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  • Inquiry-Based Enumerative Combinatorics

    One, Two, Skip a Few... Ninety-Nine, One Hundred

    Series series Mathematics and Statistics (R0)
    This textbook offers the opportunity to create a uniquely engaging combinatorics classroom by embracing Inquiry-Based Learning (IBL) techniques. Readers are provided with a carefully chosen progression of theorems to prove and problems to actively solve. Students will feel a sense of accomplishment as their collective inquiry traces a path from the basics to important generating function ... Read more

    $58.49 USD

  • Eulerian Numbers

    Series series Mathematics and Statistics (R0)
    This text presents the Eulerian numbers in the context of modern enumerative, algebraic, and geometric combinatorics. The book first studies Eulerian numbers from a purely combinatorial point of view, then embarks on a tour of how these numbers arise in the study of hyperplane arrangements, polytopes, and simplicial complexes. Some topics include a thorough discussion of gamma-nonnegativity and ... Read more

    $49.49 USD

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    From Groups and Tiles to Frames and Vaccines

    Series series Mathematics and Statistics (R0)
    This highly readable book aims to ease the many challenges of starting undergraduate research. It accomplishes this by presenting a diverse series of self-contained, accessible articles which include specific open problems and prepare the reader to tackle them with ample background material and references. Each article also contains a carefully selected bibliography for further reading.The content ... Read more

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  • Multiple Dirichlet Series, L-functions and Automorphic Forms

    Series series Mathematics and Statistics (R0)
    Multiple Dirichlet Series, L-functions and Automorphic Forms gives the latest advances in the rapidly developing subject of Multiple Dirichlet Series, an area with origins in the theory of automorphic forms that exhibits surprising and deep connections to crystal graphs and mathematical physics. As such, it represents a new way in which areas including number theory, combinatorics, statistical ... Read more

    $89.09 USD

  • Galois Theory, Coverings, and Riemann Surfaces

    The first part of this book provides an elementary and self-contained exposition of classical Galois theory and its applications to questions of solvability of algebraic equations in explicit form. The second part describes a surprising analogy between the fundamental theorem of Galois theory and the classification of coverings over a topological space. The third part contains a geometric ... Read more

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  • Symmetry: Representation Theory and Its Applications

    In Honor of Nolan R. Wallach

    Series series Mathematics and Statistics (R0)
    Nolan Wallach's mathematical research is remarkable in both its breadth and depth. His contributions to many fields include representation theory, harmonic analysis, algebraic geometry, combinatorics, number theory, differential equations, Riemannian geometry, ring theory, and quantum information theory. The touchstone and unifying thread running through all his work is the idea of symmetry. This ... Read more

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  • Topological Galois Theory

    Solvability and Unsolvability of Equations in Finite Terms

    Series series Mathematics and Statistics (R0)
    This book provides a detailed and largely self-contained description of various classical and new results on solvability and unsolvability of equations in explicit form. In particular, it offers a complete exposition of the relatively new area of topological Galois theory, initiated by the author. Applications of Galois theory to solvability of algebraic equations by radicals, basics of Picard ... Read more

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  • Finiteness Properties of Arithmetic Groups Acting on Twin Buildings

    by Stefan Witzel ...
    Series series Mathematics and Statistics (R0)
    Providing an accessible approach to a special case of the Rank Theorem, the present text considers the exact finiteness properties of S-arithmetic subgroups of split reductive groups in positive characteristic when S contains only two places. While the proof of the general Rank Theorem uses an involved reduction theory due to Harder, by imposing the restrictions that the group is split and that S ... Read more

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  • Iwasawa Theory 2012

    State of the Art and Recent Advances

    Series series Springer Nature Proceedings excluding Computer Science
    This is the fifth conference in a bi-annual series, following conferences in Besancon, Limoges, Irsee and Toronto. The meeting aims to bring together different strands of research in and closely related to the area of Iwasawa theory. During the week before the conference in a kind of summer school a series of preparatory lectures for young mathematicians was provided as an introduction to Iwasawa ... Read more

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  • Concise Computer Mathematics

    Tutorials on Theory and Problems

    Series series Computer Science (R0)
    Adapted from a modular undergraduate course on computational mathematics, Concise Computer Mathematics delivers an easily accessible, self-contained introduction to the basic notions of mathematics necessary for a computer science degree. The text reflects the need to quickly introduce students from a variety of educational backgrounds to a number of essential mathematical concepts. The material ... Read more

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  • Algebra 2

    Linear Algebra, Galois Theory, Representation theory, Group extensions and Schur Multiplier

    by Ramji Lal ...
    Series series Mathematics and Statistics (R0)
    This is the second in a series of three volumes dealing with important topics in algebra. Volume 2 is an introduction to linear algebra (including linear algebra over rings), Galois theory, representation theory, and the theory of group extensions. The section on linear algebra (chapters 1–5) does not require any background material from Algebra 1, except an understanding of set theory. Linear ... Read more

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  • Combinatorial Algebra: Syntax and Semantics

    Series series Mathematics and Statistics (R0)
    Combinatorial Algebra: Syntax and Semantics provides comprehensive account of many areas of combinatorial algebra. It contains self-contained proofs of more than 20 fundamental results, both classical and modern. This includes Golod–Shafarevich and Olshanskii's solutions of Burnside problems, Shirshov's solution of Kurosh's problem for PI rings, Belov's solution of Specht's problem for varieties ... Read more

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