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Methods of Applied Mathematics with a Software Overview
This textbook, now in its second edition, provides students with a firm grasp of the fundamental notions and techniques of applied mathematics as well as the software skills to implement them. The text emphasizes the computational aspects of problem solving as well as the limitations and implicit assumptions inherent in the formal methods. Readers are also given a sense of the wide variety of p…
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- 1
- ISBN/ISSN
- 978-3-319-43369-1
- Collation
- XVII, 781
- Series Title
- Applied and Numerical Harmonic Analysis
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Mesoscopic Theories of Heat Transport in Nanosystems
This book presents generalized heat-conduction laws which, from a mesoscopic perspective, are relevant to new applications (especially in nanoscale heat transfer, nanoscale thermoelectric phenomena, and in diffusive-to-ballistic regime) and at the same time keep up with the pace of current microscopic research. The equations presented in the book are compatible with generalized formulations of …
- Edition
- 1
- ISBN/ISSN
- 978-3-319-27205-4
- Collation
- XIX, 170
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- Series Title SEMA SIMAI Springer Series
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Methods and Models in Mathematical Biology
This book developed from classes in mathematical biology taught by the authors over several years at the Technische Universität München. The main themes are modeling principles, mathematical principles for the analysis of these models and model-based analysis of data. The key topics of modern biomathematics are covered: ecology, epidemiology, biochemistry, regulatory networks, neuronal networ…
- Edition
- 1
- ISBN/ISSN
- 978-3-642-27250-9
- Collation
- XIII, 711
- Series Title
- Lecture Notes on Mathematical Modelling in the Life Sciences
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Electricity Derivatives
Offering a concise but complete survey of the common features of the microstructure of electricity markets, this book describes the state of the art in the different proposed electricity price models for pricing derivatives and in the numerical methods used to price and hedge the most prominent derivatives in electricity markets, namely power plants and swings. The mathematical content of the b…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-08395-7
- Collation
- 28 illustrations in colour
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- -
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New Perspectives on Games and Interaction
This volume is a collection of papers presented at the 2007 colloquium on new perspectives on games and interaction at the Royal Dutch Academy of Sciences in Amsterdam. The purpose of the colloquium was to clarify the uses of the concepts of game theory, and to identify promising new directions. This important collection testifies to the growing importance of game theory as a tool to capture th…
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Logic and the Foundations of Game and Decision Theory (LOFT 7)
This volume collects together revised papers originally presented at the 7th Conference on Logic and the Foundations of Game and Decision Theory (LOFT 2006). LOFT is a key venue for presenting research at the intersection of logic, economics and computer science, and the present collection gives a lively and wide-ranging view of an exciting and rapidly growing area.
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Vector Calculus
This is a text on elementary multivariable calculus, designed for students who have completed courses in single-variable calculus. The traditional topics are covered: basic vector algebra; lines, planes and surfaces; vector-valued functions; functions of 2 or 3 variables; partial derivatives; optimization; multiple integrals; line and surface integrals.The book also includes discussion of numer…
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Topics in Applied Mathematics
The objective of this course is to study the basic theory and methodsin the toolbox of the core of applied mathematics, with a central schemethat addresses “information processing” and with an emphasis on manipulationof digital image data. Linear algebra in the Saylor Foundation’s MA211and MA212 are extended to “linear analysis” with applications to principalcomponent analysis (PCA) a…
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Statistics
This Statistics resource was developed under the guidance and support of experienced high school teachers and subject matter experts. It is presented here in multiple formats: PDF, online, and low-cost print. Statistics offers instruction in grade-level appropriate concepts and skills in a logical, engaging progression that begins with sampling and data and covers topics such as probability, ra…
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A Spiral Workbook for Discrete Mathematics
This is a text that covers the standard topics in a sophomore-level course in discrete mathematics: logic, sets, proof techniques, basic number theory, functions, relations and elementary combinatorics, with an emphasis on motivation. It explains and clarifies the unwritten conventions in mathematics, and guides the students through a detailed discussion on how a proof is revised from its draft…
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