birkhäuser basel springer basel jan 2013 (11 résultats)

Taschenbuch. Etat : Neu. Neuware -This volulme features eight original papers dedicated to the theme ¿Persian Architecture and Mathematics,¿ guest edited by Reza Sarhangi. All papers were approved through a rigorous process of blind peer review and edited by an interdisciplinary scientific editorial committee. Topics range from symmetry in ancient Persian architecture to the elaborate geometric patterns and complex three-dimensional structures of standing monuments of historical periods, from the expression of mathematical ideas to architectonic structures, and from decorative ornament to the representation of modern group theory and quasi-crystalline patterns. The articles discuss unique monuments Persia, including domed structures and two-dimensional patterns, which have received significant scholarly attention in recent years. This book is a unique contribution to studies of Persian architecture in relation to mathematics.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 220 pp. Englisch.

Buch. Etat : Neu. Neuware -This book primarily concerns quasilinear and semilinear elliptic and parabolic partial differential equations, inequalities, and systems. The exposition leads the reader through the general theory based on abstract (pseudo-) monotone or accretive operators as fast as possible towards the analysis of concrete differential equations, which have specific applications in continuum (thermo-) mechanics of solids and fluids, electrically (semi-) conductive media, modelling of biological systems, or in mechanical engineering. Selected parts aremainly an introduction into the subject while some others form an advanced textbook.Thesecond edition simplifies and extends the exposition at particular spots and augments the applications especially towards thermally coupled systems, magnetism, and more. The intended audience is graduate and PhD students as well as researchers in the theory of partial differential equations or in mathematical modelling of distributed parameter systems.The monograph contains a wealth of material in both the abstract theory of steady-state or evolution equations of monotone and accretive type and concrete applications to nonlinear partial differential equations from mathematical modeling. The organization of the material is well done, and the presentation, although concise, is clear, elegant and rigorous. (¿) this book is a notable addition to the existing literature. Also, it certainly will prove useful to engineers, physicists, biologists and other scientists interested in the analysis of (.) nonlinear differential models of the real world.(Mathematical Reviews)Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 496 pp. Englisch.

Buch. Etat : Neu. Neuware -The book demonstrates the development of integral geometry on domains of homogeneous spaces since 1990. It covers a wide range of topics, including analysis on multidimensional Euclidean domains and Riemannian symmetric spaces of arbitrary ranks as well as recent work on phase space and the Heisenberg group. The book includes many significant recent results, some of them hitherto unpublished, among which can be pointed out uniqueness theorems for various classes of functions, far-reaching generalizations of the two-radii problem, the modern versions of the Pompeiu problem, and explicit reconstruction formulae in problems of integral geometry. These results are intriguing and useful in various fields of contemporary mathematics. The proofs given are ¿minimal¿ in the sense that they involve only those concepts and facts which are indispensable for the essence of the subject. Each chapter provides a historical perspective on the results presented and includes many interesting open problems. Readers will find this book relevant to harmonic analysis on homogeneous spaces, invariant spaces theory, integral transforms on symmetric spaces and the Heisenberg group, integral equations, special functions, and transmutation operators theory.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 604 pp. Englisch.

Buch. Etat : Neu. Neuware -The conference Operator Theory, Analysis and Mathematical Physics ¿ OTAMP is a regular biennial event devoted to mathematical problems on the border between analysis and mathematical physics. The current volume presents articles written by participants, mostly invited speakers, and is devoted to problems at the forefront of modern mathematical physics such as spectral properties of CMV matrices and inverse problems for the non-classical Schrödinger equation. Other contributions deal withequations from mathematical physics and study their properties using methods of spectral analysis. The volume exploresseveral new directions of research and may serve as a source of new ideas and problems for all scientists interested in modern mathematical physics.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 188 pp. Englisch.

Buch. Etat : Neu. Neuware -This volume is dedicated to Professor Stefan Samko on the occasion of his seventieth birthday. The contributions display the range of his scientific interests in harmonic analysis and operator theory. Particular attentionis paidto fractional integrals and derivatives, singular, hypersingular and potential operators in variable exponent spaces, pseudodifferential operators in various modern function and distribution spaces, as well asrelated applications, to mention but a few. Most contributions were firstly presented in two conferences at Lisbon and Aveiro, Portugal, in June¿July 2011.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 404 pp. Englisch.

