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  • Variational Methods in Nonlinear Field Equations

    Solitary Waves, Hylomorphic Solitons and Vortices

    Series series Mathematics and Statistics (R0)
    The book analyzes the existence of solitons, namely of finite energy solutions of field equations which exhibit stability properties. The book is divided in two parts. In the first part, the authors give an abstract definition of solitary wave and soliton and we develop an abstract existence theory for hylomorphic solitons, namely for those solitons which minimize the energy for a given charge. In ... Read more

    $49.99 USD

  • How To Measure The Infinite: Mathematics With Infinite And Infinitesimal Numbers

    'This text shows that the study of the almost-forgotten, non-Archimedean mathematics deserves to be utilized more intently in a variety of fields within the larger domain of applied mathematics.'CHOICEThis book contains an original introduction to the use of infinitesimal and infinite numbers, namely, the Alpha-Theory, which can be considered as an alternative approach to nonstandard analysis.The ... Read more

    $84.99 USD

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  • Complex Analysis and Differential Equations

    Series series Mathematics and Statistics (R0)
    This text provides an accessible, self-contained and rigorous introduction to complex analysis and differential equations. Topics covered include holomorphic functions, Fourier series, ordinary and partial differential equations.The text is divided into two parts: part one focuses on complex analysis and part two on differential equations. Each part can be read independently, so in essence this ... Read more

    $31.99 USD

  • Hypernumbers and Extrafunctions

    Extending the Classical Calculus

    by Mark Burgin ...
    Series series Mathematics and Statistics (R0)
    “Hypernumbers and Extrafunctions” presents a rigorous mathematical approach to operate with infinite values. First, concepts of real and complex numbers are expanded to include a new universe of numbers called hypernumbers which includes infinite quantities. This brief extends classical calculus based on real functions by introducing extrafunctions, which generalize not only the concept of a ... Read more

    $40.49 USD

  • Inverse Acoustic and Electromagnetic Scattering Theory

    Series series Mathematics and Statistics (R0)
    The inverse scattering problem is central to many areas of science and technology such as radar and sonar, medical imaging, geophysical exploration and nondestructive testing. This book is devoted to the mathematical and numerical analysis of the inverse scattering problem for acoustic and electromagnetic waves. In this third edition, new sections have been added on the linear sampling and ... Read more

    $143.99 USD

  • The Analysis and Geometry of Hardy's Inequality

    Series series Mathematics and Statistics (R0)
    This volume presents advances that have been made over recent decades in areas of research featuring Hardy's inequality and related topics. The inequality and its extensions and refinements are not only of intrinsic interest but are indispensable tools in many areas of mathematics and mathematical physics.Hardy inequalities on domains have a substantial role and this necessitates a detailed ... Read more

    $58.99 USD

  • From Particle Systems to Partial Differential Equations

    Particle Systems and PDEs, Braga, Portugal, December 2012

    Series series Springer Nature Proceedings excluding Computer Science
    This book presents the proceedings of the international conference Particle Systems and Partial Differential Equations I, which took place at the Centre of Mathematics of the University of Minho, Braga, Portugal, from the 5th to the 7th of December, 2012.The purpose of the conference was to bring together world leaders to discuss their topics of expertise and to present some of their latest ... Read more

    $89.99 USD

  • Advances in Computer Algebra

    In Honour of Sergei Abramov's' 70th Birthday, WWCA 2016, Waterloo, Ontario, Canada

    Series series Springer Nature Proceedings excluding Computer Science
    This book discusses the latest advances in algorithms for symbolic summation, factorization, symbolic-numeric linear algebra and linear functional equations. It presents a collection of papers on original research topics from the Waterloo Workshop on Computer Algebra (WWCA-2016), a satellite workshop of the International Symposium on Symbolic and Algebraic Computation (ISSAC’2016), which was held ... Read more

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  • Studies in Phase Space Analysis with Applications to PDEs

    Series series Mathematics and Statistics (R0)
    This collection of original articles and surveys, emerging from a 2011 conference in Bertinoro, Italy, addresses recent advances in linear and nonlinear aspects of the theory of partial differential equations (PDEs). Phase space analysis methods, also known as microlocal analysis, have continued to yield striking results over the past years and are now one of the main tools of investigation of ... Read more

    $170.99 USD

  • Hyperbolic Conservation Laws and Related Analysis with Applications

    Edinburgh, September 2011

    Series series Springer Nature Proceedings excluding Computer Science
    This book presents thirteen papers, representing the most significant advances and current trends in nonlinear hyperbolic conservation laws and related analysis with applications. Topics covered include a survey on multidimensional systems of conservation laws as well as novel results on liquid crystals, conservation laws with discontinuous flux functions, and applications to sedimentation. Also ... Read more

    $89.09 USD

  • q-Fractional Calculus and Equations

    Series series Mathematics and Statistics (R0)
    This nine-chapter monograph introduces a rigorous investigation of *q-*difference operators in standard and fractional settings. It starts with elementary calculus of *q-*differences and integration of Jackson’s type before turning to *q-*difference equations. The existence and uniqueness theorems are derived using successive approximations, leading to systems of equations with retarded arguments. ... Read more

    $49.99 USD

  • Complex Analysis and Dynamical Systems

    New Trends and Open Problems

    Series series Mathematics and Statistics (R0)
    This book focuses on developments in complex dynamical systems and geometric function theory over the past decade, showing strong links with other areas of mathematics and the natural sciences.Traditional methods and approaches surface in physics and in the life and engineering sciences with increasing frequency – the Schramm‐Loewner evolution, Laplacian growth, and quadratic differentials are ... Read more

    $125.99 USD