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Advances in the homotopy analysis method / / editor, Shijun Liao, Shanghai Jiao Tong University, China
Advances in the homotopy analysis method / / editor, Shijun Liao, Shanghai Jiao Tong University, China
Pubbl/distr/stampa Hackensack, New Jersey : , : World Scientific, , [2014]
Descrizione fisica 1 online resource (426 p.)
Disciplina 514/.24
Altri autori (Persone) LiaoShijun <1963->
Soggetto topico Homotopy theory
Soggetto genere / forma Electronic books.
ISBN 981-4551-25-2
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Preface; Contents; 1. Chance and Challenge: A Brief Review of Homotopy Analysis Method; 1.1. Background; 1.2. A brief history of the HAM; 1.3. Some advances of the HAM; 1.3.1. Generalized zeroth-order deformation equation; 1.3.2. Spectral HAM and complicated auxiliary operator; 1.3.3. Predictor HAM and multiple solutions; 1.3.4. Convergence condition and HAM-based software; 1.4. Relationships to other methods; 1.5. Chance and challenge: some suggested problems; 1.5.1. Periodic solutions of chaotic dynamic systems; 1.5.2. Periodic orbits of Newtonian three-body problem
1.5.3. Viscous flow past a sphere1.5.4. Viscous flow past a cylinder; 1.5.5. Nonlinear water waves; Acknowledgment; References; 2. Predictor Homotopy Analysis Method (PHAM); 2.1. Preliminaries; 2.2. Description of the method; 2.2.1. Zeroth-order deformation equation; 2.2.2. High-order deformation equation; 2.2.3. Prediction of the multiple solutions; 2.3. Convergence analysis; 2.4. Some illustrative models; 2.4.1. Nonlinear problem arising in heat transfer; 2.4.1.1. Model and exact solutions; 2.4.1.2. Prediction of dual solutions by the rule of multiplicity of solutions
2.4.1.3. Effective calculation of the two branches of solution2.4.2. Strongly nonlinear Bratu's equation; 2.4.2.1. Problem and exact solutions; 2.4.2.2. Prediction of multiple solutions by the rule of multiplicity of solutions; 2.4.2.3. Effective calculation of the two branches of solution; 2.4.3. Nonlinear reaction-diffusion model; 2.4.3.1. Equation and exact solutions; 2.4.3.2. Prediction of multiple solutions by the rule of multiplicity of solutions; 2.4.3.3. Calculation of the two branches of solution; 2.4.4. Mixed convection flows in a vertical channel
2.4.4.1. Prediction of dual solutions by the rule of multiplicity of solutions2.4.4.2. Effective calculation of the two branches of solution; 2.4.4.3. Further results; 2.5. Concluding remarks; References; 3. Spectral Homotopy Analysis Method for Nonlinear Boundary Value Problems; 3.1. Introduction; 3.2. Basic ideas of the spectral homotopy analysis method; 3.3. Some applications of the spectral homotopy analysis method; 3.3.1. Falkner-Skan boundary layer flow; 3.3.2. Eigenvalue problems; 3.3.3. Boundary value problems with multiple solutions; 3.3.4. Coupled nonlinear boundary value equations
Record Nr. UNINA-9910453634703321
Hackensack, New Jersey : , : World Scientific, , [2014]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Advances in the homotopy analysis method / / editor, Shijun Liao, Shanghai Jiao Tong University, China
Advances in the homotopy analysis method / / editor, Shijun Liao, Shanghai Jiao Tong University, China
Pubbl/distr/stampa Hackensack, New Jersey : , : World Scientific, , [2014]
Descrizione fisica 1 online resource (426 p.)
Disciplina 514/.24
Altri autori (Persone) LiaoShijun <1963->
Soggetto topico Homotopy theory
Soggetto genere / forma Electronic books.
