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Author: A.L. Smit
Publisher: Springer Science & Business Media
ISBN: 366204188X
Category : Science
Languages : en
Pages : 590
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Book Description
A comprehensive review of all modern methods for plant root research, both in the field and in the laboratory. It covers the effects of environmental interactions with root growth and function, focussing in particular on the assessment of root distribution and dynamics. It also describes and discusses the processing of root observations, analysis and modelling of root growth and architecture, root-image analysis, computer-assisted tomography and magnetic resonance imaging. Furthermore, a survey of the application of isotope techniques in root physiology is given.
Author: A.L. Smit
Publisher: Springer Science & Business Media
ISBN: 366204188X
Category : Science
Languages : en
Pages : 590
Get Book Here
Book Description
A comprehensive review of all modern methods for plant root research, both in the field and in the laboratory. It covers the effects of environmental interactions with root growth and function, focussing in particular on the assessment of root distribution and dynamics. It also describes and discusses the processing of root observations, analysis and modelling of root growth and architecture, root-image analysis, computer-assisted tomography and magnetic resonance imaging. Furthermore, a survey of the application of isotope techniques in root physiology is given.
Author: G. Shanker Rao
Publisher: I. K. International Pvt Ltd
ISBN: 8188237574
Category :
Languages : en
Pages : 618
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Book Description
Mathematical Methods is designed to meet the requirements of students of science and engineering.The book offers the following topics:Interpolation, curve fitting matrics, Eigen values and Eigen vectors, Quardratic forms, Fourier series, Partial differential equations and Z-transforms. Each chapter is supplemented with a number of worked-out examples as well as number of problems to be solved by the students. This would help in the better understanding of the subject.
Author: Joe D. Hoffman
Publisher: CRC Press
ISBN: 9780824704438
Category : Mathematics
Languages : en
Pages : 842
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Book Description
Emphasizing the finite difference approach for solving differential equations, the second edition of Numerical Methods for Engineers and Scientists presents a methodology for systematically constructing individual computer programs. Providing easy access to accurate solutions to complex scientific and engineering problems, each chapter begins with objectives, a discussion of a representative application, and an outline of special features, summing up with a list of tasks students should be able to complete after reading the chapter- perfect for use as a study guide or for review. The AIAA Journal calls the book "...a good, solid instructional text on the basic tools of numerical analysis."
Author: J.M. McNamee
Publisher: Elsevier Inc. Chapters
ISBN: 0128076992
Category : Mathematics
Languages : en
Pages : 182
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Book Description
Whereas Newton’s method involves only the first derivative, methods discussed in this chapter involve the second or higher. The “classical” methods of this type (such as Halley’s, Euler’s, Hansen and Patrick’s, Ostrowski’s, Cauchy’s and Chebyshev’s) are all third order with three evaluations, so are slightly more efficient than Newton’s method. Convergence of some of these methods is discussed, as well as composite variations (some of which have fairly high efficiency). We describe special methods for multiple roots, simultaneous or interval methods, and acceleration techniques. We treat Laguerre’s method, which is known to be globally convergent for all-real-roots. The Cluster-Adapted Method is useful for multiple or near-multiple roots. Several composite methods are discussed, as well as methods using determinants or various types of interpolation, and Schroeder’s method.
Author: W. Böhm
Publisher: Springer Science & Business Media
ISBN: 3642672825
Category : Science
Languages : en
Pages : 202
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Book Description
Root research under natural field conditions is still a step-child of science. The reason for this is primarily methodological. The known methods are tedious, time consuming, and the accuracy of their results is often not very great. Many research workers have been discouraged by doing such root studies. The need for more information on the development and distribution of plant roots in different soils under various ecological conditions is, however, obvious in many ecological disciplines. Especially the applied botanical sciences such as agriculture, horticulture, and forestry are interested in obtaining more data on plant roots in the soil. This book will give a survey of existing methods in ecological root research. Primarily field methods are presented; techniques for pot experiments are described only so far as they are important for solving ecological problems. Laboratory methods for studying root physiology are not covered in this book. Scientific publications on roots are scattered in many different journals published all over the world. By working through the international root literature I found that about ten thousand papers on root ecology have been published at the present. This is not very much compared with the immense literature on the aboveground parts of the plants, but is, however, too much to cite in this book.
