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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…
- Edition
- -
- ISBN/ISSN
- 978-3-319-17368-9
- Collation
- XI, 204
- Series Title
- -
- Call Number
- -
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…
- Edition
- -
- ISBN/ISSN
- 978-3-662-43911-1
- Collation
- X, 280
- Series Title
- -
- Call Number
- -
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…
- Edition
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- ISBN/ISSN
- 978-981-287-787-1
- Collation
- XXI, 122
- Series Title
- -
- Call Number
- -
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…
- Edition
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- ISBN/ISSN
- 978-3-319-42312-8
- Collation
- XVII, 184
- Series Title
- -
- Call Number
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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…
- Edition
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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…
- Edition
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- ISBN/ISSN
- 9783319156392
- Collation
- -
- Series Title
- -
- Call Number
- 533.62
Reduced Basis Methods for Partial Differential Equations: An Introduction
This book provides a basic introduction to reduced basis (RB) methods for problems involving the repeated solution of partial differential equations (PDEs) arising from engineering and applied sciences, such as PDEs depending on several parameters and PDE-constrained optimization. The book presents a general mathematical formulation of RB methods, analyzes their fundamental theoretical prop…
- Edition
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- ISBN/ISSN
- 978-3-319-15431-2
- Collation
- -
- Series Title
- -
- Call Number
- 515.35
An Algebraic Geometric Approach to Separation of Variables
Konrad Schöbel aims to lay the foundations for a consequent algebraic geometric treatment of variable Separation, which is one of the oldest and most powerful methods to construct exact solutions for the fundamental equations in classical and quantum physics. The present work reveals a surprising algebraic geometric structure behind the famous list of separation coordinates, bringing together …
- Edition
- Ed. 1
- ISBN/ISSN
- 978-3-658-11408-4
- Collation
- XII, 138
- Series Title
- -
- Call Number
- 516 SCH a
The Monge-Ampère Equation
Now in its second edition, this monograph explores the Monge-Ampère equation and the latest advances in its study and applications. It provides an essentially self-contained systematic exposition of the theory of weak solutions, including regularity results by L. A. Caffarelli. The geometric aspects of this theory are stressed using techniques from harmonic analysis, such as covering lemmas …
- Edition
- -
- ISBN/ISSN
- 978-3-319-43374-5
- Collation
- XIV, 216
- Series Title
- Progress in Nonlinear Differential Equations and Their Applications
- Call Number
- -
The Method of Rigged Spaces in Singular Perturbation Theory of Self-Adjoint O…
All kinds of singular interactions described by potentials supported on small sets (like the Dirac δ-potentials, fractals, singular measures, high degree super-singular expressions) admit a rigorous treatment only in terms of the equipped spaces and their scales. The main idea of the method is to use singular perturbations to change inner products in the starting rigged space, and the construc…
- Edition
- -
- ISBN/ISSN
- 978-3-319-29535-0
- Collation
- XX, 237
- Series Title
- Operator Theory: Advances and Applications
- Call Number
- -
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