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Books > Science & Mathematics > Mathematics > Applied mathematics

Ancient Measurement - How Ancient Civilizations Created Precise and Reproducible Standards (Hardcover): Roland A Boucher Ancient Measurement - How Ancient Civilizations Created Precise and Reproducible Standards (Hardcover)
Roland A Boucher
R794 Discovery Miles 7 940 Ships in 12 - 17 working days
Advances in Robot Kinematics 2020 (Hardcover, 1st ed. 2021): Jadran Lenarcic, Bruno Siciliano Advances in Robot Kinematics 2020 (Hardcover, 1st ed. 2021)
Jadran Lenarcic, Bruno Siciliano
R5,631 Discovery Miles 56 310 Ships in 10 - 15 working days

This book is of interest to researchers wanting to know more about the latest topics and methods in the fields of the kinematics, control and design of robotic systems. The papers cover the full range of robotic systems, including serial, parallel and cable-driven manipulators. The systems range from being less than fully mobile, to kinematically redundant, to over-constrained. The book brings together 43 peer-reviewed papers. They report on the latest scientific and applied achievements. The main theme that connects them is the movement of robots in the most diverse areas of application.

Optimization Under Uncertainty with Applications to Aerospace Engineering (Hardcover, 1st ed. 2021): Massimiliano Vasile Optimization Under Uncertainty with Applications to Aerospace Engineering (Hardcover, 1st ed. 2021)
Massimiliano Vasile
R4,707 Discovery Miles 47 070 Ships in 10 - 15 working days

In an expanding world with limited resources, optimization and uncertainty quantification have become a necessity when handling complex systems and processes. This book provides the foundational material necessary for those who wish to embark on advanced research at the limits of computability, collecting together lecture material from leading experts across the topics of optimization, uncertainty quantification and aerospace engineering. The aerospace sector in particular has stringent performance requirements on highly complex systems, for which solutions are expected to be optimal and reliable at the same time. The text covers a wide range of techniques and methods, from polynomial chaos expansions for uncertainty quantification to Bayesian and Imprecise Probability theories, and from Markov chains to surrogate models based on Gaussian processes. The book will serve as a valuable tool for practitioners, researchers and PhD students.

Phase Space Dynamics in Plasma Based Wakefield Acceleration (Hardcover, 1st ed. 2020): Xinlu Xu Phase Space Dynamics in Plasma Based Wakefield Acceleration (Hardcover, 1st ed. 2020)
Xinlu Xu
R2,873 Discovery Miles 28 730 Ships in 10 - 15 working days

This book explores several key issues in beam phase space dynamics in plasma-based wakefield accelerators. It reveals the phase space dynamics of ionization-based injection methods by identifying two key phase mixing processes. Subsequently, the book proposes a two-color laser ionization injection scheme for generating high-quality beams, and assesses it using particle-in-cell (PIC) simulations. To eliminate emittance growth when the beam propagates between plasma accelerators and traditional accelerator components, a method using longitudinally tailored plasma structures as phase space matching components is proposed. Based on the aspects above, a preliminary design study on X-ray free-electron lasers driven by plasma accelerators is presented. Lastly, an important type of numerical noise-the numerical Cherenkov instabilities in particle-in-cell codes-is systematically studied.

Fundamental Theories and Their Applications of the Calculus of Variations (Hardcover, 1st ed. 2021): Dazhong Lao, Shanshan Zhao Fundamental Theories and Their Applications of the Calculus of Variations (Hardcover, 1st ed. 2021)
Dazhong Lao, Shanshan Zhao
R7,452 Discovery Miles 74 520 Ships in 12 - 17 working days

