Showing posts with label mathematical. Show all posts
Showing posts with label mathematical. Show all posts

Friday, April 19, 2013

Best Physical Oceanography: A Mathematical Introduction with MATLAB



Physical Oceanography: A Mathematical Introduction with MATLAB by Chapman and Hall/CRC




Accessible to advanced undergraduate students, Physical Oceanography: A Mathematical Introduction with MATLAB® demonstrates how to use the basic tenets of multivariate calculus to derive the governing equations of fluid dynamics in a rotating frame. It also explains how to use linear algebra and partial differential equations (PDEs) to solve basic initial-boundary value problems that have become the hallmark of physical oceanography. The book makes the most of MATLAB’s matrix algebraic functions, differential equation solvers, and visualization capabilities.

Focusing on the interplay between applied mathematics and geophysical fluid dynamics, the text presents fundamental analytical and computational tools necessary for modeling ocean currents. In physical oceanography, the fluid flows of interest occur on a planet that rotates; this rotation can balance the forces acting on the fluid particles in such a delicate fashion to produce exquisite phenomena, such as the Gulf Stream, the Jet Stream, and internal waves. It is precisely because of the role that rotation plays in oceanography that the field is fundamentally different from the rectilinear fluid flows typically observed and measured in laboratories. Much of this text discusses how the existence of the Gulf Stream can be explained by the proper balance among the Coriolis force, wind stress, and molecular frictional forces.

Through the use of MATLAB, the author takes a fresh look at advanced topics and fundamental problems that define physical oceanography today. The projects in each chapter incorporate a significant component of MATLAB programming. These projects can be used as capstone projects or honors theses for students inclined to pursue a special project in applied mathematics.

Read more Physical Oceanography: A Mathematical Introduction with MATLAB

Physical Oceanography: A Mathematical Introduction with MATLAB Feature





+++ Revews A Biologist's Guide to Mathematical Modeling in Ecology and Evolution


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A Biologist's Guide to Mathematical Modeling in Ecology and Evolution
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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


A Biologist's Guide to Mathematical Modeling in Ecology and Evolution Feature

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Tuesday, March 19, 2013

Mathematical Biology: I. An Introduction (Interdisciplinary Applied Mathematics) (Pt. 1) Shopping


Buy Mathematical Biology: I. An Introduction (Interdisciplinary Applied Mathematics) (Pt. 1)

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Mathematical Biology: I. An Introduction (Interdisciplinary Applied Mathematics) (Pt. 1)


Mathematical Biology is a richly illustrated textbook in an exciting and fast growing field. Providing an in-depth look at the practical use of math modeling, it features exercises throughout that are drawn from a variety of bioscientific disciplines - population biology, developmental biology, physiology, epidemiology, and evolution, among others. It maintains a consistent level throughout so that graduate students can use it to gain a foothold into this dynamic research area.



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Mathematical Biology: I. An Introduction (Interdisciplinary Applied Mathematics) (Pt. 1) Feature






Friday, March 1, 2013

Best Mathematical Methods for Physics and Engineering: A Comprehensive Guide



Mathematical Methods for Physics and Engineering: A Comprehensive Guide by Cambridge University Press




The third edition of this highly acclaimed undergraduate textbook is suitable for teaching all the mathematics for an undergraduate course in any of the physical sciences. As well as lucid descriptions of all the topics and many worked examples, it contains over 800 exercises. New stand-alone chapters give a systematic account of the 'special functions' of physical science, cover an extended range of practical applications of complex variables, and give an introduction to quantum operators. Further tabulations, of relevance in statistics and numerical integration, have been added. In this edition, half of the exercises are provided with hints and answers and, in a separate manual available to both students and their teachers, complete worked solutions. The remaining exercises have no hints, answers or worked solutions and can be used for unaided homework; full solutions are available to instructors on a password-protected web site, www.cambridge.org/9780521679718.Read more Mathematical Methods for Physics and Engineering: A Comprehensive Guide

Mathematical Methods for Physics and Engineering: A Comprehensive Guide Feature





Thursday, February 28, 2013

****** Save Mathematical Methods in the Physical Sciences


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Mathematical Methods in the Physical Sciences

Mathematical Methods in the Physical Sciences Description

Now in its third edition, Mathematical Concepts in the Physical Sciences provides a comprehensive introduction to the areas of mathematical physics. It combines all the essential math concepts into one compact, clearly written reference.