1  20
Next
2. Geometrical and statistical methods of analysis of star configurations dating Ptolemy's Almagest [2018]
 Fomenko, A. T.,
 Boca Raton, Fla. : CRC Press, 2018.
 Description
 Book — 1 online resource (x, 300 pages) : illustrations
 Summary

 Analysis:
 1. Some Concepts of Astronomy and History of Astronomy
 2. Star Catalog of the Almagest: Preliminary Analysis
 3. The Attempts to Date the Almagest with the Help of Simplest Procedures, and Why They Fail. Dating Catalogs:
 4. Who Is Who?
 5. Analysis of Systematic Errors in Stellar Configurations
 6. Statistical Properties and the Accuracy of the Catalog of the Almagest
 7. Dating the Star Catalog of the Almagest
 8. Inclination of the Ecliptic in the Almagest
 9. Dating Other Medieval Catalogs
 10. A Date for the Almagest from Coverings of Stars and Lunar Eclipses. Addendum: Introduction: Problems and Hypotheses Connected with Dating the Almagest.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
3. Homotopical topology [2016]
 Fomenko, A. T., author.
 Second edition.  [Cham], Switzerland : Springer, [2016]
 Description
 Book — xi, 627 pages : illustrations ; 25 cm.
 Summary

 The most important topological spaces
 Classical spaces
 Basic operations over topological spaces
 Homotopy
 Homotopy and homotopy equivalence
 Natural group structures in the sets ... (X, Y)
 CW complexes
 The fundamental group and coverings
 Van Kampen's theorem and fundamental groups of CW complexes
 Homotopy groups
 Fibrations
 The suspension theorem and homotopy groups of spheres
 Homotopy groups and CW complexes
 Homology
 Main definitions and constructions
 Homology of CW complexes
 Homology and homotopy groups
 Homology with coefficients and cohomology
 Multiplications
 Homology and manifolds
 The obstruction theory
 Vector bundles and their characteristic classes
 Spectral sequences of fibrations
 An algebraic introduction
 Spectral sequences of a filtered topological space
 Spectral sequences of fibrations : definitions and basic properties
 Additional properties of spectral sequences of fibrations
 A multiplicative structure in a cohomological spectral sequence
 Killing spaces method for computing homotopy groups
 Rational cohomology of K(n, n) and ranks of homotopy groups
 Odd components of homotopy groups
 Cohomology operations
 General theory
 Steenrod squares
 The steenrod algebra
 Applications of steenrod squares
 The adams spectral sequence
 General idea
 The necessary algebraic material
 The construction of the adams spectral sequence
 Multiplicative structures
 An application of the adams spectral sequence to stable homotopy groups of spheres
 Partial cohomology operation
 KTheory and other extraordinary cohomology theories
 General theory
 Calculating KFunctor: atiyahhirzebruch spectral sequence
 The adams operations
 Jfunctor
 The riemannroch theorem
 The atiyahsinger formula : a sketch
 Cobordisms
 Captions for the illustrations
 References
 Name index
 Subject index.
(source: Nielsen Book Data)
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  
QA612.7 .F66 2016  Unknown 
 Fomenko, A. T.
 Moskva : Kraft+lean, 1999.
 Description
 Book — 2 v. : ill. ; 22 cm.
 Online
SAL3 (offcampus storage)
SAL3 (offcampus storage)  Status 

Stacks

Request (opens in new tab) 
D16.17 .F662 1999 T.1  Available 
D16.17 .F662 1999 T.2  Available 
 Fomenko, A. T.
 Dordrecht ; Boston : Kluwer Academic, c1997.
 Description
 Book — xii, 334 p. : ill. ; 25 cm.
 Summary

 Surfaces
 the homeotopy group of a surface
 the presentation of threedimensional manifolds by the identification of faces of polyhedra
 Heegaard splittings and Heegaard diagrams
 algorithmic recognition of the sphere
 connected sums
 knots and links
 surgery along links
 Seifert manifolds
 class H. 12. the Haken method.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
 Online
SAL3 (offcampus storage)
SAL3 (offcampus storage)  Status 

Stacks  Request (opens in new tab) 
QA613.2 .F66 1997  Available 
 Fomenko, A. T.
 Dordrecht : Springer Netherlands, 1997.
 Description
 Book — 1 online resource (xii, 337 pages) Digital: text file.PDF.
 Summary

