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Zeta and Q Zeta Functions and Associated Series and Integrals

Zeta and Q Zeta Functions and Associated Series and Integrals Author H. M. Srivastava
ISBN-10 9780123852182
Release 2012
Pages 657
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Zeta and q-Zeta Functions and Associated Series and Integrals is a thoroughly revised, enlarged and updated version of Series Associated with the Zeta and Related Functions. Many of the chapters and sections of the book have been significantly modified or rewritten, and a new chapter on the theory and applications of the basic (or q-) extensions of various special functions is included. This book will be invaluable because it covers not only detailed and systematic presentations of the theory and applications of the various methods and techniques used in dealing with many different classes of series and integrals associated with the Zeta and related functions, but stimulating historical accounts of a large number of problems and well-classified tables of series and integrals. Detailed and systematic presentations of the theory and applications of the various methods and techniques used in dealing with many different classes of series and integrals associated with the Zeta and related functions

Limits Series and Fractional Part Integrals

Limits  Series  and Fractional Part Integrals Author Ovidiu Furdui
ISBN-10 9781461467625
Release 2013-05-30
Pages 274
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This book features challenging problems of classical analysis that invite the reader to explore a host of strategies and tools used for solving problems of modern topics in real analysis. This volume offers an unusual collection of problems — many of them original — specializing in three topics of mathematical analysis: limits, series, and fractional part integrals. The work is divided into three parts, each containing a chapter dealing with a particular problem type as well as a very short section of hints to select problems. The first chapter collects problems on limits of special sequences and Riemann integrals; the second chapter focuses on the calculation of fractional part integrals with a special section called ‘Quickies’ which contains problems that have had unexpected succinct solutions. The final chapter offers the reader an assortment of problems with a flavor towards the computational aspects of infinite series and special products, many of which are new to the literature. Each chapter contains a section of difficult problems which are motivated by other problems in the book. These ‘Open Problems’ may be considered research projects for students who are studying advanced calculus, and which are intended to stimulate creativity and the discovery of new and original methods for proving known results and establishing new ones. This stimulating collection of problems is intended for undergraduate students with a strong background in analysis; graduate students in mathematics, physics, and engineering; researchers; and anyone who works on topics at the crossroad between pure and applied mathematics. Moreover, the level of problems is appropriate for students involved in the Putnam competition and other high level mathematical contests.

Series Associated With the Zeta and Related Functions

Series Associated With the Zeta and Related Functions Author H. M. Srivastava
ISBN-10 0792370546
Release 2001-01-01
Pages 388
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Designed as a reference work and also as a graduate-level textbook, this volume presents an up-to-date and comprehensive account of the theories and applications of the various methods and techniques used in dealing with problems involving closed-form evaluations of (and representations of the Riemann Zeta function at positive integer arguments as) numerous families of series associated with the Riemann Zeta function, the Hurwitz Zeta function, and their extensions and generalizations such as Lerch's transcendent (or the Hurwitz-Lerch Zeta function). Audience: This book is intended for professional mathematicians and graduate students in mathematical sciences (both pure and applied).

Cloud Computing

Cloud Computing Author Dan C. Marinescu
ISBN-10 9780128128114
Release 2017-11-20
Pages 588
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Cloud Computing: Theory and Practice, Second Edition, provides students and IT professionals with an in-depth analysis of the cloud from the ground up. After an introduction to network-centric computing and network-centric content in Chapter One, the book is organized into four sections. Section One reviews basic concepts of concurrency and parallel and distributed systems. Section Two presents such critical components of the cloud ecosystem as cloud service providers, cloud access, cloud data storage, and cloud hardware and software. Section Three covers cloud applications and cloud security, while Section Four presents research topics in cloud computing. Specific topics covered include resource virtualization, resource management and scheduling, and advanced topics like the impact of scale on efficiency, cloud scheduling subject to deadlines, alternative cloud architectures, and vehicular clouds. An included glossary covers terms grouped in several categories, from general to services, virtualization, desirable attributes and security. Includes new chapters on concurrency, cloud hardware and software, challenges posed by big data and mobile applications and advanced topics Provides a new appendix that presents several cloud computing projects Presents more than 400 references in the text, including recent research results in several areas related to cloud computing

