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, especially those who intend to teach middle and high school mathematic...Lasīt vairāk
Discrete Mathematics: An Open Introduction, Fourth Edition 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, espec...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 combin...Lasīt vairāk
Poised to become the leading reference in the field, the Handbook of Finite Fields is exclusively devoted to the theory and applications of finite fields. More than 80 international contributors compile state-of-the-art research i...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 Galoi...Lasīt vairāk
Combinatorics and Number Theory of Counting Sequences is an introduction to the theory of finite set partitions and to the enumeration of cycle decompositions of permutations.The presentation prioritizes el...Lasīt vairāk
This textbook thoroughly outlines combinatorial algorithms for generation, enumeration, and search. Topics include backtracking and heuristic search methods applied to various combinatorial structures, such as:CombinationsPermuta...Lasīt vairāk
The first thing you will find out about this book is that it is fun to read. It is meant for the browser, as well as for the student and for the specialist wanting to know about the area. The footnotes give an historical background to the text, in ad...Lasīt vairāk
Combinatorialists are seldom aware of number theoretical tools, and number theorists rarely aware of the possible combinatorial applications. This book is accessible for both of the groups. The first part introduces several important counting sequenc...Lasīt vairāk
By covering a wide range of algebraic, analytic, combinatorial, cryptographic, and geometric aspects of number theory, this text provides the most up-to-date and comprehensive material for a second course in this field. With numerous examples and...Lasīt vairāk
The handbook begins with chapters on methods of enumerating various objects, then shifts to chapters that focus on specific kinds of objects that need to be counted by any method available, and begins moving into more and more specialized objects. Th...Lasīt vairāk
Poised to become the leading reference in the field, the Handbook of Finite Fields is exclusively devoted to the theory and applications of finite fields. More than 80 international contributors compile state-of-the-art research in this definitive h...Lasīt vairāk
Preface This book is a result of my teaching a Masters-level course with the same name for five years in the Indian Institute of Technology Kharagpur. The course was attended mostly by MTech and final-year BTech students from the department of Compu...Lasīt vairāk
The second edition of this popular book features coverage of L-functions and function fields to provide a more modern view of the field. This edition also introduces class groups for both binary and quadratic forms, making it much easier to prove th...Lasīt vairāk
Written by Mollin (U. of Calgary, Canada), this book is intended to serve a text for a second one-semester course in number theory (following a course in elementary methods) at the senior undergraduate and early graduate levels. Ten chapters cover al...Lasīt vairāk
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Assuming only a modest background in elementary number theory, groups, and fields, Washington (mathematics, University of Maryland) introduces both the cryptographic and number theoretic sides of elliptic curves. He introduces elliptic curves over fi...Lasīt vairāk
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An undergraduate introductory course text, intended for readers with little or no background in number theory (the math is presented as needed). The text also contains enough advanced, optional material to challenge the more informed student. Mollin...Lasīt vairāk
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Provides a global approach to the subject, leading readers through algebraic numbers, the arithmetic of field numbers, ideal theory, ideal decomposition in extension fields, and reciprocity laws. Each chapter includes a section on a cryptographic app...Lasīt vairāk
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A textbook for an undergraduate course at lower-level without and at upper-level with optional sections on applications. Assumes no background in computer science and no mathematics past solid high-school level. Combines elementary number theory with...Lasīt vairāk
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Covering the basic topics of a solid first course in mathematical logic, this book includes an appendix on second-order logic, a section on set theory with urlements, and a section on the logic that results when we allow models with empty domains. I...Lasīt vairāk
