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University of Toronto Mathematics Competition (2001–2015)
This text records the problems given for the first 15 annual undergraduate mathematics competitions, held in March each year since 2001 at the University of Toronto. Problems cover areas of single-variable differential and integral calculus, linear algebra, advanced algebra, analytic geometry, combinatorics, basic group theory, and number theory. The problems of the competitions are given in ch…
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- ISBN/ISSN
- 978-3-319-28106-3
- Collation
- VIII, 207
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Hamiltonian Partial Differential Equations and Applications
This book is a unique selection of work by world-class experts exploring the latest developments in Hamiltonian partial differential equations and their applications. Topics covered within are representative of the field’s wide scope, including KAM and normal form theories, perturbation and variational methods, integrable systems, stability of nonlinear solutions as well as applications to co…
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- ISBN/ISSN
- 978-1-4939-2949-8
- Collation
- X, 449
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- Call Number
- 510 HAM
A Friendly Introduction to Differential Equations
n this book, there are five chapters: The Laplace Transform, Systems of Homogeneous Linear Differential Equations (HLDE), Methods of First and Higher Orders Differential Equations, Extended Methods of First and Higher Orders Differential Equations, and Applications of Differential Equations. In addition, there are exercises at the end of each chapter above to let students practice additional se…
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- 513 KAA f
Stochastic Equations for Complex Systems Theoretical and Computational Topics
Mathematical analyses and computational predictions of the behavior of complex systems are needed to effectively deal with weather and climate predictions, for example, and the optimal design of technical processes. Given the random nature of such systems and the recognized relevance of randomness, the equations used to describe such systems usually need to involve stochastics. The basic go…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-18206-3
- Collation
- -
- Series Title
- 9 b/w illustrations, 33 illustrations in colour
- Call Number
- VII, 192
Neoclassical Theory of Electromagnetic Interactions: A Single Theory for Macr…
In this monograph, the authors present their recently developed theory of electromagnetic interactions. This neoclassical approach extends the classical electromagnetic theory down to atomic scales and allows the explanation of various non-classical phenomena in the same framework.While the classical Maxwell–Lorentz electromagnetism theory succeeds in describing the physical reality at macros…
- Edition
- 1
- ISBN/ISSN
- 978-1-4471-7282-6
- Collation
- XXIII, 696
- Series Title
- Theoretical and Mathematical Physics
- Call Number
- -
Linear Functional Analysis: An Application-Oriented Introduction
This book gives an introduction to Linear Functional Analysis, which is a synthesis of algebra, topology, and analysis. In addition to the basic theory it explains operator theory, distributions, Sobolev spaces, and many other things. The text is self-contained and includes all proofs, as well as many exercises, most of them with solutions. Moreover, there are a number of appendices, for exampl…
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- ISBN/ISSN
- 978-1-4471-7280-2
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Extended Abstracts Spring 2014 Hamiltonian Systems and Celestial Mechanics; …
The two parts of the present volume contain extended conference abstracts corresponding to selected talks given by participants at the "Conference on Hamiltonian Systems and Celestial Mechanics 2014" (HAMSYS2014) (15 abstracts) and at the "Workshop on Virus Dynamics and Evolution" (12 abstracts), both held at the Centre de Recerca Matemàtica (CRM) in Barcelona from June 2nd to 6th, 2014, and f…
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- ISBN/ISSN
- 978-3-319-22129-8
- Collation
- 12 b/w illustrations, 14 illustrations in colour
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- Call Number
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Stochastic Calculus and Applications
Completely revised and greatly expanded, the new edition of this text takes readers who have been exposed to only basic courses in analysis through the modern general theory of random processes and stochastic integrals as used by systems theorists, electronic engineers and, more recently, those working in quantitative and mathematical finance. Building upon the original release of this title, t…
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- 2
- ISBN/ISSN
- 978-1-4939-2867-5
- Collation
- -
- Series Title
- XXIII, 666,
- Call Number
- -
Lectures on Random Interfaces
Interfaces are created to separate two distinct phases in a situation in which phase coexistence occurs. This book discusses randomly fluctuating interfaces in several different settings and from several points of view: discrete/continuum, microscopic/macroscopic, and static/dynamic theories. The following four topics in particular are dealt with in the book. Assuming that the interface is rep…
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- ISBN/ISSN
- 978-981-10-0849-8
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Lectures on Nonlinear Evolution Equations: Initial Value Problems
This book mainly serves as an elementary, self-contained introduction to several important aspects of the theory of global solutions to initial value problems for nonlinear evolution equations. The book employs the classical method of continuation of local solutions with the help of a priori estimates obtained for small data. The existence and uniqueness of small, smooth solutions that are defi…
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- ISBN/ISSN
- 978-3-319-21873-1
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- -
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- -
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