Exergetic Energetic and Environmental Dimensions

Exergetic  Energetic and Environmental Dimensions Author Ibrahim Dincer
ISBN-10 9780128137352
Release 2017-10-06
Pages 1116
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This edited book looks at recent studies on interdisciplinary research related to exergy, energy, and the environment. This topic is of prime significance – there is a strong need for practical solutions through better design, analysis and assessment in order to achieve better efficiency, environment and sustainability. Exergetic, Energetic and Environmental Dimensions covers a number of topics ranging from thermodynamic optimization of energy systems, to the environmental impact assessment and clean energy, offering readers a comprehensive reference on analysis, modeling, development, experimental investigation, and improvement of many micro to macro systems and applications, ranging from basic to advanced categories. Its comprehensive content includes: Comprehensive coverage of development of systems considering exergy, energy, and environmental issues, along with the most up-to-date information in the area, plus recent developments New developments in the area of exergy, including recent debate involving the shaping of future directions and priorities for better environment, sustainable development and energy security Provides a number of illustrative examples, practical applications, and case studies Introduces recently developed technological and strategic solutions and engineering applications for professionals in the area Provides numerous engineering examples and applications on exergy Offers a variety of problems that foster critical thinking and skill development

In Search of the Riemann Zeros

In Search of the Riemann Zeros Author Michel Laurent Lapidus
ISBN-10 0821842226
Release 2008
Pages 558
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Formulated in 1859, the Riemann Hypothesis is the most celebrated and multifaceted open problem in mathematics. In essence, it states that the primes are distributed as harmoniously as possible--or, equivalently, that the Riemann zeros are located on a single vertical line, called the critical line. In this book, the author proposes a new approach to understand and possibly solve the Riemann Hypothesis. His reformulation builds upon earlier (joint) work on complex fractal dimensions and the vibrations of fractal strings, combined with string theory and noncommutative geometry. Accordingly, it relies on the new notion of a fractal membrane or quantized fractal string, along with the modular flow on the associated moduli space of fractal membranes. Conjecturally, under the action of the modular flow, the spacetime geometries become increasingly symmetric and crystal-like, hence, arithmetic. Correspondingly, the zeros of the associated zeta functions eventually condense onto the critical line, towards which they are attracted, thereby explaining why the Riemann Hypothesis must be true. Written with a diverse audience in mind, this unique book is suitable for graduate students, experts and nonexperts alike, with an interest in number theory, analysis, dynamical systems, arithmetic, fractal or noncommutative geometry, and mathematical or theoretical physics.

Fractional Differential Equations

Fractional Differential Equations Author Igor Podlubny
ISBN-10 0080531989
Release 1998-10-27
Pages 340
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This book is a landmark title in the continuous move from integer to non-integer in mathematics: from integer numbers to real numbers, from factorials to the gamma function, from integer-order models to models of an arbitrary order. For historical reasons, the word 'fractional' is used instead of the word 'arbitrary'. This book is written for readers who are new to the fields of fractional derivatives and fractional-order mathematical models, and feel that they need them for developing more adequate mathematical models. In this book, not only applied scientists, but also pure mathematicians will find fresh motivation for developing new methods and approaches in their fields of research. A reader will find in this book everything necessary for the initial study and immediate application of fractional derivatives fractional differential equations, including several necessary special functions, basic theory of fractional differentiation, uniqueness and existence theorems, analytical numerical methods of solution of fractional differential equations, and many inspiring examples of applications. A unique survey of many applications of fractional calculus Presents basic theory Includes a unified presentation of selected classical results, which are important for applications Provides many examples Contains a separate chapter of fractional order control systems, which opens new perspectives in control theory The first systematic consideration of Caputo's fractional derivative in comparison with other selected approaches Includes tables of fractional derivatives, which can be used for evaluation of all considered types of fractional derivatives

