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Comprehensive Mathematics For Computer Scientists 1

Comprehensive Mathematics for Computer Scientists 1 PDF

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Author: Guerino Mazzola
Publisher: Springer Science & Business Media
ISBN: 3540368744
Size: 37.80 MB
Format: PDF, Docs
Category : Computers
Languages : en
Pages : 388
View: 3752


Contains all the mathematics that computer scientists need to know in one place.

Comprehensive Mathematics For Computer Scientists

Comprehensive Mathematics for Computer Scientists PDF

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Author: Guerino Mazzola
Publisher:
ISBN:
Size: 79.17 MB
Format: PDF, Kindle
Category : Computer science
Languages : en
Pages :
View: 6701



Comprehensive Mathematics For Computer Scientists 2

Comprehensive Mathematics for Computer Scientists 2 PDF

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Author: Guerino Mazzola
Publisher: Springer
ISBN: 3540269371
Size: 32.99 MB
Format: PDF, Kindle
Category : Computers
Languages : en
Pages : 355
View: 5218


This second volume of a comprehensive tour through mathematical core subjects for computer scientists completes the ?rst volume in two - gards: Part III ?rst adds topology, di?erential, and integral calculus to the t- ics of sets, graphs, algebra, formal logic, machines, and linear geometry, of volume 1. With this spectrum of fundamentals in mathematical e- cation, young professionals should be able to successfully attack more involved subjects, which may be relevant to the computational sciences. In a second regard, the end of part III and part IV add a selection of more advanced topics. In view of the overwhelming variety of mathematical approaches in the computational sciences, any selection, even the most empirical, requires a methodological justi?cation. Our primary criterion has been the search for harmonization and optimization of thematic - versity and logical coherence. This is why we have, for instance, bundled such seemingly distant subjects as recursive constructions, ordinary d- ferential equations, and fractals under the unifying perspective of c- traction theory.

Comprehensive Mathematics For Computer Scientists 1

Comprehensive Mathematics For Computer Scientists 1 PDF

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Author: Guerino Mazzola
Publisher: Springer Science & Business Media
ISBN: 9783540208358
Size: 52.35 MB
Format: PDF, ePub
Category : Computers
Languages : en
Pages : 357
View: 7291


This two-volume textbook is a self-contained yet comprehensive presentation of mathematics. The numerous course examples are motivated by computer science and bear a generic scientific meaning. For the second edition the entire text has been carefully re-written. Many examples and illustrations have been added, and explanations have been clarified. This makes the book more accessible to both instructors and students.

Foundation Mathematics For Computer Science

Foundation Mathematics for Computer Science PDF

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Author: John Vince
Publisher: Springer
ISBN: 9783319214368
Size: 40.33 MB
Format: PDF, Kindle
Category : Computers
Languages : en
Pages : 334
View: 5525


John Vince describes a range of mathematical topics to provide a foundation for an undergraduate course in computer science, starting with a review of number systems and their relevance to digital computers, and finishing with differential and integral calculus. Readers will find that the author's visual approach will greatly improve their understanding as to why certain mathematical structures exist, together with how they are used in real-world applications. Each chapter includes full-colour illustrations to clarify the mathematical descriptions, and in some cases, equations are also coloured to reveal vital algebraic patterns. The numerous worked examples will consolidate comprehension of abstract mathematical concepts. Foundation Mathematics for Computer Science covers number systems, algebra, logic, trigonometry, coordinate systems, determinants, vectors, matrices, geometric matrix transforms, differential and integral calculus, and reveals the names of the mathematicians behind such inventions. During this journey, John Vince touches upon more esoteric topics such as quaternions, octonions, Grassmann algebra, Barycentric coordinates, transfinite sets and prime numbers. Whether you intend to pursue a career in programming, scientific visualisation, systems design, or real-time computing, you should find the author’s literary style refreshingly lucid and engaging, and prepare you for more advanced texts.

The Rubato Composer Music Software

The Rubato Composer Music Software PDF

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Author: Gérard Milmeister
Publisher: Springer Science & Business Media
ISBN: 3642001483
Size: 13.18 MB
Format: PDF, ePub, Docs
Category : Computers
Languages : en
Pages : 301
View: 6249


Both modern mathematical music theory and computer science are strongly influenced by the theory of categories and functors. One outcome of this research is the data format of denotators, which is based on set-valued presheaves over the category of modules and diaffine homomorphisms. The functorial approach of denotators deals with generalized points in the form of arrows and allows the construction of a universal concept architecture. This architecture is ideal for handling all aspects of music, especially for the analysis and composition of highly abstract musical works. This book presents an introduction to the theory of module categories and the theory of denotators, as well as the design of a software system, called Rubato Composer, which is an implementation of the category-theoretic concept framework. The application is written in portable Java and relies on plug-in components, so-called rubettes, which may be combined in data flow networks for the generation and manipulation of denotators. The Rubato Composer system is open to arbitrary extension and is freely available under the GPL license. It allows the developer to build specialized rubettes for tasks that are of interest to composers, who in turn combine them to create music. It equally serves music theorists, who use them to extract information from and manipulate musical structures. They may even develop new theories by experimenting with the many parameters that are at their disposal thanks to the increased flexibility of the functorial concept architecture. Two contributed chapters by Guerino Mazzola and Florian Thalmann illustrate the application of the theory as well as the software in the development of compositional tools and the creation of a musical work with the help of the Rubato framework.

