Автор: Strang Название: Differential Equations and Linear Algebra ISBN: 0980232791 ISBN-13(EAN): 9780980232790 Издательство: Cambridge Academ Рейтинг: Цена: 60180.00 T Наличие на складе: Невозможна поставка. Описание: Differential equations and linear algebra are two central topics in the undergraduate mathematics curriculum. This innovative textbook allows the two subjects to be developed either separately or together, illuminating the connections between two fundamental topics, and giving increased flexibility to instructors. It can be used either as a semester-long course in differential equations, or as a one-year course in differential equations, linear algebra, and applications. Beginning with the basics of differential equations, it covers first and second order equations, graphical and numerical methods, and matrix equations. The book goes on to present the fundamentals of vector spaces, followed by eigenvalues and eigenvectors, positive definiteness, integral transform methods and applications to PDEs. The exposition illuminates the natural correspondence between solution methods for systems of equations in discrete and continuous settings. The topics draw on the physical sciences, engineering and economics, reflecting the author's distinguished career as an applied mathematician and expositor.
Автор: Kenneth S Williams, Vlastimil Dlab Название: Invitation To Algebra: A Resource Compendium For Teachers, Advanced Undergraduate Students And Graduate Students In Mathematics ISBN: 9811219974 ISBN-13(EAN): 9789811219979 Издательство: World Scientific Publishing Рейтинг: Цена: 132000.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book presents a compendium style account of a comprehensive mathematical journey from Arithmetic to Algebra. It contains material that is helpful to graduate and advanced undergraduate students in mathematics, university and college professors teaching mathematics, as well as some mathematics teachers teaching in the final year of high school. A successful teacher must know more than what a particular course curriculum asks for. A number of topics that are missing in present-day textbooks, and which may be attractive to students at the graduate or advanced undergraduate level in mathematics, for example, continued fractions, arithmetic progressions of higher order, complex numbers in plane geometry, differential schemes, path semigroups and path algebras, have been carefully presented. This reflects the aim of the book to attract students to mathematics.
Автор: Brendan Fong, David I. Spivak Название: An Invitation to Applied Category Theory: Seven Sketches in Compositionality ISBN: 1108711820 ISBN-13(EAN): 9781108711821 Издательство: Cambridge Academ Рейтинг: Цена: 48570.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Category theory reveals commonalities between structures of all sorts. This self-contained tour of applied category theory shows its potential in science, engineering, and beyond. Each chapter discusses a real-world application using category-theoretic tools, all of which are introduced in an accessible way with many examples and exercises.
Автор: Bajnok Bela Название: Invitation to Abstract Mathematics ISBN: 1461466350 ISBN-13(EAN): 9781461466352 Издательство: Springer Рейтинг: Цена: 65210.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Presenting historical perspective and notes on important figures in mathematics, covering current activity in the mathematical community, and raising famous and lesser-known questions, this book shows that abstract mathematics is a vibrant, dynamic enterprise.
Автор: Chicone, Carmen Название: An Invitation to Applied Mathematics with Differential Equations ISBN: 0128041536 ISBN-13(EAN): 9780128041536 Издательство: Elsevier Science Рейтинг: Цена: 106660.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
An Invitation to Applied Mathematics: Differential Equations, Modeling, and Computation introduces the reader to the methodology of modern applied mathematics in modeling, analysis, and scientific computing with emphasis on the use of ordinary and partial differential equations. Each topic is introduced with an attractive physical problem, where a mathematical model is constructed using physical and constitutive laws arising from the conservation of mass, conservation of momentum, or Maxwell's electrodynamics.
Relevant mathematical analysis (which might employ vector calculus, Fourier series, nonlinear ODEs, bifurcation theory, perturbation theory, potential theory, control theory, or probability theory) or scientific computing (which might include Newton's method, the method of lines, finite differences, finite elements, finite volumes, boundary elements, projection methods, smoothed particle hydrodynamics, or Lagrangian methods) is developed in context and used to make physically significant predictions. The target audience is advanced undergraduates (who have at least a working knowledge of vector calculus and linear ordinary differential equations) or beginning graduate students.
Readers will gain a solid and exciting introduction to modeling, mathematical analysis, and computation that provides the key ideas and skills needed to enter the wider world of modern applied mathematics.
Presents an integrated wealth of modeling, analysis, and numerical methods in one volume
Provides practical and comprehensible introductions to complex subjects, for example, conservation laws, CFD, SPH, BEM, and FEM
Includes a rich set of applications, with more appealing problems and projects suggested
Автор: Bajnok Bйla Название: An Invitation to Abstract Mathematics ISBN: 3030561763 ISBN-13(EAN): 9783030561765 Издательство: Springer Рейтинг: Цена: 46570.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Preface to Instructors.- Preface to Students.- Acknowledgments.- I What's Mathematics.- 1 Let's Play a Game!.- 2 What's the Name of the Game?.- 3 How to Make a Statement.- 4 What's True in Mathematics?.- A Ten Famous Conjectures.-B Ten Famous Theorems.- II The Foundations of Mathematics.- 5 Let's Be Logical!.- 6 Setting Examples.- 7 Quantifier Mechanics.- 8 Let's Be Functional!.- C The Foundations of Set Theory.- III How to Prove It.- 9 Universal Proofs.- 10 The Domino Theory.- 11 More Domino Games.- 12 Existential Proofs.- D Ten Famous Problems.- IV Advanced Math for Beginners.- 13 Mathematical Structures.- 14 Working in the Fields (and Other Structures).- 15 Group Work.- 16 Good Relations.- 17 Order, Please!.- 18 Now That's the Limit!.- 19 Sizing It Up.- 20 Infinite Delights.- 21 Number Systems Systematically.- 22 Games Are Valuable!.- E Graphic Content.- F All Games Considered.- G A Top Forty List of Math Theorems.