This book focuses on the calculus of variations, including fundamental theories and applications. This textbook is intended for graduate and higher-level college and university students, introducing them to the basic concepts and calculation methods used in the calculus of variations. It covers the preliminaries, variational problems with fixed boundaries, sufficient conditions of extrema of functionals, problems with undetermined boundaries, variational problems of conditional extrema, variational problems in parametric forms, variational principles, direct methods for variational problems, variational principles in mechanics and their applications, and variational problems of functionals with vector, tensor and Hamiltonian operators. Many of the contributions are based on the authors' research, addressing topics such as the extension of the connotation of the Hilbert adjoint operator, definitions of the other three kinds of adjoint operators, the extremum function theorem of the complete functional, unified Euler equations in variational methods, variational theories of functionals with vectors, modulus of vectors, arbitrary order tensors, Hamiltonian operators and Hamiltonian operator strings, reconciling the Euler equations and the natural boundary conditions, and the application range of variational methods. The book is also a valuable reference resource for teachers as well as science and technology professionals.

The Mathematical Principles of Natural Philosophy (Hardcover): Isaac Newton, Andrew D 1734 Motte The Mathematical Principles of Natural Philosophy (Hardcover)
Isaac Newton, Andrew D 1734 Motte; William 1771-1807 Davis
R906 Discovery Miles 9 060 Ships in 12 - 17 working days
Physical Layer Security (Hardcover, 1st ed. 2021): Khoa N Le Physical Layer Security (Hardcover, 1st ed. 2021)
Khoa N Le
R3,412 Discovery Miles 34 120 Ships in 12 - 17 working days

This book studies the vulnerability of wireless communications under line-of-sight (LoS) and non-LoS correlated fading environments. The authors theoretically and practically provide physical layer security analyses for several technologies and networks such as Fifth-Generation (5G) networks, Internet of Things (IoT) applications, and Non-orthogonal multiple access (NOMA). The authors have provided these under various practical scenarios, and developed theoretical aspects to validate their proposed applications. Presents physical layer security (PLS) under correlated fading environments, 5G wireless networks, and NOMA networks; Provides end-to-end analyses, combination of channel correlation and outdated CSI and their effects on PL; Includes contributions of PLS research written by global experts in academia and industry.

On Exciton-Vibration and Exciton-Photon Interactions in Organic Semiconductors (Hardcover, 1st ed. 2021): Antonios M. Alvertis On Exciton-Vibration and Exciton-Photon Interactions in Organic Semiconductors (Hardcover, 1st ed. 2021)
Antonios M. Alvertis
R4,730 Discovery Miles 47 300 Ships in 12 - 17 working days

What are the physical mechanisms that underlie the efficient generation and transfer of energy at the nanoscale? Nature seems to know the answer to this question, having optimised the process of photosynthesis in plants over millions of years of evolution. It is conceivable that humans could mimic this process using synthetic materials, and organic semiconductors have attracted a lot of attention in this respect. Once an organic semiconductor absorbs light, bound pairs of electrons with positively charged holes, termed `excitons', are formed. Excitons behave as fundamental energy carriers, hence understanding the physics behind their efficient generation and transfer is critical to realising the potential of organic semiconductors for light-harvesting and other applications, such as LEDs and transistors. However, this problem is extremely challenging since excitons can interact very strongly with photons. Moreover, simultaneously with the exciton motion, organic molecules can vibrate in hundreds of possible ways, having a very strong effect on energy transfer. The description of these complex phenomena is often beyond the reach of standard quantum mechanical methods which rely on the assumption of weak interactions between excitons, photons and vibrations. In this thesis, Antonios Alvertis addresses this problem through the development and application of a variety of different theoretical methods to the description of these strong interactions, providing pedagogical explanations of the underlying physics. A comprehensive introduction to organic semiconductors is followed by a review of the background theory that is employed to approach the relevant research questions, and the theoretical results are presented in close connection with experiment, yielding valuable insights for experimentalists and theoreticians alike.

