Download or read book Riordan Arrays A Primer written by Paul Barry and published by Lulu.com. This book was released on 2017-01-09 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this text is to introduce the beginner to the theory of Riordan arrays. Starting in a simple and constructive manner, the basic structure of these arrays is explained with clear examples, before a more theoretical grounding is provided. Ordinary Riordan arrays and exponential Riordan arrays are examined, with many explicit examples, and their applications to combinatorics and other areas are explored. The production matrix of a Riordan array is shown to play a key role, along with various sequence characterizations. Formal prerequisites are kept to a minimum, in order to provide a gentle introduction to this exciting area, that involves linear algebra, group theory and combinatorics. The reader will be well positioned to further explore Riordan arrays and their applications, and to undertake their own projects. They will join a community of interested mathematicians that now spans all continents, in a growing area of research and application.

Download or read book The Riordan Group and Applications written by Louis Shapiro and published by Springer Nature. This book was released on 2022-04-28 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: The ever-growing applications and richness of approaches to the Riordan group is captured in this comprehensive monograph, authored by those who are among the founders and foremost world experts in this field. The concept of a Riordan array has played a unifying role in enumerative combinatorics over the last three decades. The Riordan arrays and Riordan group is a new growth point in mathematics that is both being influenced by, and continuing its contributions to, other fields such as Lie groups, elliptic curves, orthogonal polynomials, spline functions, networks, sequences and series, Beal conjecture, Riemann hypothesis, to name several. In recent years the Riordan group has made links to quantum field theory and has become a useful tool for computer science and computational chemistry. We can look forward to discovering further applications to unexpected areas of research. Providing a baseline and springboard to further developments and study, this book may also serve as a text for anyone interested in discrete mathematics, including combinatorics, number theory, matrix theory, graph theory, and algebra.

Download or read book Combinatorics Graph Theory and Computing written by Frederick Hoffman and published by Springer Nature. This book was released on 2022-09-13 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings volume gathers selected, revised papers presented at the 51st Southeastern International Conference on Combinatorics, Graph Theory and Computing (SEICCGTC 2020), held at Florida Atlantic University in Boca Raton, USA, on March 9-13, 2020. The SEICCGTC is broadly considered to be a trendsetter for other conferences around the world – many of the ideas and themes first discussed at it have subsequently been explored at other conferences and symposia. The conference has been held annually since 1970, in Baton Rouge, Louisiana and Boca Raton, Florida. Over the years, it has grown to become the major annual conference in its fields, and plays a major role in disseminating results and in fostering collaborative work. This volume is intended for the community of pure and applied mathematicians, in academia, industry and government, working in combinatorics and graph theory, as well as related areas of computer science and the interactions among these fields.

Download or read book Methods for the Summation of Series written by Tian-Xiao He and published by CRC Press. This book was released on 2022-01-26 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents methods for the summation of infinite and finite series and the related identities and inversion relations. The summation includes the column sums and row sums of lower triangular matrices. The convergence of the summation of infinite series is considered. The author’s focus is on symbolic methods and the Riordan array approach. In addition, this book contains hundreds summation formulas and identities, which can be used as a handbook for people working in computer science, applied mathematics, and computational mathematics, particularly, combinatorics, computational discrete mathematics, and computational number theory. The exercises at the end of each chapter help deepen understanding. Much of the materials in this book has never appeared before in textbook form. This book can be used as a suitable textbook for advanced courses for high lever undergraduate and lower lever graduate students. It is also an introductory self-study book for re- searchers interested in this field, while some materials of the book can be used as a portal for further research.

Download or read book Combinatorics and Number Theory of Counting Sequences written by Istvan Mezo and published by CRC Press. This book was released on 2019-08-19 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 elementary enumerative proofs. Therefore, parts of the book are designed so that even those high school students and teachers who are interested in combinatorics can have the benefit of them. Still, the book collects vast, up-to-date information for many counting sequences (especially, related to set partitions and permutations), so it is a must-have piece for those mathematicians who do research on enumerative combinatorics. In addition, the book contains number theoretical results on counting sequences of set partitions and permutations, so number theorists who would like to see nice applications of their area of interest in combinatorics will enjoy the book, too. Features The Outlook sections at the end of each chapter guide the reader towards topics not covered in the book, and many of the Outlook items point towards new research problems. An extensive bibliography and tables at the end make the book usable as a standard reference. Citations to results which were scattered in the literature now become easy, because huge parts of the book (especially in parts II and III) appear in book form for the first time.

