Mathematics

Books Not in Series

Nonlinear Algebraic Analysis and Applications

Hb 350pp 2004

Proceedings of The International Conference on Generalized Functions (ICGF 2000)

A.Delcroix, M.Hasler, J-A.Marti, V.Valmorin

University des Antilles et de la Guyane, Guadeloupe, French West Indies

This volume is a collection of refereed and edited papers originally presented at the International Conference on Generalized Functions (ICGF 2000) and provides a useful source of reference for graduates and researchers in mathematics and applied subjects. The papers are presented in four sections:

Section I: Theoretical Structures collects different viewpoints of algebraic and topological aspects of generalized functions

Section II: Integral and Partial Differential Equations includes:

-results of existence, uniqueness and stability

-asymptotic methods

-analysis and propagation of singularities

Section III: Geometry and Applications includes work on the manifold structure of generalized functions

Section IV: Application to Numerical Analysis covers numerical algorithms

978-1-904868-31-2

A Short Course in Differential Geometry and Topology

Hb 350pp 2008

A.T.Fomenko and A.S.Mishchenko

Moscow State University, Russia

This volume is intended for graduate and research students in mathematics and physics. It covers general topology, nonlinear co-ordinate systems, theory of smooth manifolds, theory of curves and surfaces, transformation groups, tensor analysis and Riemannian geometry, theory of integration and homologies, fundamental groups and variational principles in Riemannian geometry. The text is presented in a form that is easily accessible to students and is supplemented by a large number of examples, problems, drawings and appendices.

978-1-904868-32-3

Selected Problems in Differential Geometry and Topology

Hb 350pp 2009

A.T.Fomenko, A.S.Mischenko and Y.P.Solovyev

Moscow State University, Russia

This volume is intended as a supplementary text for a course on differential geometry and topology and other courses in mathematics, physics and mechanics for graduate students specializing in mathematics and applied fields. The volume is divided into two parts. Part I includes problems prescribed in standard courses of geometry and topology. Part II contains problems intended for a more profound grasp of modern geometry and its applications.

978-1-904868-33-9

Handbook of Mellin Transforms

800pp Hbk 2009

A.A.Kilbas and A.A.Prudnikov, Belarusian State University, Minsk

This volume presents the tables of formulae for the evaluation of Mellin Transforms of elementary and special functions. The Handbook includes some formulae obtained by the authors and published for the first time. The tables are prefaced by a summary of notation for special functions and certain constants. The appendix contains some properties of the Mellin transform and applications. The results in tables are important for applications in different areas of mathematics, physics, mechanics, engineering, chemistry, biology and other applied sciences. The Handbook is a useful source of reference for graduate students and researchers.

978-1-904868-40-8

Topological Methods in the Theory of Integrable Systems

300pp Hbk 2006

A.V.Bolsinov, A.T.Fomenko and A.A.Oshemkov, Moscow State University, Russia

This volume comprises selected papers on the subject of the topology of integrable systems ---- theory which studies their qualitative properties, singularities and topological invariants. It presents new trends in the theory of integrable systems and also give the reader some background to this field.

In particular, the volume includes original papers devoted to the classification of singularities with symmetries, semi-classical integrability, construction of "exotic" integrable systems, applications of integrability to Riemannian geometry, and analysis of specific integrable systems in classical mechanics. All of the contributing authors are well-known specialists actively working in this area of mathematics.

978-1-904868- 42-8

Theory of Set Differential Equations in Metric Spaces

250pp Hbk 2005

V.Lakshmikantham, T.Gnana Bhaskar and J.Vasundhara Devi, Florida Institute of Technology, USA

The aim of this volume is to describe the theory of set differential equations (SDEs) as an independent discipline. It incorporates the recent general theory of set differential equations, discusses the interconnections between set differential equations and fuzzy differential equations and uses both smooth and nonsmooth analysis for investigation. The study of SDEs is a rapidly growing area of mathematics and this volume provides a timely introduction to a subject that follows the present trend of studying analysis and differential equations in metric spaces. It is a useful reference text for postgraduates and researchers/nonlinear analysts, engineering and computational scientists working in fuzzy systems.

