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Exploring university mathematics with python, Chongchitnan, Siri


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Автор: Chongchitnan, Siri
Название:  Exploring university mathematics with python
ISBN: 9783031462696
Издательство: Springer
Классификация:





ISBN-10: 3031462696
Обложка/Формат: Hardback
Страницы: 514
Вес: 1.22 кг.
Дата издания: 10.01.2024
Иллюстрации: 140 illustrations, color; 13 illustrations, black and white; xiii, 514 p. 153 illus., 140 illus. in color.
Размер: 173 x 247 x 32
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: This book provides a unique tour of university mathematics with the help of Python. Written in the spirit of mathematical exploration and investigation, the book enables students to utilise Python to enrich their understanding of mathematics through: * Calculation: performing complex calculations and numerical simulations instantly * Visualisation: demonstrating key theorems with graphs, interactive plots and animations * Extension: using numerical findings as inspiration for making deeper, more general conjectures. This book is for all learners of mathematics, with the primary audience being mathematics undergraduates who are curious to see how Python can enhance their understanding of core university material. The topics chosen represent a mathematical overview of what students typically study in the first and second years at university, namely analysis, calculus, vector calculus and geometry, differential equations and dynamical systems, linear algebra, abstract algebra and number theory, probability and statistics. As such, it can also serve as a preview of university mathematics for high-school students. The prerequisites for reading the book are a familiarity with standard A-Level mathematics (or equivalent senior high-school curricula) and a willingness to learn programming. For mathematics lecturers and teachers, this book is a useful resource on how Python can be seamlessly incorporated into the mathematics syllabus, assuming only basic knowledge of programming.
Дополнительное описание: 1 Analysis.- 2 Calculus.- 3 Vector Calculus and Geometry.- 4 Differential Equations and Dynamical Systems.- 5 Linear Algebra.- 6 Abstract Algebra and Number Theory.- 7 Probability.- 8 Statistics.- Appendix A: Python 101.



Algebra

Автор: Paolo Aluffi
Название: Algebra
ISBN: 1108958230 ISBN-13(EAN): 9781108958233
Издательство: Cambridge Academ
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Цена: 5069.00 р.
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Описание: This conversational introduction to abstract algebra takes a modern, rings-first approach. In addition to its unconventional order of classical material, another key feature is the treatment of topics often neglected in undergraduate textbooks, such as modules. More than 400 exercises are included, 150 of which are carefully worked out.

Numerical linear algebra

Автор: Trefethen, Lloyd N. Bau, David, Iii
Название: Numerical linear algebra
ISBN: 0898713617 ISBN-13(EAN): 9780898713619
Издательство: Mare Nostrum (Eurospan)
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Цена: 9656.00 р.
Наличие на складе: Нет в наличии.

Описание: Numerical Linear Algebra is a concise, insightful, and elegant introduction to the field of numerical linear algebra.

Mathematics for Machine Learning

Автор: Marc Peter Deisenroth, A. Aldo Faisal, Cheng Soon Ong
Название: Mathematics for Machine Learning
ISBN: 110845514X ISBN-13(EAN): 9781108455145
Издательство: Cambridge Academ
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Цена: 6334.00 р.
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Описание: This self-contained textbook introduces all the relevant mathematical concepts needed to understand and use machine learning methods, with a minimum of prerequisites. Topics include linear algebra, analytic geometry, matrix decompositions, vector calculus, optimization, probability and statistics.

Graph Theory and Additive Combinatorics: Exploring Structure and Randomness

Автор: Yufei Zhao
Название: Graph Theory and Additive Combinatorics: Exploring Structure and Randomness
ISBN: 1009310941 ISBN-13(EAN): 9781009310949
Издательство: Cambridge Academ
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Цена: 8710.00 р.
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Описание: Using the dichotomy of structure and pseudorandomness as a central theme, this accessible text provides a modern introduction to extremal graph theory and additive combinatorics. Readers will explore central results in additive combinatorics-notably the cornerstone theorems of Roth, Szemeredi, Freiman, and Green-Tao-and will gain additional insights into these ideas through graph theoretic perspectives. Topics discussed include the Turan problem, Szemeredi's graph regularity method, pseudorandom graphs, graph limits, graph homomorphism inequalities, Fourier analysis in additive combinatorics, the structure of set addition, and the sum-product problem. Important combinatorial, graph theoretic, analytic, Fourier, algebraic, and geometric methods are highlighted. Students will appreciate the chapter summaries, many figures and exercises, and freely available lecture videos on MIT OpenCourseWare. Meant as an introduction for students and researchers studying combinatorics, theoretical computer science, analysis, probability, and number theory, the text assumes only basic familiarity with abstract algebra, analysis, and linear algebra.

Partial Differential Equations

Автор: R. M. M. Mattheij
Название: Partial Differential Equations
ISBN: 0898715946 ISBN-13(EAN): 9780898715941
Издательство: Mare Nostrum (Eurospan)
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Цена: 21318.00 р.
Наличие на складе: Нет в наличии.

Описание: Partial differential equations (PDEs) are used to describe a large variety of physical phenomena, from fluid flow to electromagnetic fields, and are indispensable to such disparate fields as aircraft simulation and computer graphics. While most existing texts on PDEs deal with either analytical or numerical aspects of PDEs, this innovative and comprehensive textbook features a unique approach that integrates analysis and numerical solution methods and includes a third component - modeling - to address real-life problems. The authors believe that modeling can be learned only by doing; hence a separate chapter containing 16 user-friendly case studies of elliptic, parabolic, and hyperbolic equations is included and numerous exercises are included in all other chapters.