Author: M. K. Jain
Publisher: New Age International
ISBN: 8122415342
Category : Numerical analysis
Languages : en
Pages : 71
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Book Description
Is An Outline Series Containing Brief Text Of Numerical Solution Of Transcendental And Polynomial Equations, System Of Linear Algebraic Equations And Eigenvalue Problems, Interpolation And Approximation, Differentiation And Integration, Ordinary Differential Equations And Complete Solutions To About 300 Problems. Most Of These Problems Are Given As Unsolved Problems In The Authors Earlier Book. User Friendly Turbo Pascal Programs For Commonly Used Numerical Methods Are Given In The Appendix. This Book Can Be Used As A Text/Help Book Both By Teachers And Students.
Author: Florian Cajori
Publisher:
ISBN:
Category : Equations
Languages : en
Pages : 58
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Book Description
Author: NITA H. SHAH
Publisher: PHI Learning Pvt. Ltd.
ISBN: 9788120335967
Category : Computers
Languages : en
Pages : 328
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Book Description
The rapid development of high speed digital computers and the increasing desire for numerical answers to applied problems have led to increased demands in the courses dealing with the methods and techniques of numerical analysis. Numerical methods have always been useful but their role in the present-day scientific research has become prominent. For example, they enable one to find the roots of transcendental equations and in solving nonlinear differential equations. Indeed, they give the solution when ordinary analytical methods fail. This well-organized and comprehensive text aims at enhancing and strengthening numerical methods concepts among students using C++ programming, a fast emerging preferred programming language among software developers. The book provides an synthesis of both theory and practice. It focuses on the core areas of numerical analysis including algebraic equations, interpolation, boundary value problem, and matrix eigenvalue problems. The mathematical concepts are supported by a number of solved examples. Extensive self-review exercises and answers are provided at the end of each chapter to help students review and reinforce the key concepts. KEY FEATURES : C++ programs are provided for all numerical methods discussed. More than 400 unsolved problems and 200 solved problems are included to help students test their grasp of the subject. The book is intended for undergraduate and postgraduate students of Mathematics, Engineering and Statistics. Besides, students pursuing BCA and MCA and having Numerical Methods with C++ Programming as a subject in their course will benefit from this book.
Author: Barbara S Bertram
Publisher: CRC Press
ISBN: 9781420036039
Category : Mathematics
Languages : en
Pages : 380
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Book Description
Based on proceedings of the International Conference on Integral Methods in Science and Engineering, this collection of papers addresses the solution of mathematical problems by integral methods in conjunction with approximation schemes from various physical domains. Topics and applications include: wavelet expansions, reaction-diffusion systems, variational methods , fracture theory, boundary value problems at resonance, micromechanics, fluid mechanics, combustion problems, nonlinear problems, elasticity theory, and plates and shells.
Author: James F. Epperson
Publisher: John Wiley & Sons
ISBN: 0470049634
Category : Mathematics
Languages : en
Pages : 592
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Book Description
Praise for the First Edition ". . . outstandingly appealing with regard to its style, contents, considerations of requirements of practice, choice of examples, and exercises." —Zentrablatt Math ". . . carefully structured with many detailed worked examples . . ." —The Mathematical Gazette ". . . an up-to-date and user-friendly account . . ." —Mathematika An Introduction to Numerical Methods and Analysis addresses the mathematics underlying approximation and scientific computing and successfully explains where approximation methods come from, why they sometimes work (or don't work), and when to use one of the many techniques that are available. Written in a style that emphasizes readability and usefulness for the numerical methods novice, the book begins with basic, elementary material and gradually builds up to more advanced topics. A selection of concepts required for the study of computational mathematics is introduced, and simple approximations using Taylor's Theorem are also treated in some depth. The text includes exercises that run the gamut from simple hand computations, to challenging derivations and minor proofs, to programming exercises. A greater emphasis on applied exercises as well as the cause and effect associated with numerical mathematics is featured throughout the book. An Introduction to Numerical Methods and Analysis is the ideal text for students in advanced undergraduate mathematics and engineering courses who are interested in gaining an understanding of numerical methods and numerical analysis.
