Sebanyak 564 item atau buku ditemukan

Introduction to Partial Differential Equations

A Computational Approach

This is the softcover reprint of a popular book teaching the basic analytical and computational methods of partial differential equations. It includes coverage of standard topics such as separation of variables, Fourier analysis, and energy estimates.

This book teaches basic methods of partial differential equations and introduces related important ideas associated with the analysis of numerical methods for those partial differential equations.

Introduction to Partial Differential Equations

This textbook is designed for a one year course covering the fundamentals of partial differential equations, geared towards advanced undergraduates and beginning graduate students in mathematics, science, engineering, and elsewhere. The exposition carefully balances solution techniques, mathematical rigor, and significant applications, all illustrated by numerous examples. Extensive exercise sets appear at the end of almost every subsection, and include straightforward computational problems to develop and reinforce new techniques and results, details on theoretical developments and proofs, challenging projects both computational and conceptual, and supplementary material that motivates the student to delve further into the subject. No previous experience with the subject of partial differential equations or Fourier theory is assumed, the main prerequisites being undergraduate calculus, both one- and multi-variable, ordinary differential equations, and basic linear algebra. While the classical topics of separation of variables, Fourier analysis, boundary value problems, Green's functions, and special functions continue to form the core of an introductory course, the inclusion of nonlinear equations, shock wave dynamics, symmetry and similarity, the Maximum Principle, financial models, dispersion and solutions, Huygens' Principle, quantum mechanical systems, and more make this text well attuned to recent developments and trends in this active field of contemporary research. Numerical approximation schemes are an important component of any introductory course, and the text covers the two most basic approaches: finite differences and finite elements.

While the classical topics of separation of variables, Fourier analysis, boundary value problems, Green's functions, and special functions continue to form the core of an introductory course, the inclusion of nonlinear equations, shock wave ...

An Introduction to Linear Ordinary Differential Equations Using the Impulsive Response Method and Factorization

This book presents a method for solving linear ordinary differential equations based on the factorization of the differential operator. The approach for the case of constant coefficients is elementary, and only requires a basic knowledge of calculus and linear algebra. In particular, the book avoids the use of distribution theory, as well as the other more advanced approaches: Laplace transform, linear systems, the general theory of linear equations with variable coefficients and variation of parameters. The case of variable coefficients is addressed using Mammana’s result for the factorization of a real linear ordinary differential operator into a product of first-order (complex) factors, as well as a recent generalization of this result to the case of complex-valued coefficients.

This book presents a method for solving linear ordinary differential equations based on the factorization of the differential operator.

An Introduction to Delay Differential Equations with Applications to the Life Sciences

This book is intended to be an introduction to Delay Differential Equations for upper level undergraduates or beginning graduate mathematics students who have a reasonable background in ordinary differential equations and who would like to get to the applications quickly. The author has used preliminary notes in teaching such a course at Arizona State University over the past two years. This book focuses on the key tools necessary to understand the applications literature involving delay equations and to construct and analyze mathematical models involving delay differential equations. The book begins with a survey of mathematical models involving delay equations.

This book is intended to be an introduction to Delay Differential Equations for upper level undergraduates or beginning graduate mathematics students who have a reasonable background in ordinary differential equations and who would like to ...

Introduction to Ordinary Differential Equations with Mathematica

An Integrated Multimedia Approach

These materials - developed and thoroughly class tested over many years by the authors -are for use in courses at the sophomore/junior level. A prerequisite is the calculus of one variable, although calculus of several variables, and linear algebra are recommended. The text covers the standard topics in first and second order equations, power series solutions, first order systems, Laplace transforms, numerical methods and stability of non-linear systems. Liberal use is made of programs in Mathematica, both for symbolic computations and graphical displays. The programs are described in separate sections, as well as in the accompanying Mathematica notebooks. However, the book has been designed so that it can be read with or without Mathematica and no previous knowledge of Mathematica is required. The CD-ROM contains the Mathematica solution of worked examples, a selection of various Mathematica notebooks, Mathematica movies and sample labs for students. Mathematica programs and additional problem/example files will be available online through the TELOS Web site and the authors dedicated web site.

The text covers the standard topics in first and second order equations, power series solutions, first order systems, Laplace transforms, numerical methods and stability of non-linear systems.

An Introduction to Ordinary Differential Equations

Ordinary differential equations serve as mathematical models for many exciting real world problems. Rapid growth in the theory and applications of differential equations has resulted in a continued interest in their study by students in many disciplines. This textbook organizes material around theorems and proofs, comprising of 42 class-tested lectures that effectively convey the subject in easily manageable sections. The presentation is driven by detailed examples that illustrate how the subject works. Numerous exercise sets, with an "answers and hints" section, are included. The book further provides a background and history of the subject.

