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Integrals

  • The Theory of the Denjoy Integral and Some Applicationsby V.G. Celidze; A.G. Dzvarseisvili; A.G. Davarseisvili; P.S. Bullen

    World Scientific Publishing Company 1989; US$ 122.00

    The Denjoy integral has not found many applications in analysis. Such applications as have been made are due mainly to authors of this book. The original papers are in difficult to obtain Soviet journals. This translation makes this important work available to wider audience and shows for the first time in English that the Denjoy integral has applications... more...

  • Iterated Integrals And Cycles On Algebraic Manifoldsby Bruno Harris

    World Scientific Publishing Company 2004; US$ 112.00

    This subject has been of great interest both to topologists and to number theorists. The first part of this book describes some of the work of Kuo-Tsai Chen on iterated integrals and the fundamental group of a manifold. The author attempts to make his exposition accessible to beginning graduate students. He then proceeds to apply Chen's constructions... more...

  • Lectures on the Theory of Integrationby Ralph Henstock

    World Scientific Publishing Company 1988; US$ 140.00

    This book is intended to be self-contained, giving the theory of absolute (equivalent to Lebesgue) and non-absolute (equivalent to Denjoy-Perron) integration by using a simple extension of the Riemann integral. A useful tool for mathematicians and scientists needing advanced integration theory would be a method combining the ideas of the calculus of... more...

  • The Integralby Steven G. Krantz

    Morgan & Claypool Publishers 2011; US$ 35.00

    This book treats all of the most commonly used theories of the integral. After motivating the idea of integral, we devote a full chapter to the Riemann integral and the next to the Lebesgue integral. Another chapter compares and contrasts the two theories. The concluding chapter offers brief introductions to the Henstock integral, the Daniell integral,... more...

  • Improper Riemann Integralsby Ioannis Markos Roussos

    CRC Press 2013; US$ 104.95

    Improper Riemann Integrals Definitions and Examples Cauchy Principal Value Some Criteria of Existence Real Analysis Techniques Calculus Techniques Integrals Dependent on Parameters Commuting Limits with Integrals and Derivatives Double Integral Technique Frullani Integrals The Real Gamma and Beta Functions A Brief Overview of Laplace... more...

  • Pocket Book of Integrals and Mathematical Formulas, Third Editionby Ronald J. Tallarida

    CRC Press 1999; US$ 26.95

    Elementary Algebra and Geometry Fundamental Properties (Real Numbers) Exponents Fractional Exponents Irrational Exponents Logarithms Factorials Binomial Theorem Factors and Expansion Progressions Complex Numbers Polar Form Permutations Combinations Algebraic Equations Geometry Determinants, Matrices, and Systems of Equations Determinants Evaluation... more...

  • Pocket Book of Integrals and Mathematical Formulas, 4th Editionby Ronald J. Tallarida

    CRC Press 2008; US$ 28.95

    Prefaces Elementary Algebra and Geometry Fundamental Properties (Real Numbers) Exponents Fractional Exponents Irrational Exponents Logarithms Factorials Binomial Theorem Factors and Expansion Progression Complex Numbers Polar Form Permutations Combinations Algebraic Equations Geometry Pythagorean... more...

  • Asymptotic Approximations of Integralsby R. Wong; Werner Rheinboldt; Daniel Siewiorek

    Elsevier Science 2014; US$ 93.95

    Asymptotic Approximations of Integrals deals with the methods used in the asymptotic approximation of integrals. Topics covered range from logarithmic singularities and the summability method to the distributional approach and the Mellin transform technique for multiple integrals. Uniform asymptotic expansions via a rational transformation are also... more...

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