# Search Results for "umbral-calculus-pure-applied-mathematics"

## The Umbral Calculus

**Author**: Steven Roman**Publisher:**Courier Corporation**ISBN:**0486153428**Category:**Mathematics**Page:**208**View:**6699

This introductory text explores Sheffer sequences and operators and their adjoints, the connection constants problem and duplication formulas, the Lagrange inversion formula, operational formulas, inverse relations, and binomial convolution. 1984 edition.

## A Comprehensive Treatment of q-Calculus

**Author**: Thomas Ernst**Publisher:**Springer Science & Business Media**ISBN:**3034804318**Category:**Mathematics**Page:**492**View:**8622

To date, the theoretical development of q-calculus has rested on a non-uniform basis. Generally, the bulky Gasper-Rahman notation was used, but the published works on q-calculus looked different depending on where and by whom they were written. This confusion of tongues not only complicated the theoretical development but also contributed to q-calculus remaining a neglected mathematical field. This book overcomes these problems by introducing a new and interesting notation for q-calculus based on logarithms.For instance, q-hypergeometric functions are now visually clear and easy to trace back to their hypergeometric parents. With this new notation it is also easy to see the connection between q-hypergeometric functions and the q-gamma function, something that until now has been overlooked. The book covers many topics on q-calculus, including special functions, combinatorics, and q-difference equations. Apart from a thorough review of the historical development of q-calculus, this book also presents the domains of modern physics for which q-calculus is applicable, such as particle physics and supersymmetry, to name just a few.

## Local Cohomology and Its Applications

**Author**: Gennady Lybeznik**Publisher:**CRC Press**ISBN:**1482275767**Category:**Mathematics**Page:**358**View:**2591

This volume collects presentations from the international workshop on local cohomology held in Guanajuato, Mexico, including expanded lecture notes of two minicourses on applications in equivariant topology and foundations of duality theory, and chapters on finiteness properties, D-modules, monomial ideals, combinatorial analysis, and related topics. Featuring selected papers from renowned experts around the world, Local Cohomology and Its Applications is a provocative reference for algebraists, topologists, and upper-level undergraduate and graduate students in these disciplines.

## Pure and Applied Mathematics

**Author**: Steven Roman**Publisher:**N.A**ISBN:**9780125943802**Category:**Calculus**Page:**193**View:**2024

## Pure and Applied Mathematics

**Author**: Steven Roman**Publisher:**N.A**ISBN:**9780125943802**Category:**Calculus**Page:**193**View:**4563

## Finite operator calculus

**Author**: Gian-Carlo Rota,P. Doubilet**Publisher:**N.A**ISBN:**N.A**Category:**Mathematics**Page:**159**View:**9771

## Mathematical Analysis, Approximation Theory and Their Applications

**Author**: Themistocles Rassias,Vijay Gupta**Publisher:**Springer**ISBN:**3319312812**Category:**Mathematics**Page:**741**View:**4901

Designed for graduate students, researchers, and engineers in mathematics, optimization, and economics, this self-contained volume presents theory, methods, and applications in mathematical analysis and approximation theory. Specific topics include: approximation of functions by linear positive operators with applications to computer aided geometric design, numerical analysis, optimization theory, and solutions of differential equations. Recent and significant developments in approximation theory, special functions and q-calculus along with their applications to mathematics, engineering, and social sciences are discussed and analyzed. Each chapter enriches the understanding of current research problems and theories in pure and applied research.

## Win32 API programming with Visual Basic

**Author**: Steven Roman**Publisher:**O'Reilly Media**ISBN:**9781565926318**Category:**Computers**Page:**511**View:**1101

Furnishes complete documentation for Visual Basic programmers seeking to access the Win32 API within Visual Basic and explains to create powerful applications without requiring a background in Visual C++ or Win32 API programming. Original. (Advanced)

## Combinatorics: The Rota Way

**Author**: Joseph P. S. Kung,Gian-Carlo Rota,Catherine H. Yan**Publisher:**Cambridge University Press**ISBN:**052188389X**Category:**Mathematics**Page:**396**View:**1259

Compiled and edited by two of Gian-Carlo Rota's students, this book is based on notes from his influential combinatorics courses.

## 101 Careers in Mathematics, 3rd Edition

**Author**: Andrew Sterrett**Publisher:**The Mathematical Association of America**ISBN:**0883857863**Category:**Business & Economics**Page:**334**View:**5402

This third edition of the immensely popular 101 Careers in Mathematics contains updates on the career paths of individuals profiled in the first and second editions, along with many new profiles. No career counselor should be without this valuable resource. The authors of the essays in this volume describe a wide variety of careers for which a background in the mathematical sciences is useful. Each of the jobs presented shows real people in real jobs. Their individual histories demonstrate how the study of mathematics was useful in landing well-paying jobs in predictable places such as IBM, AT&T, and American Airlines, and in surprising places such as FedEx Corporation, L.L. Bean, and Perdue Farms, Inc. You will also learn about job opportunities in the Federal Government as well as exciting careers in the arts, sculpture, music, and television. There are really no limits to what you can do if you are well prepared in mathematics. The degrees earned by the authors profiled here range from bachelor’s to master’s to PhD in approximately equal numbers. Most of the writers use the mathematical sciences on a daily basis in their work. Others rely on the general problem-solving skills acquired in mathematics as they deal with complex issues.

