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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Math Geek: From Klein Bottles to Chaos Theory, a Guide to the Nerdiest Math Facts, Theorems, and Equations

Raphael Rosen, "Math Geek: From Klein Bottles to Chaos Theory, a Guide to the Nerdiest Math Facts, Theorems, and Equations"


English | ISBN: 1440583811 | 2015 | EPUB | 256 pages | 1,1 MB

The new "sine" of mathematical geekdom!




Do you dream about long division in your sleep? Does the thought of solving abstruse equations bring a smile to your face? Do you love celebrating pi every March? Then, Math Geek was made for you! With this guide, you"ll learn even more about the power of numbers as you explore their brilliant nature in ways you"ve never imagined. From manhole covers to bubbles to subway maps, each page gives you a glimpse of the world through renowned mathematicians" eyes and reveals how their theorems and equations can be applied to nearly everything you encounter. Covering dozens of your favorite math topics, you"ll find fascinating answers to questions like:




How are the waiting times for buses determined?


Why is Romanesco Broccoli so mesmerizing?


How do you divide a cake evenly?


Should you run or walk to avoid rain showers?


Filled with compelling mathematical explanations, Math Geek sheds light on the incredible world of numbers hidden deep within your day-to-day life.

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A First Course in Differential Equations (3rd edition) (repost)

J David Logan, "A First Course in Differential Equations (3rd edition)"


2015 | ISBN-10: 3319178512 | 369 pages | PDF | 11 MB

The third edition of this concise, popular textbook on elementary differential equations gives instructors an alternative to the many voluminous texts on the market. It presents a thorough treatment of the standard topics in an accessible, easy-to-read, format. The overarching perspective of the text conveys that differential equations are about applications. This book illuminates the mathematical theory in the text with a wide variety of applications that will appeal to students in physics, engineering, the biosciences, economics and mathematics. Instructors are likely to find that the first four or five chapters are suitable for a first course in the subject.




This edition contains a healthy increase over earlier editions in the number of worked examples and exercises, particularly those routine in nature. Two appendices include a review with practice problems, and a MATLAB® supplement that gives basic codes and commands for solving differential equations. MATLAB® is not required; students are encouraged to utilize available software to plot many of their solutions.

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Advanced Functional Evolution Equations and Inclusions (repost)

Saïd Abbas, Mouffak Benchohra, "Advanced Functional Evolution Equations and Inclusions"


2015 | ISBN-10: 3319177672 | 408 pages | PDF | 3 MB

​This book presents up-to-date results on abstract evolution equations and differential inclusions in infinite dimensional spaces. It covers equations with time delay and with impulses, and complements the existing literature in functional differential equations and inclusions. The exposition is devoted to both local and global mild solutions for some classes of functional differential evolution equations and inclusions, and other densely and non-densely defined functional differential equations and inclusions in separable Banach spaces or in Fréchet spaces. The tools used include classical fixed points theorems and the measure-of non-compactness, and each chapter concludes with a section devoted to notes and bibliographical remarks.




This monograph is particularly useful for researchers and graduate students studying pure and applied mathematics, engineering, biology and all other applied sciences.

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Hervé Lehning et collectif, "Les équations algébriques : Aborder les inconnues"

Hervé Lehning et collectif, "Les équations algébriques : Aborder les inconnues"


Publisher: Pole | 2012 | ISBN: 2848841397 | French | PDF | 160 pages | 89.8 Mb

“

À Babylone, en Égypte ou en Grèce, l"homme antique est confronté à des partages de champs ou d"héritages qui le conduisent déjà à résoudre des équations algébriques, parfois sans le savoir. De ces problèmes de la vie quotidienne naîtra l"inconnue. Depuis, les équations se résolvent aussi pour elles-mêmes, sans souci du concret. Afin de percer leur mystère, le mathématicien affûte ses méthodes. Il doit accepter l"insuffisance de la stricte algèbre, ne dédaigner ni les ressources de la géométrie, ni le recours aux approximations. Cette quête le mènera aux confins de l"univers des nombres, dans des mondes peuplés d"irrationnels, de transcendants, d"imaginaires. Elle sera l"origine de révolutions mathématiques, telles que la théorie de Galois.

”

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