Gian-Carlo Rota on Analysis and Probability - Bookswagon UAE
close menu
Bookswagon
search
My Account
Book 1
Book 2
Book 3
Book 1
Book 2
Book 3
Book 1
Book 2
Book 3
Book 1
Book 2
Book 3
Home > Mathematics and Science books > Mathematics > Calculus and mathematical analysis > Functional analysis and transforms > Gian-Carlo Rota on Analysis and Probability: Selected Papers and Commentaries(Contemporary Mathematicians)
Gian-Carlo Rota on Analysis and Probability: Selected Papers and Commentaries(Contemporary Mathematicians)

Gian-Carlo Rota on Analysis and Probability: Selected Papers and Commentaries(Contemporary Mathematicians)


     0     
5
4
3
2
1



Available


X
About the Book

This volume consists of selected papers by Gian-Carlo Rota, a rare mathematician who made major contributions to several areas of mathematics. Presented in Part I are his papers in analysis, written at the beginning of his career and having a continuing and pervasive influence today. Part II is devoted to his papers on convexity and probability theory, written towards the end of his career and containing many ideas that have yet to be fully developed. Comprehensive commentaries by experts in the field are included in every chapter. Accessible to both experts and beginners.

Table of Contents:
1. Differential Operators.- Reprinted papers.- Extension theory of differential operators I.- On the completeness of Sturm-Liouville expansions.- On the spectra of singular boundary value problems.- Articles.- Rota’s work on differential operators.- Sturm-Liouville expansions.- 2. Theory of Linear Operators.- Reprinted papers.- Note on the invariant subspaces of linear operators.- On models for linear operators.- A note on the joint spectral radius.- Multiplicative extensions of positive linear operators.- Dilations of positive operators.- A method for the study of positive operators.- On the eigenvalues of positive operators.- Linear Operators. Part II. Spectral Theory.- Articles.- Invariant subspaces and models for linear operators.- Gian-Carlo Rota’s work on positive operators.- The joint spectral radius.- 3. Reynolds Operators.- Reprinted papers.- On the representation of averaging operators.- Spectral theory of smoothing operators.- Endomorphismes de Reynolds et théorie ergodique.- Représentation des opérateurs de Reynolds.- Une généralisation de l’espérance mathématique conditionnelle qui se présente dans la théorie statistique de la turbulence.- On Reynolds operators in finite-dimensional algebras.- On the passage from the Navier-Stokes equations to the Reynolds equations.- Reynolds Operators.- Article.- Reynolds and averaging operators.- 4. Ergodic Theory.- Reprinted papers.- Une théorie unifiée des martingales et des moyennes ergodiques.- An “alternierende Verfahren” for general positive operators.- On the classification of periodic flows.- On the maximal ergodic theorem for Abel-limits.- A limit theorem for the time-dependent evolution equation.- Frobenius reciprocity in ergodic theory.- Articles.- Arlan Ramsay, Frobenius reciprocity.- Aunified theory for ergodic and martingale theorems.- Abel ergodic theory.- An “alternierende Verfahren” I.- An “alternierende Verfahren” II.- 5. Inequalities.- Reprinted paper.- On the inequality $${\left\| {f'} \right\|^2} \leqslant 4\left\| f \right\|.\left\| {f''} \right\|$$.- Article.- The Kallman-Rota inequality; a survey.- 6. Geometric Probability and Profinite Combinatorics.- Reprinted papers.- Totally invariant set functions of polynomial type.- A continuous analogue of Sperner’s theorem.- A stochastic interpretation of the Riemann zeta function.- An example of profinite combinatorics.- Article.- Continuous and profinite combinatorics.- 7. Probability Theory.- Reprinted papers.- A measure theoretic approach to logical quantification.- Stochastic integrals: a combinatorial approach.- Probability set functions.- On the combinatorics of cumulants.- Articles.- Rota’s foundations of probability theory.- Cumulants and probability set functions.

Review :
"What makes this collection extraordinarily enjoyable to read are the commentaries that guide the reader between the gallery of results and are full of stories about Rota and of reflections about his mathematical style, about how he was led to areas and insights, about what he saw in them and what he thought they could do for other areas." -MATHEMATICAL REVIEWS "This mixture of reprinted papers and articles about Rota tell the story of his mathematical journey... Apart from the opportunity to trace Rota's mathematical development through his papers, the book offers eighteen articles on Rota's work. These range from reminiscences and biographical details, to articles explaining the background to specific papers." -THE MATHEMATICAL GAZETTE "...Rota's work contains many fresh ideas stimulating further research. If a PhD student asks for a book that might serve as a starting point to his/her research, the present volume is an excellent choice. Experts in analysis and probability can also find continual values in seeing Rota's writings in a single volume." -ACTA SCIENTIARUM MATHEMATICARUM


Best Sellers


Product Details
  • ISBN-13: 9781461274025
  • Publisher: Springer-Verlag New York Inc.
  • Publisher Imprint: Springer-Verlag New York Inc.
  • Height: 254 mm
  • No of Pages: 382
  • Returnable: N
  • Sub Title: Selected Papers and Commentaries
  • ISBN-10: 1461274028
  • Publisher Date: 16 Sep 2011
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Series Title: Contemporary Mathematicians
  • Width: 178 mm


Similar Products

Add Photo
Add Photo

Customer Reviews

REVIEWS      0     
Click Here To Be The First to Review this Product
Gian-Carlo Rota on Analysis and Probability: Selected Papers and Commentaries(Contemporary Mathematicians)
Springer-Verlag New York Inc. -
Gian-Carlo Rota on Analysis and Probability: Selected Papers and Commentaries(Contemporary Mathematicians)
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.

Gian-Carlo Rota on Analysis and Probability: Selected Papers and Commentaries(Contemporary Mathematicians)

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


    Inspired by your browsing history


    Your review has been submitted!

    You've already reviewed this product!