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Mathematical physics --- Chemistry --- Physics --- Mathematics --- Science --- Physical sciences --- Mathematics. --- Applications of mathematics --- Applications of mathematics. --- Chemistry - Mathematics --- Physics - Mathematics

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This text presents mathematical biology as a field with a unity of its own, rather than only the intrusion of one science into another. It updates an earlier successful edition and greatly expands the concept of the "computer biology laboratory," giving students a general perspective of the field before proceeding to more specialized topics. The book focuses on problems of contemporary interest, such as cancer, genetics, and the rapidly growing field of genomics. It includes new chapters on parasites, cancer, and phylogenetics, along with an introduction to online resources for DNA, protein lookups, and popular pattern matching tools such as BLAST. In addition, the emerging field of algebraic statistics is introduced and its power illustrated in the context of phylogenetics. A unique feature of the book is the integration of a computer algebra system into the flow of ideas in a supporting but unobtrusive role. Syntax for both the Maple and Matlab systems is provided in a tandem format. The use of a computer algebra system gives the students the opportunity to examine "what if" scenarios, allowing them to investigate biological systems in a way never before possible. For students without access to Maple or Matlab, each topic presented is complete. Graphic visualizations are provided for all mathematical results. Mathematical Biology includes extensive exercises, problems and examples. A year of calculus with linear algebra is required to understand the material presented. The biology presented proceeds from the study of populations down to the molecular level; no previous coursework in biology is necessary. The book is appropriate for undergraduate and graduate students studying mathematics or biology and for scientists and researchers who wish to study the applications of mathematics and computers in the natural sciences.

Biomathematics. Biometry. Biostatistics --- Mathematics. --- Mathematical Biology in General. --- Computer Appl. in Life Sciences. --- Probability Theory and Stochastic Processes. --- Applications of Mathematics. --- Computer Applications. --- Computer science. --- Biology --- Distribution (Probability theory). --- Mathématiques --- Informatique --- Biologie --- Distribution (Théorie des probabilités) --- Data processing.

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The overall goal of Modelling and Applications in Mathematics Education is to provide a comprehensive overview of the state-of-the-art in the field of modelling and applications in mathematics education. Key issues are dealt with, among which are the following: Epistemology and the relationships between mathematics and the "rest of the world"; the meaning of mathematical modelling and its process components; the respect in which the distinction between pure mathematics and applications of mathematics make sense Authenticity and Goals dealing with modelling and applications in mathematics teaching; appropriate balance between modelling activities and other mathematical activities; the role that authentic problem situations play in modelling and applications activities Modelling Competencies: characterizing how a student's modelling competency can be characterized; identifiable sub-competencies, and the ways they constitute a general modelling competency; developing competency over time Mathematical Competencies: identifying the most important mathematical competencies that students should acquire, and how modelling and applications activities can contribute toward building up these competencies; the meaning of "Mathematical Literacy" in relation to modelling Modelling Pedagogy: appropriate pedagogical principles and strategies for the development of modelling courses and their teaching; the role of technology in the teaching of modelling and applications Implementation and Practice: the role of modelling and applications in everyday mathematics teaching; major impediments and obstacles; advancing the use of modelling examples in everyday classrooms; documenting successful implementation of modelling in mathematics teaching Assessment and Evaluation: assessment modes that capture the essential components of modelling competency; modes available for modelling and applications courses and curricula; appropriate strategies to implement new assessment and evaluation modes in practice The contributing authors are eminent members of the mathematics education community. Modelling and Applications in Mathematics Education will be of special interest to mathematics educators, teacher educators, researchers, education administrators, curriculum developers and student teachers.

Mathematics --- Mathematical models. --- Study and teaching. --- Models, Mathematical --- Simulation methods --- Didactics of mathematics --- Mathematics. --- Mathematics Education. --- Applications of Mathematics. --- Math --- Science --- Mathematics—Study and teaching . --- Applied mathematics. --- Engineering mathematics. --- Engineering --- Engineering analysis --- Mathematical analysis

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An Introduction to Multi-Paradigm Programming using C++ is a self-contained reference book for those studying and using C++. Starting from scratch, Dirk Vermeir explains the idea of address, value and type in C++ before quickly moving on to cover the more important aspects of the language such as classes, templates, generic programming and inheritance. He includes recent developments in C++, such as STL and the iostream library, and there is also a chapter devoted to program design principles. By using plenty of examples to illustrate the text, the reader is stimulated and inspired to see how they can use what they have learnt in other more sophisticated applications. All the examples from the text, including some larger example programs are available on the author's website - http://tinf2.vub.ac.be/cpp/index.html.

C++ (Computer program language) --- Programming --- C++ (Langage de programmation) --- Programming languages (Electronic computers). --- Applied mathematics. --- Engineering mathematics. --- Computational complexity. --- Programming Languages, Compilers, Interpreters. --- Applications of Mathematics. --- Complexity. --- Complexity, Computational --- Electronic data processing --- Machine theory --- Engineering --- Engineering analysis --- Mathematical analysis --- Computer languages --- Computer program languages --- Computer programming languages --- Machine language --- Languages, Artificial --- Mathematics

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Topos of Music is an extensive and elaborate body of mathematical investigations into music and involves several and ontologically different levels of musical description. Albeit the author Guerino Mazzola lists 17 contributors and 2 collaborators, the book should be characterized as a monograph. Large portions of the content represent original research of Mazzola himself, and the material from other work is exposed from Mazzola's point of view and is well referenced. The preface preintimates an intended double meaning of the term topos in the title. On the one hand, it provides a mathematical anchor, which is programmatic for the entire approach: the concept of a cartesian closed category with a subobject classifier. (...)Zentralblatt MATH.

Mathematical logic --- Music --- Mathematics --- Engineering & Applied Sciences --- Applied Mathematics --- Music theory --- Philosophy and aesthetics --- Applied mathematics. --- Engineering mathematics. --- Philosophy and science. --- Geometry. --- Algebraic geometry. --- Mathematics. --- Visualization. --- Applications of Mathematics. --- Philosophy of Science. --- Algebraic Geometry. --- Mathematics, general. --- Visualisation --- Imagination --- Visual perception --- Imagery (Psychology) --- Math --- Science --- Algebraic geometry --- Geometry --- Euclid's Elements --- Science and philosophy --- Engineering --- Engineering analysis --- Mathematical analysis