Taschenbuch. Etat : Neu. Neuware -Inhaltsangabe1 Propaedeutic.- 1.1 Gobbets.- 1.2 Micropaedia.- 1.3 On the philosophy of mathematics.- 1.4 On the historiography of mathematics.- 1.5 On the organisation of the text.- 2 Institutions and individuals around the 1800s.- 2.1 Plan of the chapter.- 2.2 Research at the Institut and elsewhere.- 2.3 Education at the Ecole Polytechnique.- 2.4 Other schools, mostly in Paris.- 2.5 Major and minor figures.- 2.6 New men and a new profession.- 3 The 18th-century heritage: the calculus around 1800.- 3.1 Plan of the chapter.- 3.2 The foundations of the calculus in the late 18th century.- 3.3 On differential equations.- 3.4 On series, functions and integrals.- 3.5 On differences, interpolation and tables.- 3.6 Concluding comments: the aspirations of Lacroix 183.- 4 The Lagrangian tradition in the calculus, 1800-1815.- 4.1 Plan of the chapter.- 4.2 New figures, and a new journal.- 4.3 Consequences of Lagrange: functions and the new algebras.- 4.4 Differential and difference equations.- 4.5 On the calculus of variations.- 4.6 Equations and their roots.- 4.7 Case studies in the relationship between geometry and algebra.- 4.8 Concluding comments.- Interlude 480.1 The calculus outside France.- 5 The 18th-century heritage: mechanics around 1800.- 5.1 Prefaces.- 5.2 Principles and scope of mechanics in the late 18th century.- 5.3 Two main results, and their various proofs.- 5.4 On celestial mechanics.- 5.5 On planetary mechanics.- 5.6 Concluding comment: the aspirations of Laplace.- Interlude 525.1 Notes on handling differential models in mathematical physics.- 6 Progress in mechanics, 1800-1815.- 6.1 Prefaces.- 6.2 Research and education in terrestrial mechanics.- 6.3 Variational mechanics: the Poisson and Lagrange brackets, 1808-1810.- 6.4 Celestial and planetary mechanics-with statistics.- 6.5 Potential theory and the pendulum.- 6.6 Concluding comments.- Interlude 641.1 Notes on German theoretical astronomy.- Interlude 660.1 Mechanics outside France.- 7 Laplace's mathematicised molecular physics, 1804-1816.- 7.1 Prefaces.- 7.2 The first steps.- 7.3 Poisson versus Germain on elastic surfaces, 1811-1815.- 7.4 On Laplacian optics.- 7.5 On Newtonian electricity and magnetism.- 7.6 Poisson's inauguration of mathematical electrostatics, 1812-1813.- 7.7 Concluding comment: the aspirations of the Laplacians.- 8 Aspects of engineering mathematics, 1800-1816.- 8.1 Prefaces.- 8.2 Some principal figures and organisations.- 8.3 Perspectives on descriptive geometry.- 8.4 On the engineering science of materials.- 8.5 On the engineering studies of fluids.- 8.6 Concluding comment: the spectrum of engineering mathematics.- Interlude 860.1 On engineering outside France.- 9 The entry of Fourier: heat theory and Fourier analysis, 1800-1816.- 9.1 Prefaces.- 9.2 The diffusion equation and its series solutions.- 9.3 Reactions and further results, 1808-1815.- 9.4 Fourier's prospects.- 9.5 Concluding comment: the aspirations of Fourier.- Interlude 934.1 Notes on the history of the Laplace transform.- 10 The entry of Cauchy: complex variables and differential equations, 1810-1822.- 10.1 Prefaces.- 10.2 Complex variables and the evaluation of integrals, 1810-1815.- 10.3 Poisson and Cauchy on the propagation of waves, 1815-1817.- 10.4 Competing solutions to linear partial differential equations, 1818-1822.- 10.5 Concluding comment: the aspirations of Cauchy.- 11 Cauchy's inauguration of mathematical analysis, 1820-1827.- 11.1 Prefaces.- 11.2 On the general theory of partial differential equations to 1820.- 11.3 Cauchy on the primacy of limits: the Cours d'analyse, 1821.- 11.4 Integrals, real and complex, 1820-1823.- 11.5 Cauchy's calculus, real and complex, 1823-1827.- 11.6 Miscellaneous studies of the mid 1820s.- 11.7 Concluding comments: the position of Cauchy.- Interlude 1170.1 Notes on mathematical analysis outside France.- 12 The consolidation of heat theory, 1816-1825.- 12.1 Plan of the chapter.- 12.2 New studies of the physics of heat.- 12.3 'Elastic fluids' and the vSpringer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 1616 pp. Englisch.