Insects as Sustainable Food Ingredients

Insects as Sustainable Food Ingredients Author Aaron T. Dossey
ISBN-10 9780128028926
Release 2016-06-23
Pages 402
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Insects as Sustainable Food Ingredients: Production, Processing and Food Applications describes how insects can be mass produced and incorporated into our food supply at an industrial and cost-effective scale, providing valuable guidance on how to build the insect-based agriculture and the food and biomaterial industry. Editor Aaron Dossey, a pioneer in the processing of insects for human consumption, brings together a team of international experts who effectively summarize the current state-of-the-art, providing helpful recommendations on which readers can build companies, products, and research programs. Researchers, entrepreneurs, farmers, policymakers, and anyone interested in insect mass production and the industrial use of insects will benefit from the content in this comprehensive reference. The book contains all the information a basic practitioner in the field needs, making this a useful resource for those writing a grant, a research or review article, a press article, or news clip, or for those deciding how to enter the world of insect based food ingredients. Details the current state and future direction of insects as a sustainable source of protein, food, feed, medicine, and other useful biomaterials Provides valuable guidance that is useful to anyone interested in utilizing insects as food ingredients Presents insects as an alternative protein/nutrient source that is ideal for food companies, nutritionists, entomologists, food entrepreneurs, and athletes, etc. Summarizes the current state-of-the-art, providing helpful recommendations on building companies, products, and research programs Ideal reference for researchers, entrepreneurs, farmers, policymakers, and anyone interested in insect mass production and the industrial use of insects Outlines the challenges and opportunities within this emerging industry

Modern Computer Arithmetic

Modern Computer Arithmetic Author Richard P. Brent
ISBN-10 9781139492287
Release 2010-11-25
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Modern Computer Arithmetic focuses on arbitrary-precision algorithms for efficiently performing arithmetic operations such as addition, multiplication and division, and their connections to topics such as modular arithmetic, greatest common divisors, the Fast Fourier Transform (FFT), and the computation of elementary and special functions. Brent and Zimmermann present algorithms that are ready to implement in your favourite language, while keeping a high-level description and avoiding too low-level or machine-dependent details. The book is intended for anyone interested in the design and implementation of efficient high-precision algorithms for computer arithmetic, and more generally efficient multiple-precision numerical algorithms. It may also be used in a graduate course in mathematics or computer science, for which exercises are included. These vary considerably in difficulty, from easy to small research projects, and expand on topics discussed in the text. Solutions to selected exercises are available from the authors.

The Analysis of Fractional Differential Equations

The Analysis of Fractional Differential Equations Author Kai Diethelm
ISBN-10 9783642145742
Release 2010-08-18
Pages 247
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Fractional calculus was first developed by pure mathematicians in the middle of the 19th century. Some 100 years later, engineers and physicists have found applications for these concepts in their areas. However there has traditionally been little interaction between these two communities. In particular, typical mathematical works provide extensive findings on aspects with comparatively little significance in applications, and the engineering literature often lacks mathematical detail and precision. This book bridges the gap between the two communities. It concentrates on the class of fractional derivatives most important in applications, the Caputo operators, and provides a self-contained, thorough and mathematically rigorous study of their properties and of the corresponding differential equations. The text is a useful tool for mathematicians and researchers from the applied sciences alike. It can also be used as a basis for teaching graduate courses on fractional differential equations.

Generalized Fractional Calculus and Applications

Generalized Fractional Calculus and Applications Author Virginia S Kiryakova
ISBN-10 0582219779
Release 1993-12-27
Pages 360
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In this volume various applications are discussed, in particular to the hyper-Bessel differential operators and equations, Dzrbashjan-Gelfond-Leontiev operators and Borel type transforms, convolutions, new representations of hypergeometric functions, solutions to classes of differential and integral equations, transmutation method, and generalized integral transforms. Some open problems are also posed. This book is intended for graduate and post-graduate students, lecturers, researchers and others working in applied mathematical analysis, mathematical physics and related disciplines.