Computational Fluid Dynamics and the Theory of Fluidization - Applications of the Kinetic Theory of Granular Flow (Hardcover,... Computational Fluid Dynamics and the Theory of Fluidization - Applications of the Kinetic Theory of Granular Flow (Hardcover, 1st ed. 2021)
Huilin Lu, Dimitri Gidaspow, Shuyan Wang
R4,728 Discovery Miles 47 280 Ships in 12 - 17 working days

This book is for engineers and students to solve issues concerning the fluidized bed systems. It presents an analysis that focuses directly on the problem of predicting the fluid dynamic behavior which empirical data is limited or unavailable. The second objective is to provide a treatment of computational fluidization dynamics that is readily accessible to the non-specialist. The approach adopted in this book, starting with the formulation of predictive expressions for the basic conservation equations for mass and momentum using kinetic theory of granular flow. The analyses presented in this book represent a body of simulations and experiments research that has appeared in numerous publications over the last 20 years. This material helps to form the basis for university course modules in engineering and applied science at undergraduate and graduate level, as well as focused, post-experienced courses for the process, and allied industries.

The Fibonacci Resonance and Other New Golden Ratio Discoveries - Maths, Music, Archaeology, Architecture, Art, Quasicrystals,... The Fibonacci Resonance and Other New Golden Ratio Discoveries - Maths, Music, Archaeology, Architecture, Art, Quasicrystals, Metamaterials, Lucas Numbers, Ori32 (Hardcover)
Clive N. Menhinick
R1,450 Discovery Miles 14 500 Ships in 12 - 17 working days
Game Theory for Cyber Deception - From Theory to Applications (Hardcover, 1st ed. 2021): Jeffrey Pawlick, Quanyan Zhu Game Theory for Cyber Deception - From Theory to Applications (Hardcover, 1st ed. 2021)
Jeffrey Pawlick, Quanyan Zhu
R3,080 Discovery Miles 30 800 Ships in 12 - 17 working days

This book introduces game theory as a means to conceptualize, model, and analyze cyber deception. Drawing upon a collection of deception research from the past 10 years, the authors develop a taxonomy of six species of defensive cyber deception. Three of these six species are highlighted in the context of emerging problems such as privacy against ubiquitous tracking in the Internet of things (IoT), dynamic honeynets for the observation of advanced persistent threats (APTs), and active defense against physical denial-of-service (PDoS) attacks. Because of its uniquely thorough treatment of cyber deception, this book will serve as a timely contribution and valuable resource in this active field. The opening chapters introduce both cybersecurity in a manner suitable for game theorists and game theory as appropriate for cybersecurity professionals. Chapter Four then guides readers through the specific field of defensive cyber deception. A key feature of the remaining chapters is the development of a signaling game model for the species of leaky deception featured in honeypots and honeyfiles. This model is expanded to study interactions between multiple agents with varying abilities to detect deception. Game Theory for Cyber Deception will appeal to advanced undergraduates, graduate students, and researchers interested in applying game theory to cybersecurity. It will also be of value to researchers and professionals working on cybersecurity who seek an introduction to game theory.

The Many Facets of Complexity Science - In Memory of Professor Valentin Afraimovich (Hardcover, 1st ed. 2021): Dimitri... The Many Facets of Complexity Science - In Memory of Professor Valentin Afraimovich (Hardcover, 1st ed. 2021)
Dimitri Volchenkov
R3,373 Discovery Miles 33 730 Ships in 10 - 15 working days

This book explores recent developments in theoretical research and data analysis of real-world complex systems, organized in three parts, namely Entropy, information, and complexity functions Multistability, oscillations, and rhythmic synchronization Diffusions, rotation, and convection in fluids The collection of works devoted to the memory of Professor Valentin Afraimovich provides a deep insight into the recent developments in complexity science by introducing new concepts, methods, and applications in nonlinear dynamical systems covering physical problems and mathematical modelling relevant to economics, genetics, engineering vibrations, as well as classic problems in physics, fluid and climate dynamics, and urban dynamics. The book facilitates a better understanding of the mechanisms and phenomena in nonlinear dynamics and develops the corresponding mathematical theory to apply nonlinear design to practical engineering. It can be read by mathematicians, physicists, complex systems scientists, IT specialists, civil engineers, data scientists, and urban planners.

