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Student's Guide to the Study, Practice, and Tools of Modern Mathematics [Minkštas viršelis]

4.00/5 (4 ratings by Goodreads)
(Truman State University, Kirksville, Missouri, USA), (Truman State University, Kirksville, Missouri, USA)
  • Formatas: Paperback / softback, 280 pages, aukštis x plotis: 254x178 mm, weight: 521 g, 8 Tables, black and white; 111 Illustrations, black and white
  • Serija: Discrete Mathematics and Its Applications
  • Išleidimo metai: 29-Nov-2010
  • Leidėjas: Chapman & Hall/CRC
  • ISBN-10: 1439846065
  • ISBN-13: 9781439846063
Kitos knygos pagal šią temą:
Student's Guide to the Study, Practice, and Tools of Modern MathematicsDidesnis paveikslėlis
  • Formatas: Paperback / softback, 280 pages, aukštis x plotis: 254x178 mm, weight: 521 g, 8 Tables, black and white; 111 Illustrations, black and white
  • Serija: Discrete Mathematics and Its Applications
  • Išleidimo metai: 29-Nov-2010
  • Leidėjas: Chapman & Hall/CRC
  • ISBN-10: 1439846065
  • ISBN-13: 9781439846063
Kitos knygos pagal šią temą:
Pastovi nuoroda: https://www.kriso.lt/db/9781439846063.html
Raktažodžiai:
"Ideal for students and newcomers to the field, this guidebook provides a comprehensive reference to key topics in modern mathematics. With an introduction to MATLAB, Mathematica, MapleTM, Maxima, LaTeX, and R, the text explains how to study mathematics, how to write proofs, how to conduct mathematical research, and how to give presentations on mathematics. In addition, the authors detail how to get started with various programming languages, including Beamer, Octave, HTML, PostScript, and open source software. They also discuss how Geometer's sketchpad is a useful tool for drawing illustrations"--Provided by publisher.

Provided by publisher.

A Student's Guide to the Study, Practice, and Tools of Modern Mathematics provides an accessible introduction to the world of mathematics. It offers tips on how to study and write mathematics as well as how to use various mathematical tools, from LaTeX and Beamer of Mathematica® and Maple™ to MATLAB® and R. The text also includes exercises and challenges to stimulate creativity and imporve problem solving abilities.

The first section of the book covers issues pertaining to studying mathematics. The authors explain how to write mathematical proofs and papers, how to perform mathematical research, and how to give mathematical presentations.

The second section focuses on the use of both popular commercial software programs and free and open source software for mathematical typesetting, generating data, finding patterns, and much more. The text describes how to compose a LaTeX file, give a presentation using Beamer, create mathematical diagrams, use computer algebra systems and display ideas on a web page.

Showing how to use technology to understand mathematics, this guide supports students on their way to becoming professional mathematicians. For beginning mathematics students, it helps them study for tests and write papers. As time progress, the book aids them in performing advanced activities, such as computer programming, typesetting, and research.

Recenzijos

A Students Guide provides a useful service by gathering into one place information that students might otherwise be expected to learn by osmosis. MAA Reviews, February 2011

