Introduction to mathematics for life scientists
著者
書誌事項
Introduction to mathematics for life scientists
（Biomathematics, v. 2）
Springer-Verlag, 1979
3rd ed
- : gw
- : us
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注記
Bibliography: p. [610]-621
Includes index
内容説明・目次
- 巻冊次
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: us ISBN 9780387096629
内容説明
Grid architectures, which are viewed as tools for the integration of distributed resources, play a significant role as managers of computational resources, but also as aggregators of measurement instrumentation and pervasive large-scale data acquisition platforms. The functionality of a grid architecture allows managing, maintaining, and exploiting hetereogeneous instrumentation and acquisition devices in a unifed way by providing standardized interfaces and common work environments to their users. This result is achieved through the properties of isolation from the physical network and from the peculiarites of the instrumentation granted by standard middleware together with secure and flexibile mechanisms which seek, access, and aggregate distributed resources.
This book focuses on a number of aspects related to the effective exploitation of remote instrumentation on the grid. These include middleware architecture, high speed networking in support of grid applications, wireless grid for acquisition devices and sensor networks, quality of service provisioning for real time control, and measurement instrumentation.
目次
Sensor Networks as Data Acquisition Devices.- Data-Centric Storage in Non-Uniform Sensor Networks.- Extending Instrumentation Grids to Wireless Sensor Networks.- Reduced-Complexity Decentralized Detection of Spatially Non-Constant Phenomena.- Performance Analysis Of Zigbee Wireless Sensor Networks With Relaying.- Implementation of Average Consensus Protocols for Commercial Sensor Networks Platforms.- Networking and the Grid.- Biologically Inspired Approaches to Network Systems.- Dynamic Network Resources Allocation in Grids through a Grid Network Resource Broker.- Exploiting Overlay Networks Features To Enhance The Performance Of The File Mover.- Advanced Satellite Infrastructures in Future Global Grid Computing Network Solutions to Compensate Delivery Delay.- Monitoring Solution for Optical Grid Architectures.- Grids and Networks Monitoring-Practical Approach.- Analyzing and Optimizing the Linux Networking Stack.- Instrumentation and Measurement.- A Grid Architecture for Efficient Measurement of Electrical Disturbances.- Systematization and Analysis of RemoteLY Accessed Instruments and User Community Requirements.- Service-Oriented Architectures for Distributed Cooperative Instrumentation Grids.- A Web-based Tool for Collaborative Access to Scientific Instruments in Cyberinfrastructures.- The WiLAB Telemeasurement Platform For Distributed Resources On Heterogeneous Communication Networks.- Instruments in Grid: the Instrument Element.- On The Integration of Telecommunication Measurement Devices Within The Framework Of An Instrumentation Grid.- Grid Resource Allocation, QoS, and Security.- Grid Interoperability by Multiple Broker Utilization and Meta-Broking.- On Quality of Service Support for Grid Computing.- Victor-Spaces: Virtual and Remote Experiments in Cooperative Knowledge Spaces.- Enabling Scientists Through Workflowand Quality of Service.- Improving the Security Performance in Computer Grids.- Supporting Interactive Application Requirements in a Grid Environment.- The Common Instrument Middleware Architecture.- Web 2.0 for Grids and e-Science.- Applications.- Int.eu.Grid Project Approach on Supporting Interactive Applications in the Grid Environment.- Application Of Perfsonar Architecture In Support Of Grid Monitoring.- Network Emulation on Globus-Based Grids: Mechanisms and Challenges.- Food Engineering Instrumentation on LEMDist Workspace.- Grid Services for 3D Data Analysis in Virtual Laboratories.- New Prototype Architecture For Automated Irrigation Based On Power Line Communications.- The Use of PIMA(GE) Library for Efficient Image Processing in a Grid Environment.- Remote Operations of an Accelerator Using the Grid.- E-Vlbi Using a Software Correlator.- Digital Science Library in Remote Instrumentation Systems.- Grid Integration of Future Arrays of Broadband Radio-Telescopes Moving Toward E-VLBI.- Using the Grid for the Interactive Workflow Management in Biomedicine.
- 巻冊次
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: gw ISBN 9783540096627
内容説明
From the reviews: "...Here we have a book which we can wholeheartedly suggest. The mathematics is sound and pared to essentials; the examples are an impressive, well-chosen selection from the biomathematics literature, and the problem sets provide both useful exercises and some fine introductions to the art of modeling...Batschelet has written an introduction to biomathematics which is notable for its clarity - not only a clarity of presentation, but also a clarity of purpose, backed by a sure grasp of the field..." #Bulletin of Mathematical Biology#1 "For research workers in the biomedical field who feel a need for freshening up their knowledge in mathematics, but so far have always been frustrated by either too formal or too boring textbooks, there is now exactly what they would like to have: an easy to read introduction. This book is highly motivating for practical workers because only those mathematical techniques are offered for which there is an application in the life sciences. The reader will find it stimulating that each tool described is immediately exemplified by problems from latest publications." #Int.