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.

Exploring Calculus

Автор: Arangala Crista
Название: Exploring Calculus
ISBN: 1498771017 ISBN-13(EAN): 9781498771016
Издательство: Taylor&Francis
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Цена: 5511.00 р.
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Описание:

This text is meant to be a hands-on lab manual that can be used in class every day to guide the exploration of the theory and applications of differential and integral calculus. For the most part, labs can be used individually or in a sequence. Each lab consists of an explanation of material with integrated exercises. Some labs are split into multiple subsections and thus exercises are separated by those subsections.

The exercise sections integrate problems, technology, Mathematica R visualization, and Mathematica CDFs that allow students to discover the theory and applications of differential and integral calculus in a meaningful and memorable way.

  • Employs Mathematica to calculate and explore concepts and theories of calculus
  • Uses engaging labs to inspire learning
  • Includes many applications to a variety of fields that can promote research projects
  • User-friendly approach that can be used for classroom work or independent exploratory learning
  • An Intermediate Course in Probability

    Автор: Allan Gut
    Название: An Intermediate Course in Probability
    ISBN: 1489984461 ISBN-13(EAN): 9781489984463
    Издательство: Springer
    Рейтинг:
    Цена: 7622.00 р.
    Наличие на складе: Есть у поставщика Поставка под заказ.

    Описание: This book covers the basic results and methods in probability theory. This new edition offers updated content, 100 additional problems for solution, and a new chapter glimpsing further topics such as stable distributions, domains of attraction and martingales.

    Image Processing and Acquisition using Python

    Автор: Chityala, Ravishankar , Pudipeddi, Sridevi
    Название: Image Processing and Acquisition using Python
    ISBN: 0367198088 ISBN-13(EAN): 9780367198084
    Издательство: Taylor&Francis
    Рейтинг:
    Цена: 19906.00 р.
    Наличие на складе: Есть у поставщика Поставка под заказ.

    Описание: This book provides readers with a sound foundation in both image acquisition and image processing-one of the first books to integrate these topics together. This updated edition includes new chapters on neural networks, convolutional neural networks, affine transform and many new algorithms.

    Exploring The Infinite

    Автор: Brooks
    Название: Exploring The Infinite
    ISBN: 1498704492 ISBN-13(EAN): 9781498704496
    Издательство: Taylor&Francis
    Рейтинг:
    Цена: 13779.00 р.
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    Описание:

    Exploring the Infinite addresses the trend toward

    a combined transition course and introduction to analysis course. It

    guides the reader through the processes of abstraction and log-

    ical argumentation, to make the transition from student of mathematics to

    practitioner of mathematics.

    This requires more than knowledge of the definitions of mathematical structures,

    elementary logic, and standard proof techniques. The student focused on only these

    will develop little more than the ability to identify a number of proof templates and

    to apply them in predictable ways to standard problems.

    This book aims to do something more; it aims to help readers learn to explore

    mathematical situations, to make conjectures, and only then to apply methods

    of proof. Practitioners of mathematics must do all of these things.

    The chapters of this text are divided into two parts. Part I serves as an introduction

    to proof and abstract mathematics and aims to prepare the reader for advanced

    course work in all areas of mathematics. It thus includes all the standard material

    from a transition to proof" course.

    Part II constitutes an introduction to the basic concepts of analysis, including limits

    of sequences of real numbers and of functions, infinite series, the structure of the

    real line, and continuous functions.

    ?

    Features

    • Two part text for the combined transition and analysis course
    • New approach focuses on exploration and creative thought
    • Emphasizes the limit and sequences
    • Introduces programming skills to explore concepts in analysis
    • Emphasis in on developing mathematical thought
    • Exploration problems expand more traditional exercise sets

    Exploring the Riemann Zeta Function

    Автор: Hugh Montgomery; Ashkan Nikeghbali; Michael Th. Ra
    Название: Exploring the Riemann Zeta Function
    ISBN: 3319599682 ISBN-13(EAN): 9783319599687
    Издательство: Springer
    Рейтинг:
    Цена: 15372.00 р.
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    Описание:

    Exploring the Riemann Zeta Function: 190 years from Riemann's Birth presents a collection of chapters contributed by eminent experts devoted to the Riemann Zeta Function, its generalizations, and their various applications to several scientific disciplines, including Analytic Number Theory, Harmonic Analysis, Complex Analysis, Probability Theory, and related subjects.

    The book focuses on both old and new results towards the solution of long-standing problems as well as it features some key historical remarks. The purpose of this volume is to present in a unified way broad and deep areas of research in a self-contained manner. It will be particularly useful for graduate courses and seminars as well as it will make an excellent reference tool for graduate students and researchers in Mathematics, Cryptography, Mathematical Physics, and Engineering.

    Exploring Multivariate Data with the Forward Search

    Автор: Anthony C. Atkinson; Marco Riani; Andrea Cerioli
    Название: Exploring Multivariate Data with the Forward Search
    ISBN: 1441923535 ISBN-13(EAN): 9781441923530
    Издательство: Springer
    Рейтинг:
    Цена: 24456.00 р.
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    Описание: This book is concerned with data in which the observations are independent and in which the response is multivariate. Companion book to Robust Diagnostic Regression Analysis (ISBN 0-387-95017) published by Springer in 2000.


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