ISBN 981-4551-25-2
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Preface; Contents; 1. Chance and Challenge: A Brief Review of Homotopy Analysis Method; 1.1. Background; 1.2. A brief history of the HAM; 1.3. Some advances of the HAM; 1.3.1. Generalized zeroth-order deformation equation; 1.3.2. Spectral HAM and complicated auxiliary operator; 1.3.3. Predictor HAM and multiple solutions; 1.3.4. Convergence condition and HAM-based software; 1.4. Relationships to other methods; 1.5. Chance and challenge: some suggested problems; 1.5.1. Periodic solutions of chaotic dynamic systems; 1.5.2. Periodic orbits of Newtonian three-body problem
1.5.3. Viscous flow past a sphere1.5.4. Viscous flow past a cylinder; 1.5.5. Nonlinear water waves; Acknowledgment; References; 2. Predictor Homotopy Analysis Method (PHAM); 2.1. Preliminaries; 2.2. Description of the method; 2.2.1. Zeroth-order deformation equation; 2.2.2. High-order deformation equation; 2.2.3. Prediction of the multiple solutions; 2.3. Convergence analysis; 2.4. Some illustrative models; 2.4.1. Nonlinear problem arising in heat transfer; 2.4.1.1. Model and exact solutions; 2.4.1.2. Prediction of dual solutions by the rule of multiplicity of solutions
2.4.1.3. Effective calculation of the two branches of solution2.4.2. Strongly nonlinear Bratu's equation; 2.4.2.1. Problem and exact solutions; 2.4.2.2. Prediction of multiple solutions by the rule of multiplicity of solutions; 2.4.2.3. Effective calculation of the two branches of solution; 2.4.3. Nonlinear reaction-diffusion model; 2.4.3.1. Equation and exact solutions; 2.4.3.2. Prediction of multiple solutions by the rule of multiplicity of solutions; 2.4.3.3. Calculation of the two branches of solution; 2.4.4. Mixed convection flows in a vertical channel
2.4.4.1. Prediction of dual solutions by the rule of multiplicity of solutions2.4.4.2. Effective calculation of the two branches of solution; 2.4.4.3. Further results; 2.5. Concluding remarks; References; 3. Spectral Homotopy Analysis Method for Nonlinear Boundary Value Problems; 3.1. Introduction; 3.2. Basic ideas of the spectral homotopy analysis method; 3.3. Some applications of the spectral homotopy analysis method; 3.3.1. Falkner-Skan boundary layer flow; 3.3.2. Eigenvalue problems; 3.3.3. Boundary value problems with multiple solutions; 3.3.4. Coupled nonlinear boundary value equations
Record Nr. UNINA-9910526910103321
Hackensack, New Jersey : , : World Scientific, , [2014]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
The algebraic characterization of geometric 4-manifolds / J. A. Hillman
The algebraic characterization of geometric 4-manifolds / J. A. Hillman
Autore Hillman, Jonathan A.
Pubbl/distr/stampa Cambridge : Cambridge University Press, 1994
Descrizione fisica ix, 170 p. ; 23 cm
Disciplina 514.3
Collana London Mathematical Society lecture note series, 0076-0552 ; 198
Soggetto topico Four-manifolds (Topology)
Homotopy theory
ISBN 0521467780
Classificazione AMS 57N65
AMS 57P10
AMS 57Q10
AMS 57R
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNISALENTO-b10738964
Hillman, Jonathan A.  
Cambridge : Cambridge University Press, 1994
Materiale a stampa
Lo trovi qui: Univ. del Salento
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Algebraic cobordism and K-theory / / Victor P. Snaith
Algebraic cobordism and K-theory / / Victor P. Snaith
Autore Snaith Victor P (Victor Percy), <1944->
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , [1979]
Descrizione fisica 1 online resource (163 p.)
Disciplina 514/.23
Collana Memoirs of the American Mathematical Society
Soggetto topico Cobordism theory
K-theory
Homotopy theory
Soggetto genere / forma Electronic books.
