In this monograph, the authors present a compact, thorough, systematic, and self-contained oscillation theory for linear, half-linear, superlinear, and sublinear second-order ordinary differential equations. An important feature of this monograph is the illustration of several results with examples of current interest. This book will stimulate further research into oscillation theory. This book is written at a graduate level, and is intended for university libraries, graduate students, and researchers working in the field of ordinary differential equations.
A complete, self-contained introduction to a powerful and resurgingmathematical discipline . Combinatorial Geometry presents andexplains with complete proofs some of the most important resultsand methods of this relatively young mathematical discipline,started by Minkowski, Fejes Toth, Rogers, and Erd???s. Nearly halfthe results presented in this book were discovered over the pasttwenty years, and most have never before appeared in any monograph.Combinatorial Geometry will be of particular interest tomathematicians, computer scientists, physicists, and materialsscientists interested in computational geometry, robotics, sceneanalysis, and computer-aided design. It is also a superb textbook,complete with end-of-chapter problems and hints to their solutionsthat help students clarify their understanding and test theirmastery of the material. Topics covered include: * Geometric number theory * Packing and covering with congruent convex disks * Extremal graph and hypergraph theory * Distribution of distances among finitely many points * Epsilon-nets and Vapnik--Chervonenkis dimension * Geometric graph theory * Geometric discrepancy theory * And much more
This book provides a detailed study of recent results in metric fixed point theory and presents several applications in nonlinear analysis, including matrix equations, integral equations and polynomial approximations. Each chapter is accompanied by basic definitions, mathematical preliminaries and proof of the main results. Divided into ten chapters, it discusses topics such as the Banach contraction principle and its converse; Ran-Reurings fixed point theorem with applications; the existence of fixed points for the class of α-ψ contractive mappings with applications to quadratic integral equations; recent results on fixed point theory for cyclic mappings with applications to the study of functional equations; the generalization of the Banach fixed point theorem on Branciari metric spaces; the existence of fixed points for a certain class of mappings satisfying an implicit contraction; fixed point results for a class of mappings satisfying a certain contraction involving extended simulation functions; the solvability of a coupled fixed point problem under a finite number of equality constraints; the concept of generalized metric spaces, for which the authors extend some well-known fixed point results; and a new fixed point theorem that helps in establishing a Kelisky–Rivlin type result for q-Bernstein polynomials and modified q-Bernstein polynomials. The book is a valuable resource for a wide audience, including graduate students and researchers.
A study of difference equations and inequalities. This second edition offers real-world examples and uses of difference equations in probability theory, queuing and statistical problems, stochastic time series, combinatorial analysis, number theory, geometry, electrical networks, quanta in radiation, genetics, economics, psychology, sociology, and
This book provides a compact, but thorough, introduction to the subject of Real Analysis. It is intended for a senior undergraduate and for a beginning graduate one-semester course.
World Scientific Series in Applicable Analysis (WSSIAA) aims at reporting new developments of a high mathematical standard and of current interest. Each volume in the series shall be devoted to mathematical analysis that has been applied, or potentially applicable to the solutions of scientific, engineering and social problems.This second volume of WSSIAA contains 34 research articles on numerical mathematics by leading mathematicians from all over the world. This volume is dedicated to the memory of Lothar Collatz (1910 - 1990) for his significant contributions to numerical mathematics.Contributors: G Adomian, E L Allgower, C T H Baker, B Beckermann, R W Brankin, C Brezinski, L Brugnano, J C Butcher, M D Buhmann, J R Cash, R Chapko, H-L Chen, Min Chen, I Galligani, T J Garratt, K Georg, I Gladwell, D Greenspan, C W Groetsch, E Hairer, P J van der Houwen, A Iserles, L Jay, K Kaji, A Q M Khaliq, M E Kramer, R Kress, Chun Li, D S Lubinsky, R M M Mattheij, C A Micchelli, J J H Miller, T Mitsui, G Monegato, G Moore, M Mori, M T Nakao, S P N?rsett, T Ojika, T Ooura, S Prssdorf, R Rach, Y Saito, M Sakai, T Sakurai, L F Shampine, B P Sommeijer, A Spence, H J Stetter, R Temam, K L Teo, V Thome, D Trigiante, T Torii, E H Twizell, R A Usmani, D A Voss, J Walker, Song Wang, G A Watson, J Wimp, K H Wong, N-Y Zhang.
