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Invitation to abstract mathematics, Bajnok, Bela


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Автор: Bajnok, Bela
Название:  Invitation to abstract mathematics
ISBN: 9783030561734
Издательство: Springer
Классификация:




ISBN-10: 3030561739
Обложка/Формат: Hardcover
Страницы: 442
Вес: 0.83 кг.
Дата издания: 28.10.2020
Серия: Undergraduate texts in mathematics
Язык: English
Издание: 2nd ed. 2020
Иллюстрации: 61 illustrations, black and white; xvi, 440 p. 61 illus.
Размер: 23.39 x 15.60 x 2.54 cm
Читательская аудитория: Professional & vocational
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание:

This undergraduate textbook is intended primarily for a transition course into higher mathematics, although it is written with a broader audience in mind. The heart and soul of this book is problem solving, where each problem is carefully chosen to clarify a concept, demonstrate a technique, or to enthuse. The exercises require relatively extensive arguments, creative approaches, or both, thus providing motivation for the reader. With a unified approach to a diverse collection of topics, this text points out connections, similarities, and differences among subjects whenever possible. This book shows students that mathematics is a vibrant and dynamic human enterprise by including historical perspectives and notes on the giants of mathematics, by mentioning current activity in the mathematical community, and by discussing many famous and less well-known questions that remain open for future mathematicians.

Ideally, this text should be used for a two semester course, where the first course has no prerequisites and the second is a more challenging course for math majors; yet, the flexible structure of the book allows it to be used in a variety of settings, including as a source of various independent-study and research projects.




Differential Equations and Linear Algebra

Автор: Strang
Название: Differential Equations and Linear Algebra
ISBN: 0980232791 ISBN-13(EAN): 9780980232790
Издательство: Cambridge Academ
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Цена: 9027.00 р.
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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.

Theoretical Foundations of Functional Data Analysis, with an

Автор: Hsing Tailen
Название: Theoretical Foundations of Functional Data Analysis, with an
ISBN: 0470016914 ISBN-13(EAN): 9780470016916
Издательство: Wiley
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Цена: 10446.00 р.
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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.

Approximation Theory and Approximation Practice: Extended Edition

Автор: Lloyd N. Trefethen
Название: Approximation Theory and Approximation Practice: Extended Edition
ISBN: 161197593X ISBN-13(EAN): 9781611975932
Издательство: Mare Nostrum (Eurospan)
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Цена: 9148.00 р.
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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.

Invitation to discrete mathematics

Автор: Matousek, JinullЎ; Ne%setnullil, Jaroslav
Название: Invitation to discrete mathematics
ISBN: 0198570422 ISBN-13(EAN): 9780198570424
Издательство: Oxford Academ
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Цена: 9504.00 р.
Наличие на складе: Нет в наличии.

Описание: Klemens von Klemperer traces the many efforts of the German Resistance to forge alliances with Hitler`s opponents outside Germany. He uncovers the activities and beliefs of individual members, the formation of Resistance policies, their relations with the intelligence agencies of the Allied powers, and finally assesses the Resistance`s influence on the agenda of post-war international relations.

Complex Analysis: An Invitation (2Nd Edition)

Автор: Rao Murali Et Al
Название: Complex Analysis: An Invitation (2Nd Edition)
ISBN: 9814579580 ISBN-13(EAN): 9789814579582
Издательство: World Scientific Publishing
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Цена: 12830.00 р.
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Описание:

"A particularly nice feature of this textbook is that throughout, the authors have sprinkled citations of expository pieces taken from the Monthly as well as from Mathematics Magazine, the Intelligencer, and even the Proceedings of the AMS. This is a great source for both students as well as their teachers. The book also is an excellent source of problems, close to 300 in total."

Mathematical Association of America

"Parts of the new material in the last chapters appear here for the first time in a textbook, making this second edition even rather topical and particularly up-to-date. Each chapter contains many illustrating concrete examples and a large number of related exercises, most of which invite the ambitious reader to complement the material discussed in the text. Now as before, this unusual textbook in complex analysis has maintained its unique character, and the new material added in the second edition makes it even more special, interesting and valuable for further generations of students and teachers."

Zentralblatt MATH

Review of the First Edition:

..". covers an unusually large amount of material in a relatively few pages, and does so in a way that provides an excellent survey of the results and techniques of function theory ... the presentation often provides excellent insights into the subject."

Mathematical Reviews

This volume is an enlarged edition of a classic textbook on complex analysis. In addition to the classical material of the first edition it provides a concise and accessible treatment of Loewner theory, both in the disc and in the half-plane. Some of the new material has been described in research papers only or appears here for the first time. Each chapter ends with exercises.

An Invitation to Applied Mathematics with Differential Equations

Автор: Chicone, Carmen
Название: An Invitation to Applied Mathematics with Differential Equations
ISBN: 0128041536 ISBN-13(EAN): 9780128041536
Издательство: Elsevier Science
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Цена: 15999.00 р.
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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
An Invitation to Model Theory

Автор: Jonathan Kirby
Название: An Invitation to Model Theory
ISBN: 1107163889 ISBN-13(EAN): 9781107163881
Издательство: Cambridge Academ
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Цена: 8554.00 р.
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Описание: In this innovative and largely self-contained textbook, Jonathan Kirby brings model theory to an undergraduate audience. The highlights of basic model theory are illustrated through examples from specific structures familiar from undergraduate mathematics, and numerous exercises of varying difficulty further consolidate the student`s learning.

An Invitation to Applied Category Theory: Seven Sketches in Compositionality

Автор: Brendan Fong, David I. Spivak
Название: An Invitation to Applied Category Theory: Seven Sketches in Compositionality
ISBN: 1108482295 ISBN-13(EAN): 9781108482295
Издательство: Cambridge Academ
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Цена: 16315.00 р.
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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.

An Invitation to Applied Category Theory: Seven Sketches in Compositionality

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
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Цена: 7286.00 р.
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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.

Invitation to Abstract Mathematics

Автор: Bajnok Bela
Название: Invitation to Abstract Mathematics
ISBN: 1461466350 ISBN-13(EAN): 9781461466352
Издательство: Springer
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Цена: 9781.00 р.
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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.

Invitation To Algebra: A Resource Compendium For Teachers, Advanced Undergraduate Students And Graduate Students In Mathematics

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
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Цена: 19800.00 р.
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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.

An Invitation to Abstract Mathematics

Автор: Bajnok Bйla
Название: An Invitation to Abstract Mathematics
ISBN: 3030561763 ISBN-13(EAN): 9783030561765
Издательство: Springer
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Цена: 6986.00 р.
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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.


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