Zeitschrift fur klinische Pharmakologie, Therapie und Toxikologie#2
目次
1. Real Numbers.- 1.1 Introduction.- 1.2 Classification and Measurement.- 1.3 A Problem with Percentages.- 1.4 Proper and Improper Use of Percentages.- 1.5 Algebraic Laws.- 1.6 Relative Numbers.- 1.7 Inequalities.- 1.8 Mean Values.- 1.9 Summation.- 1.10 Powers.- 1.11 Fractional Powers.- 1.12 Calculations with Approximate Numbers.- 1.13 An Application.- 1.14 Survey.- Problems for Solution.- 2. Sets and Symbolic Logic.- 2.1 "New Mathematics".- 2.2 Sets.- 2.3 Notations and Symbols.- 2.4 Variable Members.- 2.5 Complementary Set.- 2.6 The Union.- 2.7 The Intersection.- 2.8 Symbolic Logic.- 2.9 Negation and Implication.- 2.10 Boolean Algebra.- Problems for Solution.- 3. Relations and Functions.- 3.1 Introduction.- 3.2 Product Sets.- 3.3 Relations.- 3.4 Functions.- 3.5 A Special Linear Function.- 3.6 The General Linear Function.- 3.7 Linear Relations.- Problems for Solution.- 4. The Power Function and Related Functions.- 4.1 Definitions.- 4.2 Examples of Power Functions.- 4.3 Polynomials.- 4.4 Differences.- 4.5 An Application.- 4.6 Quadratic Equations.- Problems for Solution.- 5. Periodic Functions.- 5.1 Introduction and Definition.- 5.2 Angles.- 5.3 Polar Coordinates.- 5.4 Sine and Cosine.- 5.5 Conversion of Polar Coordinates.- 5.6 Right Triangles.- 5.7 Trigonometric Relations.- 5.8 Polar Graphs.- 5.9 Trigonometric Polynomials.- Problems for Solution.- 6. Exponential and Logarithmic Functions I.- 6.1 Sequences.- 6.2 The Exponential Function.- 6.3 Inverse Functions.- 6.4 The Logarithmic Functions.- 6.5 Applications.- 6.6 Scaling.- 6.7 Spirals.- Problems for Solution.- 7. Graphical Methods.- 7.1 Nonlinear Scales.- 7.2 Semilogarithmic Plot.- 7.3 Double-Logarithmic Plot.- 7.4 Triangular Charts.- 7.5 Nomography.- 7.6 Pictorial Views.- Problems for Solution.- 8. Limits.- 8.1 Limits of Sequences.- 8.2 Some Special Limits.- 8.3 Series.- 8.4 Limits of Functions.- 8.5 The Fibonacci Sequence.- Problems for Solution.- 9. Differential and Integral Calculus.- 9.1 Growth Rates.- 9.2 Differentiation.- 9.3 The Antiderivative.- 9.4 Integrals.- 9.5 Integration.- 9.6 The Second Derivative.- 9.7 Extremes.- 9.8 Mean of a Continuous Function.- 9.9 Small Changes.- 9.10 Techniques of Integration.- Problems for Solution.- 10. Exponential and Logarithmic Functions II.- 10.1 Introduction.- 10.2 Integral of 1/x.- 10.3 Properties of ln x.- 10.4 The Inverse Function of ln x.- 10.5 The General Definition of a Power.- 10.6 Relationship between Natural and Common Logarithms.- 10.7 Differentiation and Integration.- 10.8 Some Limits.- 10.9 Applications.- 10.10 Approximations and Series Expansions.- 10.11 Hyperbolic Functions.- Problems for Solution.- 11. Ordinary Differential Equations.- 11.1 Introduction.- 11.2 Geometric Interpretation.- 11.3 The Differential Equation y' = ay.- 11.4 The Differential Equation y' = ay+b.- 11.5 The Differential Equation y' = ay2+ by+ c.- 11.6 The Differential Equation dy/dx = k * y/x.- 11.7 A System of Linear Differential Equations.- 11.8 A System of Nonlinear Differential Equations.- 11.9 Classification of Differential Equations.- Problems for Solution.- 12. Functions of Two or More Independent Variables.- 12.1 Introduction.- 12.2 Partial Derivatives.- 12.3 Maxima and Minima.- 12.4 Partial Differential Equations.- Problems for Solution.- 13. Probability.- 13.1 Introduction.- 13.2 Events.- 13.3 The Concept of Probability.- 13.4 The Axioms of Probability Theory.- 13.5 Conditional Probabilities.- 13.6 The Multiplication Rule.- 13.7 Counting.- 13.8 Binomial Distribution.- 13.9 Random Variables.- 13.10 The Poisson Distribution.- 13.11 Continuous Distributions.- Problems for Solution.- 14. Matrices and Vectors.- 14.1 Notations.- 14.2 Matrix Algebra.- 14.3 Applications.- 14.4 Vectors in Space.- 14.5 Applications.- 14.6 Determinants.- 14.7 Inverse of a Matrix.- 14.8 Linear Dependence.- 14.9 Eigenvalues and Eigenvectors.- Problems for Solution.- 15. Complex Numbers.- 15.1 Introduction.- 15.2 The Complex Plane.- 15.3 Algebraic Operations.- 15.4 Exponential Functions of Complex Variables.- 15.5 Quadratic Equations.- 15.6 Oscillations.- Problems for Solution.- Appendix (Tables A to K).- Solutions to Odd Numbered Problems.- References.- Author and Subject Index.
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