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Classical geometries in modern contexts : Geometry of real inner product spaces
This book is based on real inner product spaces X of arbitrary (finite or infinite) dimension greater than or equal to 2. With natural properties of (general) translations and general distances of X, euclidean and hyperbolic geometries are characterized.
Clashes of Knowledge : Orthodoxies and Heterodoxies in Science and Religion
"Clashes of Knowledge" is the first volume of a series called "Knowledge and Space" dealing with spatial disparities of knowledge and the impact of the spatial context on the production and application of knowledge. The contributions in this book explore the conflicts between various types of knowledge, especially between orthodox and heterodox knowledge systems, which range from religious fundamentalism to heresies within the scientific community itself.
Chemistry from First Principles
This book examines the appearance of matter in its most primitive form, from the vacuum and the diversity that results from the fusion of elementary units in the genesis of atomic matter; considers the empirical rules of chemical affinity that regulate the synthesis and properties of molecular matter; analyzes the compatibility of the theories of chemistry with the quantum and relativity theories of physics; formulates a consistent theory, based on clear physical pictures and manageable mathematics, to account for chemical concepts such as the structure and stability of atoms and molecules, the periodicity of nuclides and elements, valence states, activation and chemical reactivity, electronegativity and general covalency, the exclusion principle, electronic energy, orbital angular momentum and spin in relation to molecular shape, torsional rigidity, chirality and molecular modeling; explains the self-similarity between space-time, nuclear structure, covalent assembly, biological growth, planetary systems and galactic conformation.
Challenges and negotiations for women in higher education
There is much ambivalence in women’s experience of the academy as teachers and students. Although today many more women follow academic careers than in the past, they do not find the welcome that they had hoped for and expected. Additionally, women students find that whilst they can now enter through the doors of universities, academic space remains embedded in structures and cultures of gender and social class. This book is a clear and accessible exploration of lifelong learning and educational opportunities for women in higher education. It has been developed from work undertaken by members of the Women in Higher Education Network with chapters organised in three thematic sections: Ambivalent Positions in the Academy / Process and Pedagogy at Work / Career – Identity – Home
Celestial Mechanics : The Waltz of the Planets
Contents are divided into major topics where the three "souls" of modern celestial mechanics (dynamical systems, Solar System and stellar systems, spaceflight dynamics) play a major role.
Catastrophic Events Caused by Cosmic Objects
Many times all of us could hear from mass media that an asteroid approached and swept past the Earth. Such an asteroid or comet will inevitably strike the planet some day. This volume considers hazards due to collisions with cosmic objects, particularly in light of recent investigations of impacts by the authors. Each chapter written by an expert contains an overview of an aspect and new findings in the field. The main hazardous effects – cratering, shock, aerial and seismic waves, fires, ejection of dust and soot, tsunami are described and numerically estimated. Numerical simulations of impacts and impact consequences have received much attention in the book. Fairly small impacting objects 50 -100 m in diameter pose a real threat to humanity and their influence on the atmosphere and ionosphere is emphasized.
Cassini at Saturn- Huygens Results
Cassini At Saturn – Huygens Results brings the story of the Cassini-Huygens mission and their joint exploration of the Saturnian system right up to date. Cassini entered orbit around Saturn June 2004 so this update includes 8 months of scientific data available for review, including the most spectacular images of Saturn, its rings and satellites ever obtained by a space mission. As the Cassini spacecraft approached its destination in spring 2004, the quality of the images already being returned by the spacecraft clearly demonstrated the spectacular nature of the close-range views that will be obtained. The book contains a 16-page colour section, comprising a carefully chosen selection of the most stunning images to be released during the spacecraft’s initial period of operation.
Calculus and mechanics on two-point homogenous riemannian spaces
The present monograph gives a short and concise introduction to classical and quantum mechanics on two-point homogenous Riemannian spaces, with empahsis on spaces with constant curvature. Chapter 1-4 provide the basic notations from differential geometry for studying two-body dynamics in these spaces. Chapter 5 deals with the problem of finding explicitly invariant expressions for the two-body quantum Hamiltonian. Chapter 6 addresses one-body problems in a central potential. Chapter 7 studies the classical counterpart of the quantum system of chapter 5. Chapter 8 investigates some applications in the quantum realm, namely for the coulomb and oscillator potentials.
C*-algebras and Elliptic Theory II
This book consists of a collection of original, refereed research and expository articles on elliptic aspects of geometric analysis on manifolds, including singular, foliated and non-commutative spaces. There are contributions from leading specialists, and the book maintains a reasonable balance between research, expository and mixed papers.
Buildings : Theory and Applications
This book treats Jacques Tits's beautiful theory of buildings, making that theory accessible to readers with minimal background. It includes all the material of the earlier book Buildings by the second-named author, published by Springer-Verlag in 1989, which gave an introduction to buildings from the classical (simplicial) point of view. This new book also includes two other approaches to buildings, which nicely complement the simplicial approach: On the one hand, buildings may be viewed as abstract sets of chambers with a Weyl-group-valued distance function; this point of view has become increasingly important in the theory and applications of buildings. On the other hand, buildings may be viewed as metric spaces. Beginners can still use parts of the new book as a friendly introduction to buildings, but the book also contains valuable material for the active researcher.
