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Functions of real variables

Most popular at the top

  • Generalized Convexity and Optimizationby Laura Martein; W. Trockel

    Springer 2008; US$ 109.00

    Offers a review of convex analysis and the fundamental theoretical findings on generalized convexity and on optimization, including their applications. This work includes a chapter devoted to generalized monotonicity and its relationship to generalized convexity and with the characterizations of important classes of fractional programming. more...

  • Convex Analysis and Nonlinear Optimizationby Jonathan M. Borwein; Adrian S. Lewis

    Springer 2010; US$ 74.95

    Optimization is a rich and thriving mathematical discipline, and the underlying theory of current computational optimization techniques grows ever more sophisticated. This book aims to provide a concise, accessible account of convex analysis and its applications and extensions, for a broad audience. Each section concludes with an often extensive set... more...

  • Introduction to Piecewise Differentiable Equationsby Stefan Scholtes

    Springer 2012; US$ 49.95

    This brief provides an elementary introduction to the theory of piecewise differentiable functions with an emphasis on differentiable equations. In the first chapter, two sample problems are used to motivate the study of this theory. The presentation is then developed using two basic tools for the analysis of piecewise differentiable functions: the... more...

  • Methods of Optimization and Systems Analysis for Problems of Transcomputational Complexityby Ivan V. Sergienko

    Springer 2012; US$ 109.00

    This work presents lines of investigation and scientific achievements of the Ukrainian school of optimization theory and adjacent disciplines. These include the development of approaches to mathematical theories, methodologies, methods, and application systems for the solution of applied problems in economy, finances, energy saving, agriculture, biology,... more...

  • Mathematical Optimization of Water Networksby Alexander Martin; Kathrin Klamroth; Jens Lang

    Springer 2012; US$ 109.00

    Water supply - and drainage systems and mixed water channel systems are networks whose high dynamic is determined and/or affected by consumer habits on drinking water on the one hand and by climate conditions, in particular rainfall, on the other hand. According to their size, water networks consist of hundreds or thousands of system elements. Moreover,... more...

  • The Implicit Function Theoremby Steven G. Krantz; Harold R. Parks

    Springer 2012; US$ 69.95

    The implicit function theorem is part of the bedrock of mathematical analysis and geometry. Finding its genesis in eighteenth century studies of real analytic functions and mechanics, the implicit and inverse function theorems have now blossomed into powerful tools in the theories of partial differential equations, differential geometry, and geometric... more...

  • Undergraduate Convexityby Niels Lauritzen

    World Scientific Publishing Company 2013; US$ 101.00

    Based on undergraduate teaching to students in computer science, economics and mathematics at Aarhus University, this is an elementary introduction to convex sets and convex functions with emphasis on concrete computations and examples.Starting from linear inequalities and Fourier–Motzkin elimination, the theory is developed by introducing polyhedra,... more...

  • Real Analysisby Boris Makarov; Anatolii Podkorytov

    Springer 2013; US$ 89.99

    Real Analysis: Measures, Integrals and Applications is devoted to the basics of integration theory and its related topics. The main emphasis is made on the properties of the Lebesgue integral and various applications both classical and those rarely covered in literature. This book provides a detailed introduction to Lebesgue measure and integration... more...

  • Metaheuristic Optimization for the Design of Automatic Control Lawsby Guillaume Sandou

    Wiley 2013; US$ 70.00

    The classic approach in Automatic Control relies on the use of simplified models of the systems and reformulations of the specifications. In this framework, the control law can be computed using deterministic algorithms. However, this approach fails when the system is too complex for its model to be sufficiently simplified, when the designer has many... more...

  • Structure of Approximate Solutions of Optimal Control Problemsby Alexander J. Zaslavski

    Springer 2013; US$ 54.99

    This title examines the structure of approximate solutions of optimal control problems considered on subintervals of a real line. Specifically at the properties of approximate solutions which are independent of the length of the interval. The results illustrated in this book look into the so-called turnpike property of optimal control problems.... more...