Mathematica A Problem Centered Approach

Author : Roozbeh Hazrat
Publisher : Springer
Page : 318 pages
File Size : 46,8 Mb
Release : 2016-01-04
Category : Computers
ISBN : 9783319275857

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Mathematica®: A Problem-Centered Approach by Roozbeh Hazrat Pdf

This textbook introduces the vast array of features and powerful mathematical functions of Mathematica using a multitude of clearly presented examples and worked-out problems. Each section starts with a description of a new topic and some basic examples. The author then demonstrates the use of new commands through three categories of problems - the first category highlights those essential parts of the text that demonstrate the use of new commands in Mathematica whilst solving each problem presented; - the second comprises problems that further demonstrate the use of commands previously introduced to tackle different situations; and - the third presents more challenging problems for further study. The intention is to enable the reader to learn from the codes, thus avoiding long and exhausting explanations. While based on a computer algebra course taught to undergraduate students of mathematics, science, engineering and finance, the book also includes chapters on calculus and solving equations, and graphics, thus covering all the basic topics in Mathematica. With its strong focus upon programming and problem solving, and an emphasis on using numerical problems that do not need any particular background in mathematics, this book is also ideal for self-study and as an introduction to researchers who wish to use Mathematica as a computational tool. This new edition has been extensively revised and updated, and includes new chapters with problems and worked examples.

Author : Anonim
Publisher : Unknown
Page : 204 pages
File Size : 50,5 Mb
Release : 2011-08-14
Category : Electronic
ISBN : 1849962529

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Mathematica by Anonim Pdf

Author : Torsten Fritzlar,Daiela Assmus,Kerstin Bräuning,Ana Kuzle,Benjamin Rott
Publisher : WTM-Verlag Münster
Page : 250 pages
File Size : 48,7 Mb
Release : 2016-06-30
Category : Juvenile Nonfiction
ISBN : 9783959870139

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Problem Solving in Mathematics Education by Torsten Fritzlar,Daiela Assmus,Kerstin Bräuning,Ana Kuzle,Benjamin Rott Pdf

From 3rd to 5th of September 2015 the 17th international ProMath conference (Problem Solving in Mathematics Education) took place at the Faculty of Education of the Martin Luther University Halle-Wittenberg (Germany). For the first time, it was combined with the annual meeting of the working group “Problem Solving” of the Society of Didactics of Mathematics. This book contains 20 peer reviewed articles of researchers from five European countries. The topics of the papers evolved around different areas of learning and problem solving. There are some theoretical papers on problem oriented mathematics instruction and specific aspects of problem solving and creativity as well as reports on detailed studies of problem solving processes of pupils and preservice teachers. Authors also present experiences with “real” problem solving instruction in different countries, considerations and teaching experiments on didactic concepts to foster pupils’ problem solving abilities, and they describe mathematically rich problem fields and their potentials for mathematical investigations in class. ProMath is a group of experienced and early career researchers in the field of mathematics education who are interested in investigating and fostering mathematical problem solving and problem oriented mathematics teaching.

Author : Jiří Gregor,Jaroslav Tišer
Publisher : Springer Science & Business Media
Page : 243 pages
File Size : 44,8 Mb
Release : 2010-12-21
Category : Mathematics
ISBN : 9780857290649

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Discovering Mathematics by Jiří Gregor,Jaroslav Tišer Pdf

The book contains chapters of structured approach to problem solving in mathematical analysis on an intermediate level. It follows the ideas of G.Polya and others, distinguishing between exercises and problem solving in mathematics. Interrelated concepts are connected by hyperlinks, pointing toward easier or more difficult problems so as to show paths of mathematical reasoning. Basic definitions and theorems can also be found by hyperlinks from relevant places. Problems are open to alternative formulations, generalizations, simplifications, and verification of hypotheses by the reader; this is shown to be helpful in solving problems. The book presents how advanced mathematical software can aid all stages of mathematical reasoning while the mathematical content remains in foreground. The authors show how software can contribute to deeper understanding and to enlarging the scope of teaching for students and teachers of mathematics.

Author : Vladimir Mityushev,Wojciech Nawalaniec,Natalia Rylko
Publisher : CRC Press
Page : 241 pages
File Size : 47,6 Mb
Release : 2018-02-19
Category : Mathematics
ISBN : 9781351998765

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Introduction to Mathematical Modeling and Computer Simulations by Vladimir Mityushev,Wojciech Nawalaniec,Natalia Rylko Pdf

Can be considered an interdisciplinary introduction to applied mathematics and to computer simulations. Some familiarity with calculus and algebra is assumed. Presents a systematic and self-contained presentation of the foundations of Mathematical Modeling. Discusses various ‘tricks' that can be used in Computer Simulations. Provides an exhaustive and clear explanation of how to develop and apply mathematical models, as well as corresponding codes for symbolic and numerical computations.