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!
Braid Groups
Braids and braid groups have been at the heart of mathematical development over the last two decades. Braids play an important role in diverse areas of mathematics and theoretical physics. The special beauty of the theory of braids stems from their attractive geometric nature and their close relations to other fundamental geometric objects, such as knots, links, mapping class groups of surfaces, and configuration spaces. In this presentation the authors thoroughly examine various aspects of the theory of braids, starting from basic definitions and then moving to more recent results. The advanced topics cover the Burau and the Lawrence--Krammer--Bigelow representations of the braid groups, the Alexander--Conway and Jones link polynomials, connections with the representation theory of the Iwahori--Hecke algebras, and the Garside structure and orderability of the braid groups.
Bone Morphogenetic Proteins : From Local to Systemic Therapeutics
Tissue engineering is gaining interest as it is applied for regeneration of organs to attain their lost function. Although resorbable scaffolds and progenitor cell types are required principles to engineer a functional tissue locally, the inductive signal is a prerequisite to trigger the growth and differentiation of responding cells in space and time. Bone morphogenetic proteins (BMPs), also called growth and differentiation factors (GDFs), originally identified from bone have been successfully used to regenerate the bone in humans. Most recent preclinical data suggests that BMPs have a potential to provide protection against inflammation and fibrosis in acute and chronic injury of parenchymal tissues when applied systemically to sustain the function of kidney and liver. The application of BMPs from a local to systemic utility is a rapidly growing field, gaining interest among researchers and biotech entrepreneurs.
Biorthogonal Systems in Banach Spaces
The main theme of this book is the relation between the global structure of Banach spaces and the various types of generalized "coordinate systems" - or "bases" - they possess. In this book, the authors systematically investigate the concepts of Markushevich bases, fundamental systems, total systems and their variants.
Beyond partial differential equations : On linear and Quasi-Linear abstract hyperbolic evolution equations
The present volume is self-contained and introduces to the treatment of linear and nonlinear (quasi-linear) abstract evolution equations by methods from the theory of strongly continuous semigroups.
Basic Real Analysis
Basic Real Analysis and Advanced Real Analysis (available separately or together as a Set) systematically develop those concepts and tools in real analysis that are vital to every mathematician, whether pure or applied, aspiring or established. These works present a comprehensive treatment with a global view of the subject, emphasizing the connections between real analysis and other branches of mathematics.
Basic principles and applications of probability theory
This introductory chapter discusses such notions as determinism, chaos and randomness, p- dictibility and unpredictibility, some initial approaches to formalizing r- domness and it surveys certain problems that can be solved by probability theory. This will perhaps give one an idea to what extent the theory can - swer questions arising in speci?c random occurrences and the character of the answers provided by the theory. 1. 1 The Nature of Randomness The phrase “by chance” has no single meaning in ordinary language. For instance, it may mean unpremeditated, nonobligatory, unexpected, and so on. Its opposite sense is simpler: “not by chance” signi?es obliged to or bound to (happen). In philosophy, necessity counteracts randomness. Necessity signi?es conforming to law – it can be expressed by an exact law. The basic laws of mechanics, physics and astronomy can be formulated in terms of precise quantitativerelationswhichmustholdwithironcladnecessity.
Basic Notions of Algebra
Aims to present a general survey of algebra, of its basic notions and main branches.Those parts of the book devoted to the systematic treatment of notions and results of algebra make very limited demands on the reader: we presuppose only that the reader knows calculus, analytic geometry and linear algebra in the form taught in many high schools and colleges. The extent of the prerequisites required in our treatment of examples is harder to state; an acquaintance with projective space, topological spaces, differentiable and complex analytic manifolds and the basic theory of functions of a complex variable is desirable, but the reader should bear in mind that difficulties arising in the treatment of some specific example are likely to be purely local in nature, and not to affect the understanding of the rest of the book.
Basic Algebra
Basic Algebra and Advanced Algebra systematically develop concepts and tools in algebra that are vital to every mathematician, whether pure or applied, aspiring or established. Together, the two books give the reader a global view of algebra and its role in mathematics as a whole.Basic Algebra presents the subject matter in a forward-looking way that takes into account its historical development. It is suitable as a text in a two-semester advanced undergraduate or first-year graduate sequence in algebra, possibly supplemented by some material from Advanced Algebra at the graduate level. It requires of the reader only familiarity with matrix algebra, an understanding of the geometry and reduction of linear equations, and an acquaintance with proofs.
Axions : Theory, Cosmology, and Experimental Searches
Axions are peculiar hypothetical particles that could both solve the CP problem of quantum chromodynamics and at the same time account for the dark matter of the universe. Based on a series of lectures by world experts in this field held at CERN (Geneva), this volume provides a pedagogical introduction to the theory, cosmology and astrophysics of these fascinating particles and gives an up-to-date account of the status and prospect of ongoing and planned experimental searches. Learners and practitioners of astroparticle physics will find in this book both a concise introduction and a current reference work to a showcase topic that connects the "inner space" of the elementary particle world with the "outer space" of the universe at large.