 1. Preliminary Information.
 2. Surfaces.
 3. The Homeotopy Group of a Surface.
 4. The Presentation of ThreeDimensional Manifolds by the Identification of Faces of Polyhedra.
 5. Heegaard Splittings and Heegaard Diagrams.
 6. Algorithmic Recognition of the Sphere.
 7. Connected Sums.
 8. Knots and Links.
 9. Surgery Along Links.
 10. Seifert Manifolds.
 11. Class H.
 12. The Haken Method. Comments on the Figures. References. Index.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
7. Topological modeling for visualization [1997]
 Fomenko, A. T.
 Tokyo ; New York : Springer, 1997.
 Description
 Book — x, 395 p. : ill. (some col.) ; 24 cm.
 Summary

 Part 1 Foundation: curves
 the notion of a Riemannian metric
 local theory of surfaces
 the classification of surfaces
 abstract manifolds
 critical points and Morse theory
 analyzing human body motions using manifolds and critical points
 computer examination of surfaces and Morse functions
 height functions and discrete functions
 homotopies and surface generation
 homology
 geodesics
 transformation groups. Part 2 Advanced subjects: hyperbolic geometry and topology
 Hamiltonian system with two degrees of freedom
 topological and orbital analysis of integrable Hamiltonian systems
 ridges, ravines and singularities.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
SAL3 (offcampus storage)
SAL3 (offcampus storage)  Status 

Stacks  Request (opens in new tab) 
T57.8 .F66 1997  Available 
8. Topological modeling for visualization [1997]
 Fomenko, A. T.
 Tokyo ; New York : Springer, 1997.
 Description
 Book — 1 online resource (x, 395 pages) : illustrations (some color)
 Summary

 Part I. Foundation. Curves ; The notion of a Riemannian metric ; Local theory of surfaces ; The classification of surfaces ; Abstract manifolds ; Critical points and Morse theory ; Analyzing human body motions using manifolds and critical points ; Computer examination of surfaces and Morse functions ; Height functions and discrete functions ; Homotopies and surface generation ; Homology ; Geodesics ; Transformation groups
 Part II. Advanced subjects. Hyperbolic geometry and topology ; Hamiltonian system with two degrees of freedom ; Topological and orbital analysis of integrable problems ; Orbital invariant of integrable Hamiltonian systems ; Ridges, ravines and singularities
 Bibliography
 Index.
 Fomenko, A. T.
 2. izd., dop. i perer.  Moskva : "Nauka", 1996.
 Description
 Book — 475 p. : ill. ; 23 cm.
 Online
SAL3 (offcampus storage)
SAL3 (offcampus storage)  Status 

Stacks  Request (opens in new tab) 
D16.17 .F663 1996  Available 
10. Empiricostatistical analysis of narrative material and its applications to historical dating [1994]
 Fomenko, A. T.
 Dordrecht ; Boston : Kluwer Academic, c1994.
 Description
 Book — 2 v. : ill. ; 25 cm.
 Summary

 v. 1. The development of the statistical tools
 v. 2. The analysis of ancient and medieval records.
(source: Nielsen Book Data)
 Online
SAL3 (offcampus storage)
SAL3 (offcampus storage)  Status 

Stacks

Request (opens in new tab) 
D16.17 .F66 1994 V.1  Available 
D16.17 .F66 1994 V.2  Available 
 Fomenko, A. T., author.
 Dordrecht : Springer Netherlands, 1994.
 Description
 Book — 1 online resource (xiii, 461 pages)
 Summary

 Table of Contents  Volume I Foreword. Preface. 1. Problems of Ancient and Medieval Chronology. 2. New Statistical Methods for Dating. 3. New Experimental and Statistical Methods for Dating Events of Ancient History, and their Applications to the Global Chronology of Ancient and Medieval History. Index. Table of Contents  Volume II Introduction. 1. Methods for the Statistical Analysis of Narrative Texts. 2. EnqueteCodes of Chronological Duplicates and Biographical Parallels. Three Chronological Shifts: The ByzantineRoman 333year Shift
 the Roman 1,053year Shift and the GrecoBiblical 1,800year Shift. Appendix 1. Volume Graphs for the 'Biographies' of the Holy Roman Emperors of the 1013th cc A.D. Additional Chronological and Statistical Data of Ancient History. Appendix 2. When was Ptolemy's Star Catalogue really Compiled? Various Configurations of the Stars and the Astronomical Dating of the Almagest Star Catalogue. Appendix 3. Dating of the Almagest Based on the Occultation of the Stars by Planets and Lunar Eclipses. Appendix 4. The Dating of the First Oecumenical Council of Nicaea and the Beginning of the Christian Era. Appendix 5. The WellKnown Babylonian Captivity and the WellKnown Avignon Exile of Papacy. Bibliography. Subject Index. Index of Names.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
Today the methods of applied statistics have penetrated very different fields of knowledge, including the investigation oftexts ofvarious origins. These "texts" may be considered as signal sequences of different kinds, long genetic codes, graphic representations (which may be coded and represented by a "text"), as well as actual narrative texts (for example, historical chronicles, originals, documents, etc. ). One ofthe most important problems arising here is to recognize dependent text, i. e. , texts which have a measure of "resemblance", arising from some kind of "common origin". For instance, in patternrecognition problems, it is essential to identify from a large set of "patterns" a pattern that is "closest" to a given one; in studying long signal sequences, it is important to recognize "homogeneous subsequences" and the places of their junction. This includes, in particular, the wellknown changepoint prob lern, which is given considerable attention in mathematical statistics and the theory of stochastic processes. As applied to the study of narrative texts, the problern of recognizing depen dent and independent texts ( e . g. , chronicles) Ieads to the problern offinding texts having a common source, i. e. , the sameoriginal (such texts are naturally called dependent), or, on the contrary, having different sources (such texts are natu rally called independent). Clearly, such problems are exceedingly complicated, and therefore the appearance of new empiricostatistical recognition methods which, along with the classical approaches, may prove useful in concrete studies (e. g. , source determination) is welcome.
(source: Nielsen Book Data)
12. Visual geometry and topology [1994]
 Nagli͡adnai͡a geometrii͡a i topologii͡a. English
 Fomenko, A. T.
 Berlin ; New York : SpringerVerlag, c1994.
 Description
 Book — xvi, 324 p. : ill. ; 25 cm.
 Summary

