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Advanced Linear Algebra
For the third edition, the author has added a new chapter on associative algebras that includes the well known characterizations of the finite-dimensional division algebras over the real field (a theorem of Frobenius) and over a finite field (Wedderburn's theorem); polished and refined some arguments (such as the discussion of reflexivity, the rational canonical form, best approximations and the definitions of tensor products); upgraded some proofs that were originally done only for finite-dimensional/rank cases; added new theorems, including the spectral mapping theorem; considerably expanded the reference section with over a hundred references to books on linear algebra.
Advanced Linear Algebra
The first part of the book contains a careful but rapid discussion of the basics of linear algebra, including vector spaces, linear transformations, quotient spaces, and isomorphism theorems. The author then proceeds to modules, emphasizing a comparison with vector spaces. A thorough discussion of inner product spaces, eigenvalues, eigenvectors, and finite dimensional spectral theory follows, culminating in the finite dimensional spectral theorem for normal operators. The second part of the book is a collection of topics, including metric vector spaces, metric spaces, Hilbert spaces, tensor products, and affine geometry. The last chapter discusses the umbral calculus, an area of modern algebra with many important applications.
Advanced Experimental Methods For Noise Research in Nanoscale Electronic Devices
The approach described is to create methods for experimental observations of noise sources, their localization and their frequency spectrum, voltage-current and thermal dependences. Our current knowledge of measurement methods for mesoscopic devices is summarized to identify directions for future research, related to downscaling effects. The directions for future research into fluctuation phenomena in quantum dot and quantum wire devices are specified. Nanoscale electronic devices will be the basic components for electronics of the 21st century. From this point of view the signal-to-noise ratio is a very important parameter for the device application. Since the noise is also a quality and reliability indicator, experimental methods will have a wide application in the future.
Advanced Environmental Monitoring
This book deals with recent developments and applications of environmental monitoring technologies, with emphasis on optical and biological methods that are rapidly progressing through the integration of emerging technologies from various disciplines.
Advanced computer simulation approaches for soft matter sciences II
This series presents critical reviews of the present and future trends in polymer and biopolymer science including chemistry, physical chemistry, physics and materials science. It is addressed to all scientists at universities and in industry who wish to keep abreast of advances in the topics covered.The second volume contains four contributions, and has a very strong topical focus on long range interactions.
Advanced computer simulation approaches for soft matter sciences I
Soft matter science is nowadays an acronym for an increasingly important class of materials, which ranges from polymers, liquid crystals, colloids up to complex macromolecular assemblies, covering sizes from the nanoscale up the microscale. Computer simulations have proven as an indispensable, if not the most powerful, tool to understand properties of these materials and link theoretical models to experiments. In this first volume of a small series recognized leaders of the field review advanced topics and provide critical insight into the state-of-the-art methods and scientific questions of this lively domain of soft condensed matter research.
Adaptive Mesh Refinement - Theory and Applications; Proceedings of the Chicago Workshop on Adaptive Mesh Refinement Methods, Sept. 3-5, 2003
Advanced numerical simulations that use adaptive mesh refinement (AMR) methods have now become routine in engineering and science. Originally developed for computational fluid dynamics applications these methods have propagated to fields as diverse as astrophysics, climate modeling, combustion, biophysics and many others. The underlying physical models and equations used in these disciplines are rather different, yet algorithmic and implementation issues facing practitioners are often remarkably similar. Unfortunately, there has been little effort to review the advances and outstanding issues of adaptive mesh refinement methods across such a variety of fields. This book attempts to bridge this gap. The book presents a collection of papers by experts in the field of AMR who analyze past advances in the field and evaluate the current state of adaptive mesh refinement methods in scientific computing.
Acoustic sensing techniques for the shallow water environment : Inversion methods and experiments
This volume contains the collection of papers from the second workshop on Experimental Acoustic Inversion Techniques for Exploration of the Shallow Water Environment. Acoustic techniques provide the most effective means for remote sensing of ocean and sea floor processes, and for probing the structure beneath the sea floor. No other energy propagates as efficiently in the ocean: radio waves and visible light are severely limited in range because the ocean is a highly conductive medium. However, sound from breaking waves and coastal shipping can be heard throughout the ocean, and marine mammals communicate acoustically over basin scale distances.
Accelerator-Driven System at Kyoto University Critical Assembly
This book is a unique compilation of experimental benchmark analyses of the accelerator-driven system (ADS) at the Kyoto University Critical Assembly (KUCA) on the most recent advances in the development of computational methods.
Academic Scientists at Work
This book focuses on the three aspects of promotion in an academic setting: Scholarship, Teaching, and Service. Templates and worksheets designed to help you navigate your career with point-by-point instructions on how to complete them are provided. In addition to updating the contents of the previous version, this second edition includes a dozen articles written by the authors on managing your career that first appeared in Science's Next Wave.
Academic Integrity in Canada : An Enduring and Essential Challenge
Firmly grounded in the scholarly literature globally, it engages with the experience of local practicioners. It presents aspects of academic integrity that is specific to Canada, such as the existence of an "honour culture", rather than relying on an "honour code". It also includes Indigenous voices and perspectives that challenge traditional understandings of intellectual property, as well as new understandings that have arisen as a consequence of Covid-19 and the significant shift to online and remote learning.
