تحسين النتائح
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الى
الصفحة 11
الصفحة 11
Cellular Automaton Modeling of Biological Pattern Formation: Characterization, Applications, and Analysis
This book focuses on a challenging application field of cellular automata: pattern formation in biological systems, such as the growth of microorganisms, dynamics of cellular tissue and tumors, and formation of pigment cell patterns. These phenomena, resulting from complex cellular interactions, cannot be deduced solely from experimental analysis, but can be more easily examined using mathematical models, in particular, cellular automaton models.
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.
Categories and Sheaves
This book covers categories, homological algebra and sheaves in a systematic and exhaustive manner starting from scratch, and continues with full proofs to an exposition of the most recent results in the literature, and sometimes beyond.The authors present the general theory of categories and functors, emphasising inductive and projective limits, tensor categories, representable functors, ind-objects and localization. Then they study homological algebra including additive, abelian, triangulated categories and also unbounded derived categories using transfinite induction and accessible objects. Finally, sheaf theory as well as twisted sheaves and stacks appear in the framework of Grothendieck topologies.
Calibrating the Cosmos : How Cosmology Explains Our Big Bang Universe
Calibrating the Cosmos describes hard science, but is gently written. It explains in clear, non-mathematical language the measurements and the interpretation of the resulting data that have led to the current understanding of the origin, evolution and properties of our expanding Big Bang universe. Many people have a sketchy idea of the work of cosmologists, but Professor Levin’s experience in teaching both scientific and liberal arts students has enabled him to impart much of our current thinking without resorting to difficult mathematics. Theoretical concepts are emphasized, in particular the symmetries of homogeneity and isotropy enjoyed by our universe on the largest scales, how these symmetries lead to only one quantity being needed to describe the growth of the universe from its infancy to the present time, and how the so-called parameters of the universe are the ingredients used to construct the model universes to which ours – the real thing – is compared.
Calculus of one variable
Aimed at first-year undergraduates in mathematics and the physical sciences, the only prerequisites are basic algebra, coordinate geometry and the beginnings of differentiation as covered in school. The transition from school to university mathematics is addressed by means of a systematic development of important classes of techniques, and through careful discussion of the basic definitions and some of the theorems of calculus, with proofs where appropriate, but stopping short of the rigour involved in Real Analysis.The influence of technology on the learning and teaching of mathematics is recognised through the use of the computer algebra and graphical package MAPLE to illustrate many of the ideas.
Cálculo científico con MATLAB y Octave = Scientific computing with MATLAB and Octave
This textbook is an introduction to Scientific Calculus, illustrating various numerical methods for the computer solution of certain classes of mathematical problems. The authors show how to compute the zeros or integrals of continuous functions, solve linear systems, approximate functions by polynomials, and construct precise approximations for the solution of differential equations. To make the presentation concrete and attractive, the MATLAB programming environment has been adopted as a faithful companion.
Cálculo científico com MATLAB e Octave = Scientific calculus with MATLAB and Octave
Its objective is to present various numerical methods for solving certain mathematical problems on the computer that cannot be treated in a simpler way. Classical issues such as the computation of zeros or integrals of continuous functions, the solving of linear systems, the approximation of functions by polynomials and the construction of precise approximations for solutions of differential equations are addressed. All algorithms are presented in the programming languages MATLAB and Octave, whose main commands and instructions are introduced gradually, aiming in particular at their compatibility in both languages.
Calcolo stocastico per la finanza = Stochastic Calculation for Finance
Offers an introduction to the mathematical, probabilistic and numerical methods that are the basis of the models for the valuation of derivative instruments, such as options and futures, dealt with in modern financial markets. The book is aimed at readers with scientific training, wishing to develop skills in the field of stochastic calculus applied to finance.
Calcolo Scientifico : Esercizi e problemi risolti con MATLAB e Octave = Scientific computing : exercises and problems solved with MATLAB and Octave
For the short courses of the new system of the Faculties of Engineering and Sciences. It deals with all the typical topics of Numerical Mathematics, ranging from the problem of approximating a function, to the computation of its zeros, its derivatives and its definite integral up to the approximate solution of ordinary differential equations and limit problems.
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.