978-1-904868-46-0

The Origin and History of Mathematics

180pp Pbk 2005

V.Lakshmikantham, S.Leela and J.Vasundhara Devi, Florida Institute of Technology, USA

This is the first book on the history of mathematics that attempts to report the immense mathematical activity and contribution of Bharat (greater India) which has been ignored in existing books. This volume also provides the true origin of mathematical knowledge correcting the existing historical distortions and rectifies the chronology of important early mathematicians of India so that priority of discovery can be properly attributed and acknowledged. The authors stress the work of the fourteenth century Indian astronomer and mathematician, Madhava, who discovered the limiting process to infinity before Newton and Leibnitz. In this book the authors introduce a balanced view of the origin and history of mathematics by incorporating the extensive mathematical knowledge relative to the origin and continuity of mathematical research so as to present the true facts of history.

978-1-904868-47-9

Numerical Algorithms in Scientific Computing

2009 200pp Pbk

X-S. Yang, University of Cambridge, UK

This book is structured in three parts: Part I: Basic Algorithms Part II: Conventional Algorithms: Part III: Unconventional Algorithms. It introduces all major numerical algorithms used in modern scientific computing with the emphasis on worked examples to show how each algorithm works. Topics include root-finding algorithms, numerical integration, solution of linear systems, interpolation, numerical solutions of ordinary differential equations and partial differential equations, cellular automata, statistical modelling, random number generation, Monte Carlo methods, function optimization and unconventional metaheuristic algorithms such as ant algorithms, harmony search and firefly algorithms. The book is intended as a text book or supplementary text and will provide a useful source of reference for students and researchers.

978-1-904868-66-8

Theory of Fractional Dynamic Systems

176pp Hbk 2009

V. Lakshmikantham, S. Leela, J. Vasundhara Devi, Florida Institute of Technology, USA

This is the first book that attempts to describe the theory of fractional differential equations as an independent discipline. It incorporates the recent upsurge in the general theory of fractional differential equations, shows the interconnection between fractional differential equations and classical differential equations of integer order derivatives and uses both smooth and nonsmooth analysis for investigation. It is a timely introduction to the study of fractional differential equations that follows the classical approach and to compare and contrast the differences as well as intricacies that result in the development. It is a useful reference text for post graduates and researchers/nonlinear analysts, and engineering and computational scientists working in real world problems where fractional derivatives are involved in their modeling.

978-1-904868-64-4

The Legacy of A.Y. Khintchine's Work in Probability Theory

280pp Hbk 2009

S. Rogosin, State University of Belarus, Minsk and F. Mainardi, University of Bologna, Italy

This volume describes and highlights the role of the work of the well-known Russian mathematician, Alexander Yakovlevich Khintchine (1894-1959), in the early development of modern Probability Theory. The authors present the English translations of many of the key papers and monographs by Khintchine, supplemented by comments and notes. Several important results of Khintchine’s work were previously inaccessible and so this volume provides a useful reference text for students and researchers working in this area of mathematics.

978-1-904868-65-1

Analytic Methods of Analysis and Differential Equations: AMADE 2006

300pp Pbk 2008

A. A. Kilbas and S. V. Rogosin, Belarusian State University, Minsk

The fourth international conference of AMADE was held in Minsk in September 2006 and covered key topics including real and complex analysis, ordinary and partial differential equations, fractional calculus and functional equations, operator theory, potential theory as well as their applications. This volume comprises selected papers presented at the conference and provides a useful reference for graduates and researchers working in these areas of mathematics.

978-1-904868-60-6

Analytic Methods of Analysis and Differential Equations: AMADE 2003

300pp Pbk 2006

A.A.Kilbas and S.V.Rogosin, Belarusian State University, Minsk

The third international conference of AMADE was held in Minsk, Belarus in September 2003 and covered key topics including integral transforms and special functions; differential equations and their applications; integral, difference, functional equations and fractional calculus; real and complex analysis. This volume comprises selected papers presented at this conference and provides a useful reference for graduates and researchers working in these areas of mathematics.

