Continuous Functions Of Vector Variables

Author : Alberto Guzman
Publisher : Springer Science & Business Media
Page : 213 pages
File Size : 45,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461200833

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Continuous Functions of Vector Variables by Alberto Guzman Pdf

This is an axiomatic treatment of the properties of continuous multivariable functions and related results from topology. The author covers boundedness, extreme values, and uniform continuity of functions, along with connections between continuity and topological concepts such as connectedness and compactness. The order of topics mimics the order of development in elementary calculus, with analogies and generalizations from such familiar ideas as the Pythagorean theorem.

Author : Alberto Guzman
Publisher : Springer Science & Business Media
Page : 327 pages
File Size : 43,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461200352

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Derivatives and Integrals of Multivariable Functions by Alberto Guzman Pdf

This work provides a systematic examination of derivatives and integrals of multivariable functions. The approach taken here is similar to that of the author’s previous text, "Continuous Functions of Vector Variables": specifically, elementary results from single-variable calculus are extended to functions in several-variable Euclidean space. Topics encompass differentiability, partial derivatives, directional derivatives and the gradient; curves, surfaces, and vector fields; the inverse and implicit function theorems; integrability and properties of integrals; and the theorems of Fubini, Stokes, and Gauss. Prerequisites include background in linear algebra, one-variable calculus, and some acquaintance with continuous functions and the topology of the real line. Written in a definition-theorem-proof format, the book is replete with historical comments, questions, and discussions about strategy, difficulties, and alternate paths. "Derivatives and Integrals of Multivariable Functions" is a rigorous introduction to multivariable calculus that will help students build a foundation for further explorations in analysis and differential geometry.

Author : J. Schmets
Publisher : Unknown
Page : 128 pages
File Size : 52,7 Mb
Release : 2014-01-15
Category : Electronic
ISBN : 3662187604

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Spaces of Vector-Valued Continuous Functions by J. Schmets Pdf

Author : Hans Sagan
Publisher : Houghton Mifflin
Page : 700 pages
File Size : 50,6 Mb
Release : 1974
Category : Mathematics
ISBN : UOM:39015015686689

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Advanced Calculus by Hans Sagan Pdf

Author : Jacques Simon
Publisher : John Wiley & Sons
Page : 272 pages
File Size : 46,7 Mb
Release : 2020-11-17
Category : Mathematics
ISBN : 9781786300102

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Continuous Functions by Jacques Simon Pdf

This book is the second of a set dedicated to the mathematical tools used in partial differential equations derived from physics. It presents the properties of continuous functions, which are useful for solving partial differential equations, and, more particularly, for constructing distributions valued in a Neumann space. The author examines partial derivatives, the construction of primitives, integration and the weighting of value functions in a Neumann space. Many of them are new generalizations of classical properties for values in a Banach space. Simple methods, semi-norms, sequential properties and others are discussed, making these tools accessible to the greatest number of students – doctoral students, postgraduate students – engineers and researchers, without restricting or generalizing the results.

Author : Durgaprasanna Bhattacharyya
Publisher : Lulu.com
Page : 96 pages
File Size : 54,8 Mb
Release : 2018-09-08
Category : History
ISBN : 9780359076413

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Vector Calculus by Durgaprasanna Bhattacharyya Pdf

INTRODUCTION. In course of an attempt to apply direct vector methods to certain problems of Electricity and Hydrodynamics, it was felt that, at least as a matter of consistency, the foundations of Vector Analysis ought to be placed on a basis independent of any reference to cartesian coordinates and the main theorems of that Analysis established directly from first principles. embodied in the present paper and an attempt is made here to develop the Differential and Integral Calculus of Vectors from a point of view which is believed to be new. In order to realise the special features of my presentation of the subject, it will be convenient to recall briefly the usual method of treatment. In any vector problem we are given certain relations among a number of vectors and we have to deduce some other relations which these same vectors satisfy.

Author : Bijan Davvaz
Publisher : Springer Nature
Page : 428 pages
File Size : 52,9 Mb
Release : 2023-07-12
Category : Mathematics
ISBN : 9789819929351

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Vectors and Functions of Several Variables by Bijan Davvaz Pdf

This comprehensive textbook explores the topics of vector functions and functions of several variables. With over 500 exercises and problems, carefully chosen for their challenging, interesting, and educational value, this book is an ideal resource for undergraduate students of mathematics, statistics, computer science, engineering and the basic sciences. The material is organized into 10 chapters, each of which begins with necessary definitions, concepts and theorems to provide a solid foundation for understanding the topic. In addition, the book includes detailed solutions to all exercises and problems to help students test their understanding and reinforce their learning. Overall, this book is an excellent choice for anyone seeking a thorough introduction to calculus.

Author : J. Schmets
Publisher : Lecture Notes in Mathematics
Page : 132 pages
File Size : 52,8 Mb
Release : 1983-07
Category : Mathematics
ISBN : STANFORD:36105031957710

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Spaces of Vector-Valued Continuous Functions by J. Schmets Pdf

Author : Angus Ellis Taylor
Publisher : Courier Corporation
Page : 451 pages
File Size : 51,6 Mb
Release : 1985-01-01
Category : Mathematics
ISBN : 9780486649887

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General Theory of Functions and Integration by Angus Ellis Taylor Pdf

Uniting a variety of approaches to the study of integration, a well-known professor presents a single-volume "blend of the particular and the general, of the concrete and the abstract." 1966 edition.