The techniques of linear algebra are used extensively across the applied sciences, and in many different areas of algebra such as group theory, module theory, representation theory, ring theory, and Galois theory. Written by experienced researchers with a decades of teaching experience, Introduction to Linear Algebra is a clear and rigorous introductory text on this key topic for students of both applied sciences and pure mathematics.
Gain a detailed understanding of the fundamental concepts of chemistry and their engineering applications with this fully revised second edition. Catering to the needs of first and second semester undergraduate students from all branches of engineering taking courses on engineering chemistry, it offers new material on topics such as periodic properties, structure and bonding, gaseous states, ionic equilibrium, oxidation and reduction, Werner's coordination theory, Sidgwick coordination theory, valence bond theory, crystal field theory, bonding in coordination compounds, and isomerism in coordination compounds. Lucid language and an easy-to-learn approach help students to understand the basic concepts, use them to construct engineering materials, and solve problems associated with them. Each chapter is further strengthened by numerous examples and review questions.
In the last century many problems which arose in the science, engineer ing and technology literature involved nonlinear complex phenomena. In many situations these natural phenomena give rise to (i). ordinary differ ential equations which are singular in the independent and/or dependent variables together with initial and boundary conditions, and (ii). Volterra and Fredholm type integral equations. As one might expect general exis tence results were difficult to establish for the problems which arose. Indeed until the early 1990's only very special examples were examined and these examples were usually tackled using some special device, which was usually only applicable to the particular problem under investigation. However in the 1990's new results in inequality and fixed point theory were used to present a very general existence theory for singular problems. This mono graph presents an up to date account of the literature on singular problems. One of our aims also is to present recent theory on singular differential and integral equations to a new and wider audience. The book presents a compact, thorough, and self-contained account for singular problems. An important feature of this book is that we illustrate how easily the theory can be applied to discuss many real world examples of current interest. In Chapter 1 we study differential equations which are singular in the independent variable. We begin with some standard notation in Section 1. 2 and introduce LP-Caratheodory functions. Some fixed point theorems, the Arzela- Ascoli theorem and Banach's theorem are also stated here.
Written by a team of leading experts in the field, this volume presents a self-contained account of the theory, techniques and results in metric type spaces (in particular in G-metric spaces); that is, the text approaches this important area of fixed point analysis beginning from the basic ideas of metric space topology. The text is structured so that it leads the reader from preliminaries and historical notes on metric spaces (in particular G-metric spaces) and on mappings, to Banach type contraction theorems in metric type spaces, fixed point theory in partially ordered G-metric spaces, fixed point theory for expansive mappings in metric type spaces, generalizations, present results and techniques in a very general abstract setting and framework. Fixed point theory is one of the major research areas in nonlinear analysis. This is partly due to the fact that in many real world problems fixed point theory is the basic mathematical tool used to establish the existence of solutions to problems which arise naturally in applications. As a result, fixed point theory is an important area of study in pure and applied mathematics and it is a flourishing area of research.
This book is devoted to a rapidly developing branch of the qualitative theory of difference equations with or without delays. It presents the theory of oscillation of difference equations, exhibiting classical as well as very recent results in that area. While there are several books on difference equations and also on oscillation theory for ordinary differential equations, there is until now no book devoted solely to oscillation theory for difference equations. This book is filling the gap, and it can easily be used as an encyclopedia and reference tool for discrete oscillation theory. In nine chapters, the book covers a wide range of subjects, including oscillation theory for second-order linear difference equations, systems of difference equations, half-linear difference equations, nonlinear difference equations, neutral difference equations, delay difference equations, and differential equations with piecewise constant arguments. This book summarizes almost 300 recent research papers and hence covers all aspects of discrete oscillation theory that have been discussed in recent journal articles. The presented theory is illustrated with 121 examples throughout the book. Each chapter concludes with a section that is devoted to notes and bibliographical and historical remarks. The book is addressed to a wide audience of specialists such as mathematicians, engineers, biologists, and physicists. Besides serving as a reference tool for researchers in difference equations, this book can also be easily used as a textbook for undergraduate or graduate classes. It is written at a level easy to understand for college students who have had courses in calculus.