C*-algebras and Elliptic Theory
This volume contains the proceedings of the conference on "C*-algebras and Elliptic Theory" held in Bedlewo, Poland, in February 2004. It consists of original research papers and expository articles focussing on index theory and topology of manifolds.The collection offers a cross-section of significant recent advances in several fields, the main subject being K-theory (of C*-algebras, equivariant K-theory). A number of papers is related to the index theory of pseudodifferential operators on singular manifolds (with boundaries, corners) or open manifolds. Further topics are Hopf cyclic cohomology, geometry of foliations, residue theory, Fredholm pairs and others.
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.
Building the Foundation : Whole Numbers in the Primary Grades : The 23rd ICMI Study
This twenty-third ICMI Study addresses for the first time mathematics teaching and learning in the primary school (and pre-school) setting, while also taking international perspectives, socio-cultural diversity and institutional constraints into account. One of the main challenges of designing the first ICMI primary school study of this kind is the complex nature of mathematics at the early level. Accordingly, a focus area that is central to the discussion was chosen, together with a number of related questions. The broad area of Whole Number Arithmetic (WNA), including operations and relations and arithmetic word problems, forms the core content of all primary mathematics curricula. this study presents a meta-level analysis and synthesis of what is currently known about WNA, providing a useful base from which to gauge gaps and shortcomings, as well as an opportunity to learn from the practices of different countries and contexts.
Brouwer meets Husserl : On the Phenomenology of Choice Sequences
Can the straight line be analysed mathematically such that it does not fall apart into a set of discrete points, as is usually done but through which its fundamental continuity is lost? And are there objects of pure mathematics that can change through time? The mathematician and philosopher L.E.J. Brouwer argued that the two questions are closely related and that the answer to both is "yes''. To this end he introduced a new kind of object into mathematics, the choice sequence. But other mathematicians and philosophers have been voicing objections to choice sequences from the start. This book aims to provide a sound philosophical basis for Brouwer's choice sequences by subjecting them to a phenomenological critique in the style of the later Husserl.
Branch-and-Bound Applications in Combinatorial Data Analysis
There are a variety of combinatorial optimization problems that are relevant to the examination of statistical data. Combinatorial problems arise in the clustering of a collection of objects, the seriation (sequencing or ordering) of objects, and the selection of variables for subsequent multivariate statistical analysis such as regression. The options for choosing a solution strategy in combinatorial data analysis can be overwhelming. Because some problems are too large or intractable for an optimal solution strategy, many researchers develop an over-reliance on heuristic methods to solve all combinatorial problems. However, with increasingly accessible computer power and ever-improving methodologies, optimal solution strategies have gained popularity for their ability to reduce unnecessary uncertainty. In this monograph, optimality is attained for nontrivially sized problems via the branch-and-bound paradigm.
Brain dynamics : An introduction to models and simualtions
Brain Dynamics serves to introduce graduate students and nonspecialists from various backgrounds to the field of mathematical and computational neurosciences. Some of the advanced chapters will also be of interest to the specialists. The book approaches the subject through pulse-coupled neural networks, with at their core the lighthouse and integrate-and-fire models, which allow for the highly flexible modelling of realistic synaptic activity, synchronization and spatio-temporal pattern formation. Topics also include pulse-averaged equations and their application to movement coordination. The book closes with a short analysis of models versus the real neurophysiological system.
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.
Bounded Analytic Functions
The book covers a wide range of beautiful topics in analysis, is extremely well organized and well written, with elegant, detailed proofs. The book has educated a whole generation of mathematicians with backgrounds in complex analysis and function algebras.
Boundary Integral Equations
This book is devoted to the basic mathematical properties of solutions to boundary integral equations and presents a systematic approach to the variational methods for the boundary integral equations arising in elasticity, fluid mechanics, and acoustic scattering theory. It may also serve as the mathematical foundation of the boundary element methods. The latter have recently become extremely popular and efficient computational tools in applications. The authors are well known for their fundamental work on boundary integral equations and related topics. This book is a major scholarly contribution to the modern theory of boundary integral equations and should be accessible and useful to a large community of mathematical analysts, applied mathematicians, engineers and scientists.
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.
