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  • Static Green's Functions in Anisotropic Media

    This book presents basic theory on static Green's functions in general anisotropic magnetoelectroelastic media including detailed derivations based on the complex variable method, potential method, and integral transforms. Green's functions corresponding to the reduced cases are also presented including those in anisotropic and transversely isotropic piezoelectric and piezomagnetic media, and in ... Leer más

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  • Measurement

    de Paul Lockhart ...
    Lockhart’s Mathematician’s Lament outlined how we introduce math to students in the wrong way. Measurement explains how math should be done. With plain English and pictures, he makes complex ideas about shape and motion intuitive and graspable, and offers a solution to math phobia by introducing us to math as an artful way of thinking and living. ... Leer más

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  • Calculus for the Ambitious

    de T. W. Körner ...
    From the author of The Pleasures of Counting and Naïve Decision Making comes a calculus book perfect for self-study. It will open up the ideas of the calculus for any 16- to 18-year-old, about to begin studies in mathematics, and will be useful for anyone who would like to see a different account of the calculus from that given in the standard texts. In a lively and easy-to-read style, Professor ... Leer más

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  • Euclid in the Rainforest

    Discovering Universal Truth in Logic and Math

    de Joseph Mazur ...
    Like Douglas Hofstadter’s Gödel, Escher, Bach, and David Berlinski’s A Tour of the Calculus, Euclid in the Rainforest combines the literary with the mathematical to explorelogic—the one indispensable tool in man’s quest to understand the world. Underpinning both math and science, it is the foundation of every major advancement in knowledge since the time of the ancient Greeks. Through adventure ... Leer más

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  • Set Theory

    With an Introduction to Real Point Sets

    What is a number? What is infinity? What is continuity? What is order? Answers to these fundamental questions obtained by late nineteenth-century mathematicians such as Dedekind and Cantor gave birth to set theory. This textbook presents classical set theory in an intuitive but concrete manner.To allow flexibility of topic selection in courses, the book is organized into four relatively ... Leer más

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  • From Calculus to Analysis

    Series series Mathematics and Statistics (R0)
    This comprehensive textbook is intended for a two-semester sequence in analysis. The first four chapters present a practical introduction to analysis by using the tools and concepts of calculus. The last five chapters present a first course in analysis. The presentation is clear and concise, allowing students to master the calculus tools that are crucial in understanding analysis.From Calculus to ... Leer más

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  • Application of Calculus – Related Rates.

    "Coffee is draining from a conical filter into a cylindrical coffeepot at the rate of 10 in3/min.a. How fast is the level in the pot rising when the coffee in the cone is 5 in. deep?b. How fast is the level in the cone falling then?" ... Leer más

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  • Geometric Control Theory and Sub-Riemannian Geometry

    Series series Mathematics and Statistics (R0)
    Honoring Andrei Agrachev's 60th birthday, this volume presents recent advances in the interaction between Geometric Control Theory and sub-Riemannian geometry. On the one hand, Geometric Control Theory used the differential geometric and Lie algebraic language for studying controllability, motion planning, stabilizability and optimality for control systems. The geometric approach turned out to be ... Leer más

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  • Real Analysis

    Foundations and Functions of One Variable

    Series series Mathematics and Statistics (R0)
    Based on courses given at Eötvös Loránd University (Hungary) over the past 30 years, this introductory textbook develops the central concepts of the analysis of functions of one variable — systematically, with many examples and illustrations, and in a manner that builds upon, and sharpens, the student’s mathematical intuition. The book provides a solid grounding in the basics of logic and proofs, ... Leer más

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  • A Course of Pure Mathematics

    de G. H. Hardy ...
    Series series Cambridge Mathematical Library
    There are few textbooks of mathematics as well-known as Hardy's Pure Mathematics. Since its publication in 1908, this classic book has inspired successive generations of budding mathematicians at the beginning of their undergraduate courses. In its pages, Hardy combines the enthusiasm of the missionary with the rigour of the purist in his exposition of the fundamental ideas of the differential and ... Leer más

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  • Singularity and Dynamics on Discontinuous Vector Fields

    Series Libro 3 - Monograph Series on Nonlinear Science and Complexity
    This book discussed fundamental problems in dynamics, which extensively exist in engineering, natural and social sciences. The book presented a basic theory for the interactions among many dynamical systems and for a system whose motions are constrained naturally or artificially. The methodology and techniques presented in this book are applicable to discontinuous dynamical systems in physics, ... Leer más

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  • Industrial Mathematics and Complex Systems

    Emerging Mathematical Models, Methods and Algorithms

    Series series Mathematics and Statistics (R0)
    The book discusses essential topics in industrial and applied mathematics such as image processing with a special focus on medical imaging, biometrics and tomography. Applications of mathematical concepts to areas like national security, homeland security and law enforcement, enterprise and e-government services, personal information and business transactions, and brain-like computers are also ... Leer más

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