Pneumatic conveying systems offer enormous advantages: flexibility in plant layout, automatic operation, easy control and monitoring, and the ability to handle diverse materials, especially dangerous, toxic, or explosive materials. The Handbook of Pneumatic Conveying Engineering provides the most complete, comprehensive reference on all types and s
This book presents fixed point theory, one of the crucial tools in applied mathematics, functional analysis, and topology, which has been used to solve distinct real-world problems in computer science, engineering, and physics. The authors begin with an overview of the extension of metric spaces. Readers are introduced to general fixed-point theorems while comparing and contrasting important and insignificant metric spaces. The book is intended to be self-contained and serves as a unique resource for researchers in various disciplines.
This book provides application of multi criteria decision making techniques for managerial discretion. With this book, a concerted platform has been provided for several peers and other management organizations to understand and implement these tools and deal with the practical problems in a better way so as to provide more robust managerial decision making.
World Scientific Series in Applicable Analysis (WSSIAA) aims at reporting new developments of high mathematical standard and current interest. Each volume in the series shall be devoted to the mathematical analysis that has been applied or potentially applicable to the solutions of scientific, engineering, and social problems. This volume contains 30 research articles on the theory of optimization and its applications by the leading scientists in the field. It is hoped that the material in the present volume will open new vistas in research.Contributors: B D O Anderson, M Bertaja, O J Boxma, O Burdakov, A Cantoni, D J Clements, B D Craven, J B Cruz, Jr., P Diamond, S V Drakunov, Y G Evtushenko, N M Filatov, I Galligani, J C Geromel, F Giannessi, M J Grimble, G O Guardabassi, D-W Gu, C H Houpis, D G Hull, C Itiki, X Jian, M A Johnson, R E Kalaba, J C Kalkkuhl, M R Katebi, T J Kim, P Kloeden, T Kobylarz, A J Laub, C S Lee, G Leitmann, B-G Liu, J Liu, Z-Q Luo, K A Lurie, P Maponi, J B Matson, A Mess, G Pacelli, M Pachter, I Postlethwaite, T Rapcsak, M C Recchioni, Y Sakawa, S V Savastyuk, K Schittkowski, Y Shi, M A Sikora, D D Siljak, K L Teo, C Tovey, P Tseng, F E Udwadia, H Unbehauen, A Vladimirov, B Vo, J F Whidborne, R Xu, P L Yu, V G Zhadan, F Zirilli.
. The theory of difference equations, the methods used in their solutions and their wide applications have advanced beyond their adolescent stage to occupy a central position in Applicable Analysis. In fact, in the last five years, the proliferation of the subject is witnessed by hundreds of research articles and several monographs, two International Conferences and numerous Special Sessions, and a new Journal as well as several special issues of existing journals, all devoted to the theme of Difference Equations. Now even those experts who believe in the universality of differential equations are discovering the sometimes striking divergence between the continuous and the discrete. There is no doubt that the theory of difference equations will continue to play an important role in mathematics as a whole. In 1992, the first author published a monograph on the subject entitled Difference Equations and Inequalities. This book was an in-depth survey of the field up to the year of publication. Since then, the subject has grown to such an extent that it is now quite impossible for a similar survey, even to cover just the results obtained in the last four years, to be written. In the present monograph, we have collected some of the results which we have obtained in the last few years, as well as some yet unpublished ones.
