concise numerical mathematics graduate studies in mathematics z

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Concise Numerical Mathematics

Author : Robert Plato
ISBN : 9780821829530
Genre : Mathematics
File Size : 48. 89 MB
Format : PDF
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This textbook is a concise introduction to the fundamental concepts and methods of numerical mathematics. The author manages to cover the many important topics while avoiding redundancies and using well-chosen examples and exercises. The exposition is supplemented by numerous figures. Work estimates and pseudo codes are provided for many algorithms, which can be easily converted to computer programs. Topics covered include interpolation, the fast Fourier transform, iterative methods for solving systems of linear and nonlinear equations, numerical methods for solving ODEs, numerical methods for matrix eigenvalue problems, approximation theory, and computer arithmetic. The book is suitable as a text for a first course in numerical methods for mathematics students or students in neighboring fields, such as engineering, physics, and computer science. In general, the author assumes only a knowledge of calculus and linear algebra.

Collocation Methods For Volterra Integral And Related Functional Differential Equations

Author : Hermann Brunner
ISBN : 0521806151
Genre : Mathematics
File Size : 56. 74 MB
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Collocation based on piecewise polynomial approximation represents a powerful class of methods for the numerical solution of initial-value problems for functional differential and integral equations arising in a wide spectrum of applications, including biological and physical phenomena. The present book introduces the reader to the general principles underlying these methods and then describes in detail their convergence properties when applied to ordinary differential equations, functional equations with (Volterra type) memory terms, delay equations, and differential-algebraic and integral-algebraic equations. Each chapter starts with a self-contained introduction to the relevant theory of the class of equations under consideration. Numerous exercises and examples are supplied, along with extensive historical and bibliographical notes utilising the vast annotated reference list of over 1300 items. In sum, Hermann Brunner has written a treatise that can serve as an introduction for students, a guide for users, and a comprehensive resource for experts.

Engineering Mathematics With Examples And Applications

Author : Xin-She Yang
ISBN : 9780128099025
Genre : Mathematics
File Size : 20. 74 MB
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Engineering Mathematics with Examples and Applications provides a compact and concise primer in the field, starting with the foundations, and then gradually developing to the advanced level of mathematics that is necessary for all engineering disciplines. Therefore, this book's aim is to help undergraduates rapidly develop the fundamental knowledge of engineering mathematics. The book can also be used by graduates to review and refresh their mathematical skills. Step-by-step worked examples will help the students gain more insights and build sufficient confidence in engineering mathematics and problem-solving. The main approach and style of this book is informal, theorem-free, and practical. By using an informal and theorem-free approach, all fundamental mathematics topics required for engineering are covered, and readers can gain such basic knowledge of all important topics without worrying about rigorous (often boring) proofs. Certain rigorous proof and derivatives are presented in an informal way by direct, straightforward mathematical operations and calculations, giving students the same level of fundamental knowledge without any tedious steps. In addition, this practical approach provides over 100 worked examples so that students can see how each step of mathematical problems can be derived without any gap or jump in steps. Thus, readers can build their understanding and mathematical confidence gradually and in a step-by-step manner. Covers fundamental engineering topics that are presented at the right level, without worry of rigorous proofs Includes step-by-step worked examples (of which 100+ feature in the work) Provides an emphasis on numerical methods, such as root-finding algorithms, numerical integration, and numerical methods of differential equations Balances theory and practice to aid in practical problem-solving in various contexts and applications

A Concise History Of Mathematics

Author : Dirk J. Struik
ISBN : 9780486138886
Genre : Science
File Size : 40. 56 MB
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Compact, well-written survey ranges from the ancient Near East to 20th-century computer theory, covering Archimedes, Pascal, Gauss, Hilbert, and many others. "A work which is unquestionably one of the best." — Nature.

The Vnr Concise Encyclopedia Of Mathematics

Author : S. Gottwald
ISBN : 9789401169820
Genre : Science
File Size : 59. 46 MB
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It is commonplace that in our time sc:iem:e and technology cannot be mastered without the tools of mathematics; but the same applies to an ever growing extent to many domains of everyday life, not least owing to the spread of cybernetic methods and arguments. As a consequence, there is a wide demand for a survey of the results of mathematics. for an unconventional approach that would also make it possible to fill gaps in one's knowledge. We do not think that a mere juxtaposition of theorems or a collection of formulae would be suitable for this purpose, because this would over· emphasize the symbolic language of signs and letters rather than the mathematical idea, the only thing that really matters. Our task was to describe mathematical interrelations as briefly and precisely as possible. In view of the overwhelming amount of material it goes without saying that we did not just compile details from the numerous text-books for individual branches: what we were aiming at is to smooth out the access to the specialist literature for as many readers as possible. Since well over 700000 copies of the German edition of this book have been sold, we hope to have achieved our difficult goal. Colours are used extensively to help the reader. Important definitions and groups of formulae are on a yellow background, examples on blue, and theorems on red.