978-1-904868-41-X

Nonlinear Problems in Aviation & Aerospace ICNPAA 2002

Pb 550pp 2003

Edited by S.Sivasundaram, Embry-Riddle Aeronautical University, Daytona Beach, USA

The fourth international conference on Nonlinear Problems in Aviation and Aerospace was held in Florida Institute of Technology, USA in May 2002. This proceedings publication includes keynote addresses, invited lectures and contributed papers presented at the conference. In recent years aviation and aerospace non-linear (not necessarily linear) phenomena have stimulated cooperation between scientists from several disciplines. The developments in computer technology have also allowed for solutions of nonlinear problems. The publication includes presentations on guidance, stability and control, computational structures, multidisciplinary design, computational fluids, optimisation, reliability, validation and verification, neural networks, neuro-fuzzy control, nonlinear mechanical systems, advances in nonlinear dynamics, soft computing, modelling and simulation, intelligent control, high performance computing, structural dynamics, aero acoustics, hybrid systems and nonlinear dynamical systems.

0-9526643-3-X

Mathematical Problems in Engineering and Aerospace Sciences: ICNPAA 2006

860pp Pbk 2007

S. Sivasundaram (ed) Embry Riddle Aeronautical University, Daytona Beach, USA

The Sixth International Conference on Mathematical Problems in Engineering and Aerospace Sciences was held at Budapest University of Technology and Economics, in June 2006. This proceedings publication reports on new ideas and research directions in engineering and aerospace sciences and comprises keynote addresses, invited lectures, and contributed papers. The volume includes papers on new trends and applications in transform theory, nonlinear flight dynamics problems: algorithm and software tools, stability in nonlinear sciences, multi disciplinary optimization, boundary value problems, optimization and simulation, air transport, operation and management, unmanned aircraft vehicles, numerical methods, region of attraction and its application to control theory, computational fluid dynamics, modeling and control in aerospace problems, fuzzy and intelligent control, unsteady flight control, reentry vehicles, stability and control, nonlinear mechanical systems.

978-1-904868-56-9

Mathematical Problems in Engineering and Aerospace Sciences: ICNPAA 2008

950pp Pbk 2009

S. Sivasundaram (ed) Embry Riddle Aeronautical University, Daytona Beach, USA

The Seventh International Conference on Mathematical Problems in Engineering Aerospace and Sciences was held Genoa, in June 2008. This proceedings publication reports on new ideas and research directions in engineering and aerospace sciences and comprises keynote addresses, invited lectures, and contributed papers. The volume includes papers on new trends and applications in transform theory, nonlinear flight dynamics problems: algorithm and software tools, stability in nonlinear sciences, multi disciplinary optimization, boundary value problems, optimization and simulation, air transport, operation and management, unmanned aircraft vehicles, numerical methods, region of attraction and its application to control theory, computational fluid dynamics, modeling and control in aerospace problems, fuzzy and intelligent control, unsteady flight control, reentry vehicles, stability and control, nonlinear mechanical systems.

978-1-904868-70-5

Mathematical Problems in Engineering and Aerospace Sciences: ICNPAA 2004

800pp Pbk 2005

S.Sivasundaram, Embry Riddle Aeronautical University, Daytona Beach, USA

The fifth international conference on Mathematical Problems in Engineering and Aerospace Sciences was held at University of Timisoara, Romania in June 2004. This proceedings publication includes keynote addresses, invited lectures and contributed papers presented at the conference. Mathematical problems in engineering and aerospace science have stimulated cooperation among scientists from several disciplines and developments in computer technology have led to solutions of mathematical problems. The publication includes papers on aeroacoustics, aerodynamics, computational fluid dynamics, air traffic control design, nonlinear filtering, atmospheric flight mechanics, propulsion and combustion, navigation, guidance, stability and control, neural networks, optimization, computer security and cryptography.

978-1-904868-48-7