World Scientific Series in Applicable Analysis (WSSIAA) reports new developments of a high mathematical standard and of current interest. Each volume in the series is devoted to mathematical analysis that has been applied, or is potentially applicable to the solution of scientific, engineering, and social problems. The third volume of WSSIAA contains 47 research articles on inequalities by leading mathematicians from all over the world and a tribute by R.M. Redheffer to Wolfgang Walter — to whom this volume is dedicated — on his 66th birthday.Contributors: A Acker, J D Aczél, A Alvino, K A Ames, Y Avishai, C Bandle, B M Brown, R C Brown, D Brydak, P S Bullen, K Deimling, J Diaz, Á Elbert, P W Eloe, L H Erbe, H Esser, M Essén, W D Evans, W N Everitt, V Ferone, A M Fink, R Ger, R Girgensohn, P Goetgheluck, W Haussmann, S Heikkilä, J Henderson, G Herzog, D B Hinton, T Horiuchi, S Hu, B Kawohl, V G Kirby; N Kirchhoff, G H Knightly, H W Knobloch, Q Kong, H König, A Kufner, M K Kwong, A Laforgia, V Lakshmikantham, S Leela, R Lemmert, E R Love, G Lüttgens, S Malek, R Manásevich, J Mawhin, R Medina, M Migda, R J Nessel, Z Páles, N S Papageorgiou, L E Payne, J Pe…ariƒ, L E Persson, A Peterson, M Pinto, M Plum, J Popenda, G Porru, R M Redheffer, A A Sagle, S Saitoh, D Sather, K Schmitt, D F Shea, A Simon, S Sivasundaram, R Sperb, C S Stanton, G Talenti, G Trombetti, S Varošanec, A S Vatsala, P Volkmann, H Wang, V Weckesser, F Zanolin, K Zeller, A Zettl.
Posterior Capsular Rupture: A Practical Guide to Prevention and Management addresses a nightmare of every cataract surgeon: a posterior capsular rupture. The book details each aspect of the process, from prevention of a posterior capsular rupture to management and IOL placement. Dr. Amar Agarwal and his contributors, leading international ophthalmic surgeons, discuss the latest techniques in easy-to-understand text and format and include more than 250 high-quality photographs that enhance reader comprehension. Posterior Capsular Rupture: A Practical Guide to Prevention and Management presents a variety of complicated cases and complications such as posterior polar cataracts, IOL scaffold & glued IOL, sutured IOLs, management of dislocated IOLs, and corneal damage & posterior capsule rupture, to name a few. Additionally, a video website accompanies Posterior Capsular Rupture: A Practical Guide to Prevention and Management and allows readers to gain a better understanding of the subject. Practicing ophthalmologists, residents, and post-graduate students alike will benefit from this book’s clear portrayal of this difficult medical issue.
This Book Covers A Wide Range Of Topics In Statistics With Conceptual Analysis, Mathematical Formulas And Adequate Details In Question-Answer Form. It Furnishes A Comprehensive Overview Of Statistics In A Lucid Manner. The Book Provides Ready-Made Material For All Inquisitive Minds To Help Them Prepare For Any Traditional Or Internal Grading System Examination, Competitions, Interviews, Viva-Voce And Applied Statistics Courses. One Will Not Have To Run From Pillar To Post For Guidance In Statistics. The Answers Are Self-Explanatory. For Objective Type Questions, At Many Places, The Answers Are Given With Proper Hints. Fill-In-The-Blanks Given In Each Chapter Will Enable The Readers To Revise Their Knowledge In A Short Span Of Time. An Adequate Number Of Multiple-Choice Questions Inculcate A Deep Understanding Of The Concepts. The Book Also Provides A Good Number Of Numerical Problems, Each Of Which Requires Fresh Thinking For Its Solution. It Will Also Facilitate The Teachers To A Great Extent In Teaching A Large Number Of Courses, As One Will Get A Plethora Of Matter At One Place About Any Topic In A Systematic And Logical Manner. The Book Can Also Serve As An Exhaustive Text.