The H Function

The H Function Author A.M. Mathai
ISBN-10 1441909168
Release 2009-10-10
Pages 268
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TheH-function or popularly known in the literature as Fox’sH-function has recently found applications in a large variety of problems connected with reaction, diffusion, reaction–diffusion, engineering and communication, fractional differ- tial and integral equations, many areas of theoretical physics, statistical distribution theory, etc. One of the standard books and most cited book on the topic is the 1978 book of Mathai and Saxena. Since then, the subject has grown a lot, mainly in the elds of applications. Due to popular demand, the authors were requested to - grade and bring out a revised edition of the 1978 book. It was decided to bring out a new book, mostly dealing with recent applications in statistical distributions, pa- way models, nonextensive statistical mechanics, astrophysics problems, fractional calculus, etc. and to make use of the expertise of Hans J. Haubold in astrophysics area also. It was decided to con ne the discussion toH-function of one scalar variable only. Matrix variable cases and many variable cases are not discussed in detail, but an insight into these areas is given. When going from one variable to many variables, there is nothing called a unique bivariate or multivariate analogue of a givenfunction. Whatever be the criteria used, there may be manydifferentfunctions quali ed to be bivariate or multivariate analogues of a given univariate function. Some of the bivariate and multivariateH-functions, currently in the literature, are also questioned by many authors.

Asymptotic Methods for Integrals

Asymptotic Methods for Integrals Author Nico M Temme
ISBN-10 9789814612173
Release 2014-10-31
Pages 628
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This book gives introductory chapters on the classical basic and standard methods for asymptotic analysis, such as Watson's lemma, Laplace's method, the saddle point and steepest descent methods, stationary phase and Darboux's method. The methods, explained in great detail, will obtain asymptotic approximations of the well-known special functions of mathematical physics and probability theory. After these introductory chapters, the methods of uniform asymptotic analysis are described in which several parameters have influence on typical phenomena: turning points and transition points, coinciding saddle and singularities. In all these examples, the special functions are indicated that describe the peculiar behavior of the integrals. The text extensively covers the classical methods with an emphasis on how to obtain expansions, and how to use the results for numerical methods, in particular for approximating special functions. In this way, we work with a computational mind: how can we use certain expansions in numerical analysis and in computer programs, how can we compute coefficients, and so on. Contents:Basic Methods for IntegralsBasic Methods: Examples for Special FunctionsOther Methods for IntegralsUniform Methods for IntegralsUniform Methods for Laplace-Type IntegralsUniform Examples for Special FunctionsA Class of Cumulative Distribution Functions Readership: Researchers in applied mathematics, engineering, physics, mathematical statistics, probability theory and biology. The introductory parts and examples will be useful for post-graduate students in mathematics. Key Features:The book gives a complete overview of the classical asymptotic methods for integralsThe many examples give insight in the behavior of the well-known special functionsThe detailed explanations on how to obtain the coefficients in the expansions make the results useful for numerical applications, in particular, for computing special functionsThe many results on asymptotic representations of special functions supplement and extend those in the NIST Handbook of Mathematical FunctionsKeywords:Asymptotic Analysis;Approximation of Integrals;Asymptotic Approximations;Asymptotic Expansions;Steepest Descent Methods;Saddle Point Methods;Stationary Phase Method;Special Functions;Numerical Approximation of Special Functions;Cumulative Distribution FunctionsReviews: “The book is a useful contribution to the literature. It contains many asymptotic formulas that can be used by practitioners.” Zentralblatt MATH

