Mathematics from Leningrad to Austin
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 Textbooks > Mathematics > Calculus and mathematical analysis > Real analysis, real variables > Mathematics from Leningrad to Austin: George G. Lorentz’ Selected Works in Real, Functional and Numerical Analysis Volume 1(Contemporary Mathematicians)
Mathematics from Leningrad to Austin: George G. Lorentz’ Selected Works in Real, Functional and Numerical Analysis Volume 1(Contemporary Mathematicians)

Mathematics from Leningrad to Austin: George G. Lorentz’ Selected Works in Real, Functional and Numerical Analysis Volume 1(Contemporary Mathematicians)


     0     
5
4
3
2
1



International Edition


X
About the Book

This "Select a" contains approximately two thirds of the papers my 1932 to 1994. These papers are divided into four fields. father wrote from The first volume contains the papers on 1) Summability and Number Theory and 2) Interpolation. The second volume contains the fields 3) Real and Functional Analysis and 4) Approximation Theory. Each of these four groups of papers is introduced by a review of the contents and significance, respectively of the impact of these papers. The first volume contains, in addition, an autobiography, a complete list of publications, a list of doctoral students and four unpublished essays on mathematics in general: a) A report on the University of Leningrad b) On the work of the mathematical mind c) Proofs in Mathematics d) About Mathematical books. The report on the University of Leningrad, written in the late '40's, is a unique historical document which is still of current interest for several reasons. It is of interest for professional reasons since it contains a com­ plete description of a mathematics majors' curriculum through his entire course of studies. From it one can see both the changes and invariants of course material as well as the students' course load. Then one can also see the consequences of admittedly extreme political intervention in uni­ versity affairs. Today we use the term "politically correct", but in those times being politically correct was a matter of life and death.

Table of Contents:
— Volume 1.- Mathematics in a Broader Perspective (unpublished papers).- A Report on the University of Leningrad.- On the Work of the Mathematical Mind.- Proofs in Mathematics.- Writing Mathematical Books.- I. Summability and Number Theory.- G.G. Lorentz and the Theory of Summability.- [1] Über lineare Summierungsverfahren.- [8] Beziehungen zwischen den Umkehrsatzen der Limitierungstheorie.- [10] Über Limitierungsverfahren, die von einem Stieltjes-Integral abhangen.- [11] Eine Bemerkung über Limitierungsverfahren, die nicht schwächer als ein Cesàro-Verfahren sind.- [12] Fourier-Koeffizienten und funktionklassen.- [14] Tauberian theorems and Tauberian conditions.- [17] A contribution to the theory of divergent sequences.- [22] Direct theorems on methods of summability.- [23] (with K. Knoop) Beiträge zur absoluten.- [28] Direct theorems on methods of summability.- [29] Riesz methods of summation and orthogonal series.- [31] (with M.S. Macphail) Unbounded operators and a theorem of A. Robinson.- [33] Multiplicity of representation of integers by sums of elements of two given sets.- [36] (with A.G. Robinson) Core-consistency and total inclusion for methods of summability.- [37] Tauberian theorems for absolute summability.- [38] On a problem of additive number theory.- [39] Borel and Banach properties of methods of summation.- [42] (with K.L Zeller) Über Paare von limitierungsverfahren.- [43] (with K.L Zeller) Series rearrangements and analytic sets.- [44] (with P. Erdös) On the probability that n and g(n) are relatively prime.- [45] (with B.J. Eisenstadt) Boolean rings and Banach lattices.- [54] (with K.L. Zeller) Strong and ordinary summability.- [56] (with K.L. Zeller) Summation of sequences and series.- [80] (with K.L. Zeller) o-but not O-Tauberian theorems.-II. Interpolation.- The work of G.G. Lorentz on Birkhoff interpolation.- [76] Birkhoff approximation and the problem of free matrices.- [82] The Birkhoff interpolation theorem: New methods and results.- [84] (with K.L Zeller) Birkhoff interpolation problem; coalescence of rows.- [85] Zeros of splines and Birkhoff’s kernel.- [88] Independant knots in Birkhoff’s interpolation.- [91] Coalescence of matrices, regularity and singularity of Birkhoff interpolation problems.- [94] (with S.D. Riemenschneider) Birkhoff quadrature matrices.- [95] Symmetry in Birkhoff matrices.- [97] (with S.D. Riemenschneider) Probabilistic approach to Schoenberg’s problem in Birkhoff interpolation.- [99] (with S.D. Riemenschneider) Birkhoff interpolation: some applications of coalescence.- [102] Independent sets of knots and singularity of interpolation matrices.- [103] (with R.A. Lorentz) Probability and interpolation.- [104] (with N. Dyn and S.D. Riemenschneider) Continuity of the Birkhoff interpolation.- [105] The analytic character of the Birkhoff interpolation polynomials.- [109] (with K. Jetter and S.D. Riemenschneider) Rolle theorem in spline interpolation.- [114] (with R.A. Lorentz) Multivariate interpolation.- [116] (with R.A. Lorentz) Solvability problems of bivariate interpolation.- [117] Classic interpolation by polynomials in two variables.- [118] (with R.A. Lorentz) Solvability problems of bivariate approximation II: Applications.- [122] Solvability of multivariate interpolation.- [124] Notes on approximation.- [126] (with R.A. Lorentz) Bivariate Hermite interpolation and application to algebraic geometry.


Best Sellers


Product Details
  • ISBN-13: 9780817637101
  • Publisher: Birkhauser Boston Inc
  • Publisher Imprint: Birkhauser Boston Inc
  • Height: 254 mm
  • No of Pages: 548
  • Returnable: Y
  • Sub Title: George G. Lorentz’ Selected Works in Real, Functional and Numerical Analysis Volume 1
  • ISBN-10: 0817637109
  • Publisher Date: 15 Jul 1997
  • Binding: Hardback
  • Language: English
  • Returnable: Y
  • 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
Mathematics from Leningrad to Austin: George G. Lorentz’ Selected Works in Real, Functional and Numerical Analysis Volume 1(Contemporary Mathematicians)
Birkhauser Boston Inc -
Mathematics from Leningrad to Austin: George G. Lorentz’ Selected Works in Real, Functional and Numerical Analysis Volume 1(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.

Mathematics from Leningrad to Austin: George G. Lorentz’ Selected Works in Real, Functional and Numerical Analysis Volume 1(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

    Fresh on the Shelf


    Inspired by your browsing history


    Your review has been submitted!

    You've already reviewed this product!