I consider this monograph to be a highly instructive, well-structured and clearly written presentation of modern variational analysis from the perspective of nonconvex and dual generalized differential calculus. I do not hesitate to recommend this excellent work to everybody interested in this field of mathematics, to specialists as well as to young researchers.” (René Henrion, Optimization Letters, Optimization Letters, Vol. 13, 2019) “Written by an expert in the areas of variational analysis and optimization and based on his didactic experience, this is an excellent textbook. By the wealth of information contained in the second part of the book and in exercises,it can be also used by researchers in optimization theory and its applications as a reference text.” (S. Cobzaş, Studia Universitatis Babes-Bolyai Mathematica, Vol. 6 (04). 2018) “This book is on the one hand a valuable tool for teaching and learning variational analysis, with exercises ranging from medium level to more difficult and numerous illustrative examples and figures. On the other hand, it represents a basis for future research in various fields of mathematics and its applications.” (Radu Ioan Bot, zbMATH 1402.49003, 2019)


Best Sellers


Product Details
  • ISBN-13: 9783030065133
  • Publisher: Springer Nature Switzerland AG
  • Publisher Imprint: Springer Nature Switzerland AG
  • Height: 235 mm
  • No of Pages: 622
  • Returnable: Y
  • Width: 155 mm
  • ISBN-10: 3030065138
  • Publisher Date: 20 Dec 2018
  • Binding: Paperback
  • Language: English
  • Returnable: Y
  • Series Title: Springer Monographs in Mathematics


Similar Products

Add Photo
Add Photo

Customer Reviews

REVIEWS      0     
Click Here To Be The First to Review this Product
Variational Analysis and Applications: (Springer Monographs in Mathematics)
Springer Nature Switzerland AG -
Variational Analysis and Applications: (Springer Monographs in Mathematics)
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.

Variational Analysis and Applications: (Springer Monographs in Mathematics)

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!