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Mathematical Methods for Engineers and Geoscientists
This book introduces and explains classical and modern mathematical procedures as applied to the real problems confronting engineers and geoscientists. Written in a manner that is understandable for students across the breadth of their studies, it lays out the foundations for mastering difficult and sometimes confusing mathematical methods.
Magnetism : From Fundamentals to Nanoscale Dynamics
Gives an comprehensive account of magnetism, spanning the historical development, the physical foundations and the continuing research underlying the field, one of the oldest yet still vibrant field of physics. It covers both the classical and quantum mechanical aspects of magnetism and novel experimental techniques. Perhaps uniquely, it also discusses spin transport and magnetization dynamics phenomena associated with atomically and spin engineered nano-structures against the backdrop of spintronics and magnetic storage and memory applications.
Logical Foundations for Rule-Based Systems
Presents logical foundations for rule-based systems, as seen by the Author. An attempt has been made to provide an in-depth discussion of logical and other aspects of such systems, including languages for knowledge representation, inference mechanisms, inference control, design and verification.
Lise Meitner and the Dawn of the Nuclear Age
Documenting the extraordinary life of an aspiring woman scientist whose life was filled with adversity. Surviving both World Wars and gender discrimination, Meitner was a pioneer at the forefront of her discipline involving the study of radio-elements and nuclear fission.
Linear Programming : Foundations and Extensions
Linear Programming: Foundations and Extensions is an introduction to the field of optimization. The book emphasizes constrained optimization, beginning with a substantial treatment of linear programming, and proceeding to convex analysis, network flows, integer programming, quadratic programming, and convex optimization. The book is carefully written. Specific examples and concrete algorithms precede more abstract topics. Topics are clearly developed with a large number of numerical examples worked out in detail.
Linear Estimation and Detection in Krylov Subspaces
Focuses on the foundations of linear estimation theory which is essential for effective signal processing. In its first part, it gives a comprehensive overview of several key methods like reduced-rank signal processing and Krylov subspace methods of numerical mathematics. Based on the derivation of the multistage Wiener filter in its most general form, the relationship between statistical signal processing and numerical mathematics is presented. In the second part, the theory is applied to iterative multiuser detection receivers (Turbo equalization) which are typically desired in wireless communication systems.
Laws of Nature
The book is concerned with the laws of nature and in particular with the laws of physics. The authors discuss three important questions: First, whether the observed regularities are based on strict "laws of nature" that hold rigorously and without any exception. Second, what we call a "law of nature" is studied by comparing this concept with invariance principles, causality principles, teleological principles and means of predicting future events. Finally, on the basis of these investigations the authors treat the ambitious and intricate third question, why the laws of nature hold. Are there rational reasons for this largely unexplained phenomenon? This book addresses students as well as researchers. It will be an excellent reference for those interested in the philosophical foundations of the natural sciences.
Lattice Boltzmann Modeling : An Introduction for Geoscientists and Engineers
Lattice Boltzmann models have a remarkable ability to simulate single- and multi-phase fluids and transport processes within them. A rich variety of behaviors, including higher Reynolds numbers flows, phase separation, evaporation, condensation, cavitation, buoyancy, and interactions with surfaces can readily be simulated. This book provides a basic introduction that emphasizes intuition and simplistic conceptualization of processes. It avoids the more difficult mathematics that underlies LB models. The model is viewed from a particle perspective where collisions, streaming, and particle-particle/particle-surface interactions constitute the entire conceptual framework. Beginners and those with more interest in model application than detailed mathematical foundations will find this a powerful "quick start" guide. Example simulations, exercises, and computer codes are included. Working code is provided on the Internet.
Lacroix and the Calculus
Lacroix and the Calculus is the first major study of Lacroix’s large Traité. It uses the unique and massive bibliography given by Lacroix to explore late 18th-century calculus, and the way it is reflected in Lacroix’s account. Several particular aspects are addressed in detail, including: the foundations of differential calculus, analytic and differential geometry, conceptions of the integral, and types of solutions of differential equations (singular/complete/general integrals, geometrical interpretations, and generality of arbitrary functions).
Labyrinth of Thought : A History of Set Theory and Its Role in Modern Mathematics
Labyrinth of Thought discusses the emergence and development of set theory and the set-theoretic approach to mathematics during the period 1850-1940. Rather than focusing on the pivotal figure of Georg Cantor, it analyzes his work and the emergence of transfinite set theory within the broader context of the rise of modern mathematics. The text has a tripartite structure.A new Epilogue for this second edition offers further reflections on the foundations of set theory, including the "dichotomy conception" and the well-known iterative conception.
La loi de la gravitation universelle Newton, Euler et Laplace : Le cheminement d’une révolution scientifique vers une science normale = The law of universal gravitation Newton, Euler and Laplace : The progress of a scientific revolution towards a normal science
An analysis of Newton's ideas dismisses this hypothesis by the simple fact that the Principia sought to demonstrate the fallacy of earlier approaches. However, Newton suffered a failure in the application of his theory of gravitation to the explanation of the movement of the Moon, failure which marked the development of celestial mechanics throughout the 18th century. Clairaut, d'Alembert and Euler doubted the validity of Newtonian law almost at the same time and their ideas advanced celestial mechanics which reached the state of "normal science" with Laplace's treatise on celestial mechanics, a century after Newton.