## Exponentials and Logarithms

**Author**: Raffaele Monaco,Joe Raiola**Publisher:**Raffaele Monaco**ISBN:**882288194X**Category:**Mathematics**Page:**N.A**View:**3527

The use of exponentials and logarithms is so vast in mathematics and science that we often find them in many different situations, in simple language and targeted examples in this book they are introduced with all their properties and graphs. There are also numerous examples performed and explained step by step including exponential and logarithmic equations and inequalities. At the end of each chapter are proposed numerous exercises divided by types. The last chapter is dedicated to a small digression about how in the past it was possible to calculate a logarithm without the use of the calculator.

## P-Adic Functional Analysis

**Author**: A.K. Katsaras,W.H. Schikhof,L. Van Hamme**Publisher:**CRC Press**ISBN:**9780203908143**Category:**Mathematics**Page:**336**View:**6867

This volume collects together lectures presented at the Sixth International Conference held at the University of Ioannina, Greece, on p-adic functional analysis with applications in the fields of physics, differential equations, number theory, probability theory, dynamical systems, and algebraic number fields. It discusses the commutation relation AB-BA=I and its central role in quantum mechanics.

## Algebraic Combinatorics and Computer Science

*A Tribute to Gian-Carlo Rota*

**Author**: H. Crapo,D. Senato**Publisher:**Springer Science & Business Media**ISBN:**8847021073**Category:**Mathematics**Page:**546**View:**8435

This book, dedicated to the memory of Gian-Carlo Rota, is the result of a collaborative effort by his friends, students and admirers. Rota was one of the great thinkers of our times, innovator in both mathematics and phenomenology. I feel moved, yet touched by a sense of sadness, in presenting this volume of work, despite the fear that I may be unworthy of the task that befalls me. Rota, both the scientist and the man, was marked by a generosity that knew no bounds. His ideas opened wide the horizons of fields of research, permitting an astonishing number of students from all over the globe to become enthusiastically involved. The contagious energy with which he demonstrated his tremendous mental capacity always proved fresh and inspiring. Beyond his renown as gifted scientist, what was particularly striking in Gian-Carlo Rota was his ability to appreciate the diverse intellectual capacities of those before him and to adapt his communications accordingly. This human sense, complemented by his acute appreciation of the importance of the individual, acted as a catalyst in bringing forth the very best in each one of his students. Whosoever was fortunate enough to enjoy Gian-Carlo Rota's longstanding friendship was most enriched by the experience, both mathematically and philosophically, and had occasion to appreciate son cote de bon vivant. The book opens with a heartfelt piece by Henry Crapo in which he meticulously pieces together what Gian-Carlo Rota's untimely demise has bequeathed to science.

## Applied Analysis in Biological and Physical Sciences

*ICMBAA, Aligarh, India, June 2015*

**Author**: Jim M. Cushing,M. Saleem,H. M. Srivastava,Mumtaz Ahmad Khan,M. Merajuddin**Publisher:**Springer**ISBN:**8132236408**Category:**Mathematics**Page:**438**View:**5544

The book contains recent developments and contemporary research in mathematical analysis and in its application to problems arising from the biological and physical sciences. The book is of interest to readers who wish to learn of new research in such topics as linear and nonlinear analysis, mathematical biology and ecology, dynamical systems, graph theory, variational analysis and inequalities, functional analysis, differential and difference equations, partial differential equations, approximation theory, and chaos. All papers were prepared by participants at the International Conference on Recent Advances in Mathematical Biology, Analysis and Applications (ICMBAA-2015) held during 4–6 June 2015 in Aligarh, India. A focal theme of the conference was the application of mathematics to the biological sciences and on current research in areas of theoretical mathematical analysis that can be used as sophisticated tools for the study of scientific problems. The conference provided researchers, academicians and engineers with a platform that encouraged them to exchange their innovative ideas in mathematical analysis and its applications as well as to form interdisciplinary collaborations. The content of the book is divided into three parts: Part I contains contributions from participants whose topics are related to nonlinear dynamics and its applications in biological sciences. Part II has contributions which concern topics on nonlinear analysis and its applications to a variety of problems in science, engineering and industry. Part III consists of contributions dealing with some problems in applied analysis.

## Umbral calculus and Hopf algebras

**Author**: Robert A. Morris**Publisher:**Amer Mathematical Society**ISBN:**N.A**Category:**Mathematics**Page:**84**View:**9265

## Basic Notions of Algebra

**Author**: Igor R. Shafarevich**Publisher:**Springer Science & Business Media**ISBN:**3540264744**Category:**Mathematics**Page:**260**View:**5862

Wholeheartedly recommended to every student and user of mathematics, this is an extremely original and highly informative essay on algebra and its place in modern mathematics and science. From the fields studied in every university maths course, through Lie groups to cohomology and category theory, the author shows how the origins of each concept can be related to attempts to model phenomena in physics or in other branches of mathematics. Required reading for mathematicians, from beginners to experts.

## Advanced Linear Algebra

**Author**: Steven Roman**Publisher:**Springer Science & Business Media**ISBN:**9780387274744**Category:**Mathematics**Page:**486**View:**1685

Covers a notably broad range of topics, including some topics not generally found in linear algebra books Contains a discussion of the basics of linear algebra

## Algebraic Informatics

*5th International Conference, CAI 2013, Porquerolles, France, September 3-6, 2013. Proceedings*

**Author**: Traian Muntean,Robert Rolland,Dimitrios Poulakis**Publisher:**Springer**ISBN:**3642406637**Category:**Computers**Page:**275**View:**1582

This book constitutes the refereed proceedings of the 5th International Conference on Algebraic Informatics, CAI 2013, held in Porquerolles, France in September 2013. The 19 revised full papers presented together with 5 invited articles were carefully reviewed and selected from numerous submissions. The papers cover topics such as data models and coding theory; fundamental aspects of cryptography and security; algebraic and stochastic models of computing; logic and program modelling.