Mathematics of Networks: Modulus Theory and Convex Optimization is a book that seeks to answer the question: What can be learned by adapting the theory of p-modulus (and related continuum analysis concepts) to discrete graphs?...Lasīt vairāk
Proposes an in-depth formal framework for generalized Tonnetze, takes an algebraic approach, studies systems of k-chords in n-TET scales derived from a given k-mode through mode permutations and chord root translations, by combining key ideas of the...Lasīt vairāk
Developed from a course on the history of mathematics, the book is aimed at school teachers of mathematics who need to learn more about mathematics than its history, and in a way they can communicate to middle and high school students. The author ho...Lasīt vairāk
(Izdošanas datums: 02-Apr-2025, Izdevniecība: Taylor & Francis Ltd, ISBN-13: 9781003470915)
A Mathematical Tour introduces readers to a selection of mathematical topics chosen for their centrality, importance, historical significance, and intrinsic appeal and beauty....Lasīt vairāk
This book provides, for the first time, a definitive source for the main theoretical notions underpinning this fascinating area of study. It also supplies several useful surveys of constructions using Coding Theory, Design Theory and Finite Geometry...Lasīt vairāk
This book aims to provide an introduction to select topics in discrete mathematics at a level appropriate for first or second year undergraduate math and computer science majors. This course serves both as a survey of the topics in discrete math and...Lasīt vairāk
This book aims to provide a complete and unitary presentation of naive set theory as the foundation of the whole mathematics. Suitable for undergraduate students, this book focuses on the main foundational issues....Lasīt vairāk
This book presents cutting-edge research, advanced techniques, and practical applications of Algebra Analysis and Topology. It offers in-depth insights, theoretical developments, and practical applications, showcasing the richness and interdisciplin...Lasīt vairāk
This book presents the mathematical theory of non-normal fuzzy sets such that it can be rigorously used as a basic tool to study engineering and economic problems under a fuzzy environment. It may also be used as a textbook at the graduate level, or...Lasīt vairāk
This book provides an introduction to orthogonal polynomials and special functions aimed at graduate students studying these topics for the first time. A large part of its content is essentially inspired by the works of Pascal Maroni on the so-calle...Lasīt vairāk
This text teaches students about the role of number theory in pure mathematics and its important applications to cryptography and other areas. Designed for a one-semester undergraduate course in number theory, the book offers many pedagogical featur...Lasīt vairāk
Connecting fundamental geometric ideas to advanced geometry, this text unifies Euclidean, elliptic, and hyperbolic geometry within an axiomatic framework. It covers topological shapes of geometric objects and includes more than 700 carefully crafted...Lasīt vairāk
Bringing the material up to date to reflect modern applications, this second edition has been completely rewritten and reorganized to incorporate a new style, methodology, and presentation. It offers a more complete and involved treatment of Galois...Lasīt vairāk
First realized in the 1980s by Lenstra, Lenstra, and Lovasz, the LLL algorithm was originally intended to factor polynomials with rational coefficients. It improved upon the existing lattice reduction algorithm in order to solve integer linear progr...Lasīt vairāk
This book presents a systematic treatment of Gröbner bases in several contexts. The book builds up to the theory of Gröbner bases for operads due to the second author and Khoroshkin as well as various applications of the corresponding diamond lemmas...Lasīt vairāk
Presenting the state of the art, the Handbook of Enumerative Combinatorics brings together the work of todays most prominent researchers. The first two chapters provide a comprehensive overview of the most frequently used methods in combinatorial en...Lasīt vairāk
Research on number theory has produced a wealth of interesting and beautiful results yet topics are strewn throughout the literature, the notation is far from being standardized, and a unifying approach to the different aspects is lacking. Covering...Lasīt vairāk
(Izdošanas datums: 14-Oct-2024, Izdevniecība: Taylor & Francis Ltd, ISBN-13: 9780429165153)
Through a careful treatment of number theory and geometry, this text helps readers understand serious mathematical ideas and proofs. It shows how number theory and geometry are essential components to understanding mathematics. Classroom-tested, the...Lasīt vairāk
(Izdošanas datums: 14-Oct-2024, Izdevniecība: Taylor & Francis Ltd, ISBN-13: 9780429067617)
This book presents several basic techniques in algebraic geometry, group representations, number theory, l-adic and standard cohomology, and modular forms. It explores how NX(p) varies with p when the family (X) of polynomial equations is fixed. The...Lasīt vairāk
Poised to become the leading reference in the field, this definitive handbook is exclusively devoted to the theory and applications of finite fields. Edited by two renowned researchers and with more than 80 international contributors compiling state...Lasīt vairāk