Knowledge-Driven Computing : Knowledge Engineering and Intelligent Computations
Knowledge-Driven Computing constitutes an emerging area of intensive research located at the intersection of Computational Intelligence and Knowledge Engineering with strong mathematical foundations. It embraces methods and approaches coming from diverse computational paradigms, such as evolutionary computation and nature-inspired algorithms, logic programming and constraint programming, rule-based systems, fuzzy sets and many others. The use of various knowledge representation formalisms and knowledge processing and computing paradigms is oriented towards the efficient resolution of computationally complex and difficult problems.
Completeness theory for propositional logics
Completeness is one of the most important notions in logic and the foundations of mathematics. Many variants of the notion have been de?ned in literature. We shallconcentrateonthesevariants,andaspects,of completenesswhicharede?ned in propositional logic. Completeness means the possibility of getting all correct and reliable sc- mata of inference by use of logical methods. The word ‘all’, seemingly neutral, is here a crucial point of distinction. Assuming the de?nition as given by E. Post we get, say, a global notion of completeness in which the reliability refers only to syntactic means of logic and outside the correct schemata of inference there are only inconsistent ones. It is impossible, however, to leave aside local aspects of the notion when we want to make it relative to some given or invented notion of truth. Completeness understood in this sense is the adequacy of logic in relation to some semantics, and the change of the logic is accompanied by the change of its semantics.
Community and Identity in Contemporary Technosciences
This book provides new thinking on scientific identity formation. It thoroughly interrogates the concepts of community and identity, including both historical and contemporaneous analyses of several scientific fields.
Clinical Bioethics : A Search for the Foundations
Clinical Bioethics. A Search for the Foundations compares major theoretical models in the foundation of clinical bioethics and explains medicine as a normative practice. The goals of medicine are discussed with particular reference to the subjectivisation of health and the rationalisation of health care institutions. This volume provides a consistent reconstruction of bioethical judgment both at the level of epistemological statute and institutional context, i.e. clinical ethics committees and clinical ethics consultation.
Canonical Perturbation Theories, Degenerate Systems, and Resonance
Canonical Perturbation Theories, Degenerate Systems and Resonance presents the foundations of Hamiltonian Perturbation Theories used in Celestial Mechanics, emphasizing the Lie Series Theory and its application to degenerate systems and resonance. This book is the complete text on the subject including advanced topics in Hamiltonian Mechanics, Hori’s Theory, and the classical theories of Poincaré, von Zeipel-Brouwer, and Delaunay.
Buchi neri nel mio bagno di schiuma : L’enigma di Einstein = Black holes in my bubble bath : Einstein's riddle
Einstein's Enigma, or black holes in my foam bath, tells the story of the theory of gravitation, from its beginnings to the latest developments in astrophysics, focusing on Albert Einstein's theory of general relativity and the physics of black holes. Through engaging conversations and diagrams scribbled on paper napkins, the rudiments of relativity, space-time and many aspects of modern physics follow one another. In skits narrated with pedagogical skill and remarkable literary talent, the reader will come across the informal lessons that a cosmopolitan astrophysicist gives to his friend Alfie, a free lance organizer of research projects. Join in the intellectual fun and get excited with sparkling ideas, while with your imagination you enjoy a relaxing soak in this magical tub!
Berufliche passagen im lebenslauf : berufsbildungs- und transitionsforschung in der Schweiz = Vocational passages in the CV : Vocational training and transition research in Switzerland
During the transition from school to work, important groundwork is laid that prepares the further course of a person's life. In addition, this volume presents new results from diverse transition research from all over Switzerland, which are based on various disciplines such as psychology, sociology, educational sciences or educational economics. For this purpose, theoretical foundations and empirical evidence for the analysis and control of significant passages in the life course are developed.
Basic bundle theory and K-Cohomology invariants
Based on several recent courses given to mathematical physics students, this volume is an introduction to bundle theory with the aim to provide newcomers to the field with solid foundations in topological K-theory. A fundamental theme, emphasized in the book, centers around the gluing of local bundle data related to bundles into a global object. One renewed motivation for studying this subject, which has developed for almost 50 years in many directions, comes from quantum field theory, especially string theory, where topological invariants play an important role.
Astrophysics Update 2
"Astrophysics Updates" is intended to serve the information needs of professional astronomers and postgraduate students about areas of astronomy, astrophysics and cosmology that are rich and active research spheres. Observational methods and the latest results of astronomical research are presented as well as their theoretical foundations and interrelations. The contributed commissioned articles are written by leading exponents in a format that will appeal to professional astronomers and astrophysicists who are interested in topics outside their own specific areas of research. This collection of timely reviews may also attract the interest of advanced amateur astronomers seeking scientifically rigorous coverage.
