Libros de Estudios generales, página 70 de 210

Explora las asombrosas propiedades de númerosImagina un número tan largo que, si lo escribieras, ocuparía todo el universo. Aquí lo vas a encontrar, junto a todo tipo de números–reales, imaginarios,

Matematicas

Este texto recoge una introducción a los Espacios de Hilbert, desde el punto de vista más genérico de los espacios normados. La mayor parte del contenido puede encontrarse también en otros libros de texto sobre espacios de Banach y de Hilbert, pero la particularidad de este libro es la seleccion que se ha hecho de los contenidos mas relevantes para la formacion de un fisico. Algunos de ellos, como las Series y Transformadas de Fourier u otros temas interesantes, que amplian el contenido, estan simplemente referenciados. Ademas de los contenidos teoricos, el libro cuenta con un primer apendice sobre la Notacion de Dirac, de especial utilidad en Fisica.

It has been over a decade since the release first edition of the now classic original edition of Murray''s Mathematical Biology.Since then mathematical biology and medicine has grown at an astonishing rate and has established itself as a distinct discipline. Mathematical modelling is now being applied in every major discipline in the biomedical sciences. Though the field has become increasingly large and specialized, this book remains important as a text that introduces some of the exciting problems which arise in the biomedical sciences and gives some indication of the wide spectrum of questions that modelling can address.Due to the tremendous development in recent years, this new edition is being published in two volumes. This second volume covers spatial models and biomedical applications. For this new edition, Murray covers certain items in depth, introducing new applications such as modelling growth and control of brain tumours, bacterial patterns, wound healing and wolf territoriality. In other areas, he discusses basic modelling concepts and provides further references as needed. He also provides even closer links between models and experimental data throughout the text.Graduate students and researchers will find this book invaluable as it gives an excellent background from which to begin genuinely practical interdisciplinary research in the biomedical sciences.

Differential equations are the basis for models of any physical systems that exhibit smooth change.This book combines traditional teaching on ordinary differential equations with an introduction to the more modern theory of dynamical systems, placing this theory in the context of applications to physics, biology, chemistry, and engineering. Beginning with linear systems, including matrix algebra, the focus then shifts to foundational material on non-linear differential equations, drawing heavily on the contraction mapping theorem. Subsequent chapters deal specifically with dynamical systems concepts - flow, chaos, invariant manifolds, bifurcation, etc.An appendix provides simple codes written in Maple, Mathematica, and MATLAB software to give students practice with computation applied to dynamical systems problems. For senior undergraduates and first-year graduate students in pure and applied mathematics, engineering, and the physical sciences. Readers should be comfortable with differential equations and linear algebra and have had some exposure to advanced calculus.- Combines a traditional theoretical development of ordinary differential equations with a modern dynamical systems viewpoint and an emphasis on applications.- Provides a broad perspective on the development of invariant manifolds, bifurcation theory, chaos and geometric Hamiltonian dynamics.- Exercises and examples include applications to biological, electronic, mechanical, fluid, plasma and chemical dynamics.

It has been over a decade since the release of the now classic original edition of Murray''s Mathematical Biology.Since then mathematical biology has grown at an astonishing rate and is well established as a distinct discipline. Mathematical modeling is now being applied in every major discipline in the biomedical sciences. Though the field has become increasingly large and specialized, this book remains important as a text that introduces some of the exciting problems that arise in biology and gives some indication of the wide spectrum of questions that modeling can address.Due to the tremendous development in the field this book is being published in two volumes. This first volume is an introduction to the field, the mathematics mainly involves ordinary differential equations that are suitable for undergraduate and graduate courses at different levels. For this new edition Murray is covering certain items in depth, giving new applications such as modeling marital interactions and temperature dependence sex determination.SIAM, 2004: "Murray''s Mathematical Biology is a classic that belongs on the shelf of any serious student or researcher in the field. Together the two volumes contain well over 1000 references, a rich source of material, together with an excellent index to help readers quickly find key words. ... I recommend the new and expanded third edition to any serious young student interested in mathematical biology who already has a solid basis in applied mathematics."