A Short Course on Operator Semigroups
Gives a streamlined and systematic introduction to strongly continuous semigroups of bounded linear operators on Banach spaces. It treats the fundamental Hille-Yosida generation theorem as well as perturbation and approximation theorems for generators and semigroups.
A Rosicrucian Utopia in Eighteenth-Century Russia : The Masonic Circle of N.I. Novikov
The author undertakes an investigation into the history of Russian Freemasonry that has not been attempted previously. Her premise is that the Russian Enlightenment shows peculiar features, which prevent the application of the interpretative framework commonly used for the history of western thought. The author deals with the development of early Russian masonry, the formation of the Novikov circle in Moscow, the ‘programme’ of Rosicrucianism and the character of its Russian variant and, finally, the clash between the Rosicrucians and the State. The author concludes that the defenders of the Ancien Régime were not wrong. In fact the democratic behaviour, the critical attitude, the practice of participation, the freedom of thought, the tolerance for the diversity, the search for a direct communication with the divinity.
A rose armed with thorns : Spinoza’s Philosophy under a novel lens
presents a systemic analysis of Spinoza’s philosophy and challenges the traditional views. It deals with Spinoza’s concepts of substance, truth conditions, attributes, and the first, second, and supreme grades of knowledge. Based upon an analysis of the relevant details in all of Spinoza’s philosophical works, reveals many important points, including the following: Spinoza’s system is not, nor is meant to be, a foundational-deductive system but was meant to be a coherent system of a network model. Spinoza’s reality is not made in the image of a mathematical model. Imaginatio, the first grade of knowledge, and ratio, the second grade, are parts or properties of the supreme grade of knowledge, scientia intuitiva, which is their essence.
A Remarkable Collection of Babylonian Mathematical Texts : Manuscripts in the Schøyen Collection: Cuneiform Texts I
This new text from Jöran Friberg, the leading expert on Babylonian mathematics, presents 130 previously unpublished mathematical clay tablets from the Norwegian Schøyen collection, and provides a synthesis of the author's most important work. Through a close study of these tablets, Friberg has made numerous amazing discoveries, including the first known examples of pre-Classical labyrinths and mazes, a new understanding of the famous table text Plimpton 322, and new evidence of Babylonian familiarity with sophisticated mathematical ideas and objects, such as the three-dimensional Pythagorean equation and the icosahedron.
A Natural Introduction to Probability Theory
According to Leo Breiman (1968), probability theory has a right and a left hand. The right hand refers to rigorous mathematics, and the left hand refers to ‘pro- bilistic thinking’. The combination of these two aspects makes probability theory one of the most exciting ?elds in mathematics. One can study probability as a purely mathematical enterprise, but even when you do that, all the concepts that arisedo haveameaningontheintuitivelevel.Forinstance,wehaveto de?newhat we mean exactly by independent events as a mathematical concept, but clearly, we all know that when we ?ip a coin twice, the event that the ?rst gives heads is independent of the event that the second gives tails.
A Multidisciplinary Approach to Capability in Age and Ageing
This book provides insight on how to interpret capability in ageing – one’s individual ability to perform actions in order to reach goals one has reason to value – from a multidisciplinary approach. the book describes this demographic trends as well as the large global challenges and important societal implications this will have such as a worldwide increase in the number of persons affected with dementia, and in the ratio of retired persons to those still in the labor market. Through contributions from many different research areas, it discussed how capability depends on interactions between the individual (e.g. health, genetics, personality, intellectual capacity), environment (e.g. family, friends, home, work place), and society (e.g. political decisions, ageism, historical period).
A Modern Theory of Factorial Design
Factorial design plays a fundamental role in efficient and economic experimentation with multiple input variables and is extremely popular in various fields of application, including engineering, agriculture, medicine and life sciences. Factorial experiments are often used in case studies in quality management and Design for Six Sigma (DFSS).Factorial design plays a fundamental role in efficient and economic experimentation with multiple input variables and is extremely popular in various fields of application, including engineering, agriculture, medicine and life sciences. Factorial experiments are often used in case studies in quality management and Design for Six Sigma (DFSS).
A Modern Introduction to Probability and Statistics : Understanding Why and How
A Modern Introduction to Probability and Statistics has numerous quick exercises to give direct feedback to the students. In addition the book contains over 350 exercises, half of which have answers, of which half have full solutions. A website at www.springeronline.com/1-85233-896-2 gives access to the data files used in the text, and, for instructors, the remaining solutions. The only pre-requisite for the book is a first course in calculus; the text covers standard statistics and probability material, and develops beyond traditional parametric models to the Poisson process, and on to useful modern methods such as the bootstrap.
A Geometric Approach to Differential Forms
The modern subject of differential forms subsumes classical vector calculus. This text presents differential forms from a geometric perspective accessible at the undergraduate level. The book begins with basic concepts such as partial differentiation and multiple integration and gently develops the entire machinery of differential forms. Each new concept is presented with a natural picture that students can easily grasp. Algebraic properties then follow. This facilitates the development of differential forms without assuming a background in linear algebra. Throughout the text, emphasis is placed on applications in 3 dimensions, but all definitions are given so as to be easily generalized to higher dimensions. A centerpiece of the text is the generalized Stokes' theorem. Although this theorem implies all of the classical integral theorems of vector calculus, it is far easier for students to both comprehend and remember.
