Author: Dragoslav S. Mitrinovic
Publisher: Springer Science & Business Media
ISBN: 9789027716231
Category : Mathematics
Languages : en
Pages : 218
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Book Description
Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not' grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory arid the struc ture of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "completely integrable systems", "chaos, synergetics and large-5cale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics. This program, Mathematics and Its Applications, is devoted to such (new) interrelations as exampla gratia: - a central concept which plays an important role in several different mathe matical and/or scientific specialized areas; - new applications of the results and ideas from one area of scientific en deavor into another; - influences which the results, problems and concepts of one field of enquiry have and have had on the development of another.
Author: Dragoslav S. Mitrinovic
Publisher: Springer Science & Business Media
ISBN: 9401120005
Category : Mathematics
Languages : en
Pages : 206
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Book Description
Volume 1, i. e. the monograph The Cauchy Method of Residues - Theory and Applications published by D. Reidel Publishing Company in 1984 is the only book that covers all known applications of the calculus of residues. They range from the theory of equations, theory of numbers, matrix analysis, evaluation of real definite integrals, summation of finite and infinite series, expansions of functions into infinite series and products, ordinary and partial differential equations, mathematical and theoretical physics, to the calculus of finite differences and difference equations. The appearance of Volume 1 was acknowledged by the mathematical community. Favourable reviews and many private communications encouraged the authors to continue their work, the result being the present book, Volume 2, a sequel to Volume 1. We mention that Volume 1 is a revised, extended and updated translation of the book Cauchyjev raeun ostataka sa primenama published in Serbian by Nau~na knjiga, Belgrade in 1978, whereas the greater part of Volume 2 is based upon the second Serbian edition of the mentioned book from 1991. Chapter 1 is introductory while Chapters 2 - 6 are supplements to the corresponding chapters of Volume 1. They mainly contain results missed during the preparation of Volume 1 and also some new results published after 1982. Besides, certain topics which were only briefly mentioned in Volume 1 are treated here in more detail.
Author: Dragoslav S. Mitrinović
Publisher:
ISBN: 9780792323112
Category :
Languages : en
Pages : 191
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Book Description
Author: Dragoslav S. MITRINOVIĆ
Publisher:
ISBN:
Category : Analytic functions
Languages : en
Pages : 361
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Book Description
Author: Dragoslav S. Mitrinovic
Publisher: Springer
ISBN: 9789401568722
Category : Mathematics
Languages : en
Pages : 0
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Book Description
Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not' grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory arid the struc ture of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "completely integrable systems", "chaos, synergetics and large-5cale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics. This program, Mathematics and Its Applications, is devoted to such (new) interrelations as exampla gratia: - a central concept which plays an important role in several different mathe matical and/or scientific specialized areas; - new applications of the results and ideas from one area of scientific en deavor into another; - influences which the results, problems and concepts of one field of enquiry have and have had on the development of another.
Author: Frank C. Hoppensteadt
Publisher: Springer Science & Business Media
ISBN: 0387989439
Category : Mathematics
Languages : en
Pages : 331
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Book Description
Beginning with realistic mathematical or verbal models of physical or biological phenomena, the author derives tractable models for further mathematical analysis or computer simulations. For the most part, derivations are based on perturbation methods, and the majority of the text is devoted to careful derivations of implicit function theorems, the method of averaging, and quasi-static state approximation methods. The duality between stability and perturbation is developed and used, relying heavily on the concept of stability under persistent disturbances. Relevant topics about linear systems, nonlinear oscillations, and stability methods for difference, differential-delay, integro-differential and ordinary and partial differential equations are developed throughout the book. For the second edition, the author has restructured the chapters, placing special emphasis on introductory materials in Chapters 1 and 2 as distinct from presentation materials in Chapters 3 through 8. In addition, more material on bifurcations from the point of view of canonical models, sections on randomly perturbed systems, and several new computer simulations have been added.
Author: Robert Splinter
Publisher: CRC Press
ISBN: 1351625632
Category : Science
Languages : en
Pages : 2045
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Book Description
This resource provides a single, concise reference containing terms and expressions used in the study, practice, and application of physical sciences. The reader will be able to identify quickly critical information about professional jargon, important people, and events. The encyclopedia gives self-contained definitions with essentials regarding the meaning of technical terms and their usage, as well as about important people within various fields of physics and engineering, with highlights of technical and practical aspects related to cross-functional integration. It will be indispensable for anyone working on applications in biomedicine, materials science, chemical engineering, electrical engineering, mechanical engineering, geology, astronomy, and energy. It also includes handy tables and chronological timelines organized by subject area and giving an overview on the historical development of ideas and discovery.
Author: Dean G. Duffy
Publisher: CRC Press
ISBN: 1420035142
Category : Mathematics
Languages : en
Pages : 727
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Book Description
Transform methods provide a bridge between the commonly used method of separation of variables and numerical techniques for solving linear partial differential equations. While in some ways similar to separation of variables, transform methods can be effective for a wider class of problems. Even when the inverse of the transform cannot be found ana
Author: Dean G. Duffy
Publisher: CRC Press
ISBN: 1439816247
Category : Mathematics
Languages : en
Pages : 1107
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Book Description
Taking a practical approach to the subject, Advanced Engineering Mathematics with MATLAB®, Third Edition continues to integrate technology into the conventional topics of engineering mathematics. The author employs MATLAB to reinforce concepts and solve problems that require heavy computation. MATLAB scripts are available for download at www.crcpress.com Along with new examples, problems, and projects, this updated and expanded edition incorporates several significant improvements. New to the Third Edition New chapter on Green’s functions New section that uses the matrix exponential to solve systems of differential equations More numerical methods for solving differential equations, including Adams–Bashforth and finite element methods New chapter on probability that presents basic concepts, such as mean, variance, and probability density functions New chapter on random processes that focuses on noise and other random fluctuations Suitable for a differential equations course or a variety of engineering mathematics courses, the text covers fundamental techniques and concepts as well as Laplace transforms, separation of variable solutions to partial differential equations, the z-transform, the Hilbert transform, vector calculus, and linear algebra. It also highlights many modern applications in engineering to show how these topics are used in practice. A solutions manual is available for qualifying instructors.
Author: G. B. GURUNG
Publisher: PHI Learning Pvt. Ltd.
ISBN: 8120334221
Category : Technology & Engineering
Languages : en
Pages : 632
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Book Description
A valuable introduction to Signals and Systems, this textbook has been developed by the author from his experience of teaching this particular subject to undergraduate students. It is suitable for B.E./B.Tech students in such disciplines as Electrical Engineering, Electronics and Communication Engineering, Computer Science and Engineering, Information Technology, and Biomedical Engineering. The book provides a clear understanding of the issues that students face in assimilating this highly mathematical subject. It is a comprehensive analytical treatment of signals and systems with a strong emphasis on solving problems. Each topic is supported by sufficient numbers of solved examples. Besides, a variety of tricky objective type questions have been included at the end of every chapter. Emphasizing systems approach, the book offers a unified treatment of both continuous-time and discrete-time signals and systems. The analysis tools such as Fourier transform, Laplace transform, sampling theorem and Z-transform are presented elaborately. Conceptual understanding is reinforced through plenty of worked examples. The book concludes with a chapter focused on realization of Finite Impulse Response (FIR) and Infinite Impulse Response (IIR) filters. Several appendices provide the requisite background mathematical material for ease of reference by the students