Author : A. A. Ambily,Roozbeh Hazrat,B. Sury
Publisher : Springer Nature
Page : 340 pages
File Size : 55,8 Mb
Release : 2020-01-17
Category : Mathematics
ISBN : 9789811516115

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Leavitt Path Algebras and Classical K-Theory by A. A. Ambily,Roozbeh Hazrat,B. Sury Pdf

The book offers a comprehensive introduction to Leavitt path algebras (LPAs) and graph C*-algebras. Highlighting their significant connection with classical K-theory—which plays an important role in mathematics and its related emerging fields—this book allows readers from diverse mathematical backgrounds to understand and appreciate these structures. The articles on LPAs are mostly of an expository nature and the ones dealing with K-theory provide new proofs and are accessible to interested students and beginners of the field. It is a useful resource for graduate students and researchers working in this field and related areas, such as C*-algebras and symbolic dynamics.

Author : Gabor Toth
Publisher : Springer Nature
Page : 534 pages
File Size : 45,8 Mb
Release : 2021-09-23
Category : Mathematics
ISBN : 9783030750510

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Elements of Mathematics by Gabor Toth Pdf

This textbook offers a rigorous presentation of mathematics before the advent of calculus. Fundamental concepts in algebra, geometry, and number theory are developed from the foundations of set theory along an elementary, inquiry-driven path. Thought-provoking examples and challenging problems inspired by mathematical contests motivate the theory, while frequent historical asides reveal the story of how the ideas were originally developed. Beginning with a thorough treatment of the natural numbers via Peano’s axioms, the opening chapters focus on establishing the natural, integral, rational, and real number systems. Plane geometry is introduced via Birkhoff’s axioms of metric geometry, and chapters on polynomials traverse arithmetical operations, roots, and factoring multivariate expressions. An elementary classification of conics is given, followed by an in-depth study of rational expressions. Exponential, logarithmic, and trigonometric functions complete the picture, driven by inequalities that compare them with polynomial and rational functions. Axioms and limits underpin the treatment throughout, offering not only powerful tools, but insights into non-trivial connections between topics. Elements of Mathematics is ideal for students seeking a deep and engaging mathematical challenge based on elementary tools. Whether enhancing the early undergraduate curriculum for high achievers, or constructing a reflective senior capstone, instructors will find ample material for enquiring mathematics majors. No formal prerequisites are assumed beyond high school algebra, making the book ideal for mathematics circles and competition preparation. Readers who are more advanced in their mathematical studies will appreciate the interleaving of ideas and illuminating historical details.

Author : Veikko Keränen,Peter Mitic
Publisher : Computational Mechanics
Page : 426 pages
File Size : 48,9 Mb
Release : 1995
Category : Computers
ISBN : UOM:39015038522424

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Mathematics with Vision by Veikko Keränen,Peter Mitic Pdf

Author : Marian Mureşan
Publisher : Springer
Page : 265 pages
File Size : 50,8 Mb
Release : 2017-02-21
Category : Computers
ISBN : 9783319520032

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Introduction to Mathematica® with Applications by Marian Mureşan Pdf

Starting with an introduction to the numerous features of Mathematica®, this book continues with more complex material. It provides the reader with lots of examples and illustrations of how the benefits of Mathematica® can be used. Composed of eleven chapters, it includes the following: A chapter on several sorting algorithms Functions (planar and solid) with many interesting examples Ordinary differential equations Advantages of Mathematica® dealing with the Pi number The power of Mathematica® working with optimal control problems Introduction to Mathematica® with Applications will appeal to researchers, professors and students requiring a computational tool.

Author : P Kent,Philip Ramsden,J Wood
Publisher : World Scientific
Page : 344 pages
File Size : 44,5 Mb
Release : 1996-10-08
Category : Mathematics
ISBN : 9781911298083

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Experiments In Undergraduate Mathematics: A Mathematica-based Approach by P Kent,Philip Ramsden,J Wood Pdf

All students need to master a variety of mathematical tools and concepts at the start of their university career. This distinctive book helps students learn these by doing. The approach is interactive, using experiments, performed in the symbolic algebra package Mathematica, to impart the fundamentals of many of the topics students encounter. A clear exposition of the topic accompanies every experiment.The modular style of the book allows students to study each topic independently. The sheer power of computer algebra software lets students develop and test their own conjectures, obtaining quick and instructive results. The software modules accompanying this course includes many custom functions designed to facilitate learning and testing process.Students who have some familiarity with the material will find their understanding refreshed and deepened through this approach. The exposure to modern computer algebra software will also benefit students in their subsequent studies, research, and professional careers.This classroom-tested book covers Calculus; Complex Numbers; Vectors and Matrices; Functions and Graphs; Trigonometry; and Series. It should therefore also be of use to many secondary school and high school students.Requires: Mathematica 2.2 or later (to be purchased separately); notebook interface. Software modules for this book are available with the hardback edition and via the Internet, or directly from the authors. For further details of the book, including licensing information for certain UK higher education institutions, visit the book's WWW site at metric.ma.ic.ac.uk/

