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  • Calculus in Vector Spaces, Revised Expanded

    Series series Chapman & Hall/CRC Pure and Applied Mathematics
    Calculus in Vector Spaces addresses linear algebra from the basics to the spectral theorem and examines a range of topics in multivariable calculus. This second edition introduces, among other topics, the derivative as a linear transformation, presents linear algebra in a concrete context based on complementary ideas in calculus, and explains differential forms on Euclidean space, allowing for ... Read more

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    by Arthur Baker ...
    The first step taken in the theory of Elliptic Functions was the determination of a relation between the amplitudes of three functions of either order, such that there should exist an algebraic relation between the three functions themselves of which these were the amplitudes. It is one of the most remarkable discoveries which science owes to Euler.In 1761 he gave to the world the complete ... Read more

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  • Quantum Theory for Mathematicians

    by Brian C. Hall ...
    Series series Mathematics and Statistics (R0)
    Although ideas from quantum physics play an important role in many parts of modern mathematics, there are few books about quantum mechanics aimed at mathematicians. This book introduces the main ideas of quantum mechanics in language familiar to mathematicians. Readers with little prior exposure to physics will enjoy the book's conversational tone as they delve into such topics as the Hilbert ... Read more

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  • Calculus on Normed Vector Spaces

    Series series Mathematics and Statistics (R0)
    This book serves as an introduction to calculus on normed vector spaces at a higher undergraduate or beginning graduate level. The prerequisites include basic calculus and linear algebra, as well as a certain mathematical maturity. All the important topology and functional analysis topics are introduced where necessary.In its attempt to show how calculus on normed vector spaces extends the basic ... Read more

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  • Methods of Applied Mathematics with a Software Overview

    by Jon H. Davis ...
    Series series Mathematics and Statistics (R0)
    This textbook, now in its second edition, provides students with a firm grasp of the fundamental notions and techniques of applied mathematics as well as the software skills to implement them. The text emphasizes the computational aspects of problem solving as well as the limitations and implicit assumptions inherent in the formal methods. Readers are also given a sense of the wide variety of ... Read more

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  • Multivariable Calculus

    by L. Corwin ...
    Series series Chapman & Hall/CRC Pure and Applied Mathematics
    Classroom-tested and lucidly written, Multivariable Calculus gives a thorough and rigoroustreatment of differential and integral calculus of functions of several variables. Designed as ajunior-level textbook for an advanced calculus course, this book covers a variety of notions,including continuity , differentiation, multiple integrals, line and surface integrals, differentialforms, and infinite ... Read more

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  • Periodic Feedback Stabilization for Linear Periodic Evolution Equations

    Series series Mathematics and Statistics (R0)
    This book introduces a number of recent advances regarding periodic feedback stabilization for linear and time periodic evolution equations. First, it presents selected connections between linear quadratic optimal control theory and feedback stabilization theory for linear periodic evolution equations. Secondly, it identifies several criteria for the periodic feedback stabilization from the ... Read more

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  • Linear Response Theory

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    Series series Physics and Astronomy (R0)
    This book presents a modern and systematic approach to Linear Response Theory (LRT) by combining analytic and algebraic ideas. LRT is a tool to study systems that are driven out of equilibrium by external perturbations. In particular the reader is provided with a new and robust tool to implement LRT for a wide array of systems. The proposed formalism in fact applies to periodic and random systems ... Read more

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  • History of Functional Analysis

    by J. Dieudonne ...
    Series Book 49 - North-Holland Mathematics Studies
    History of Functional Analysis presents functional analysis as a rather complex blend of algebra and topology, with its evolution influenced by the development of these two branches of mathematics. The book adopts a narrower definition—one that is assumed to satisfy various algebraic and topological conditions. A moment of reflections shows that this already covers a large part of modern analysis, ... Read more

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  • Sensing and Control for Autonomous Vehicles

    Applications to Land, Water and Air Vehicles

    Series series Engineering (R0)
    This edited volume includes thoroughly collected on sensing and control for autonomous vehicles.Guidance, navigation and motion control systems for autonomous vehicles are increasingly important in land-based, marine and aerial operations. Autonomous underwater vehicles may be used for pipeline inspection, light intervention work, underwater survey and collection of oceanographic/biological data. ... Read more

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  • Variational Methods for Nonlocal Fractional Problems

    Series Book 162 - Encyclopedia of Mathematics and its Applications
    This book provides researchers and graduate students with a thorough introduction to the variational analysis of nonlinear problems described by nonlocal operators. The authors give a systematic treatment of the basic mathematical theory and constructive methods for these classes of nonlinear equations, plus their application to various processes arising in the applied sciences. The equations are ... Read more

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  • Estimation and Control Problems for Stochastic Partial Differential Equations

    Series series Mathematics and Statistics (R0)
    Focusing on research surrounding aspects of insufficiently studied problems of estimation and optimal control of random fields, this book exposes some important aspects of those fields for systems modeled by stochastic partial differential equations. It contains many results of interest to specialists in both the theory of random fields and optimal control theory who use modern mathematical tools ... Read more

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