Chloroplast Biogenesis

Chloroplast Biogenesis Author Udaya C. Biswal
ISBN-10 9789401702478
Release 2013-04-17
Pages 353
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Chloroplast is the organelle where the life-giving process photosynthesis takes place; it is the site where plants and algae produce food and oxygen that sustain our life. The story of how it originates from proplastids, and how it ultimately dies is beautifully portrayed by three authorities in the field: Basanti Biswal, Udaya Biswal and M. K. Raval. I consider it a great privilege and honor to have been asked to write this foreword. The book ' Chloroplast biogenesis: from proplastid to gerontoplast' goes much beyond photosynthesis. The character of the book is different from that of many currently available books because it provides an integrated approach to cover the entire life span of the organelle including its senescence and death. The books available are mostly confined to the topics relating to the 'build up' or development of chloroplast during greening. The story of organelle biogenesis without description of the events associated with its regulated dismantling during genetically programmed senescence is incomplete. A large volume of literature is available in this area of chloroplast senescence accumulated during the last 20 years. Although some of the findings in this field have been organized in the form of reviews, the data in the book are generalized and integrated with simple text and graphics. This book describes the structural features of prop las tid and its transformation to fully mature chloroplast, which is subsequently transformed into gerontoplast exhibiting senescence syndrome. The book consists of five major chapters.

Handbook of Dietary and Nutritional Aspects of Human Breast Milk

Handbook of Dietary and Nutritional Aspects of Human Breast Milk Author Sherma Zibadi
ISBN-10 9789086862092
Release 2013-09-18
Pages 852
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Breast feeding has a great impact on the growth of infants both physically and psychologically. Human breast milk is beneficial to infant health because it contains the necessary macro- and micro-nutrients for tissue accretion, repair and behavioural developments. The production of milk is a complex biological process and its composition and volume is dependent upon a variety of factors such as the health and dietary status of the mother. Moreover, it is influenced by the different stages and duration of breast feeding. Environmental factors, both global and local, may also alter lactation, milk composition and nutritional value. This handbook provides a unique and complete insight into the dietary and nutritional aspects of human breast milk. For a general understanding an overview is given of breast structure and function and lactation. Nutritional aspects are highlighted in a section on the composition of breast milk, including recent research results on breast milk and growth factors, vitamins, proteins and antigens, amongst others. Finally an analysis of both the beneficial and adverse factors relating to lactation and composition of breast milk are discussed.

The Riemann Hypothesis

The Riemann Hypothesis Author Peter Borwein
ISBN-10 9780387721255
Release 2008
Pages 533
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This book presents the Riemann Hypothesis, connected problems, and a taste of the body of theory developed towards its solution. It is targeted at the educated non-expert. Almost all the material is accessible to any senior mathematics student, and much is accessible to anyone with some university mathematics. The appendices include a selection of original papers. This collection is not very large and encompasses only the most important milestones in the evolution of theory connected to the Riemann Hypothesis. The appendices also include some authoritative expository papers. These are the "expert witnesses” whose insight into this field is both invaluable and irreplaceable.

Elsevier s Integrated Review Immunology and Microbiology E Book

Elsevier s Integrated Review Immunology and Microbiology E Book Author Jeffrey K. Actor
ISBN-10 9781455727018
Release 2011-09-28
Pages 192
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Effectively merge basic science and clinical skills with Elsevier’s Integrated Review of Immunology and Microbiology, by Jeffrey K. Actor, PhD. This concise, high-yield title in the popular Integrated Review Series focuses on the core knowledge in immunology and microbiology while linking that information to related concepts from other basic science disciplines. Case-based questions at the end of each chapter enable you to gauge your mastery of the material, and a color-coded format allows you to quickly find the specific guidance you need. . This concise and user-friendly reference provides crucial guidance for the early years of medical training and USMLE preparation. This title includes additional digital media when purchased in print format. For this digital book edition, media content is not included. Spend more time reviewing and less time searching thanks to an extremely focused, "high-yield" presentation. Gauge your mastery of the material and build confidence with case-based and USMLE-style questions that provide effective chapter review and quick practice for your exams. This title includes additional digital media when purchased in print format. For this digital book edition, media content is not included. Grasp and retain vital concepts more easily thanks to a color-coded format, succinct text, key concept boxes, and dynamic illustrations that facilitate learning in a highly visual approach. Effectively review for problem-based courses with the help of text boxes that help you clearly see the clinical relevance of the material.