The presentation is driven by detailed examples that illustrate how the subject works. Numerous exercise sets, with an "answers and hints" section, are included. The book further provides a background and history of the subject.

How to Write a Better Thesis

From proposal to examination, producing a dissertation or thesis is a challenge. Grounded in decades of experience with research training and supervision, this fully updated and revised edition takes an integrated, down-to-earth approach drawing on case studies and examples to guide you step-by-step towards productive success. Early chapters frame the tasks ahead and show you how to get started. From there, practical advice and illustrations take you through the elements of formulating research questions, working with software, and purposeful writing of each of the different kinds of chapters, and finishes with a focus on revision, dissemination and deadlines. How to Write a Better Thesis presents a cohesive approach to research that will help you succeed.

3. Mechanics. of. Writing. Given a structure, the next challenge is to actually begin
writing. Strategies for writing are the subject of the next chapter. In this chapter, I
take a brief detour and consider some of the tools of writing and communication.

How to Write a Successful Research Grant Application

A Guide for Social and Behavioral Scientists

Over the last fifty years behavioral and medical research has been generously supported by the federal government, private foundations, and other philanthropic organizations contributing to the development of a vibrant public health system both in the United States and worldwide. However, these funds are dwindling and to stay competitive, investigators must understand the funding environment and know how to translate their hypotheses into research grant applications that reviewers evaluate as having scientific merit. The Second Edition of ‘How to Write a Successful Research Grant Application’ is the only book of its kind written by federal research investigators which provides technical assistance for researchers applying for biobehavioral and psychosocial research funding and can give them an edge in this competitive environment. The book provides invaluable tips on all aspects of the art of grantsmanship, including: how to determine research opportunities and priorities, how to develop the different elements of an application, how to negotiate the electronic submission and review processes, and how to disseminate the findings. Charts, visual aids, Web links, an extensive real-world example of a research proposal with budget, and a "So You Were Awarded Your Grant—Now What?" chapter show prospective applicants how to: - Formulate a testworthy—and interesting—hypothesis. - Select the appropriate research mechanism. - Avoid common pitfalls in proposal writing. - Develop an adequate control group. - Conduct a rigorous qualitative inquiry. - Develop a budget justification of costs. - Develop a human subjects of animal welfare plan. - Write a data analytic plan. - Design a quality control/assurance program. - Read between the lines of a summary of the review of your application. Although its focus is on Public Health Service funding, ‘How to Write a Successful Research Grant’ is equally useful for all research proposals, including graduate students preparing a thesis or dissertation proposal. Service providers in community-based organizations and public health agencies will also find this a useful resource in preparing a proposal to compete for grant funds from state and community resources, non-government organizations, and foundations.

(eds.), How to Write a Successful Research Grant Application: A Guidefor Social
and Behavioral Scientists, DOI 10.1007/978-1-4419-1454-5_4, © Springer
Science+Business Media, LLC 2011 to support research training for
underrepresented ...

Data Structures of Pascal, Algol 68, PL/1 and Ada

This book is intended as a text for a course in programming languages. The pre requisites for such a course are insight in structured programming and knowledge as well as practical experience of at least one (e.g., Pascal) of the programming languages treated in the book. The emphasis is on language concepts rather than on syntactic details. The book covers a number of important language concepts that are related to data struc tures. The comparison of the programming languages Pascal, Algol 68, PL/1 and Ada consists in investigating how these concepts are supported by each of these languages. Interesting evaluation criteria are generality, simplicity, safety, readability and portability. The study of programming languages is based on a simple model called SMALL. This model serves as a didactic vehicle for describing, comparing and evaluating data structures in various programming languages. Each chapter centers around a specific language concept. It consists of a general discussion followed by a number of language sections, one for each of the languages Pascal, Algol 68, PL/1 and Ada. Each of these sections contains a number of illustrating program fragments written in the programming language concerned. For each program fragment in one language, there is an analogous fragment in the others. The book can be read "vertically" so that the programming languages Pascal, Algol 68, PL/1 and Ada are encountered in that order several times. A "horizontal" reading of the book would consist in selecting only those sections which only concern one language.

This book is intended as a text for a course in programming languages.

Progress in Botany 68

With one volume each year, this series keeps scientists and advanced students informed of the latest developments and results in all areas of the plant sciences. The present volume includes reviews on genetics, cell biology, physiology, comparative morphology, systematics, ecology, and vegetation science.

V m A further step towards understanding the dynamics of the whole process was
obtained by combining the aforementioned model on voltage dependent IP3
production with a well-established model from animal cells. This animal cell
model ...