Introduction to Non-linear Algebra
Author: Valeri? Valer?evich Dolotin
Publisher: World Scientific
Published: 2007
Total Pages: 286
ISBN-13: 9812708006
DOWNLOAD EBOOKLiteraturverz. S. 267 - 269
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Invitation to Nonlinear Algebra
Author: Mateusz Michałek
Publisher: American Mathematical Society
Published: 2021-03-05
Total Pages: 226
ISBN-13: 1470453673
DOWNLOAD EBOOKNonlinear algebra provides modern mathematical tools to address challenges arising in the sciences and engineering. It is useful everywhere, where polynomials appear: in particular, data and computational sciences, statistics, physics, optimization. The book offers an invitation to this broad and fast-developing area. It is not an extensive encyclopedia of known results, but rather a first introduction to the subject, allowing the reader to enter into more advanced topics. It was designed as the next step after linear algebra and well before abstract algebraic geometry. The book presents both classical topics—like the Nullstellensatz and primary decomposition—and more modern ones—like tropical geometry and semidefinite programming. The focus lies on interactions and applications. Each of the thirteen chapters introduces fundamental concepts. The book may be used for a one-semester course, and the over 200 exercises will help the readers to deepen their understanding of the subject.
Introduction to Applied Linear Algebra
Author: Stephen Boyd
Publisher: Cambridge University Press
Published: 2018-06-07
Total Pages: 477
ISBN-13: 1316518965
DOWNLOAD EBOOKA groundbreaking introduction to vectors, matrices, and least squares for engineering applications, offering a wealth of practical examples.
Introduction to Nonlinear Optimization
Author: Amir Beck
Publisher: SIAM
Published: 2014-10-27
Total Pages: 286
ISBN-13: 1611973651
DOWNLOAD EBOOKThis book provides the foundations of the theory of nonlinear optimization as well as some related algorithms and presents a variety of applications from diverse areas of applied sciences. The author combines three pillars of optimization?theoretical and algorithmic foundation, familiarity with various applications, and the ability to apply the theory and algorithms on actual problems?and rigorously and gradually builds the connection between theory, algorithms, applications, and implementation. Readers will find more than 170 theoretical, algorithmic, and numerical exercises that deepen and enhance the reader's understanding of the topics. The author includes offers several subjects not typically found in optimization books?for example, optimality conditions in sparsity-constrained optimization, hidden convexity, and total least squares. The book also offers a large number of applications discussed theoretically and algorithmically, such as circle fitting, Chebyshev center, the Fermat?Weber problem, denoising, clustering, total least squares, and orthogonal regression and theoretical and algorithmic topics demonstrated by the MATLAB? toolbox CVX and a package of m-files that is posted on the book?s web site.
Introduction to Linear Algebra and Differential Equations
Author: John W. Dettman
Publisher: Courier Corporation
Published: 2012-10-05
Total Pages: 442
ISBN-13: 0486158314
DOWNLOAD EBOOKExcellent introductory text focuses on complex numbers, determinants, orthonormal bases, symmetric and hermitian matrices, first order non-linear equations, linear differential equations, Laplace transforms, Bessel functions, more. Includes 48 black-and-white illustrations. Exercises with solutions. Index.
An Introduction to Linear and Nonlinear Finite Element Analysis
Author: Prem Kythe
Publisher: Springer Science & Business Media
Published: 2011-06-27
Total Pages: 461
ISBN-13: 0817681604
DOWNLOAD EBOOKModern finite element analysis has grown into a basic mathematical tool for almost every field of engineering and the applied sciences. This introductory textbook fills a gap in the literature, offering a concise, integrated presentation of methods, applications, software tools, and hands-on projects. Included are numerous exercises, problems, and Mathematica/Matlab-based programming projects. The emphasis is on interdisciplinary applications to serve a broad audience of advanced undergraduate/graduate students with different backgrounds in applied mathematics, engineering, physics/geophysics. The work may also serve as a self-study reference for researchers and practitioners seeking a quick introduction to the subject for their research.
It's a Nonlinear World
Author: Richard H. Enns
Publisher: Springer Science & Business Media
Published: 2010-10-14
Total Pages: 387
ISBN-13: 0387753400
DOWNLOAD EBOOKDrawing examples from mathematics, physics, chemistry, biology, engineering, economics, medicine, politics, and sports, this book illustrates how nonlinear dynamics plays a vital role in our world. Examples cover a wide range from the spread and possible control of communicable diseases, to the lack of predictability in long-range weather forecasting, to competition between political groups and nations. After an introductory chapter that explores what it means to be nonlinear, the book covers the mathematical concepts such as limit cycles, fractals, chaos, bifurcations, and solitons, that will be applied throughout the book. Numerous computer simulations and exercises allow students to explore topics in greater depth using the Maple computer algebra system. The mathematical level of the text assumes prior exposure to ordinary differential equations and familiarity with the wave and diffusion equations. No prior knowledge of Maple is assumed. The book may be used at the undergraduate or graduate level to prepare science and engineering students for problems in the "real world", or for self-study by practicing scientists and engineers.
An Introduction to Nonassociative Algebras
Author: Richard D. Schafer
Publisher: Courier Dover Publications
Published: 2017-11-15
Total Pages: 177
ISBN-13: 0486164179
DOWNLOAD EBOOKConcise graduate-level introductory study presents some of the important ideas and results in the theory of nonassociative algebras. Places particular emphasis on alternative and (commutative) Jordan algebras. 1966 edition.
Nonlinear Dynamics and Chaos
Author: Steven H. Strogatz
Publisher: CRC Press
Published: 2018-05-04
Total Pages: 532
ISBN-13: 0429961111
DOWNLOAD EBOOKThis textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.
Introduction to Linear Algebra
Author: Frank M. Stewart
Publisher: Courier Dover Publications
Published: 2019-07-17
Total Pages: 307
ISBN-13: 0486841510
DOWNLOAD EBOOKIntroduction to Linear Algebra stresses finite dimensional vector spaces and linear transformations. Intended for undergraduate majors in mathematics, applied mathematics, chemistry, and physics, the treatment's only prerequisite is a first course in calculus. Proofs are given in detail, and carefully chosen problems demonstrate the variety of situations in which these concepts arise. After a brief Introduction, the text advances to chapters on the plane, linear dependence, span, dimension, bases, and subspaces. Subsequent chapters explore linear transformations, the dual space in terms of multilinear forms and determinants, a traditional treatment of determinants, and inner product spaces. Extensive Appendixes cover equations and identities; variables, quantifiers, and unknowns; sets; proofs; indices and summations; and functions.