Symmetry Breaking (Hardcover, 3rd ed. 2021): Franco Strocchi Symmetry Breaking (Hardcover, 3rd ed. 2021)
Franco Strocchi
R3,643 Discovery Miles 36 430 Ships in 10 - 15 working days

The third edition of the by now classic reference on rigorous analysis of symmetry breaking in both classical and quantum field theories adds new topics of relevance, in particular the effect of dynamical Coulomb delocalization, by which boundary conditions give rise to volume effects and to energy/mass gap in the Goldstone spectrum (plasmon spectrum, Anderson superconductivity, Higgs phenomenon). The book closes with a discussion of the physical meaning of global and local gauge symmetries and their breaking, with attention to the effect of gauge group topology in QCD. From the reviews of the first edition: It is remarkable to see how much material can actually be presented in a rigorous way (incidentally, many of the results presented are due to Strocchi himself), yet this is largely ignored, the original heuristic derivations being, as a rule, more popular. - At each step he strongly emphasizes the physical meaning and motivation of the various notions introduced [...] a book that fills a conspicuous gap in the literature, and does it rather well. It could also be a good basis for a graduate course in mathematical physics. J.-P. Antoine, Physicalia 28/2, 2006 Despite many accounts in popular textbooks and a widespread belief, the phenomenon is rather subtle, requires an infinite set of degrees of freedom and an advanced mathematical setting of the system under investigation. [...] The mathematically oriented graduate student will certainly benefit from this thorough, rigorous and detailed investigation. G. Roepstorff, Zentralblatt MATH, Vol. 1075, 2006 From the reviews of the second edition: This second edition of Strocchi's Symmetry Breaking presents a complete, generalized and highly rigorous discussion of the subject, based on a formal analysis of conditions necessary for the mechanism of spontaneous symmetry breaking to occur in classical systems, as well as in quantum systems. [...] This book is specifically recommended for mathematical physicists interested in a deeper and rigorous understanding of the subject, and it should be mandatory for researchers studying the mechanism of spontaneous symmetry breaking. S. Hajjawi, Mathematical Reviews, 2008

Approximation Methods in Science and Engineering (Hardcover, 1st ed. 2020): Reza N. Jazar Approximation Methods in Science and Engineering (Hardcover, 1st ed. 2020)
Reza N. Jazar
R5,095 Discovery Miles 50 950 Ships in 12 - 17 working days

Approximation Methods in Engineering and Science covers fundamental and advanced topics in three areas: Dimensional Analysis, Continued Fractions, and Stability Analysis of the Mathieu Differential Equation. Throughout the book, a strong emphasis is given to concepts and methods used in everyday calculations. Dimensional analysis is a crucial need for every engineer and scientist to be able to do experiments on scaled models and use the results in real world applications. Knowing that most nonlinear equations have no analytic solution, the power series solution is assumed to be the first approach to derive an approximate solution. However, this book will show the advantages of continued fractions and provides a systematic method to develop better approximate solutions in continued fractions. It also shows the importance of determining stability chart of the Mathieu equation and reviews and compares several approximate methods for that. The book provides the energy-rate method to study the stability of parametric differential equations that generates much better approximate solutions.

Guide to Graph Colouring - Algorithms and Applications (Hardcover, 2nd ed. 2021): R.M.R. Lewis Guide to Graph Colouring - Algorithms and Applications (Hardcover, 2nd ed. 2021)
R.M.R. Lewis
R2,270 Discovery Miles 22 700 Ships in 12 - 17 working days

This textbook treats graph colouring as an algorithmic problem, with a strong emphasis on practical applications. The author describes and analyses some of the best-known algorithms for colouring graphs, focusing on whether these heuristics can provide optimal solutions in some cases; how they perform on graphs where the chromatic number is unknown; and whether they can produce better solutions than other algorithms for certain types of graphs, and why. The introductory chapters explain graph colouring, complexity theory, bounds and constructive algorithms. The author then shows how advanced, graph colouring techniques can be applied to classic real-world operational research problems such as designing seating plans, sports scheduling, and university timetabling. He includes many examples, suggestions for further reading, and historical notes, and the book is supplemented by an online suite of downloadable code. The book is of value to researchers, graduate students, and practitioners in the areas of operations research, theoretical computer science, optimization, and computational intelligence. The reader should have elementary knowledge of sets, matrices, and enumerative combinatorics.