Lie Groups

Lie Groups PDF

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Author: Claudio Procesi
Publisher: Springer Science & Business Media
ISBN: 0387260404
Size: 61.54 MB
Format: PDF, Kindle
Category : Mathematics
Languages : en
Pages : 600
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Lie groups has been an increasing area of focus and rich research since the middle of the 20th century. In Lie Groups: An Approach through Invariants and Representations, the author's masterful approach gives the reader a comprehensive treatment of the classical Lie groups along with an extensive introduction to a wide range of topics associated with Lie groups: symmetric functions, theory of algebraic forms, Lie algebras, tensor algebra and symmetry, semisimple Lie algebras, algebraic groups, group representations, invariants, Hilbert theory, and binary forms with fields ranging from pure algebra to functional analysis. By covering sufficient background material, the book is made accessible to a reader with a relatively modest mathematical background. Historical information, examples, exercises are all woven into the text. This unique exposition is suitable for a broad audience, including advanced undergraduates, graduates, mathematicians in a variety of areas from pure algebra to functional analysis and mathematical physics.

Algebraic Geometry

Algebraic Geometry PDF

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Author: Daniel Perrin
Publisher: Springer Science & Business Media
ISBN: 9781848000568
Size: 19.49 MB
Format: PDF, Docs
Category : Mathematics
Languages : en
Pages : 263
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Aimed primarily at graduate students and beginning researchers, this book provides an introduction to algebraic geometry that is particularly suitable for those with no previous contact with the subject; it assumes only the standard background of undergraduate algebra. The book starts with easily-formulated problems with non-trivial solutions and uses these problems to introduce the fundamental tools of modern algebraic geometry: dimension; singularities; sheaves; varieties; and cohomology. A range of exercises is provided for each topic discussed, and a selection of problems and exam papers are collected in an appendix to provide material for further study.

Algebra

Algebra PDF

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Author: Falko Lorenz
Publisher: Springer Science & Business Media
ISBN: 0387724885
Size: 31.37 MB
Format: PDF
Category : Mathematics
Languages : en
Pages : 340
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This is Volume II of a two-volume introductory text in classical algebra. The text moves methodically with numerous examples and details so that readers with some basic knowledge of algebra can read it without difficulty. It is recommended either as a textbook for some particular algebraic topic or as a reference book for consultations in a selected fundamental branch of algebra. The book contains a wealth of material. Amongst the topics covered in Volume are the theory of ordered fields and Nullstellen Theorems. Known researcher Lorenz also includes the fundamentals of the theory of quadratic forms, of valuations, local fields and modules. What’s more, the book contains some lesser known or nontraditional results – for instance, Tsen's results on the solubility of systems of polynomial equations with a sufficiently large number of indeterminates.

Introduction To Nonlinear Dispersive Equations

Introduction to Nonlinear Dispersive Equations PDF

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Author: Felipe Linares
Publisher: Springer Science & Business Media
ISBN: 0387848991
Size: 25.43 MB
Format: PDF, ePub
Category : Mathematics
Languages : en
Pages : 260
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The aim of this textbook is to introduce the theory of nonlinear dispersive equations to graduate students in a constructive way. The first three chapters are dedicated to preliminary material, such as Fourier transform, interpolation theory and Sobolev spaces. The authors then proceed to use the linear Schrodinger equation to describe properties enjoyed by general dispersive equations. This information is then used to treat local and global well-posedness for the semi-linear Schrodinger equations. The end of each chapter contains recent developments and open problems, as well as exercises.

Applied Stochastic Control Of Jump Diffusions

Applied Stochastic Control of Jump Diffusions PDF

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Author: Bernt Øksendal
Publisher: Springer Science & Business Media
ISBN: 3540698264
Size: 72.97 MB
Format: PDF
Category : Mathematics
Languages : en
Pages : 262
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Here is a rigorous introduction to the most important and useful solution methods of various types of stochastic control problems for jump diffusions and its applications. Discussion includes the dynamic programming method and the maximum principle method, and their relationship. The text emphasises real-world applications, primarily in finance. Results are illustrated by examples, with end-of-chapter exercises including complete solutions. The 2nd edition adds a chapter on optimal control of stochastic partial differential equations driven by Lévy processes, and a new section on optimal stopping with delayed information. Basic knowledge of stochastic analysis, measure theory and partial differential equations is assumed.

Non Life Insurance Mathematics

Non Life Insurance Mathematics PDF

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Author: Thomas Mikosch
Publisher: Springer Science & Business Media
ISBN: 3540448896
Size: 27.50 MB
Format: PDF, Mobi
Category : Mathematics
Languages : en
Pages : 248
View: 6239


"Offers a mathematical introduction to non-life insurance and, at the same time, to a multitude of applied stochastic processes. It gives detailed discussions of the fundamental models for claim sizes, claim arrivals, the total claim amount, and their probabilistic properties....The reader gets to know how the underlying probabilistic structures allow one to determine premiums in a portfolio or in an individual policy." --Zentralblatt für Didaktik der Mathematik

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