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Notes on Geometry

Posted By: AvaxGenius
Notes on Geometry

Notes on Geometry by Elmer G. Rees
English | PDF | 1983 | 119 Pages | ISBN : 354012053X | 8.4 MB

In recent years, geometry has played a lesser role in undergraduate courses than it has ever done. Nevertheless, it still plays a leading role in mathematics at a higher level. Its central role in the history of mathematics has never been disputed. It is important, therefore, to introduce some geometry into university syllabuses. There are several ways of doing this, it can be incorporated into existing courses that are primarily devoted to other topics, it can be taught at a first year level or it can be taught in higher level courses devoted to differential geometry or to more classical topics. These notes are intended to fill a rather obvious gap in the literature. It treats the classical topics of Euclidean, projective and hyperbolic geometry but uses the material commonly taught to undergraduates: linear algebra, group theory, metric spaces and complex analysis. The notes are based on a course whose aim was two fold, firstly, to introduce the students to some geometry and secondly to deepen their understanding of topics that they have already met. What is required from the earlier material is a familiarity with the main ideas, specific topics that are used are usually redone.

Linear Programming Duality: An Introduction to Oriented Matroids

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Linear Programming Duality: An Introduction to Oriented Matroids

Linear Programming Duality: An Introduction to Oriented Matroids by Achim Bachem , Walter Kern
English | PDF | 1992 | 215 Pages | ISBN : 3540554173 | 15.4 MB

The main theorem of Linear Programming Duality, relating a "pri­ mal" Linear Programming problem to its "dual" and vice versa, can be seen as a statement about sign patterns of vectors in complemen­ tary subspaces of Rn. This observation, first made by R.T. Rockafellar in the late six­ ties, led to the introduction of certain systems of sign vectors, called "oriented matroids". Indeed, when oriented matroids came into being in the early seventies, one of the main issues was to study the fun­ damental principles underlying Linear Progra.mrning Duality in this abstract setting.

Variational Methods in Partially Ordered Spaces

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Variational Methods in Partially Ordered Spaces

Variational Methods in Partially Ordered Spaces by Alfred Göpfert , Hassan Riahi , Christiane Tammer , Constantin Zǎlinescu
English | PDF EPUB (True) | 2023 | 576 Pages | ISBN : 303136533X | 78.1 MB

In mathematical modeling of processes occurring in logistics, management science, operations research, networks, mathematical finance, medicine, and control theory, one often encounters optimization problems involving more than one objective function so that Multiobjective Optimization (or Vector Optimization, initiated by W. Pareto) has received new impetus. The growing interest in vector optimization problems, both from the theoretical point of view and as it concerns applications to real world optimization problems, asks for a general scheme which embraces several existing developments and stimulates new ones.

The Schur Complement and Its Applications

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The Schur Complement and Its Applications

The Schur Complement and Its Applications by Fuzhen Zhang
English | PDF | 2005 | 308 Pages | ISBN : 0387242716 | 11.7 MB

What's in a name? To paraphrase Shakespeare's Juliet, that which - ilie Haynsworth called the Schur complement, by any other name would be just as beautiful. Nevertheless, her 1968 naming decision in honor of Issai Schur (1875-1941) has gained lasting acceptance by the mathematical com­ munity. The Schur complement plays an important role in matrix analysis, statistics, numerical analysis, and many other areas of mathematics and its applications. Our goal is to expose the Schur complement as a rich and basic tool in mathematical research and applications and to discuss many significant re­ sults that illustrate its power and fertility.

Game Theory: Lectures for Economists and Systems Scientists

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Game Theory: Lectures for Economists and Systems Scientists

Game Theory: Lectures for Economists and Systems Scientists by N. N. Vorob’ev
English | PDF | 1977 | 189 Pages | ISBN : 0387902384 | 14.2 MB

The basis for this book is a number of lectures given frequently by the author to third year students of the Department of Economics at Leningrad State University who specialize in economical cybernetics. The main purpose of this book is to provide the student with a relatively simple and easy-to-understand manual containing the basic mathematical machinery utilized in the theory of games. Practical examples (including those from the field of economics) serve mainly as an interpretation of the mathematical foundations of this theory rather than as indications of their actual or potential applicability.

Mathematical Formulas for Economists, Third Edition

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Mathematical Formulas for Economists, Third Edition

Mathematical Formulas for Economists, Third Edition by Bernd Luderer, Volker Nollau, Klaus Vetters
English | PDF(True) | 2007 | 197 Pages | ISBN : 354046901X | 2.08 MB

The present collection of formulas has been composed for students of economics or management science at universities, colleges and trade schools. It contains basic knowledge in mathematics, financial mathematics and statistics in a compact and clearly arranged form. This volume is meant to be a reference work to be used by students of undergraduate courses together with a textbook and by researchers in need of exact statements of mathematical results. People dealing with practical or applied problems will also find this collection to be an efficient and easy-to-use work of reference.

Probability, Stochastic Processes, and Queueing Theory: The Mathematics of Computer Performance Modeling (Repost)

Posted By: AvaxGenius
Probability, Stochastic Processes, and Queueing Theory: The Mathematics of Computer Performance Modeling (Repost)

Probability, Stochastic Processes, and Queueing Theory: The Mathematics of Computer Performance Modeling by Randolph Nelson
English | PDF | 1995 | 595 Pages | ISBN : 0387944524 | 44.8 MB

We will occasionally footnote a portion of text with a "**,, to indicate Notes on the that this portion can be initially bypassed. The reasons for bypassing a Text portion of the text include: the subject is a special topic that will not be referenced later, the material can be skipped on first reading, or the level of mathematics is higher than the rest of the text. In cases where a topic is self-contained, we opt to collect the material into an appendix that can be read by students at their leisure. The material in the text cannot be fully assimilated until one makes it Notes on "their own" by applying the material to specific problems. Self-discovery Problems is the best teacher and although they are no substitute for an inquiring mind, problems that explore the subject from different viewpoints can often help the student to think about the material in a uniquely per­ sonal way. With this in mind, we have made problems an integral part of this work and have attempted to make them interesting as well as informative.