Buch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -This is the first comprehensive monograph on the mathematical theory of the solitaire game ¿The Tower of Hanoi¿ which was invented in the 19th century by the French number theorist Édouard Lucas. The book comprises a survey of the historical development from the game¿s predecessors up to recent research in mathematics and applications in computer science and psychology. Apart from long-standing myths it contains a thorough, largely self-contained presentation of the essential mathematical facts with complete proofs, including also unpublished material. The main objects of research today are the so-called Hanoi graphs and the related Sierpi¿ski graphs. Acknowledging the great popularity of the topic in computer science, algorithms and their correctness proofs form an essential part of the book. In view of the most important practical applications of the Tower of Hanoi and its variants, namely in physics, network theory, and cognitive (neuro)psychology, other related structures and puzzles like, e.g., the ¿Tower of London¿, are addressed.Numerous captivating integer sequences arise along the way, but also many open questions impose themselves. Central among these is the famed Frame-Stewart conjecture. Despite many attempts to decide it and large-scale numerical experiments supporting its truth, it remains unsettled after more than 70 years and thus demonstrates the timeliness of the topic.Enriched with elaborate illustrations, connections to other puzzles and challenges for the reader in the form of (solved) exercises as well as problems for further exploration, this book is enjoyable reading for students, educators, game enthusiasts and researchers alike.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 352 pp. Englisch.

Buch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The book demonstrates the development of integral geometry on domains of homogeneous spaces since 1990. It covers a wide range of topics, including analysis on multidimensional Euclidean domains and Riemannian symmetric spaces of arbitrary ranks as well as recent work on phase space and the Heisenberg group. The book includes many significant recent results, some of them hitherto unpublished, among which can be pointed out uniqueness theorems for various classes of functions, far-reaching generalizations of the two-radii problem, the modern versions of the Pompeiu problem, and explicit reconstruction formulae in problems of integral geometry. These results are intriguing and useful in various fields of contemporary mathematics. The proofs given are 'minimal' in the sense that they involve only those concepts and facts which are indispensable for the essence of the subject. Each chapter provides a historical perspective on the results presented and includes many interesting open problems. Readers will find this book relevant to harmonic analysis on homogeneous spaces, invariant spaces theory, integral transforms on symmetric spaces and the Heisenberg group, integral equations, special functions, and transmutation operators theory. 604 pp. Englisch.

Taschenbuch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -Over the last years, stochastic analysis has had an enormous progress with the impetus originating from different branches of mathematics: PDE's and the Malliavin calculus, quantum physics, path space analysis on curved manifolds via probabilistic methods, and more.This volume contains selected contributions which were presented at the 8th Silivri Workshop on Stochastic Analysis and Related Topics, held in September 2000 in Gazimagusa, North Cyprus.The topics include stochastic control theory, generalized functions in a nonlinear setting, tangent spaces of manifold-valued paths with quasi-invariant measures, and applications in game theory, theoretical biology and theoretical physics.Contributors: A.E. Bashirov, A. Bensoussan and J. Frehse, U. Capar and H. Aktuglul, A.B. Cruzeiro and Kai-Nan Xiang, E. Hausenblas, Y. Ishikawa, N. Mahmudov, P. Malliavin and U. Taneri, N. Privault, A.S. ÜstünelSpringer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 220 pp. Englisch.

Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Over the last years, stochastic analysis has had an enormous progress with the impetus originating from different branches of mathematics: PDE's and the Malliavin calculus, quantum physics, path space analysis on curved manifolds via probabilistic methods, and more.This volume contains selected contributions which were presented at the 8th Silivri Workshop on Stochastic Analysis and Related Topics, held in September 2000 in Gazimagusa, North Cyprus.The topics include stochastic control theory, generalized functions in a nonlinear setting, tangent spaces of manifold-valued paths with quasi-invariant measures, and applications in game theory, theoretical biology and theoretical physics.Contributors: A.E. Bashirov, A. Bensoussan and J. Frehse, U. Capar and H. Aktuglul, A.B. Cruzeiro and Kai-Nan Xiang, E. Hausenblas, Y. Ishikawa, N. Mahmudov, P. Malliavin and U. Taneri, N. Privault, A.S. Üstünel 208 pp. Englisch.