Preface xi
I The Study and Practice of Modern Mathematics
1(54)
Introduction
3(2)
1 How to Learn Mathematics
5(8)
1.1 Why learn mathematics?
5(1)
1.2 Studying mathematics
6(1)
1.3 Homework assignments and problem solving
7(3)
1.4 Tests
10(1)
1.5 Inspiration
10(3)
Exercises
11(2)
2 How to Write Mathematics
13(10)
2.1 What is the goal of mathematical writing?
13(1)
2.2 General principles of mathematical writing
14(1)
2.3 Writing mathematical sentences
14(1)
2.4 Avoiding errors
15(1)
2.5 Writing mathematical solutions and proofs
16(3)
2.6 Writing longer mathematical works
19(1)
2.7 The revision process
19(4)
Exercises
20(3)
3 How to Research Mathematics
23(6)
3.1 What is mathematical research?
23(1)
3.2 Finding a research topic
24(1)
3.3 General advice
24(1)
3.4 Taking basic steps
25(1)
3.5 Fixing common problems
25(1)
3.6 Using computer resources
26(1)
3.7 Practicing good mathematical judgment
27(2)
Exercises
27(2)
4 How to Present Mathematics
29(6)
4.1 Why give a presentation of mathematics?
29(1)
4.2 Preparing your talk
30(1)
4.3 Dos and DON'Ts
30(1)
4.4 Using technology
31(1)
4.5 Answering questions
31(1)
4.6 Publishing your research
31(4)
Exercises
32(3)
5 Looking Ahead: Taking Professional Steps
35(4)
Exercises
38(1)
6 What is it Like Being a Mathematician?
39(6)
Exercises
42(3)
7 Guide to Web Resources
45(4)
Exercises
48(1)
8 A Mathematical Scavenger Hunt
49(6)
8.1 Mathematicians
49(1)
8.2 Mathematical concepts
50(1)
8.3 Mathematical challenges
51(1)
8.4 Mathematical culture
52(1)
8.5 Mathematical fun
53(2)
II The Tools of Modern Mathematics
55(190)
Introduction
57(2)
9 Getting Started with LATEX
59(18)
9.1 What is TEX?
59(1)
9.2 What is LATEX?
60(1)
9.3 How to create LATEX files
60(1)
9.4 How to create and typeset a simple LATEX document
60(1)
9.5 How to add basic information to your document
61(2)
9.6 How to do elementary mathematical typesetting
63(3)
9.7 How to do advanced mathematical typesetting
66(3)
9.8 How to use graphics
69(3)
9.9 How to learn more
72(5)
Exercises
72(5)
10 Getting Started with PSTricks
77(14)
10.1 What is PSTricks?
77(1)
10.2 How to make simple picture
78(4)
10.3 How to plot functions
82(3)
10.4 How to make pictures with nodes
85(3)
10.5 How to learn more
88(3)
Exercises
88(3)
11 Getting Started with Beamer
91(6)
11.1 What is Beamer?
91(1)
11.2 How to think in terms of frames
92(1)
11.3 How to set up a Beamer document
92(2)
11.4 How to enhance a Beamer presentation
94(1)
11.5 How to learn more
95(2)
Exercises
95(2)
12 Getting Started with Mathematica® Maple® and Maxima
97(32)
12.1 What is a computer algebra system?
97(1)
12.2 How to use a CAS as a calculator
98(8)
12.3 How to compute functions
106(8)
12.4 How to make graphs
114(6)
12.5 How to do simple programming
120(4)
12.6 How to learn more
124(5)
Exercises
124(5)
13 Getting Started with MATLAB® and Octave
129(20)
13.1 What are MATLAB and Octave?
129(2)
13.2 How to explore Linear Algebra
131(5)
13.3 How to plot a curve in two dimensions
136(2)
13.4 How to plot a surface in three dimensions
138(4)
13.5 How to manipulate the appearance of plots
142(2)
13.6 Other considerations
144(1)
13.7 How to learn more
145(4)
Exercises
145(4)
14 Getting Started with R
149(14)
14.1 What is R?
149(1)
14.2 How to use R as a calculator
150(2)
14.3 How to explore and describe data
152(3)
14.4 How to explore relationships
155(3)
14.5 How to test hypotheses
158(1)
14.6 How to generate table values and simulate data
159(1)
14.7 How to make a plot ready to print
160(1)
14.8 How to learn more
161(2)
Exercises
161(2)
15 Getting Started with HTML
163(12)
15.1 What is HTML?
163(1)
15.2 How to create a simple Web page
164(5)
15.3 How to add images to your Web pages
169(1)
15.4 How to add links to your Web pages
169(2)
15.5 How to design your Web pages
171(1)
15.6 How to learn more
172(3)
Exercises
172(3)
16 Getting Started with Geometer's Sketchpad® and GeoGebra
175(20)
16.1 What are Geometer's Sketchpad and GeoGebra?
175(1)
16.2 How to use Geometer's Sketchpad
176(4)
16.3 How to use GeoGebra
180(3)
16.4 How to do more elaborate sketches in Geometer's Sketchpad
183(4)
16.5 How to do more elaborate sketches in GeoGebra
187(4)
16.6 How to export images from Geometer's Sketchpad and GeoGebra
191(1)
16.7 How to learn more
191(4)
Exercises
191(4)
17 Getting Started with PostScript®
195(26)
17.1 What is PostScript?
195(1)
17.2 How to use the stack
196(1)
17.3 How to make simple pictures
197(7)
17.4 How to add text to pictures
204(1)
17.5 How to use programming constructs
205(5)
17.6 How to add color to pictures
210(3)
17.7 More examples
213(5)
17.8 How to learn more
218(3)
Exercises
218(3)
18 Getting Started with Computer Programming Languages
221(8)
18.1 Why program?
221(1)
18.2 How to choose a language
222(5)
18.3 How to learn more
227(2)
Exercises
227(2)
19 Getting Started with Free and Open Source Software
229(12)
19.1 What is free and open source software?
229(1)
19.2 Why use free and open source software?
230(1)
19.3 What is Linux?
231(1)
19.4 How to install Linux
232(1)
19.5 Where to get Linux applications
233(1)
19.6 How is Linux familiar?
234(1)
19.7 How is Linux different?
235(2)
19.8 How to learn more
237(4)
Exercises
238(3)
20 Putting it All Together
241(4)
Exercises
242(3)
Bibliography 245(4)
Index 249
Donald Bindner is an assistant professor of mathematics at Truman State University. He is an advocate of free software.

Martin Erickson is a professor of mathematics at Truman State University. He has written several mathematics books, including Pearls of Discrete Mathematics (CRC Press, 2010) and Introduction to Number Theory (CRC Press, 2008) with Anthony Vazzana.