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A Computational Introduction to Number Theory and Algebra
An introductory graduate-level text emphasizing algorithms and applications. This second edition includes over 200 new exercises and examples.
Symplectic Geometry
Over the course of his distinguished career, Claude Viterbo has made a number of groundbreaking contributions in the development of symplectic geometry/topology and Hamiltonian dynamics. The chapters in this volume – compiled on the occasion of his 60th birthday – are written by distinguished mathematicians and pay tribute to his many significant and lasting achievements.
An Introduction to q-analysis
Starting from simple generalizations of factorials and binomial coefficients, this book gives a friendly and accessible introduction to q q-analysis, a subject consisting primarily of identities between certain kinds of series and products. Many applications of these identities to combinatorics and number theory are developed in detail. There are numerous exercises to help students appreciate the beauty and power of the ideas, and the history of the subject is kept consistently in view. The book has few prerequisites beyond calculus. It is well suited to a capstone course, or for self-study in combinatorics or classical analysis. Ph.D. students and research mathematicians will also find it useful as a reference.
Problema Momentov Markova i Ekstremalnye Zada?i
In this book, an extensive circle of questions originating in the classical work of P. L. Chebyshev and A. A. Markov is considered from the more modern point of view. It is shown how results and methods of the generalized moment problem are interlaced with various questions of the geometry of convex bodies, algebra, and function theory. From this standpoint, the structure of convex and conical hulls of curves is studied in detail and isoperimetric inequalities for convex hulls are established; a theory of orthogonal and quasiorthogonal polynomials is constructed; problems on limiting values of integrals and on least deviating functions (in various metrics) are generalized and solved; problems in approximation theory and interpolation and extrapolation in various function classes (analytic, absolutely monotone, almost periodic, etc.) are solved, as well as certain problems in optimal control of linear objects.
The Metaphysics of Practice
The Metaphysics of Practice brings together Wilfrid Sellars's writings on topics to do with action, community, and obligation: published essays, manuscripts, and correspondence. Sellars's practical philosophy was absolutely central to his overarching philosophical project of situating persons as practically rational, norm-governed animals within the world as described by an ideal science. The Editors' Introduction offers an overview of Sellars's metaethics, detailing its key features and explaining how these features are supposed to solve outstanding metaethical problems that not only faced Sellars's contemporaries, but continue to create lively debate among contemporary theorists. And the editors give chapter summaries indicating the main lines of argument and showing where each piece fits into Sellars's overall picture.
Advances in Cryptology – ASIACRYPT 2022
The four-volume proceedings LNCS 13791, 13792, 13793, and 13794 constitute the proceedings of the 28th International Conference on the Theory and Application of Cryptology and Information Security, ASIACRYPT 2022, held in Taipei, Taiwan, during December 5-9, 2022. The total of 98 full papers presented in these proceedings was carefully reviewed and selected from 364 submissions. The papers were organized in topical sections as follows: Part I: Award papers; functional and witness encryption; symmetric key cryptanalysis; multiparty computation; real world protocols; and blockchains and cryptocurrencies. Part II: Isogeny based cryptography; homomorphic encryption; NIZK and SNARKs; non interactive zero knowledge; and symmetric cryptography. Part III: Practical cryptography; advanced encryption; zero knowledge; quantum algorithms; lattice cryptoanalysis. Part IV: Signatures; commitments; theory; cryptoanalysis; and quantum cryptography.
