Introduction To Non Linear Algebra
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Author |
: Mateusz Michałek |
Publisher |
: American Mathematical Society |
Total Pages |
: 226 |
Release |
: 2021-03-05 |
ISBN-10 |
: 9781470453671 |
ISBN-13 |
: 1470453673 |
Rating |
: 4/5 (71 Downloads) |
Synopsis Invitation to Nonlinear Algebra by : Mateusz Michałek
Nonlinear 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.
Author |
: Valeri? Valer?evich Dolotin |
Publisher |
: World Scientific |
Total Pages |
: 286 |
Release |
: 2007 |
ISBN-10 |
: 9789812708007 |
ISBN-13 |
: 9812708006 |
Rating |
: 4/5 (07 Downloads) |
Synopsis Introduction to Non-linear Algebra by : Valeri? Valer?evich Dolotin
Literaturverz. S. 267 - 269
Author |
: Harold Thayer Davis |
Publisher |
: |
Total Pages |
: 590 |
Release |
: 1960 |
ISBN-10 |
: MINN:31951D03527010I |
ISBN-13 |
: |
Rating |
: 4/5 (0I Downloads) |
Synopsis Introduction to Nonlinear Differential and Integral Equations by : Harold Thayer Davis
Author |
: Alexei Morozov |
Publisher |
: World Scientific Publishing Company |
Total Pages |
: 286 |
Release |
: 2007-10-02 |
ISBN-10 |
: 9789813107007 |
ISBN-13 |
: 9813107006 |
Rating |
: 4/5 (07 Downloads) |
Synopsis Introduction To Non-linear Algebra by : Alexei Morozov
This unique text presents the new domain of consistent non-linear counterparts for all basic objects and tools of linear algebra, and develops an adequate calculus for solving non-linear algebraic and differential equations. It reveals the non-linear algebraic activity as an essentially wider and diverse field with its own original methods, of which the linear one is a special restricted case.This volume contains a detailed and comprehensive description of basic objects and fundamental techniques arising from the theory of non-linear equations, which constitute the scope of what should be called non-linear algebra. The objects of non-linear algebra are presented in parallel with the corresponding linear ones, followed by an exposition of specific non-linear properties treated with the use of classical (such as the Koszul complex) and original new tools. This volume extensively uses a new diagram technique and is enriched with a variety of illustrations throughout the text. Thus, most of the material is new and is clearly exposed, starting from the elementary level. With the scope of its perspective applications spreading from general algebra to mathematical physics, it will interest a broad audience of physicists; mathematicians, as well as advanced undergraduate and graduate students.
Author |
: Stephen Boyd |
Publisher |
: Cambridge University Press |
Total Pages |
: 477 |
Release |
: 2018-06-07 |
ISBN-10 |
: 9781316518960 |
ISBN-13 |
: 1316518965 |
Rating |
: 4/5 (60 Downloads) |
Synopsis Introduction to Applied Linear Algebra by : Stephen Boyd
A groundbreaking introduction to vectors, matrices, and least squares for engineering applications, offering a wealth of practical examples.
Author |
: Amir Beck |
Publisher |
: SIAM |
Total Pages |
: 286 |
Release |
: 2014-10-27 |
ISBN-10 |
: 9781611973655 |
ISBN-13 |
: 1611973651 |
Rating |
: 4/5 (55 Downloads) |
Synopsis Introduction to Nonlinear Optimization by : Amir Beck
This 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.
Author |
: Steven H. Strogatz |
Publisher |
: CRC Press |
Total Pages |
: 532 |
Release |
: 2018-05-04 |
ISBN-10 |
: 9780429961113 |
ISBN-13 |
: 0429961111 |
Rating |
: 4/5 (13 Downloads) |
Synopsis Nonlinear Dynamics and Chaos by : Steven H. Strogatz
This 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.
Author |
: Richard H. Enns |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 387 |
Release |
: 2010-10-14 |
ISBN-10 |
: 9780387753409 |
ISBN-13 |
: 0387753400 |
Rating |
: 4/5 (09 Downloads) |
Synopsis It's a Nonlinear World by : Richard H. Enns
Drawing 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.
Author |
: John W. Dettman |
Publisher |
: Courier Corporation |
Total Pages |
: 442 |
Release |
: 2012-10-05 |
ISBN-10 |
: 9780486158310 |
ISBN-13 |
: 0486158314 |
Rating |
: 4/5 (10 Downloads) |
Synopsis Introduction to Linear Algebra and Differential Equations by : John W. Dettman
Excellent 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.
Author |
: Morozov |
Publisher |
: |
Total Pages |
: |
Release |
: 2007-10 |
ISBN-10 |
: 9812770062 |
ISBN-13 |
: 9789812770066 |
Rating |
: 4/5 (62 Downloads) |
Synopsis Introduction to Non-Linear Algebra by : Morozov