عنوان
پدید آورنده
موضوع
رده
Q325.5 .S57 2018eb
Q325
.
5
.
S57
2018eb
کتابخانه
محل استقرار
INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
9789813229693
(Number (ISBN
9813229691
Erroneous ISBN
9789813229686
Erroneous ISBN
9813229683
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Mathematical analysis for machine learning and data mining /
General Material Designation
[Book]
First Statement of Responsibility
by Dan Simovici (University of Massachusetts, Boston, USA).
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
New Jersey :
Name of Publisher, Distributor, etc.
World Scientific,
Date of Publication, Distribution, etc.
[2018]
Date of Publication, Distribution, etc.
©2018
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
1 online resource (xv, 968 pages)
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references and index.
CONTENTS NOTE
Text of Note
2.5 Seminorms and Norms2.6 Linear Functionals in Inner Product Spaces; 2.7 Hyperplanes; Exercises and Supplements; Bibliographical Comments; 3. Algebra of Convex Sets; 3.1 Introduction; 3.2 Convex Sets and Affine Subspaces; 3.3 Operations on Convex Sets; 3.4 Cones; 3.5 Extreme Points; 3.6 Balanced and Absorbing Sets; 3.7 Polytopes and Polyhedra; Exercises and Supplements; Bibliographical Comments; Part II. Topology; 4. Topology; 4.1 Introduction; 4.2 Topologies; 4.3 Closure and Interior Operators in Topological Spaces; 4.4 Neighborhoods; 4.5 Bases; 4.6 Compactness; 4.7 Separation Hierarchy.
Text of Note
4.8 Locally Compact Spaces4.9 Limits of Functions; 4.10 Nets; 4.11 Continuous Functions; 4.12 Homeomorphisms; 4.13 Connected Topological Spaces; 4.14 Products of Topological Spaces; 4.15 Semicontinuous Functions; 4.16 The Epigraph and the Hypograph of a Function; Exercises and Supplements; Bibliographical Comments; 5. Metric Space Topologies; 5.1 Introduction; 5.2 Sequences in Metric Spaces; 5.3 Limits of Functions on Metric Spaces; 5.4 Continuity of Functions between Metric Spaces; 5.5 Separation Properties of Metric Spaces; 5.6 Completeness of Metric Spaces.
Text of Note
5.7 Pointwise and Uniform Convergence5.8 The Stone-Weierstrass Theorem; 5.9 Totally Bounded Metric Spaces; 5.10 Contractions and Fixed Points; 5.11 The HausdorffMetric Hyperspace of Compact Subsets; 5.12 The Topological Space (R, O); 5.13 Series and Schauder Bases; 5.14 Equicontinuity; Exercises and Supplements; Bibliographical Comments; 6. Topological Linear Spaces; 6.1 Introduction; 6.2 Topologies of Linear Spaces; 6.3 Topologies on Inner Product Spaces; 6.4 Locally Convex Linear Spaces; 6.5 Continuous Linear Operators; 6.6 Linear Operators on Normed Linear Spaces.
Text of Note
6.7 Topological Aspects of Convex Sets6.8 The Relative Interior; 6.9 Separation of Convex Sets; 6.10 Theorems of Alternatives; 6.11 The Contingent Cone; 6.12 Extreme Points and Krein-Milman Theorem; Exercises and Supplements; Bibliographical Comments; Part III. Measure and Integration; 7. Measurable Spaces and Measures; 7.1 Introduction; 7.2 Measurable Spaces; 7.3 Borel Sets; 7.4 Measurable Functions; 7.5 Measures and Measure Spaces; 7.6 Outer Measures; 7.7 The Lebesgue Measure on Rn; 7.8 Measures on Topological Spaces; 7.9 Measures in Metric Spaces; 7.10 Signed and Complex Measures.
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OTHER EDITION IN ANOTHER MEDIUM
Title
Mathematical analysis for machine learning and data mining.
International Standard Book Number
9813229683
TOPICAL NAME USED AS SUBJECT
Data mining-- Mathematics.
Machine learning-- Mathematics.
COMPUTERS-- General.
(SUBJECT CATEGORY (Provisional
COM-- 000000
DEWEY DECIMAL CLASSIFICATION
Number
006
.
3/101515
Edition
23
LIBRARY OF CONGRESS CLASSIFICATION
Class number
Q325
.
5
Book number
.
S57
2018eb
PERSONAL NAME - PRIMARY RESPONSIBILITY
Simovici, Dan A.
ORIGINATING SOURCE
Date of Transaction
20200823231913.0
Cataloguing Rules (Descriptive Conventions))
pn
ELECTRONIC LOCATION AND ACCESS
Electronic name
مطالعه متن کتاب [Book]
Y
