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Dynamics Of Cancer: Mathematical Foundations Of Oncology, Wodarz Dominik & Komarova Natalia


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Цена: 26928.00р.
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Автор: Wodarz Dominik & Komarova Natalia
Название:  Dynamics Of Cancer: Mathematical Foundations Of Oncology
ISBN: 9789814566360
Издательство: World Scientific Publishing
Классификация:

ISBN-10: 9814566365
Обложка/Формат: Hardback
Страницы: 532
Вес: 0.95 кг.
Дата издания: 19.06.2014
Серия: Medicine
Язык: English
Иллюстрации: Illustrations
Размер: 158 x 236 x 27
Читательская аудитория: Postgraduate, research & scholarly
Ключевые слова: Mathematical modelling, MATHEMATICS / Applied,MEDICAL / Biotechnology,SCIENCE / Life Sciences / Biology
Основная тема: Mathematics / Mathematical Modeling
Подзаголовок: Mathematical foundations of oncology
Ссылка на Издательство: Link
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Поставляется из: Англии
Описание:

The book aims to provide an introduction to mathematical models that describe the dynamics of tumor growth and the evolution of tumor cells. It can be used as a textbook for advanced undergraduate or graduate courses, and also serves as a reference book for researchers. The book has a strong evolutionary component and reflects the viewpoint that cancer can be understood rationally through a combination of mathematical and biological tools. It can be used both by mathematicians and biologists. Mathematically, the book starts with relatively simple ordinary differential equation models, and subsequently explores more complex stochastic and spatial models. Biologically, the book starts with explorations of the basic dynamics of tumor growth, including competitive interactions among cells, and subsequently moves on to the evolutionary dynamics of cancer cells, including scenarios of cancer initiation, progression, and treatment. The book finishes with a discussion of advanced topics, which describe how some of the mathematical concepts can be used to gain insights into a variety of questions, such as epigenetics, telomeres, gene therapy, and social interactions of cancer cells.




Mathematical Physics: A Modern Introduction To Its Foundations

Автор: Sadri Hassani
Название: Mathematical Physics: A Modern Introduction To Its Foundations
ISBN: 3319011944 ISBN-13(EAN): 9783319011943
Издательство: Springer
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Цена: 11179.00 р.
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Описание:

This book is for physics students interested in the mathematics they use and for mathematics students interested in seeing how some of the ideas of their discipline find realization in an applied setting. The presentation tries to strike a balance between formalism and application, between abstract and concrete. The interconnections among the various topics are clarified both by the use of vector spaces as a central unifying theme, recurring throughout the book, and by putting ideas into their historical context. Enough of the essential formalism is included to make the presentation self-contained.

The book is divided into eight parts: The first covers finite- dimensional vector spaces and the linear operators defined on them. The second is devoted to infinite-dimensional vector spaces, and includes discussions of the classical orthogonal polynomials and of Fourier series and transforms. The third part deals with complex analysis, including complex series and their convergence, the calculus of residues, multivalued functions, and analytic continuation. Part IV treats ordinary differential equations, concentrating on second-order equations and discussing both analytical and numerical methods of solution. The next part deals with operator theory, focusing on integral and Sturm--Liouville operators. Part VI is devoted to Green's functions, both for ordinary differential equations and in multidimensional spaces. Parts VII and VIII contain a thorough discussion of differential geometry and Lie groups and their applications, concluding with Noether's theorem on the relationship between symmetries and conservation laws.

Intended for advanced undergraduates or beginning graduate students, this comprehensive guide should also prove useful as a refresher or reference for physicists and applied mathematicians. Over 300 worked-out examples and more than 800 problems provide valuable learning aids.

Numerous enhancements and revision are incorporated into this new edition. For example, fiber bundle techniques are used to introduce differential geometry. This more elegant and intuitive approach naturally connects differential geometry with not only the general theory of relativity, but also gauge theories of fundamental forces.

Some praise for the previous edition:

PAGEOPH Pure and Applied Geophysics]

Review by Daniel Wojcik, University of Maryland

"This volume should be a welcome addition to any collection. The book is well written and explanations are usually clear. Lives of famous mathematicians and physicists are scattered within the book. They are quite extended, often amusing, making nice interludes. Numerous exercises help the student practice the methods introduced. ... I have recently been using this book for an extended time and acquired a liking for it. Among all the available books treating mathematical methods of physics this one certainly stands out and assuredly it would suit the needs of many physics readers."

ZENTRALBLATT MATH

Review by G.Roepstorff, University of Aachen, Germany

..". Unlike most existing texts with the same emphasis and audience, which are merely collections of facts and formulas, the present book is more systematic, self-contained, with a level of presentation that tends to be more formal and abstract. This entails proving a large number of theorems, lemmas, and corollaries, deferring most of the applications that physics students might be interested in to the example sections in small print. Indeed, there are 350 worked-out examples and about 850 problems. ... A very nice feature is the way the author intertwines the formalism with the life stories and anecdotes of some mathematicians and physicists, leading at their times. As is often the case, the historical view point helps to understand and appreciate the ideas presented in the text. ... For the physics studen

Mathematical methods and models for economists

Автор: Fuente, Angel de la.
Название: Mathematical methods and models for economists
ISBN: 0521585295 ISBN-13(EAN): 9780521585293
Издательство: Cambridge Academ
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Цена: 8554.00 р.
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Описание: This book is intended as a textbook for a first-year PhD course in mathematics for economists and as a reference for graduate students in economics. It provides a self-contained, rigorous treatment of most of the concepts and techniques required to follow the standard first-year theory sequence in micro and macroeconomics.

Mathematical Foundations of Imaging, Tomography and Wavefield Inversion

Автор: Devaney
Название: Mathematical Foundations of Imaging, Tomography and Wavefield Inversion
ISBN: 052111974X ISBN-13(EAN): 9780521119740
Издательство: Cambridge Academ
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Цена: 8395.00 р.
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Описание: Combining theory with numerous MATLAB based examples, this text provides a clear and systematic treatment of the mathematical and physical foundations of imaging and wavefield inversion. Key areas of discussion include Green function and the concept of field time reversal. It will appeal to graduate students and researchers alike.

Mathematical Foundations of Infinite-Dimensional Statistical Models

Автор: Gin?
Название: Mathematical Foundations of Infinite-Dimensional Statistical Models
ISBN: 1107043166 ISBN-13(EAN): 9781107043169
Издательство: Cambridge Academ
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Цена: 14890.00 р.
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Описание: High-dimensional and nonparametric statistical models are ubiquitous in modern data science. This book develops a mathematically coherent and objective approach to statistical inference in such models, with a focus on function estimation problems arising from random samples (density estimation) or from Gaussian regression/signal in white noise problems.


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