This text comprehensively discusses the modeling of photovoltaic (PV) modules, PV array interconnections, multi-level inverters, distributed maximum power point tracking techniques, and static and dynamic PV array reconfiguration techniques. It gives a step-by-step procedure for hardware validation of the partial shading mitigation techniques. This book: Focuses on the impacts and mitigation techniques related to partial shading problems associated with PV systems. Presents a step-by-step guide for addressing partial shading problems in PV systems. Covers methods like array reconfiguration through Tom-Tom puzzle pattern and Arrow Sudoku pattern. Presents hardware validation of the partial shading mitigation techniques. Elaborates static and moving shading conditions in a detailed manner. It will serve as an ideal reference text for graduate students and academic researchers in the fields of electrical engineering, electronics and communication engineering, environmental engineering, and renewable energy.
This volume brings out recent developments and current activity in different areas of operational research. The topics covered include the following major areas: mathematical programming, queuing theory, reliability and maintenance, inventory and production control, statistical methods, networks and sequencing, and information technology. Recent Developments in Operational Research will be of considerable value and interest to operational researchers, both theoreticians and practitioners, as well as a reference source for research workers.
IIT (BHU), being one of the oldest engineering institutions in the country, having built a legacy of more than 100 years, has inspired millions of youth to achieve their dreams. It has produced a plethora of leaders that have helped India create a name of its own globally. The book, 'Varanasi Visionaries' curated to inspire the youth, showcases the life lessons and spiritual journeys of selected 30 individuals who have carved their own niche after graduating from BHU. • The individuals showcased are among the top Academicians, Entrepreneurs, Business Executives, and Social/ Public Executives passed out from the institute. •+I4671 These individuals were asked to share their experiences during their time at IIT (BHU) Varanasi and their enriching journeys in that period of time and after their graduation. • The book covers their post-IIT (BHU) Varanasi journey, as well, when they were carving their own future with their hard work and dedicated efforts. Through their professional achievements, readers can get a glimpse of their useful life lessons that can inspire the younger generation in their journey after higher education with a prestigious institution. • The Book is a must-read for all undergraduate & postgraduate students along with the youth who dares to dream and wish to achieve excellence in his/ her professional career. The book is a further must-have for all IIT BHU students and its alumni, to help the youth learn about the legacy of the institute and to strike the nostalgic chords of the pass-outs esteemed alumni. • To help this book see the light of day, 30 alumni were interviewed through personal meetings or on Zoom calls and were asked to share their - early life, career journey, IIT BHU recollections, achievements and challenges in career, critical lessons learned, spiritual journey experienced and message they want to share to the larger society. • Based on these stories the book has been prepared with great effort and zeal. • Also, the book has been enriched by Forewords written by Shri Yogi Adityanath, Prof. Amit Patra, Shri Anand G. Mahindra, Didi Ma Saadhvi Ritambhara and Prof. V. N. Mishra to authenticate the intentions behind developing this gem for a bigger cause. Also, there is an endorsement by Mr. Anupam Kher through a blurb to encourage and motivate the readers. • The individuals showcased in this book represent some of the best or the top IIT BHU alumni, but the list is not exhaustive. Many other esteemed alumni from the institute who were approached could not participate due to their prior commitments. There might be many more, whom we could not approach. • A lot of effort in the past year has helped the book to come to its fruition and strives to be a catalyst to inspire the younger generation to act as future dare-dreamers.
In this undergraduate/graduate textbook, the authors introduce ODEs and PDEs through 50 class-tested lectures. Mathematical concepts are explained with clarity and rigor, using fully worked-out examples and helpful illustrations. Exercises are provided at the end of each chapter for practice. The treatment of ODEs is developed in conjunction with PDEs and is aimed mainly towards applications. The book covers important applications-oriented topics such as solutions of ODEs in form of power series, special functions, Bessel functions, hypergeometric functions, orthogonal functions and polynomials, Legendre, Chebyshev, Hermite, and Laguerre polynomials, theory of Fourier series. Undergraduate and graduate students in mathematics, physics and engineering will benefit from this book. The book assumes familiarity with calculus.