Principles of Differential Equations

Posted By: AvaxGenius
Principles of Differential Equations

Principles of Differential Equations by Nelson G. Markley
English | PDF | 2004 | 352 Pages | ISBN : 0471649562 | 14.3 MB

An accessible, practical introduction to the principles of differential equations
The field of differential equations is a keystone of scientific knowledge today, with broad applications in mathematics, engineering, physics, and other scientific fields. Encompassing both basic concepts and advanced results, Principles of Differential Equations is the definitive, hands-on introduction professionals and students need in order to gain a strong knowledge base applicable to the many different subfields of differential equations and dynamical systems.

Algebra, Revised Third Edition

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Algebra, Revised Third Edition

Algebra, Revised Third Edition by Serge Lang
English | PDF | 2002 | 923 Pages | ISBN : 038795385X | 66.1 MB

This book is intended as a basic text for a one-year course in Algebra at the graduate level, or as a useful reference for mathematicians and professionals who use higher-level algebra. It successfully addresses the basic concepts of algebra. For the revised third edition, the author has added exercises and made numerous corrections to the text.

First Steps in Maple

Posted By: AvaxGenius
First Steps in Maple

First Steps in Maple by Werner Burkhardt
English | PDF | 1994 | 127 Pages | ISBN : 3540198741 | 6.9 MB

Maple is a computer algebraic system with a fast-growing number of users in schools, universities, and other institutions. Intended for anyone who is encountering Maple for the first time, First Steps in Maple provides a detailed step-by-step introduction, teaching by way of examples taken from many areas of mathematics. It is particularly suitable for undergraduates, and has self-test problems (with solutions) for each chapter.

Linear Programming

Posted By: AvaxGenius
Linear Programming

Linear Programming by Howard Karloff
English | PDF | Reprint of 1991 edition | 149 Pages | ISBN : 0817648437 | 22.5 MB

To this reviewer’s knowledge, this is the first book accessible to the upper division undergraduate or beginning graduate student that surveys linear programming from the Simplex Method…via the Ellipsoid algorithm to Karmarkar’s algorithm. Moreover, its point of view is algorithmic and thus it provides both a history and a case history of work in complexity theory. The presentation is admirable; Karloff's style is informal (even humorous at times) without sacrificing anything necessary for understanding. Diagrams (including horizontal brackets that group terms) aid in providing clarity. The end-of-chapter notes are helpful…Recommended highly for acquisition, since it is not only a textbook, but can also be used for independent reading and study.

Nonlinear Solid Mechanics: Theoretical Formulations and Finite Element Solution Methods

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Nonlinear Solid Mechanics: Theoretical Formulations and Finite Element Solution Methods

Nonlinear Solid Mechanics: Theoretical Formulations and Finite Element Solution Methods by Adnan Ibrahimbegovic
English | PDF | 2009 | 587 Pages | ISBN : 9048123305 | 13.6 MB

This volume provides insight into modelling and ultimate limit computation of complex structures, with their components represented by solid deformable bodies. The book examines practically all the important questions of current interests for nonlinear solid mechanics: plasticity, damage, large deformations, contact, dynamics, instability, localisation and failure, discrete models, multi-scale, multi-physics and parallel computing, with special attention given to finite element solution methods.

Domain Decomposition Methods for the Numerical Solution of Partial Differential Equations (Repost)

Posted By: AvaxGenius
Domain Decomposition Methods for the Numerical Solution of Partial Differential Equations (Repost)

Domain Decomposition Methods for the Numerical Solution of Partial Differential Equations by Tarek Poonithara Abraham Mathew
English | PDF | 2008 | 774 Pages | ISBN : 3540772057 | 5.8 MB

Domain decomposition methods are divide and conquer methods for the parallel and computational solution of partial differential equations of elliptic or parabolic type. They include iterative algorithms for solving the discretized equations, techniques for non-matching grid discretizations and techniques for heterogeneous approximations.

Algorithmic Mathematics

Posted By: AvaxGenius
Algorithmic Mathematics

Algorithmic Mathematics by Stefan Hougardy
English | PDF(True) | 2016 | 167 Pages | ISBN : 3319395572 | 2.1 MB

Algorithms play an increasingly important role in nearly all fields of mathematics. This book allows readers to develop basic mathematical abilities, in particular those concerning the design and analysis of algorithms as well as their implementation. It presents not only fundamental algorithms like the sieve of Eratosthenes, the Euclidean algorithm, sorting algorithms, algorithms on graphs, and Gaussian elimination, but also discusses elementary data structures, basic graph theory, and numerical questions. In addition, it provides an introduction to programming and demonstrates in detail how to implement algorithms in C++.

Real Analysis and Applications: Theory in Practice

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Real Analysis and Applications: Theory in Practice

Real Analysis and Applications: Theory in Practice by Kenneth R. Davidson
English | PDF | 2010 | 522 Pages | ISBN : 0387980970 | 5 MB

This new approach to real analysis stresses the use of the subject in applications, showing how the principles and theory of real analysis can be applied in various settings. Applications cover approximation by polynomials, discrete dynamical systems, differential equations, Fourier series and physics, Fourier series and approximation, wavelets, and convexity and optimization. Each chapter has many useful exercises.