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  • Computations with Modular Forms

    Proceedings of a Summer School and Conference, Heidelberg, August/September 2011

    Edited by Gebhard Böckle, Gabor Wiese ...
    Series series Springer Nature Proceedings excluding Computer Science
    This volume contains original research articles, survey articles and lecture notes related to the Computations with Modular Forms 2011 Summer School and Conference, held at the University of Heidelberg. A key theme of the Conference and Summer School was the interplay between theory, algorithms and experiment.The 14 papers offer readers both, instructional courses on the latest algorithms for ... Read more

    $143.99 USD

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    Curves, Counting, and Number Theory

    A look at one of the most exciting unsolved problems in mathematics todayElliptic Tales describes the latest developments in number theory by looking at one of the most exciting unsolved problems in contemporary mathematics—the Birch and Swinnerton-Dyer Conjecture. In this book, Avner Ash and Robert Gross guide readers through the mathematics they need to understand this captivating problem.The ... Read more

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  • An Introduction to Mathematical Cryptography

    Series series Mathematics and Statistics (R0)
    This self-contained introduction to modern cryptography emphasizes the mathematics behind the theory of public key cryptosystems and digital signature schemes. The book focuses on these key topics while developing the mathematical tools needed for the construction and security analysis of diverse cryptosystems. Only basic linear algebra is required of the reader; techniques from algebra, number ... Read more

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  • Rational Points on Elliptic Curves

    Series series Mathematics and Statistics (R0)
    The theory of elliptic curves involves a pleasing blend of algebra, geometry, analysis, and number theory. This volume stresses this interplay as it develops the basic theory, thereby providing an opportunity for advanced undergraduates to appreciate the unity of modern mathematics. At the same time, every effort has been made to use only methods and results commonly included in the undergraduate ... Read more

    $49.49 USD

  • Future Vision and Trends on Shapes, Geometry and Algebra

    Series series Springer Nature Proceedings excluding Computer Science
    Mathematical algorithms are a fundamental component of Computer Aided Design and Manufacturing (CAD/CAM) systems. This book provides a bridge between algebraic geometry and geometric modelling algorithms, formulated within a computer science framework.Apart from the algebraic geometry topics covered, the entire book is based on the unifying concept of using algebraic techniques – properly ... Read more

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  • Classical Mechanics with Maxima

    Series series Physics and Astronomy (R0)
    This book guides undergraduate students in the use of Maxima—a computer algebra system—in solving problems in classical mechanics. It functions well as a supplement to a typical classical mechanics textbook.When it comes to problems that are too difficult to solve by hand, computer algebra systems that can perform symbolic mathematical manipulations are a valuable tool. Maxima is particularly ... Read more

    $58.49 USD

  • Coding Theory and Applications

    4th International Castle Meeting, Palmela Castle, Portugal, September 15-18, 2014

    Series series Springer Nature Proceedings excluding Computer Science
    The topics covered in this book, written by researchers at the forefront of their field, represent some of the most relevant research areas in modern coding theory: codes and combinatorial structures, algebraic geometric codes, group codes, quantum codes, convolutional codes, network coding and cryptography.The book includes a survey paper on the interconnections of coding theory with constrained ... Read more

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  • Finitely Generated Abelian Groups and Similarity of Matrices over a Field

    Series series Mathematics and Statistics (R0)
    At first sight, finitely generated abelian groups and canonical forms of matrices appear to have little in common. However, reduction to Smith normal form, named after its originator H.J.S.Smith in 1861, is a matrix version of the Euclidean algorithm and is exactly what the theory requires in both cases. Starting with matrices over the integers, Part 1 of this book provides a measured introduction ... Read more

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  • Hyperplane Arrangements

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    Series series Mathematics and Statistics (R0)
    This textbook provides an accessible introduction to the rich and beautiful area of hyperplane arrangement theory, where discrete mathematics, in the form of combinatorics and arithmetic, meets continuous mathematics, in the form of the topology and Hodge theory of complex algebraic varieties.The topics discussed in this book range from elementary combinatorics and discrete geometry to more ... Read more

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  • Introduction to Cryptography with Maple

    Series series Computer Science (R0)
    This introduction to cryptography employs a programming-oriented approach to study the most important cryptographic schemes in current use and the main cryptanalytic attacks against them. Discussion of the theoretical aspects, emphasizing precise security definitions based on methodological tools such as complexity and randomness, and of the mathematical aspects, with emphasis on number-theoretic ... Read more

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  • Numerical Semigroups and Applications

    Series series Mathematics and Statistics (R0)
    This work presents applications of numerical semigroups in Algebraic Geometry, Number Theory, and Coding Theory. Background on numerical semigroups is presented in the first two chapters, which introduce basic notation and fundamental concepts and irreducible numerical semigroups. The focus is in particular on free semigroups, which are irreducible; semigroups associated with planar curves are of ... Read more

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  • Analytic Number Theory

    In Honor of Helmut Maier’s 60th Birthday

    Series series Mathematics and Statistics (R0)
    This volume contains a collection of research and survey papers written by some of the most eminent mathematicians in the international community and is dedicated to Helmut Maier, whose own research has been groundbreaking and deeply influential to the field. Specific emphasis is given to topics regarding exponential and trigonometric sums and their behavior in short intervals, anatomy of integers ... Read more

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