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| Author | : |
| Publisher | : Elsevier |
| Total Pages | : 799 |
| Release | : 1998-11-30 |
| Genre | : Computers |
| ISBN | : 0080533701 |
Recursive Algebra, Analysis and Combinatorics
| Author | : Jurij L. Eršov |
| Publisher | : North-Holland |
| Total Pages | : 1372 |
| Release | : 1998 |
| Genre | : Mathematics |
| ISBN | : 9780444501066 |
| Author | : |
| Publisher | : |
| Total Pages | : 0 |
| Release | : 1998 |
| Genre | : Recursion theory |
| ISBN | : |
| Author | : R. L. Goodstein |
| Publisher | : Courier Corporation |
| Total Pages | : 213 |
| Release | : 2013-01-23 |
| Genre | : Mathematics |
| ISBN | : 0486158152 |
This text by a master in the field covers recursive convergence, recursive and relative continuity, recursive and relative differentiability, the relative integral, elementary functions, and transfinite ordinals. 1961 edition.
| Author | : |
| Publisher | : Elsevier |
| Total Pages | : 619 |
| Release | : 1998-11-30 |
| Genre | : Computers |
| ISBN | : 9780080533698 |
Recursive Model Theory
| Author | : Philippe Flajolet |
| Publisher | : Cambridge University Press |
| Total Pages | : 825 |
| Release | : 2009-01-15 |
| Genre | : Mathematics |
| ISBN | : 1139477161 |
Analytic combinatorics aims to enable precise quantitative predictions of the properties of large combinatorial structures. The theory has emerged over recent decades as essential both for the analysis of algorithms and for the study of scientific models in many disciplines, including probability theory, statistical physics, computational biology, and information theory. With a careful combination of symbolic enumeration methods and complex analysis, drawing heavily on generating functions, results of sweeping generality emerge that can be applied in particular to fundamental structures such as permutations, sequences, strings, walks, paths, trees, graphs and maps. This account is the definitive treatment of the topic. The authors give full coverage of the underlying mathematics and a thorough treatment of both classical and modern applications of the theory. The text is complemented with exercises, examples, appendices and notes to aid understanding. The book can be used for an advanced undergraduate or a graduate course, or for self-study.
| Author | : Edward A. Bender |
| Publisher | : Courier Corporation |
| Total Pages | : 789 |
| Release | : 2013-01-18 |
| Genre | : Mathematics |
| ISBN | : 0486151506 |
This introduction to combinatorics, the foundation of the interaction between computer science and mathematics, is suitable for upper-level undergraduates and graduate students in engineering, science, and mathematics. The four-part treatment begins with a section on counting and listing that covers basic counting, functions, decision trees, and sieving methods. The following section addresses fundamental concepts in graph theory and a sampler of graph topics. The third part examines a variety of applications relevant to computer science and mathematics, including induction and recursion, sorting theory, and rooted plane trees. The final section, on generating functions, offers students a powerful tool for studying counting problems. Numerous exercises appear throughout the text, along with notes and references. The text concludes with solutions to odd-numbered exercises and to all appendix exercises.
| Author | : John M. Harris |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 246 |
| Release | : 2000-07-19 |
| Genre | : Mathematics |
| ISBN | : 9780387987361 |
This book evolved from several courses in combinatorics and graph theory given at Appalachian State University and UCLA. Chapter 1 focuses on finite graph theory, including trees, planarity, coloring, matchings, and Ramsey theory. Chapter 2 studies combinatorics, including the principle of inclusion and exclusion, generating functions, recurrence relations, Pólya theory, the stable marriage problem, and several important classes of numbers. Chapter 3 presents infinite pigeonhole principles, König's lemma, and Ramsey's theorem, and discusses their connections to axiomatic set theory. The text is written in an enthusiastic and lively style. It includes results and problems that cross subdisciplines, emphasizing relationships between different areas of mathematics. In addition, recent results appear in the text, illustrating the fact that mathematics is a living discipline. The text is primarily directed toward upper-division undergraduate students, but lower-division undergraduates with a penchant for proof and graduate students seeking an introduction to these subjects will also find much of interest.
| Author | : Klaus Weihrauch |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 295 |
| Release | : 2012-12-06 |
| Genre | : Computers |
| ISBN | : 3642569994 |
Merging fundamental concepts of analysis and recursion theory to a new exciting theory, this book provides a solid fundament for studying various aspects of computability and complexity in analysis. It is the result of an introductory course given for several years and is written in a style suitable for graduate-level and senior students in computer science and mathematics. Many examples illustrate the new concepts while numerous exercises of varying difficulty extend the material and stimulate readers to work actively on the text.
| Author | : Martha A. Tucker |
| Publisher | : Bloomsbury Publishing USA |
| Total Pages | : 362 |
| Release | : 2004-09-30 |
| Genre | : Language Arts & Disciplines |
| ISBN | : 0313053375 |
This book is a reference for librarians, mathematicians, and statisticians involved in college and research level mathematics and statistics in the 21st century. We are in a time of transition in scholarly communications in mathematics, practices which have changed little for a hundred years are giving way to new modes of accessing information. Where journals, books, indexes and catalogs were once the physical representation of a good mathematics library, shelves have given way to computers, and users are often accessing information from remote places. Part I is a historical survey of the past 15 years tracking this huge transition in scholarly communications in mathematics. Part II of the book is the bibliography of resources recommended to support the disciplines of mathematics and statistics. These are grouped by type of material. Publication dates range from the 1800's onwards. Hundreds of electronic resources-some online, both dynamic and static, some in fixed media, are listed among the paper resources. Amazingly a majority of listed electronic resources are free.