Download or read book Lattice Paths and Branched Continued Fractions An Infinite Sequence of Generalizations of the Stieltjes Rogers and Thron Rogers Polynomials with Coefficientwise Hankel Total Positivity written by Mathias Pétréolle and published by American Mathematical Society. This book was released on 2024-01-19 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

Download or read book Primer on Multiple Sclerosis written by Barbara S. Giesser and published by Oxford University Press. This book was released on 2016-01-29 with total page 613 pages. Available in PDF, EPUB and Kindle. Book excerpt: Primer on Multiple Sclerosis, 2nd Edition is an updated reference manual for the practicing clinician. It covers the range of information needed to treat persons with MS, beginning with basic science and immunopathology, thorough differential diagnosis, symptom management and disease modifying therapies. This essential book also includes material covering new and experimental strategies as well as a review of commonly used complementary and alternative modalities that are used by persons with MS.Multiple Sclerosis (MS) is the most common demyelinating disease of the CNS and the third most common cause of disability among young adults. The complex management issues that are often present in the care of individuals with MS may demand the participation of health care professionals from a variety of disciplines, although the team is usually led by a neurologist. It is therefore essential for the neurologist to have a thorough grounding in the basic science and clinical phenomenology of MS. In this second edition of Primer on Multiple Sclerosis, the latest updates on therapeutics are provided, including new medications that have been FDA- approved since the first edition. Includes new diagnostic criteria, as well as any advances made in current diagnostic techniques, e.g. new imaging metrics. Important new information in the basic sciences and pathophysiology of MS is provided as well as newer epidemiologic studies. Treatment algorithms for common symptoms will be expanded, as well as any new guidelines for switching medications for Disease Modifying treatment "failures". The chapter on alternative and complimentary therapies discusses new research on CCSVI. The chapter on legal issues includes information on the putative effect of the Affordable Health Care Act on access to neurologic care and treatments. Finally, there is expanded discussion of progressive forms of MS both from a basic science and treatment perspective.

Download or read book Polynomial Sequences written by Francesco Aldo Costabile and published by Walter de Gruyter GmbH & Co KG. This book was released on 2023-12-18 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt: Polynomials are useful mathematical tools. They are simply defined and can be calculated quickly on computer systems. They can be differentiated and integrated easily and can be pieced together to form spline curves. After Weierstrass approximation Theorem, polynomial sequences have acquired considerable importance not only in the various branches of Mathematics, but also in Physics, Chemistry and Engineering disciplines. There is a wide literature on specific polynomial sequences. But there is no literature that attempts a systematic exposition of the main basic methods for the study of a generic polynomial sequence and, at the same time, gives an overview of the main polynomial classes and related applications, at least in numerical analysis. In this book, through an elementary matrix calculus-based approach, an attempt is made to fill this gap by exposing dated and very recent results, both theoretical and applied.

Download or read book Primer on Multiple Sclerosis written by Barbara S. Giesser, MD and published by Oxford University Press. This book was released on 2010-12-01 with total page 501 pages. Available in PDF, EPUB and Kindle. Book excerpt: Primer on Multiple Sclerosis was developed to provide a comprehensive overview of the clinical and basic science aspects of MS. It is designed to be of practical use to clinical neurologists, and addresses all of the major issues that may occur in the management of persons with MS. The reader is provided with the latest information on the science of MS, including immunology, genetics, epidemiology and pathology, as well as a summary of the newest directions in basic science research. Guidelines for diagnosis and appropriate use of diagnostic modalities are presented. All clinical aspects of MS are discussed, including extensive information on aspects that may be more challenging for the neurologist to manage, such as sleep disorders and pain. Disease modifying therapies, including those that are FDA approved, as well as off label and experimental therapies are discussed. Finally, there are chapters on employment and legal issues, as well as an overview of clinical trials and clinical trial outcome measures, which are helpful in reviewing the scientific literature in these areas.

Download or read book Inside the C Object Model written by Stanley B. Lippman and published by Addison-Wesley Professional. This book was released on 1996 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: There is a lot of misinformation and myth about the overhead and costs associated with C++. Now Stan Lippman, the acclaimed author of the C++ Primer, answers the call for a book that gives strategy guidelines for C++ programming. Inside the C++ Object Model explains where overhead costs reside and what they actually consist of. The author explains which parts vary by implementation and which are invariant. He tells how the various implementation models arose, points out areas where they are likely to evolve, and explains why they are what they are. This book is a must for C++ programmers who want to understand the semantic implications of the C++ object model and how the model affects their programs.