Drop Heating and Evaporation: Analytical Solutions in Curvilinear Coordinate Systems (Hardcover, 1st ed. 2021): Gianpietro... Drop Heating and Evaporation: Analytical Solutions in Curvilinear Coordinate Systems (Hardcover, 1st ed. 2021)
Gianpietro Elvio Cossali, Simona Tonini
R2,938 Discovery Miles 29 380 Ships in 10 - 15 working days

This book describes analytical methods for modelling drop evaporation, providing the mathematical tools needed in order to generalise transport and constitutive equations and to find analytical solutions in curvilinear coordinate systems. Transport phenomena in gas mixtures are treated in considerable detail, and the basics of differential geometry are introduced in order to describe interface-related transport phenomena. One chapter is solely devoted to the description of sixteen different orthogonal curvilinear coordinate systems, reporting explicitly on the forms of their differential operators (gradient, divergent, curl, Laplacian) and transformation matrices. The book is intended to guide the reader from mathematics, to physical descriptions, and ultimately to engineering applications, in order to demonstrate the effectiveness of applied mathematics when properly adapted to the real world. Though the book primarily addresses the needs of engineering researchers, it will also benefit graduate students.

The Special Theory of Relativity - Einstein's World in New Axiomatics (Hardcover, 1st ed. 2019): Helmut Gunther, Volker... The Special Theory of Relativity - Einstein's World in New Axiomatics (Hardcover, 1st ed. 2019)
Helmut Gunther, Volker Muller
R4,436 Discovery Miles 44 360 Ships in 12 - 17 working days

This book discusses in detail the special theory of relativity without including all the instruments of theoretical physics, enabling readers who are not budding theoretical physicists to develop competence in the field. An arbitrary but fixed inertial system is chosen, where the known velocity of light is measured. With respect to this system a moving clock loses time and a moving length contracts. The book then presents a definition of simultaneity for the other inertial frames without using the velocity of light. To do so it employs the known reciprocity principle, which in this context serves to provide a definition of simultaneity in the other inertial frames. As a consequence, the Lorentz transformation is deduced and the universal constancy of light is established. With the help of a lattice model of the special theory of relativity the book provides a deeper understanding of the relativistic effects. Further, it discusses the key STR experiments and formulates and solves 54 problems in detail.

An Introduction to Element-Based Galerkin Methods on Tensor-Product Bases - Analysis, Algorithms, and Applications (Hardcover,... An Introduction to Element-Based Galerkin Methods on Tensor-Product Bases - Analysis, Algorithms, and Applications (Hardcover, 1st ed. 2020)
Francis X. Giraldo
R2,743 Discovery Miles 27 430 Ships in 10 - 15 working days

This book introduces the reader to solving partial differential equations (PDEs) numerically using element-based Galerkin methods. Although it draws on a solid theoretical foundation (e.g. the theory of interpolation, numerical integration, and function spaces), the book's main focus is on how to build the method, what the resulting matrices look like, and how to write algorithms for coding Galerkin methods. In addition, the spotlight is on tensor-product bases, which means that only line elements (in one dimension), quadrilateral elements (in two dimensions), and cubes (in three dimensions) are considered. The types of Galerkin methods covered are: continuous Galerkin methods (i.e., finite/spectral elements), discontinuous Galerkin methods, and hybridized discontinuous Galerkin methods using both nodal and modal basis functions. In addition, examples are included (which can also serve as student projects) for solving hyperbolic and elliptic partial differential equations, including both scalar PDEs and systems of equations.