An excellent book for commerce students appearing in competitive, professional and other examinations. 1.Business Environment : Meaning, Features and Classification, 2. Economic Systems, 3. Concept of Globalization, Liberalization and Privatization, 4. Multinational Corporation and World Trade Organisation, 5. National Income, 6. Savings, 7. Investment, 8. Industrial Sickness in India, 9. Inflation, 10. Unemployment, 11. Poverty, 12. Monetary Policy, 13. Fiscal Policy, 14. Industrial Policy & Industrial Licensing, 15. World Bank, 16. International Monetary Fund, 17. Balance of Payment, 18. Money, 19. Finance, 20. Price, 21. General Agreement on Trade and Tariff-Gatt, 22. International Economic Grouping, 23. Foreign Trade and Economic Growth, 24. Regional Imbalance, 25. International Trading Environment, 26. United Nations Conference on Trade and Development-UNCTAD, 27. Twelfth Five Year Plan (2012-17), 28. Social Injustice, 29. Export-Import Policy of India, 30. Parallel Economy, 31. Devaluation, 32. International Trading Environment, World Trade and Problems of Developing Countries, 33. Collaborations/In the Light of Recent Changes, 34. Foreign Investment, 35. Insurance Regulation and Development Act, 36. Securities and Exchange Board of India (SEBI), 37. Consumer Protection, 38. Regulation of Foreign Investment, 39. Strength, Weakness, Opportunities and Threats (SWOT)Analysis, 40. G.S.T.P., G.S.P. and Counter Trade.
About the Goods and Services Tax Book: The law stated in this book is as amended up to June 2020. Most authentic, up-to-date, and comprehensive textbook on GST. The book covers all topics of the syllabi of various universities for undergraduate and postgraduate courses. In the present revised edition almost all the chapters have been thoroughly revised and updated and a chapter on Payment and Refund of Tax (with TDS and TCS) has been completely rewritten. At the end of each chapter large number of MCQ and Short Questions (Over 300 in number) with Ans. have been given which enables students to learn faster. This unique feature will serve as the backbone in understanding the whole chapter. Law relating to GST has been discussed thoroughly in easy language and in a lucid style. The questions asked in recent university examinations have been incorporated in the book. Every chapter contains a complete explanation of the topic with suitable examples and, where necessary, followed by graded solved illustrations and questions for practice with Ans.
This book systematically establishes the almost periodic theory of dynamic equations and presents applications on time scales in fuzzy mathematics and uncertainty theory. The authors introduce a new division of fuzzy vectors depending on a determinant algorithm and develop a theory of almost periodic fuzzy multidimensional dynamic systems on time scales. Several applications are studied; in particular, a new type of fuzzy dynamic systems called fuzzy q-dynamic systems (i.e. fuzzy quantum dynamic systems) is presented. The results are not only effective on classical fuzzy dynamic systems, including their continuous and discrete situations, but are also valid for other fuzzy multidimensional dynamic systems on various hybrid domains. In an effort to achieve more accurate analysis in real world applications, the authors propose a number of uncertain factors in the theory. As such, fuzzy dynamical models, interval-valued functions, differential equations, fuzzy-valued differential equations, and their applications to dynamic equations on time scales are considered.
X-ray spectroscopy has emerged as a powerful tool in research and in industrial laboratories. It is used in the study of metals, semiconductors, amorphous solids, liquids and gases. This comprehensive presentation develops the subject from its basic principles and relates the theory to experimental observations. The new edition includes topics that have recently become important, for example, the X-ray laser, appearance potential spectroscopy, synchrotron radiation and EXAFS of high-Tc superconducting materials. A thorough introduction, up to research level, isprovided to EXAFS, which has seen rapid development in the past few years. This textbook conveniently presents the principles, applications and current techniques of X-ray spectroscopy, which makes it ideal for graduate students beginning research involving x-ray spectroscopy.
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