Complex Numbers From A To Z

Author : Titu Andreescu
ISBN : 9780817684150
Genre : Mathematics
File Size : 40. 11 MB
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* Learn how complex numbers may be used to solve algebraic equations, as well as their geometric interpretation * Theoretical aspects are augmented with rich exercises and problems at various levels of difficulty * A special feature is a selection of outstanding Olympiad problems solved by employing the methods presented * May serve as an engaging supplemental text for an introductory undergrad course on complex numbers or number theory

Mathematics For Computer Science

Author : Eric Lehman
ISBN : 9888407066
Genre :
File Size : 45. 87 MB
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This book covers elementary discrete mathematics for computer science and engineering. It emphasizes mathematical definitions and proofs as well as applicable methods. Topics include formal logic notation, proof methods; induction, well-ordering; sets, relations; elementary graph theory; integer congruences; asymptotic notation and growth of functions; permutations and combinations, counting principles; discrete probability. Further selected topics may also be covered, such as recursive definition and structural induction; state machines and invariants; recurrences; generating functions.

Mapping Degree Theory

Author : Enrique Outerelo
ISBN : 9780821849156
Genre : Mathematics
File Size : 27. 26 MB
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This textbook treats the classical parts of mapping degree theory, with a detailed account of its history traced back to the first half of the 18th century. After a historical first chapter, the remaining four chapters develop the mathematics. An effort is made to use only elementary methods, resulting in a self-contained presentation. Even so, the book arrives at some truly outstanding theorems: the classification of homotopy classes for spheres and the Poincare-Hopf Index Theorem, as well as the proofs of the original formulations by Cauchy, Poincare, and others. Although the mapping degree theory you will discover in this book is a classical subject, the treatment is refreshing for its simple and direct style. The straightforward exposition is accented by the appearance of several uncommon topics: tubular neighborhoods without metrics, differences between class 1 and class 2 mappings, Jordan Separation with neither compactness nor cohomology, explicit constructions of homotopy classes of spheres, and the direct computation of the Hopf invariant of the first Hopf fibration. The book is suitable for a one-semester graduate course. There are 180 exercises and problems of different scope and difficulty.

Matrix Analysis

Author : Rajendra Bhatia
ISBN : 9781461206538
Genre : Mathematics
File Size : 89. 35 MB
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This book presents a substantial part of matrix analysis that is functional analytic in spirit. Topics covered include the theory of majorization, variational principles for eigenvalues, operator monotone and convex functions, and perturbation of matrix functions and matrix inequalities. The book offers several powerful methods and techniques of wide applicability, and it discusses connections with other areas of mathematics.

Concise Encyclopedia Of Special Education

Author : Cecil R. Reynolds
ISBN : 0471652512
Genre : Business & Economics
File Size : 88. 43 MB
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The Concise Encyclopedia of Special Education, Second Edition is a comprehensive resource for those working in the fields of special education research and practice. Featuring reviews of assessment instruments and teaching approaches, legal issues, overviews of specific learning disabilities, dozens of biographies, and more, this complete desk reference is an indispensable guide for professionals, academics, and students alike. Named an American Library Association Top 25 Reference of the Year in its First Edition, The Concise Encyclopedia serves as an important reference for the education of handicapped and other exceptional children. Written and edited by highly regarded and respected experts in the fields of special education and psychology, this authoritative resource guide provides a reference base for educators as well as professionals in the areas of psychology, neuropsychology, medicine, health care, social work and law. Additionally, this acclaimed reference work is essential for administrators, psychologists, diagnosticians, and school counselors, as well as parents of the handicapped themselves. What's new in this edition Comprehensive coverage of new legislation such as Individuals with Disabilities Act (IDEA) and the Americans with Disabilities Act Cultural competence in Special Education, including new material on culturally/linguistically diverse students Many new entries including notable biographies, new service delivery systems, special education laws, new assessment instruments, cross-cultural issues, neuropsychology, and use of the Internet in research and service delivery. Some of the topics covered Academic assessment Achievement tests Addictions Bilingual education Child and adolescent behavior management Counseling with individuals and families with disabilities Early childhood education Gifted education Intelligence tests Mathematics disabilities Psychoeducational methods Rehabilitation Socioeconomic status Special education parent and student rights Traumatic brain injury

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