Mathematical Modeling of Mitochondrial Swelling (Hardcover, 1st ed. 2018): Messoud Efendiev Mathematical Modeling of Mitochondrial Swelling (Hardcover, 1st ed. 2018)
Messoud Efendiev
R1,536 Discovery Miles 15 360 Ships in 10 - 15 working days

The mathematical models considered in this book can help to understand the swelling of mitochondria. For the first time, it presents new mathematical models of mitochondrial swelling that take into account, in particular, spatial effects. The results presented here could make it possible to predict properties of the underlying biological mechanisms. Taking into account that mitochondria could move within a cell, lead to a PDE-PDE model. The book discusses the well-posedness and long-term dynamics of solutions, depending on boundary conditions reflecting the in vitro and in vivo cases. These analytical and numerical results have inspired colleagues from the Institute of Pharmacology and Toxicology of the Helmholtz Center Munich to design new experiments justifying the theoretical and numerical results that are obtained. The book is intended for graduates students and researchers with a solid mathematical background and an interest in cell biology.

Chaos, Complexity and Leadership 2020 - Application of Nonlinear Dynamics from Interdisciplinary Perspective (Hardcover, 1st... Chaos, Complexity and Leadership 2020 - Application of Nonlinear Dynamics from Interdisciplinary Perspective (Hardcover, 1st ed. 2021)
Sefika Sule Ercetin, Suay Nilhan Acikalin, Emir Vajzovic
R4,741 Discovery Miles 47 410 Ships in 12 - 17 working days

This book analyzes a range of new developments in various fields concerning the concepts of chaos and complexity theory. The proceedings of the 7th International Symposium on Chaos, Complexity and Leadership feature newly developed concepts involving various research methodologies for identifying chaos and complexity in different fields of the sciences and leadership. In addition, it explores chaotic and complex systems from all fields of knowledge in order to stake a claim of prevalence of compatibility between knowledge fields. Particular emphasis is placed on exploring non-linearity in order to open a discussion on new approaches to and perspectives on chaos, complexity and leadership. Readers will find coverage of important events that have recently taken place in our world, regardless of whether they were social, political, economic or scientific in nature. The book explores diverse aspects of and issues related to the effects of chaos and complexity in the world; discusses the application of nonlinear dynamics in order to arrive at transformational policies; and offers projections of tomorrow's world using an interdisciplinary approach. Though primarily intended for readers with an interest in nonlinear science, thanks to its focus on the application of chaos and complexity to other disciplines, the book appeals to a broad readership.

The Physics and Art of Photography, Volume 2 - Energy and Color (Hardcover): John Beaver The Physics and Art of Photography, Volume 2 - Energy and Color (Hardcover)
John Beaver
R2,234 Discovery Miles 22 340 Ships in 10 - 15 working days

This book uses art photography as a point of departure for learning about physics, while also using physics as a point of departure for asking fundamental questions about the nature of photography as an art. Although not a how-to manual, the topics center around hands-on applications, sometimes illustrated by photographic processes that are inexpensive and easily accessible to students (including a versatile new process developed by the author, and first described in print in this series). A central theme is the connection between the physical interaction of light and matter on the one hand, and the artistry of the photographic processes and their results on the other. One half of Energy and Color focuses on the physics of energy, power, illuminance, and intensity of light, and how these relate to the photographic exposure, including a detailed example that follows the emission of light from the sun all the way through to the formation of the image in the camera. These concepts are described in both their traditional manner, but also using very-low sensitivity photography as an example, which brings the physical concepts to the fore in a visible way, whereas they are often hidden with ordinary high-speed photographic detectors. Energy and Color also considers color in terms of the spectrum of light, how it interacts with the subject, and how the camera's light detector interacts with the image focused upon it. But of equal concern is the only partially-understood and sometimes unexpected ways in which the human eye/brain interprets this spectral stimulus as color. The volume covers basic photographic subjects such as shutter, aperture, ISO, metering and exposure value, but also given their relations to the larger themes of the book less familiar topics such as the Jones-Condit equation, Lambertian versus isotropic reflections, reflection and response curves, and the opponent-process model of color perception. Although written at a beginning undergraduate level, the topics are chosen for their role in a more general discussion of the relation between science and art that is of interest to readers of all backgrounds and levels of expertise.

