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  • Harmonic Vector Fields

    Variational Principles and Differential Geometry

    An excellent reference for anyone needing to examine properties of harmonic vector fields to help them solve research problems. The book provides the main results of harmonic vector fields with an emphasis on Riemannian manifolds using past and existing problems to assist you in analyzing and furnishing your own conclusion for further research. It emphasizes a combination of theoretical development ... Leer más

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  • First Steps in Differential Geometry

    Riemannian, Contact, Symplectic

    Series series Mathematics and Statistics (R0)
    Differential geometry arguably offers the smoothest transition from the standard university mathematics sequence of the first four semesters in calculus, linear algebra, and differential equations to the higher levels of abstraction and proof encountered at the upper division by mathematics majors. Today it is possible to describe differential geometry as "the study of structures on the tangent ... Leer más

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  • Calculus with Vectors

    Series series Mathematics and Statistics (R0)
    Calculus with Vectors grew out of a strong need for a beginning calculus textbook for undergraduates who intend to pursue careers in STEM fields. The approach introduces vector-valued functions from the start, emphasizing the connections between one-variable and multi-variable calculus. The text includes early vectors and early transcendentals and includes a rigorous but informal approach to ... Leer más

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  • Inside Interesting Integrals

    A Collection of Sneaky Tricks, Sly Substitutions, and Numerous Other Stupendously Clever, Awesomely Wicked, and Devilishly Seductive Maneuvers for Computing Nearly 200 Perplexing Definite Integrals From Physics, Engineering, and Mathematics (Plus 60

    de Paul J. Nahin ...
    Series series Undergraduate Lecture Notes in Physics
    What’s the point of calculating definite integrals since you can’t possibly do them all?.What makes doing the specific integrals in this book of value aren’t the specific answers we’ll obtain, but rather the methods we’ll use in obtaining those answers; methods you can use for evaluating the integrals you will encounter in the future.This book is written in a light-hearted manner for students who ... Leer más

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  • Introduction to Global Variational Geometry

    Series Libro 1 - Atlantis Studies in Variational Geometry
    The book is devoted to recent research in the global variational theory on smooth manifolds. Its main objective is an extension of the classical variational calculus on Euclidean spaces to (topologically nontrivial) finite-dimensional smooth manifolds; to this purpose the methods of global analysis of differential forms are used. Emphasis is placed on the foundations of the theory of variational ... Leer más

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  • Elementary Differential Geometry, Revised 2nd Edition

    Written primarily for students who have completed the standard first courses in calculus and linear algebra, Elementary Differential Geometry, Revised 2nd Edition, provides an introduction to the geometry of curves and surfaces. The Second Edition maintained the accessibility of the first, while providing an introduction to the use of computers and expanding discussion on certain topics. Further ... Leer más

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  • Quantum Isometry Groups

    Series series Infosys Science Foundation Series in Mathematical Sciences
    This book offers an up-to-date overview of the recently proposed theory of quantum isometry groups. Written by the founders, it is the first book to present the research on the “quantum isometry group”, highlighting the interaction of noncommutative geometry and quantum groups, which is a noncommutative generalization of the notion of group of isometry of a classical Riemannian manifold. The ... Leer más

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  • Topics in Physical Mathematics

    Series series Mathematics and Statistics (R0)
    As many readers will know, the 20th century was a time when the fields of mathematics and the sciences were seen as two separate entities. Caused by the rapid growth of the physical sciences and an increasing abstraction in mathematical research, each party, physicists and mathematicians alike, suffered a misconception; not only of the opposition’s theoretical underpinning, but of how the two ... Leer más

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  • Spectral Theory and Quantum Mechanics

    With an Introduction to the Algebraic Formulation

    Series series Mathematics and Statistics (R0)
    This book pursues the accurate study of the mathematical foundations of Quantum Theories. It may be considered an introductory text on linear functional analysis with a focus on Hilbert spaces. Specific attention is given to spectral theory features that are relevant in physics. Having left the physical phenomenology in the background, it is the formal and logical aspects of the theory that are ... Leer más

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  • Progress in Mathematical Relativity, Gravitation and Cosmology

    Proceedings of the Spanish Relativity Meeting ERE2012, University of Minho, Guimarães, Portugal, September 3-7, 2012

    Series series Springer Nature Proceedings excluding Computer Science
    This book contains contributions from the Spanish Relativity Meeting, ERE 2012, held inGuimarães, Portugal, September 2012. It features more than 70 papers on a range of topics in general relativity and gravitation, from mathematical cosmology, numerical relativity and black holes to string theory and quantum gravity.Under the title "Progress in Mathematical Relativity, Gravitation and Cosmology," ... Leer más

    $143.99 USD

  • Pseudodifferential Equations Over Non-Archimedean Spaces

    Series series Mathematics and Statistics (R0)
    Focusing on p-adic and adelic analogues of pseudodifferential equations, this monograph presents a very general theory of parabolic-type equations and their Markov processes motivated by their connection with models of complex hierarchic systems. The Gelfand-Shilov method for constructing fundamental solutions using local zeta functions is developed in a p-adic setting and several particular ... Leer más

    $40.99 USD

  • The Three-Body Problem and the Equations of Dynamics

    Poincaré’s Foundational Work on Dynamical Systems Theory

    Traducido por Bruce D Popp ...
    Series series Physics and Astronomy (R0)
    Here is an accurate and readable translation of a seminal article by Henri Poincaré that is a classic in the study of dynamical systems popularly called chaos theory. In an effort to understand the stability of orbits in the solar system, Poincaré applied a Hamiltonian formulation to the equations of planetary motion and studied these differential equations in the limited case of three bodies to ... Leer más

    $134.99 USD