Geometry and topology are strongly motivated by the visualization of ideal objects that have certain special characteristics. The principal aim of this book is to narrate, in an accessible and fairly visual language, some classical and modern achievements of geometry and topology in both intrinsic mathematical problems and applications to mathematical physics. The book starts from classical notions of topology and ends with new results in Hamiltonian geometry. The author gives visual explanations of the problems and results, without recourse to the abstract logical aspects of calculations. The book includes numerous graphical sheets drawn by the author, which illustrate the mathematical ideas and results contained in the book. Using these pictures, the reader can understand many modern mathematical ideas and methods.
(source: Nielsen Book Data)
 Online
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  
QA445 .F58 1994  Unknown 
13. Geometrical and statistical methods of analysis of star configurations : dating Ptolemy's Almagest [1993]
 Fomenko, A. T.
 Boca Raton : CRC Press, 1993.
 Description
 Book — 300 p.
 Summary

 Introduction. Preliminary Analysis: Some Concepts of Astronomy and History of Astronomy. Star Catalog of the Almagest: Preliminary Analysis. The Attempts to Date the Almagest with the Help of Simplest Procedures, and Why They Fail. Dating Catalogs: Who Is Who? Analysis of Systematic Errors in Stellar Configurations. Statistical Properties and the Accuracy of the Catalog of the Almagest. Dating the Star Catalog of the Almagest. Inclination of the Ecliptic in the Almagest. Dating Other Medieval Catalogs. A Date for the Almagest from Coverings of Stars and Lunar Eclipses. Addendum: Introduction: Problems and Hypotheses Connected with Dating the Almagest. Appendix. References.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
 Online
SAL3 (offcampus storage)
SAL3 (offcampus storage)  Status 

Stacks  Request (opens in new tab) 
QB65 .F65 1993  Available 
 Fomenko, A. T.
 Moskva : Moskovskiĭ gos. universitet im. M.V. Lomonosova, Mekhanikomatematicheskiĭ fakulʹtet, 1993.
 Description
 Book — 408 p. : ill. ; 23 cm.
 Online
 Наглядная геометрия и топология : математические образы в реальном мире
 Fomenko, A. T.
 Moskva : Izdvo Moskovskogo universiteta, 1992. Москва : Издво Московского университета, 1992.
 Description
 Book — 228 pages, [186 unnumbered pages of illustrations] : illustrations ; 24 cm
 Online
SAL3 (offcampus storage)
SAL3 (offcampus storage)  Status 

Stacks  Request (opens in new tab) 
QA445 .F58 1992  In process 
 Ėlementy geometrii i topologii minimalʹnykh poverkhnosteĭ v trekhmernom prostranstve. English
 Fomenko, A. T.
 Providence, R.I. : American Mathematical Society, c1991.
 Description
 Book — vii, 142 p. : ill. ; 26 cm.
 Online
SAL3 (offcampus storage)
SAL3 (offcampus storage)  Status 

Stacks  Request (opens in new tab) 
QA644 .F6513 1991  Available 
 Ėlementy geometrii i topologii minimalʹnykh poverkhnosteĭ v trekhmernom prostranstve. English
 Fomenko, A. T.
 Providence, R.I. : American Mathematical Society, c1991
 Description
 Book — 1 online resource (vii, 142 p. : ill).
 Summary

