Methods of Mathematical Modelling: Continuous Systems and Differential Equations (Repost)

Thomas Witelski, Mark Bowen, "Methods of Mathematical Modelling: Continuous Systems and Differential Equations"


English | 2015 | ISBN-10: 3319230417 | 305 pages | pdf | 5 MB

This book presents mathematical modelling and the integrated process of formulating sets of equations to describe real-world problems. It describes methods for obtaining solutions of challenging differential equations stemming from problems in areas such as chemical reactions, population dynamics, mechanical systems, and fluid mechanics.




Chapters 1 to 4 cover essential topics in ordinary differential equations, transport equations and the calculus of variations that are important for formulating models. Chapters 5 to 11 then develop more advanced techniques including similarity solutions, matched asymptotic expansions, multiple scale analysis, long-wave models, and fast/slow dynamical systems.




Methods of Mathematical Modelling will be useful for advanced undergraduate or beginning graduate students in applied mathematics, engineering and other applied sciences.

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Games of No Chance (Mathematical Sciences Research Institute Publications)

Games of No Chance (Mathematical Sciences Research Institute Publications) by Richard J. Nowakowski


English | 6 Feb. 1997 | ISBN: 0521574110 | 530 Pages | PDF | 14 MB

Is Nine-Men Morris, in the hands of perfect players, a win for white or for black – or a draw? Can king, rook, and knight always defeat king and two knights in chess? What can Go players learn from economists? What are nimbers, tinies, switches and minies? This book deals with combinatorial games, that is, games not involving chance or hidden information.

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Boundary Element Analysis: Mathematical Aspects and Applications [Repost]

Boundary Element Analysis: Mathematical Aspects and Applications (Lecture Notes in Applied and Computational Mechanics) by Martin Schanz


English | Feb 21, 2007 | ISBN: 354047465X | 359 Pages | PDF | 6 MB

This volume contains eleven contributions on boundary integral equation and boundary element methods. Beside some historical and more analytical aspects in the formulation and analysis of boundary integral equations, modern fast boundary element methods are also described and analyzed from a mathematical point of view. In addition, the book presents engineering and industrial applications that show the ability of boundary element methods to solve challenging problems from different fields.

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Mathematical Modeling of Disperse Two-Phase Flows (repost)

Christophe Morel, "Mathematical Modeling of Disperse Two-Phase Flows"


2015 | ISBN-10: 3319201034 | 350 pages | PDF | 4 MB

This book develops the theoretical foundations of disperse two-phase flows, which are characterized by the existence of bubbles, droplets or solid particles finely dispersed in a carrier fluid, which can be a liquid or a gas. Chapters clarify many difficult subjects, including modeling of the interfacial area concentration. Basic knowledge of the subjects treated in this book is essential to practitioners of Computational Fluid Dynamics for two-phase flows in a variety of industrial and environmental settings.




The author provides a complete derivation of the basic equations, followed by more advanced subjects like turbulence equations for the two phases (continuous and disperse) and multi-size particulate flow modeling. As well as theoretical material, readers will discover chapters concerned with closure relations and numerical issues. Many physical models are presented, covering key subjects including heat and mass transfers between phases, interfacial forces and fluid particles coalescence and breakup, amongst others.




This book is highly suitable for students in the subject area, but may also be a useful reference text for more advanced scientists and engineers.

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A Biologist"s Guide to Mathematical Modeling in Ecology and Evolution (repost)

Sarah P. Otto, Troy Day, "A Biologist"s Guide to Mathematical Modeling in Ecology and Evolution"


2007 | ISBN: 0691123446 | EPUB | 744 pages | 13 MB

Thirty years ago, biologists could get by with a rudimentary grasp of mathematics and modeling. Not so today. In seeking to answer fundamental questions about how biological systems function and change over time, the modern biologist is as likely to rely on sophisticated mathematical and computer-based models as traditional fieldwork. In this book, Sarah Otto and Troy Day provide biology students with the tools necessary to both interpret models and to build their own.




The book starts at an elementary level of mathematical modeling, assuming that the reader has had high school mathematics and first-year calculus. Otto and Day then gradually build in depth and complexity, from classic models in ecology and evolution to more intricate class-structured and probabilistic models. The authors provide primers with instructive exercises to introduce readers to the more advanced subjects of linear algebra and probability theory. Through examples, they describe how models have been used to understand such topics as the spread of HIV, chaos, the age structure of a country, speciation, and extinction.




Ecologists and evolutionary biologists today need enough mathematical training to be able to assess the power and limits of biological models and to develop theories and models themselves. This innovative book will be an indispensable guide to the world of mathematical models for the next generation of biologists.


• A how-to guide for developing new mathematical models in biology


• Provides step-by-step recipes for constructing and analyzing models


• Interesting biological applications


• Explores classical models in ecology and evolution


• Questions at the end of every chapter


• Primers cover important mathematical topics


• Exercises with answers


• Appendixes summarize useful rules


• Labs and advanced material available

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Mathematical Methods for Economic Theory 2 (Studies in Economic Theory) by James C. Moore

Mathematical Methods for Economic Theory 2 (Studies in Economic Theory) by James C. Moore


English | 15 Dec. 2010 | ISBN: 3642085520 | 343 Pages | PDF | 11 MB

This two-volume work functions both as a textbook for graduates and as a reference for economic scholars. Assuming only the minimal mathematics background required of every second-year graduate in economics, the two volumes provide a self-contained and careful development of mathematics through locally convex topological vector spaces, and fixed-point, separation, and selection theorems in such spaces.

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Foundations of Mathematical Optimization

Foundations of Mathematical Optimization: Convex Analysis without Linearity (Mathematics and Its Applications) by Stefan Rolewicz


English | 28 Feb. 1997 | ISBN: 0792344243 | 596 Pages | PDF | 22 MB

Many books on optimization consider only finite dimensional spaces. This volume is unique in its emphasis: the first three chapters develop optimization in spaces without linear structure, and the analog of convex analysis is constructed for this case. Many new results have been proved specially for this publication.

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Mathematical Intuitionism and Intersubjectivity

Mathematical Intuitionism and Intersubjectivity: A Critical Exposition of Arguments for Intuitionism by Tomasz Placek


English | 30 Jun. 1999 | ISBN: 0792356306 | 227 Pages | PDF | 6 MB

In 1907 Luitzen Egbertus Jan Brouwer defended his doctoral dissertation on the foundations of mathematics and with this event the modem version of mathematical intuitionism came into being. Brouwer attacked the main currents of the philosophy of mathematics: the formalists and the Platonists.

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