ISBN 1-4704-0602-0
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Table of Contents""; ""Prologue - global summary of results and motivation""; ""Part I: Cobordism and the stable homotopy of classifying space""; ""Â1: Introduction, statement of results of Part I""; ""Â2: Computations with the transfer""; ""Â3: Factorisations of QBU(l), QB0(2) and QBSp(l)""; ""Â4: Stable decompositions of BU, BSp, BO and BSO""; ""Â5: The first connections of â??[sup(s)][sub(*)](BG) with cobordism""; ""Â6: A computation - application to â??[sup(s)][sub(*)](BG)(BU(n))""
""Â7: The deviation from additivity of the real transfer and of the Becker-Gottlieb solution to the real Adams conjecture""""Â8: Stable decompositions of BGL3F[sub(q)] and B03F[sub(3)]""; ""Part II: A new construction of unitary and symplectic cobordism""; ""Â0: Introduction, statement of results of Part II""; ""Â1: The homology of the stable decomposition of Ω[sup(t)]Σ[sup(t)]BU(1)""; ""Â2: AU° (X), ASp°(X) and their relation with cobordism""; ""Â3: The spectra AU and ASp""; ""Â4: Adams operations in MU- and AU-theory""
""Â0: Introduction, statement of results of Part III""""Â1: The spectrum X(b) - examples including cobordism, K-Theory and algebraic cobordism""; ""Â2: The stable homotopy of BO, some new elements in â??[sup(s)][sub(*)](BO)""; ""Â3: Unoriented cobordism as an X(b)-spectrum""; ""Â4: New elements in â??[sup(s)][sub(*)](ImJ)""; ""Â5: The algebraic cobordism of Z and its epimorphism onto â??[sub(*)](MO)""; ""Part IV: Algebraic cobordism and geometry""; ""Â0: Epilogue, statement of results and the advocation of a cobordismic viewpoint""
""Â1: Algebraic vector bundles over number fields, a remark on a problem of Atiyah""""Â2: An analogue of the Pontrjagin-Thom construction on the etale site, with examples""; ""Â3: Some computations of the p-adic algebraic cobordism of schemes over Spec IF[sub(q)]""; ""Â4: Units, p-adic cobordism of IF[sub(q)] -algebras and their Quillen K-theory""; ""Â5: Twelve problems arising from Parts I - IV""; ""Â6: Bibliography""; ""Â7: Footnotes""
Record Nr. UNINA-9910480023703321
Snaith Victor P (Victor Percy), <1944->  
Providence, Rhode Island : , : American Mathematical Society, , [1979]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Algebraic cobordism and K-theory / / Victor P. Snaith
Algebraic cobordism and K-theory / / Victor P. Snaith
Autore Snaith Victor P (Victor Percy), <1944->
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , [1979]
Descrizione fisica 1 online resource (163 p.)
Disciplina 514/.23
Collana Memoirs of the American Mathematical Society
Soggetto topico Cobordism theory
K-theory
Homotopy theory
Soggetto genere / forma Electronic books.