Sonstige Video. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Inhaltsangabe1 Propaedeutic.- 1.1 Gobbets.- 1.2 Micropaedia.- 1.3 On the philosophy of mathematics.- 1.4 On the historiography of mathematics.- 1.5 On the organisation of the text.- 2 Institutions and individuals around the 1800s.- 2.1 Plan of the chapter.- 2.2 Research at the Institut and elsewhere.- 2.3 Education at the Ecole Polytechnique.- 2.4 Other schools, mostly in Paris.- 2.5 Major and minor figures.- 2.6 New men and a new profession.- 3 The 18th-century heritage: the calculus around 1800.- 3.1 Plan of the chapter.- 3.2 The foundations of the calculus in the late 18th century.- 3.3 On differential equations.- 3.4 On series, functions and integrals.- 3.5 On differences, interpolation and tables.- 3.6 Concluding comments: the aspirations of Lacroix 183.- 4 The Lagrangian tradition in the calculus, 1800-1815.- 4.1 Plan of the chapter.- 4.2 New figures, and a new journal.- 4.3 Consequences of Lagrange: functions and the new algebras.- 4.4 Differential and difference equations.- 4.5 On the calculus of variations.- 4.6 Equations and their roots.- 4.7 Case studies in the relationship between geometry and algebra.- 4.8 Concluding comments.- Interlude 480.1 The calculus outside France.- 5 The 18th-century heritage: mechanics around 1800.- 5.1 Prefaces.- 5.2 Principles and scope of mechanics in the late 18th century.- 5.3 Two main results, and their various proofs.- 5.4 On celestial mechanics.- 5.5 On planetary mechanics.- 5.6 Concluding comment: the aspirations of Laplace.- Interlude 525.1 Notes on handling differential models in mathematical physics.- 6 Progress in mechanics, 1800-1815.- 6.1 Prefaces.- 6.2 Research and education in terrestrial mechanics.- 6.3 Variational mechanics: the Poisson and Lagrange brackets, 1808-1810.- 6.4 Celestial and planetary mechanics-with statistics.- 6.5 Potential theory and the pendulum.- 6.6 Concluding comments.- Interlude 641.1 Notes on German theoretical astronomy.- Interlude 660.1 Mechanics outside France.- 7 Laplace's mathematicised molecular physics, 1804-1816.- 7.1 Prefaces.- 7.2 The first steps.- 7.3 Poisson versus Germain on elastic surfaces, 1811-1815.- 7.4 On Laplacian optics.- 7.5 On Newtonian electricity and magnetism.- 7.6 Poisson's inauguration of mathematical electrostatics, 1812-1813.- 7.7 Concluding comment: the aspirations of the Laplacians.- 8 Aspects of engineering mathematics, 1800-1816.- 8.1 Prefaces.- 8.2 Some principal figures and organisations.- 8.3 Perspectives on descriptive geometry.- 8.4 On the engineering science of materials.- 8.5 On the engineering studies of fluids.- 8.6 Concluding comment: the spectrum of engineering mathematics.- Interlude 860.1 On engineering outside France.- 9 The entry of Fourier: heat theory and Fourier analysis, 1800-1816.- 9.1 Prefaces.- 9.2 The diffusion equation and its series solutions.- 9.3 Reactions and further results, 1808-1815.- 9.4 Fourier's prospects.- 9.5 Concluding comment: the aspirations of Fourier.- Interlude 934.1 Notes on the history of the Laplace transform.- 10 The entry of Cauchy: complex variables and differential equations, 1810-1822.- 10.1 Prefaces.- 10.2 Complex variables and the evaluation of integrals, 1810-1815.- 10.3 Poisson and Cauchy on the propagation of waves, 1815-1817.- 10.4 Competing solutions to linear partial differential equations, 1818-1822.- 10.5 Concluding comment: the aspirations of Cauchy.- 11 Cauchy's inauguration of mathematical analysis, 1820-1827.- 11.1 Prefaces.- 11.2 On the general theory of partial differential equations to 1820.- 11.3 Cauchy on the primacy of limits: the Cours d'analyse, 1821.- 11.4 Integrals, real and complex, 1820-1823.- 11.5 Cauchy's calculus, real and complex, 1823-1827.- 11.6 Miscellaneous studies of the mid 1820s.- 11.7 Concluding comments: the position of Cauchy.- Interlude 1170.1 Notes on mathematical analysis outside France.- 12 The consolidation of heat theory, 1816-1825.- 12.1 Plan of the c.