Author : A Shabazz
Publisher : Trafford Publishing
Page : 306 pages
File Size : 52,9 Mb
Release : 2006-12-22
Category : Education
ISBN : 9781412226844

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Real Analysis by A Shabazz Pdf

You should not be intimidated by advanced calculus. It is just another logical subject, which can be tamed by a systematic, logical approach. This textbook proves it.

Author : Bin Ran,David Boyce
Publisher : Springer Science & Business Media
Page : 395 pages
File Size : 52,7 Mb
Release : 2012-12-06
Category : Business & Economics
ISBN : 9783662007730

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Dynamic Urban Transportation Network Models by Bin Ran,David Boyce Pdf

Intelligent Vehicle-Highway Systems are providing a welcome stimulus to research on dynamic urban transportation network models. This book presents a new generation of models for solving dynamic travel choice problems including traveler's destination choice, mode choice, departure/arrival time choice and route choice. These models are expected to function as off-line travel forecasting and evaluation tools, and eventually as on-line prediction and control models in advanced traveler information and traffic management systems. In addition to a rich set of new formulations and solution algorithms, the book provides a summary of the necessary mathematical background and concludes with a discussion of the requirements for model implementation.

Author : Georgi E. Shilov,Georgij Evgen'evi? Šilov,Richard A. Silverman
Publisher : Courier Corporation
Page : 548 pages
File Size : 44,5 Mb
Release : 1996-01-01
Category : Mathematics
ISBN : 0486689220

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Elementary Real and Complex Analysis by Georgi E. Shilov,Georgij Evgen'evi? Šilov,Richard A. Silverman Pdf

Excellent undergraduate-level text offers coverage of real numbers, sets, metric spaces, limits, continuous functions, much more. Each chapter contains a problem set with hints and answers. 1973 edition.

Author : Davar Khoshnevisan
Publisher : American Mathematical Soc.
Page : 242 pages
File Size : 47,5 Mb
Release : 2007
Category : Probabilities
ISBN : 9780821842157

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Probability by Davar Khoshnevisan Pdf

This is a textbook for a one-semester graduate course in measure-theoretic probability theory, but with ample material to cover an ordinary year-long course at a more leisurely pace. Khoshnevisan's approach is to develop the ideas that are absolutely central to modern probability theory, and to showcase them by presenting their various applications. As a result, a few of the familiar topics are replaced by interesting non-standard ones. The topics range from undergraduate probability and classical limit theorems to Brownian motion and elements of stochastic calculus. Throughout, the reader will find many exciting applications of probability theory and probabilistic reasoning. There are numerous exercises, ranging from the routine to the very difficult. Each chapter concludes with historical notes.

Author : Sean Dineen
Publisher : CRC Press
Page : 203 pages
File Size : 52,8 Mb
Release : 2017-12-19
Category : Mathematics
ISBN : 9781482285703

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Functions of Two Variables by Sean Dineen Pdf

Multivariate calculus, as traditionally presented, can overwhelm students who approach it directly from a one-variable calculus background. There is another way-a highly engaging way that does not neglect readers' own intuition, experience, and excitement. One that presents the fundamentals of the subject in a two-variable context and was set forth in the popular first edition of Functions of Two Variables. The second edition goes even further toward a treatment that is at once gentle but rigorous, atypical yet logical, and ultimately an ideal introduction to a subject important to careers both within and outside of mathematics. The author's style remains informal and his approach problem-oriented. He takes care to motivate concepts prior to their introduction and to justify them afterwards, to explain the use and abuse of notation and the scope of the techniques developed. Functions of Two Variables, Second Edition includes a new section on tangent lines, more emphasis on the chain rule, a rearrangement of several chapters, refined examples, and more exercises. It maintains a balance between intuition, explanation, methodology, and justification, enhanced by diagrams, heuristic comments, examples, exercises, and proofs.

Author : Bo Hu,Karl Morasch,Stefan Pickl,Markus Siegle
Publisher : Springer Science & Business Media
Page : 667 pages
File Size : 40,9 Mb
Release : 2011-06-24
Category : Business & Economics
ISBN : 9783642200090

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Operations Research Proceedings 2010 by Bo Hu,Karl Morasch,Stefan Pickl,Markus Siegle Pdf

This book contains selected papers from the symposium "Operations Research 2010" which was held from September 1-3, 2010 at the "Universität der Bundeswehr München", Germany. The international conference, which also serves as the annual meeting of the German Operations Research Society (GOR), attracted more than 600 participants from more than thirty countries. The general theme "Mastering Complexity" focusses on a natural component of the globalization process. Financial markets, traffic systems, network topologies and, last but not least, energy resource management, all contain complex behaviour and economic interdependencies which necessitate a scientific solution. Operations Research is one of the key instruments to model, simulate and analyze such systems. In the process of developing optimal solutions, suitable heuristics and efficient procedures are some of the challenges which are discussed in this volume.