ISBN 1-4704-0602-0
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Table of Contents""; ""Prologue - global summary of results and motivation""; ""Part I: Cobordism and the stable homotopy of classifying space""; ""Â1: Introduction, statement of results of Part I""; ""Â2: Computations with the transfer""; ""Â3: Factorisations of QBU(l), QB0(2) and QBSp(l)""; ""Â4: Stable decompositions of BU, BSp, BO and BSO""; ""Â5: The first connections of â??[sup(s)][sub(*)](BG) with cobordism""; ""Â6: A computation - application to â??[sup(s)][sub(*)](BG)(BU(n))""
""Â7: The deviation from additivity of the real transfer and of the Becker-Gottlieb solution to the real Adams conjecture""""Â8: Stable decompositions of BGL3F[sub(q)] and B03F[sub(3)]""; ""Part II: A new construction of unitary and symplectic cobordism""; ""Â0: Introduction, statement of results of Part II""; ""Â1: The homology of the stable decomposition of Ω[sup(t)]Σ[sup(t)]BU(1)""; ""Â2: AU° (X), ASp°(X) and their relation with cobordism""; ""Â3: The spectra AU and ASp""; ""Â4: Adams operations in MU- and AU-theory""
""Â0: Introduction, statement of results of Part III""""Â1: The spectrum X(b) - examples including cobordism, K-Theory and algebraic cobordism""; ""Â2: The stable homotopy of BO, some new elements in â??[sup(s)][sub(*)](BO)""; ""Â3: Unoriented cobordism as an X(b)-spectrum""; ""Â4: New elements in â??[sup(s)][sub(*)](ImJ)""; ""Â5: The algebraic cobordism of Z and its epimorphism onto â??[sub(*)](MO)""; ""Part IV: Algebraic cobordism and geometry""; ""Â0: Epilogue, statement of results and the advocation of a cobordismic viewpoint""
""Â1: Algebraic vector bundles over number fields, a remark on a problem of Atiyah""""Â2: An analogue of the Pontrjagin-Thom construction on the etale site, with examples""; ""Â3: Some computations of the p-adic algebraic cobordism of schemes over Spec IF[sub(q)]""; ""Â4: Units, p-adic cobordism of IF[sub(q)] -algebras and their Quillen K-theory""; ""Â5: Twelve problems arising from Parts I - IV""; ""Â6: Bibliography""; ""Â7: Footnotes""
Record Nr. UNINA-9910537244703321
Snaith Victor P (Victor Percy), <1944->  
Providence, Rhode Island : , : American Mathematical Society, , [1979]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Algebraic K-theory and localised stable homotopy theory / / Victor Snaith
Algebraic K-theory and localised stable homotopy theory / / Victor Snaith
Autore Snaith Victor P (Victor Percy), <1944->
Pubbl/distr/stampa Providence, R.I., USA : , : American Mathematical Society, , [1983]
Descrizione fisica 1 online resource (116 p.)
Disciplina 510 s
514/.23
Collana Memoirs of the American Mathematical Society
Soggetto topico K-theory
Homotopy theory
Soggetto genere / forma Electronic books.
ISBN 1-4704-0690-X
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""ÂIII.1: The descent spectral sequence in localised equivariant stable homotopy""""ÂIII.2: Some examples of representatives and differentials in the spectral sequence""; ""ÂIII.3: Examples of the descent spectral sequence""; ""Part IV â€? Further applications to algebraic K-theory""; ""ÂIV.1: Thomason's Cech construction, H(X; F) and K[sup(top)][sub(*)](X)""; ""ÂIV.2: K-theory eventually surjects onto K[sup(top)] for local/global fields and their algebraic integers""; ""ÂIV.3: An upper bound for (Bott periodic) algebraic K-theory""
""ÂIV.4: Bott periodic algebraic K-theory and the class group""""References""
Record Nr. UNINA-9910480727803321
Snaith Victor P (Victor Percy), <1944->  
Providence, R.I., USA : , : American Mathematical Society, , [1983]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Algebraic K-theory and localised stable homotopy theory / / Victor Snaith
Algebraic K-theory and localised stable homotopy theory / / Victor Snaith
Autore Snaith Victor P (Victor Percy), <1944->
Pubbl/distr/stampa Providence, R.I., USA : , : American Mathematical Society, , [1983]
Descrizione fisica 1 online resource (116 p.)
Disciplina 510 s
514/.23
Collana Memoirs of the American Mathematical Society
Soggetto topico K-theory
Homotopy theory
Soggetto genere / forma Electronic books.