Автор: Watrous, John (university Of Waterloo, Ontario) Название: The theory of quantum information ISBN: 1107180562 ISBN-13(EAN): 9781107180567 Издательство: Cambridge Academ Рейтинг: Цена: 77090.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Intended for graduate students and researchers, this book presents a formal development of the mathematical theory of quantum information. Largely self-contained, with clear proofs and a wide range of exercises, it will help the reader grasp the fundamental facts and techniques that form the mathematical foundations of the subject.
Автор: Toth, Herbert, Название: Relations : concrete, abstract, and applied : ISBN: 9811220344 ISBN-13(EAN): 9789811220340 Издательство: World Scientific Publishing Рейтинг: Цена: 163680.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
The book is intended as an invitation to the topic of relations on a rather general basis. It fills the gap between the basic knowledge offered in countless introductory papers and books (usually comprising orders and equivalences) and the highly specialized monographs on mainly relation algebras, many-valued (fuzzy) relations, or graphs. This is done not only by presenting theoretical results but also by giving hints to some of the many interesting application areas (also including their respective theoretical basics).
This book is a new -- and the first of its kind -- compilation of known results on binary relations. It offers relational concepts in both reasonable depth and broadness, and also provides insight into the vast diversity of theoretical results as well as application possibilities beyond the commonly known examples.
This book is unique by the spectrum of the topics it handles. As indicated in its title these are:
Concrete aspects are covered in detail in Part 2 for two-valued, and in Part 3 for many-valued relations. Various kinds of relations and their properties are presented in the familiar form of first order formulas, but mainly algebraically in the point-free version as used in the so-called calculus of relations.
Abstract points of view are the content of Part 4: The connections of relations to semigroups, as well as the concept of relation algebras, and how relations are handled within category theory are presented in some detail.
Applied relations in Part 5 give a broad spectrum of classical and newer topics where relations of various kinds play a dominant role. This way, readers should get an idea how diverse the possibililties are where relations can be used, and how mighty their modeling abilities turn out to be.
Автор: Alcock, Lara (reader And Head Of Department, Mathematics, Reader And Head Of Department, Mathematics, Education Centre, Loughborough University) Название: How to think about abstract algebra ISBN: 0198843380 ISBN-13(EAN): 9780198843382 Издательство: Oxford Academ Рейтинг: Цена: 22690.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: How to Think about Abstract Algebra provides an engaging and readable introduction to its subject, which encompasses group theory and ring theory.
Автор: Hsing Tailen Название: Theoretical Foundations of Functional Data Analysis, with an ISBN: 0470016914 ISBN-13(EAN): 9780470016916 Издательство: Wiley Рейтинг: Цена: 69640.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: ?? Provides a concise but rigorous account of the theoretical background of FDA. ?? Introduces topics in various areas of mathematics, probability and statistics from the perspective of FDA. ?? Presents a systematic exposition of the fundamental statistical issues in FDA.
Автор: Strang Gilbert Название: Calculus ISBN: 0980232759 ISBN-13(EAN): 9780980232752 Издательство: Cambridge Academ Рейтинг: Цена: 67570.00 T Наличие на складе: Невозможна поставка. Описание: Gilbert Strang's clear, direct style and detailed, intensive explanations make this textbook ideal as both a course companion and for self-study. Single variable and multivariable calculus are covered in depth. Key examples of the application of calculus to areas such as physics, engineering and economics are included in order to enhance students' understanding. New to the third edition is a chapter on the 'Highlights of calculus', which accompanies the popular video lectures by the author on MIT's OpenCourseWare. These can be accessed from math.mit.edu/~gs.
Автор: Lloyd N. Trefethen Название: Approximation Theory and Approximation Practice: Extended Edition ISBN: 161197593X ISBN-13(EAN): 9781611975932 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 60990.00 T Наличие на складе: Нет в наличии. Описание: This is a textbook on classical polynomial and rational approximation theory for the twenty-first century. Aimed at advanced undergraduates and graduate students across all of applied mathematics, it uses MATLAB to teach the field’s most important ideas and results.
Approximation Theory and Approximation Practice, Extended Edition differs fundamentally from other works on approximation theory in a number of ways: its emphasis is on topics close to numerical algorithms; concepts are illustrated with Chebfun; and each chapter is a PUBLISHable MATLAB M-file, available online.
The book centers on theorems and methods for analytic functions, which appear so often in applications, rather than on functions at the edge of discontinuity with their seductive theoretical challenges. Original sources are cited rather than textbooks, and each item in the bibliography is accompanied by an editorial comment. In addition, each chapter has a collection of exercises, which span a wide range from mathematical theory to Chebfun-based numerical experimentation.
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