 Chapter 1. Physical prerequisites Chapter 2. Classical minimal surfaces in $R^3$ Chapter 3. General properties of minimal surfaces in $R^3$
(source: Nielsen Book Data)
18. Mathematical impressions [1991]
 Fomenko, A. T.
 Providence, R.I. : American Mathematical Society, c1990.
 Description
 Book — 184 p. : ill. (some col.) ; 29 cm.
 Summary

Anatolii Fomenko is a Soviet mathematician with a talent for expressing abstract mathematical concepts through artwork. Some of his works echo those of M. C. Escher in their meticulous rendering of shapes and patterns, while other pieces seem to be more visceral expressions of mathematical ideas. Stimulating to the imagination and to the eye, his rich and evocative work can be interpreted and appreciated in various ways  mathematical, aesthetic, or emotional. This book contains 84 reproductions of works by Fomenko, 23 of them in colour. In the accompanying captions, Fomenko explains the mathematical motivation behind the illustrations as well as the emotional, historical, or mythical subtexts that they evoke. The illustrations carry the viewer through a mathematical world consisting not of equations and dry logic, but of intuition and inspiration.
(source: Nielsen Book Data)
 Online
SAL3 (offcampus storage)
SAL3 (offcampus storage)  Status 

Stacks  Request (opens in new tab) 
NC137 .F66 A4 1991  Available 
19. The plateau problem [1990]
 Fomenko, A. T.
 New York : Gordon and Breach Science Publishers, c1990.
 Description
 Book — 2 v. : ill. ; 24 cm.
 Summary

 Part 1 Historical survey and introduction to the theory of minimal surfaces: the origins of multidimensional variational calculus
 the nineteenth century, the era of the discovery of basic minimal surface properties
 topological and physical properties of minimal surfaces
 the Plateau principles  minimal surfaces in animate nature. Part 2 Survey of some important publications in minimal surface theory from the nineteenth to the early twentieth century: Monge (17461818)
 Poisson (17811840)
 Plateau (18011883)
 some works of the early twentieth century Rado, Douglan
 minimal surfaces in the large. Part 3 Some facts from elementary topology: singular and cellular homology groups
 cohomology groups and obstructions to the extensions of mappings.
 (source: Nielsen Book Data)
 Part 1 Historical survey and introduction to the theory of minimal surfaces: the origins of multidimensional variational calculus
 the nineteenth century, the era of the discovery of basic minimal surface properties
 topological and physical properties of minimal surfaces
 the Plateau principles  minimal surfaces in animate nature. Part 2 Survey of some important publications in minimal surface theory from the nineteenth to the early twentieth century: Monge (17461818)
 Poisson (17811840)
 Plateau (18011883)
 some works of the early twentieth century Rado, Douglan
 minimal surfaces in the large. Part 3 Some facts from elementary topology: singular and cellular homology groups
 cohomology groups and obstructions to the extensions of mappings. Part 4 Modern state of minimal surface theory: minimal surfaces and homology
 integral currents
 minimal currents in Riemannian manifolds
 minimization of volumes of manifolds with fixed boundary and of closed manifolds  existence of a minimum in each spectral bordism class
 generalized homology and cohomology theories and their relation to the multidimensional Plateau problem
 existence of a minimum in each homotopy class of multivarifolds
 cases where a solution of the Dirichlet problem for the equation of minimal surfaces of high codimensions does not exist
 example of a smooth, closed, unknotted, curve in R3 bounding only minimal surfaces of large genus
 certain new methods of effective construction of globally minimal surfaces in Riemannian manifolds
 totally geodesic surfaces realizing nontrivial cycles, cocycles, and elements of homotopy groups in symmetric spaces
 Bott periodicity and its relation with the multidimensional Dirichlet functional
 survey of some recent results in harmonic mapping theory.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
The two parts of this book explore the history and current state of the theory of minimal surfaces. The first part charts the historical origins of the Plateau problem, while the second part demonstrates the connections between the theory of minimal surfaces and modern branches of mathematics.
(source: Nielsen Book Data)
 Online
SAL3 (offcampus storage)
SAL3 (offcampus storage)  Status 

Stacks

Request (opens in new tab) 
QA644 .F66 1990 V.1  Available 
QA644 .F66 1990 V.2  Available 
 Topologicheskie variat͡sionnye zadachi. English
 Fomenko, A. T.
 Dordrecht [Netherlands] ; Boston : Kluwer Academic, c1990.
 Description
 Book — xviii, 374 p. : ill. ; 25 cm.
 Online
SAL3 (offcampus storage)
SAL3 (offcampus storage)  Status 

Stacks  Request (opens in new tab) 
QA611 .F6313 1990B  Available 
Articles+
Journal articles, ebooks, & other eresources
Guides
Course and topicbased guides to collections, tools, and services.