Download or read book Energy Primer Solar Water Wind and Biofuels written by Richard Merrill and published by . This book was released on 1978 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Programming for Computations MATLAB Octave written by Svein Linge and published by Springer. This book was released on 2016-08-01 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents computer programming as a key method for solving mathematical problems. There are two versions of the book, one for MATLAB and one for Python. The book was inspired by the Springer book TCSE 6: A Primer on Scientific Programming with Python (by Langtangen), but the style is more accessible and concise, in keeping with the needs of engineering students. The book outlines the shortest possible path from no previous experience with programming to a set of skills that allows the students to write simple programs for solving common mathematical problems with numerical methods in engineering and science courses. The emphasis is on generic algorithms, clean design of programs, use of functions, and automatic tests for verification.

Download or read book Molecular Diagnostics written by George P. Patrinos and published by Academic Press. This book was released on 2009-08-21 with total page 617 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 2e of Molecular Diagnostics, the only book dealing with diagnosis on a molecular level, discusses current molecular biological techniques used to identify the underlying molecular defects in inherited disease. The book delves further into the principle and brief description of the technique, followed by examples from the authors' own expertise. Contributors to the 2e are well-known experts in their field, and derive from a variety of disciplines, to ensure breadth and depth of coverage. Molecular Diagnostics, 2e , is a needed resource for graduate students, researchers, physicians and practicing scientists in molecular genetics and professionals from similar backgrounds working in diagnostic laboratories in academia or industry, as well as academic institutions and hospital libraries. Deals exclusively with the currently used molecular biology techniques to identify the underlying molecular defect of inherited diseases Includes pharmacogenetics and pharmacogenomics relating to new cancer therapies Provies a comprehensive guide through emerging concepts and demonstrates how the available mutation screening technology can be implemented in diagnostic laboratories and provide better healthcare

Download or read book Pioneering Women in American Mathematics written by Judy Green and published by American Mathematical Soc.. This book was released on 2009 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book is the result of a study in which the authors identified all of the American women who earned PhD's in mathematics before 1940, and collected extensive biographical and bibliographical information about each of them. By reconstructing as complete a picture as possible of this group of women, Green and LaDuke reveal insights into the larger scientific and cultural communities in which they lived and worked." "The book contains an extended introductory essay, as well as biographical entries for each of the 228 women in the study. The authors examine family backgrounds, education, careers, and other professional activities. They show that there were many more women earning PhD's in mathematics before 1940 than is commonly thought." "The material will be of interest to researchers, teachers, and students in mathematics, history of mathematics, history of science, women's studies, and sociology."--BOOK JACKET.

Download or read book Programming for Computations Python written by Svein Linge and published by Springer. This book was released on 2016-07-25 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents computer programming as a key method for solving mathematical problems. There are two versions of the book, one for MATLAB and one for Python. The book was inspired by the Springer book TCSE 6: A Primer on Scientific Programming with Python (by Langtangen), but the style is more accessible and concise, in keeping with the needs of engineering students. The book outlines the shortest possible path from no previous experience with programming to a set of skills that allows the students to write simple programs for solving common mathematical problems with numerical methods in engineering and science courses. The emphasis is on generic algorithms, clean design of programs, use of functions, and automatic tests for verification.

Download or read book Plant OMICS and Crop Breeding written by Sajad Majeed Zargar and published by CRC Press. This book was released on 2017-05-08 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: Due to the advent of state-of-the-art technologies in the field of biotechnology, much progress has been achieved since the last decade. OMICS technologies are being extensively used to address various issues pertaining to agriculture. Recent advances in genomics, transcriptomics, proteomics, and metabolomics techniques have revolutionized the understanding of genetic response of plants to various biotic and abiotic stresses. Strategic application of this revolutionary technology will eventually lead towards attaining sustainability in agriculture. This new book, Plant OMICS and Crop Breeding, addresses this important issue.

Download or read book Numerical Linear Algebra and Matrix Factorizations written by Tom Lyche and published by Springer Nature. This book was released on 2020-03-02 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: After reading this book, students should be able to analyze computational problems in linear algebra such as linear systems, least squares- and eigenvalue problems, and to develop their own algorithms for solving them. Since these problems can be large and difficult to handle, much can be gained by understanding and taking advantage of special structures. This in turn requires a good grasp of basic numerical linear algebra and matrix factorizations. Factoring a matrix into a product of simpler matrices is a crucial tool in numerical linear algebra, because it allows us to tackle complex problems by solving a sequence of easier ones. The main characteristics of this book are as follows: It is self-contained, only assuming that readers have completed first-year calculus and an introductory course on linear algebra, and that they have some experience with solving mathematical problems on a computer. The book provides detailed proofs of virtually all results. Further, its respective parts can be used independently, making it suitable for self-study. The book consists of 15 chapters, divided into five thematically oriented parts. The chapters are designed for a one-week-per-chapter, one-semester course. To facilitate self-study, an introductory chapter includes a brief review of linear algebra.