Author : June Barrow-Green,Jeremy Gray,Robin Wilson
Publisher : American Mathematical Society
Page : 703 pages
File Size : 53,6 Mb
Release : 2022-05-26
Category : Mathematics
ISBN : 9781470443825

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The History of Mathematics: A Source-Based Approach, Volume 2 by June Barrow-Green,Jeremy Gray,Robin Wilson Pdf

The History of Mathematics: A Source-Based Approach is a comprehensive history of the development of mathematics. This, the second volume of a two-volume set, takes the reader from the invention of the calculus to the beginning of the twentieth century. The initial discoverers of calculus are given thorough investigation, and special attention is also paid to Newton's Principia. The eighteenth century is presented as primarily a period of the development of calculus, particularly in differential equations and applications of mathematics. Mathematics blossomed in the nineteenth century and the book explores progress in geometry, analysis, foundations, algebra, and applied mathematics, especially celestial mechanics. The approach throughout is markedly historiographic: How do we know what we know? How do we read the original documents? What are the institutions supporting mathematics? Who are the people of mathematics? The reader learns not only the history of mathematics, but also how to think like a historian. The two-volume set was designed as a textbook for the authors' acclaimed year-long course at the Open University. It is, in addition to being an innovative and insightful textbook, an invaluable resource for students and scholars of the history of mathematics. The authors, each among the most distinguished mathematical historians in the world, have produced over fifty books and earned scholarly and expository prizes from the major mathematical societies of the English-speaking world.

Author : Joseph G. Rosenstein
Publisher : American Mathematical Soc.
Page : 492 pages
File Size : 53,9 Mb
Release : 2024-06-27
Category : Mathematics
ISBN : 0821885782

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Discrete Mathematics in the Schools by Joseph G. Rosenstein Pdf

This book provides teachers of all levels with a great deal of valuable material to help them introduce discrete mathematics into their classrooms.

Author : John W. Gray
Publisher : Academic Press
Page : 667 pages
File Size : 47,7 Mb
Release : 2014-05-10
Category : Mathematics
ISBN : 9781483214030

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Mastering Mathematica® by John W. Gray Pdf

Mastering Mathematica®: Programming Methods and Applications presents the mathematical results and turn them into precise algorithmic procedures that can be executed by a computer. This book provides insight into more complex situations that can be investigated by hand. Organized into four parts, this book begins with an overview of the use of a pocket calculator. This text then looks in more detail at numerical calculations and solving equations, both algebraic and differential equations. Other parts consider the built-in graphics and show how to make pictures without programming. This book discusses as well the four styles of programming, namely, functional programming, imperative programming, rewrite programing, and object oriented programming. The reader is also introduced to differentiable mapping to show the analysis of critical points of functions and the developments in differential geometry that are required to study minimal surfaces. This book is a valuable resource for graduate students in mathematics, mathematics education, engineering, and the sciences.

Author : Berinderjeet Kaur,Ban Har Yeap,Manu Kapur
Publisher : World Scientific
Page : 287 pages
File Size : 43,5 Mb
Release : 2009
Category : Education
ISBN : 9789814277204

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Mathematical Problem Solving by Berinderjeet Kaur,Ban Har Yeap,Manu Kapur Pdf

This book is the first in the series of the yearbooks of the Association of Mathematics Educators in Singapore. It is highly unique as it addresses a focused theme of mathematics education. The chapters of the book, illustrate the immense diversity within the theme and presents research that translates into classroom pedagogies. The thirteen chapters of the book illustrate how mathematical problems may be crafted and infused in classroom teaching. Several novel pedagogies, such as learning mathematics through productive failure, problem posing and generative activities are presented in the book. The chapters are comprehensive and laden with evidence-based examples for both mathematics educators and classroom teachers of mathematics. The book is an invaluable contribution towards the already established field of research of mathematical problem solving. It is also a must read for graduate research students and mathematics educators.

Author : Eric W. Weisstein
Publisher : CRC Press
Page : 3253 pages
File Size : 50,6 Mb
Release : 2002-12-12
Category : Mathematics
ISBN : 9781420035223

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CRC Concise Encyclopedia of Mathematics by Eric W. Weisstein Pdf

Upon publication, the first edition of the CRC Concise Encyclopedia of Mathematics received overwhelming accolades for its unparalleled scope, readability, and utility. It soon took its place among the top selling books in the history of Chapman & Hall/CRC, and its popularity continues unabated. Yet also unabated has been the d