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Asymptotic Approximations for the Sound Generated by Aerofoils in Unsteady Su…
This thesis investigates the sound generated by solid bodies in steady subsonic flows with unsteady perturbations, as is typically used when determining the noise generated by turbulent interactions. The focus is predominantly on modelling the sound generated by blades within an aircraft engine, and the solutions are presented as asymptotic approximations. Key analytical techniques, such as the…
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- ISBN/ISSN
- 978-3-319-19959-7
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Zhang Functions and Various Models
This book focuses on solving different types of time-varying problems. It presents various Zhang dynamics (ZD) models by defining various Zhang functions (ZFs) in real and complex domains. It then provides theoretical analyses of such ZD models and illustrates their results. It also uses simulations to substantiate their efficacy and show the feasibility of the presented ZD approach (i.e., diff…
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- ISBN/ISSN
- 978-3-662-47334-4
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- -
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An Introduction to Continuous-Time Stochastic Processes: Theory, Models, and …
This textbook, now in its third edition, offers a rigorous and self-contained introduction to the theory of continuous-time stochastic processes, stochastic integrals, and stochastic differential equations. Expertly balancing theory and applications, the work features concrete examples of modeling real-world problems from biology, medicine, industrial applications, finance, and insurance using …
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- Ed. 1
- ISBN/ISSN
- 978-1-4939-2757-9
- Collation
- XVI, 482
- Series Title
- Modeling and Simulation in Science, Engineering and Technology
- Call Number
- 519 CAP i
Writing Proofs in Analysis
This is a textbook on proof writing in the area of analysis, balancing a survey of the core concepts of mathematical proof with a tight, rigorous examination of the specific tools needed for an understanding of analysis. Instead of the standard "transition" approach to teaching proofs, wherein students are taught fundamentals of logic, given some common proof strategies such as mathematical ind…
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- ISBN/ISSN
- 978-3-319-30967-5
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Why Prove it Again? Alternative Proofs in Mathematical Practice
This monograph considers several well-known mathematical theorems and asks the question, “Why prove it again?” while examining alternative proofs. It explores the different rationales mathematicians may have for pursuing and presenting new proofs of previously established results, as well as how they judge whether two proofs of a given result are different. While a number of books have exam…
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- ISBN/ISSN
- 978-3-319-17368-9
- Collation
- XI, 204
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Why More Is Different Philosophical Issues in Condensed Matter Physics and C…
The physics of condensed matter, in contrast to quantum physics or cosmology, is not traditionally associated with deep philosophical questions. However, as science - largely thanks to more powerful computers - becomes capable of analysing and modelling ever more complex many-body systems, basic questions of philosophical relevance arise. Questions about the emergence of structure, the nature o…
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- ISBN/ISSN
- 978-3-662-43911-1
- Collation
- X, 280
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- -
- Call Number
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Why Cryptography Should Not Rely on Physical Attack Complexity
This book presents two practical physical attacks. It shows how attackers can reveal the secret key of symmetric as well as asymmetric cryptographic algorithms based on these attacks, and presents countermeasures on the software and the hardware level that can help to prevent them in the future. Though their theory has been known for several years now, since neither attack has yet been successf…
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- ISBN/ISSN
- 978-981-287-787-1
- Collation
- XXI, 122
- Series Title
- -
- Call Number
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What is the Genus
Exploring several of the evolutionary branches of the mathematical notion of genus, this book traces the idea from its prehistory in problems of integration, through algebraic curves and their associated Riemann surfaces, into algebraic surfaces, and finally into higher dimensions. Its importance in analysis, algebraic geometry, number theory and topology is emphasized through many theorems. Al…
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- ISBN/ISSN
- 978-3-319-42312-8
- Collation
- XVII, 184
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Historiography of Mathematics in the 19th and 20th Centuries
This book addresses the historiography of mathematics as it was practiced during the 19th and 20th centuries by paying special attention to the cultural contexts in which the history of mathematics was written. In the 19th century, the history of mathematics was recorded by a diverse range of people trained in various fields and driven by different motivations and aims. These backgrounds oft…
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- ISBN/ISSN
- 978-3-319-39647-7
- Collation
- X, 276
- Series Title
- -
- Call Number
- 510 HIS
Differential reynolds stress modeling for separating flows in industrial aero…
This book presents recent progress in the application of RANS turbulence models based on the Reynolds stress transport equations. A variety of models has been implemented by different groups into different flow solvers and applied to external as well as to turbomachinery flows. Comparisons between the models allow an assessment of their performance in different flow conditions. The results demo…
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- ISBN/ISSN
- 9783319156392
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- Call Number
- 533.62
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