Modelling Physics with Microsoft Excel (Hardcover): Bernard V Liengme Modelling Physics with Microsoft Excel (Hardcover)
Bernard V Liengme
R3,070 Discovery Miles 30 700 Ships in 10 - 15 working days

This book demonstrates some of the ways in which Microsoft Excel (R) may be used to solve numerical problems in the field of physics.

Complex Networks and Their Applications VIII - Volume 2 Proceedings of the Eighth International Conference on Complex Networks... Complex Networks and Their Applications VIII - Volume 2 Proceedings of the Eighth International Conference on Complex Networks and Their Applications COMPLEX NETWORKS 2019 (Hardcover, 1st ed. 2020)
Hocine Cherifi, Sabrina Gaito, Jose Fernendo Mendes, Esteban Moro, Luis Mateus Rocha
R5,829 Discovery Miles 58 290 Ships in 10 - 15 working days

This book highlights cutting-edge research in the field of network science, offering scientists, researchers, students, and practitioners a unique update on the latest advances in theory and a multitude of applications. It presents the peer-reviewed proceedings of the Eighth International Conference on Complex Networks and their Applications (COMPLEX NETWORKS 2019), which took place in Lisbon, Portugal, on December 10-12, 2019. The carefully selected papers cover a wide range of theoretical topics such as network models and measures; community structure, and network dynamics; diffusion, epidemics, and spreading processes; resilience and control as well as all the main network applications, including social and political networks; networks in finance and economics; biological and neuroscience networks; and technological networks.

Fermions and Anomalies in Quantum Field Theories (Hardcover, 1st ed. 2023): L. Bonora Fermions and Anomalies in Quantum Field Theories (Hardcover, 1st ed. 2023)
L. Bonora
R3,401 Discovery Miles 34 010 Ships in 10 - 15 working days

This book presents a modern view of anomalies in quantum field theories. It is divided into six parts. The first part is preparatory covering an introduction to fermions, a description of the classical symmetries, and a short introduction to conformal symmetry. The second part of the book is devoted to the relation between anomalies and cohomology. The third part deals with perturbative methods to compute gauge, diffeomorphism and trace anomalies. In the fourth part the same anomalies are calculated with non-perturbative heat-kernel-like methods. Part five is devoted to the family's index theorem and its application to chiral anomalies, and to the differential characters and their applications to global anomalies. Part six is devoted to special topics including a complete calculation of trace and diffeomorphism anomalies of a Dirac fermion in a MAT background in two dimensions, Wess-Zumino terms in field theories, sigma models, their local and global anomalies and their cancelation, and finally the analysis of the worldsheet, sigma model, and target space anomalies of string and superstring theories. The book is targeted to researchers and graduate students.

An Introduction to State Space Time Series Analysis (Hardcover, New): Jacques J.F. Commandeur, Siem Jan Koopman An Introduction to State Space Time Series Analysis (Hardcover, New)
Jacques J.F. Commandeur, Siem Jan Koopman
R1,910 Discovery Miles 19 100 Ships in 12 - 17 working days

Providing a practical introduction to state space methods as applied to unobserved components time series models, also known as structural time series models, this book introduces time series analysis using state space methodology to readers who are neither familiar with time series analysis, nor with state space methods. The only background required in order to understand the material presented in the book is a basic knowledge of classical linear regression models, of which brief review is provided to refresh the reader's knowledge. Also, a few sections assume familiarity with matrix algebra, however, these sections may be skipped without losing the flow of the exposition.
The book offers a step by step approach to the analysis of the salient features in time series such as the trend, seasonal, and irregular components. Practical problems such as forecasting and missing values are treated in some detail. This useful book will appeal to practitioners and researchers who use time series on a daily basis in areas such as the social sciences, quantitative history, biology and medicine. It also serves as an accompanying textbook for a basic time series course in econometrics and statistics, typically at an advanced undergraduate level or graduate level.

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