ISBN 1-4704-0690-X
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""ÂIII.1: The descent spectral sequence in localised equivariant stable homotopy""""ÂIII.2: Some examples of representatives and differentials in the spectral sequence""; ""ÂIII.3: Examples of the descent spectral sequence""; ""Part IV â€? Further applications to algebraic K-theory""; ""ÂIV.1: Thomason's Cech construction, H(X; F) and K[sup(top)][sub(*)](X)""; ""ÂIV.2: K-theory eventually surjects onto K[sup(top)] for local/global fields and their algebraic integers""; ""ÂIV.3: An upper bound for (Bott periodic) algebraic K-theory""
""ÂIV.4: Bott periodic algebraic K-theory and the class group""""References""
Record Nr. UNINA-9910542645603321
Snaith Victor P (Victor Percy), <1944->  
Providence, R.I., USA : , : American Mathematical Society, , [1983]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Algebraic models in geometry [[electronic resource] /] / Yves Félix, John Oprea, Daniel Tanré
Algebraic models in geometry [[electronic resource] /] / Yves Félix, John Oprea, Daniel Tanré
Autore Félix Y (Yves)
Pubbl/distr/stampa Oxford, : Oxford University Press, 2008
Descrizione fisica 1 online resource (483 p.)
Disciplina 514.24
Altri autori (Persone) OpreaJohn
TanréDaniel
Collana Oxford graduate texts in mathematics
Soggetto topico Homotopy theory
Geometry, Algebraic
Soggetto genere / forma Electronic books.
ISBN 1-281-34180-0
9786611341800
0-19-152569-3
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Preface; Contents; 1 Lie groups and homogeneous spaces; 2 Minimal models; 3 Manifolds; 4 Complex and symplectic manifolds; 5 Geodesics; 6 Curvature; 7 G-spaces; 8 Blow-ups and Intersection Products; 9 A Florilège of geometric applications; A: De Rham forms; B: Spectral sequences; C: Basic homotopy recollections; References; Index
Record Nr. UNINA-9910454385903321
Félix Y (Yves)  
Oxford, : Oxford University Press, 2008
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Algebraic models in geometry [[electronic resource] /] / Yves Félix, John Oprea, Daniel Tanré
Algebraic models in geometry [[electronic resource] /] / Yves Félix, John Oprea, Daniel Tanré
Autore Félix Y (Yves)
Pubbl/distr/stampa Oxford, : Oxford University Press, 2008
Descrizione fisica 1 online resource (483 p.)
Disciplina 514.24
Altri autori (Persone) OpreaJohn
TanréDaniel
Collana Oxford graduate texts in mathematics
Soggetto topico Homotopy theory
Geometry, Algebraic
Soggetto genere / forma Electronic books.
ISBN 1-281-34180-0
9786611341800
0-19-152569-3
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Preface; Contents; 1 Lie groups and homogeneous spaces; 2 Minimal models; 3 Manifolds; 4 Complex and symplectic manifolds; 5 Geodesics; 6 Curvature; 7 G-spaces; 8 Blow-ups and Intersection Products; 9 A Florilège of geometric applications; A: De Rham forms; B: Spectral sequences; C: Basic homotopy recollections; References; Index
Record Nr. UNINA-9910544501603321
Félix Y (Yves)  
Oxford, : Oxford University Press, 2008
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Algebraic topology / Tammo tom Dieck
Algebraic topology / Tammo tom Dieck
Autore Dieck, Tammo : tom
Pubbl/distr/stampa Zurich : European Mathematical Society, c2008
Descrizione fisica xi, 567 p. ; 24 cm
Disciplina 514.2
Collana EMS textbooks in mathematics
Soggetto topico Algebraic topology
Homotopy theory
Homology theory
ISBN 9783037190487
3037190485
Classificazione AMS 55-01
AMS 57-01
LC QA612.D53
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNISALENTO-b13836808
Dieck, Tammo : tom  
Zurich : European Mathematical Society, c2008
Materiale a stampa
Lo trovi qui: Univ. del Salento
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