An Introduction To Mathematical Thinking Algebra And Number Systems Pdf
Topics covered in this comprehensive introduction range from logic and proofs, integers and diophantine equations, congruences, induction and binomial theorem, rational and real numbers, and functions and bijections to cryptography, complex numbers, and polynomial equations. With its comprehensive appendices, this book is an excellent. Text: An Introduction to Mathematical Thinking (Algebra and Number Systems), by Gilbert and Vanstone, Prentice Hall.
Mathematical Thinking Book An Introduction to Mathematical Thinking: Algebra and Number Systems William J. Gilbert and Scott A.
Vanstone [312 pages. ISBN ] This book is designed for a first course in abstract mathematics for university students who wish to major in mathematics or computer science. At the same time as teaching algebra that will be useful in later studies, the book provides an introduction to mathematical thinking and to the art of writing proofs. The algebra in the book is centered around the number systems, from the integers to the complex numbers, and the solution of polynomial equations in these systems. Even though the mathematics in the book is classical, we include a very up-to-date application to cryptography that appeals to students as being very relevant.
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Watch the inbetweeners season 2 episode 7. For a first course in proof for Mathematics or Computer Science majors. Besides giving students the techniques for solving polynomial equations and congruences, An Introduction to Mathematical Thinking provides preparation for more advanced courses in Linear and Modern Algebra, as well as Calculus. This text introduces the mathematics and computer science student to proofs and mathematical thinking while teaching basic algebraic skills involving number systems, including the integers and complex numbers. Ample questions at the end of each chapter provide opportunities for learning and practice; the Exercises are routine applications of the material in the chapter, while the Problems require more ingenuity, ranging from easy to nearly impossible. This extensive pedagogy offers extreme flexibility to instructors for class and homework assignments.
Features • Classroom-tested for 10 years. • Enables students to use a text that is tried and true. • Cryptography–Provides an interesting new relevant application of congruences. • Provides students with a topic that will hold their interest, while gently introducing them to the advanced mathematical concept of congruences. • Complex numbers–Introduces a subject that is often taught hastily in more advanced courses.
An Introduction To Mathematical Thinking Algebra And Number Systems Pdf
• Provides students with an in-depth treatment of a topic that will be useful in their future courses. • Inexpensive paperback. • Over 600 exercises and 270 carefully graded problems–Including some very challenging problems that will keep the very good student interested in the material. • Provides both students and instructors with excellent pedagogical material. Complete solutions to all exercises and problems available from the publisher, in LaTeX and PDF. • Balanced approach–Provides both concrete and abstract ideas. • Enables students to learn to think abstractly and mathematically.
Downloadable Instructor Resources • ISM - for IRC download only Gilbert & Vanstone ISBN-10: • ISBN-13: 469 ©2005 • Electronic Book • Available isFirstMoreInfoLinkRendered=false isSecondMoreInfoLinkRendered=false caseVariable=true chkOnlineProduct=true chkCategoryInList=false chkCategoryNotInList=true answerBookRest= path/ProductBean/statusCode=26 productCategory=12 path/ProductBean/uopsTitleStatCd= productPrice= tabId=IR isBuyable=false /Properties/Data/Result/PearsonRoot/ProductBean/sourceCode=UK • (.1 MB) • (.6 MB) • (.7 MB) • (.7 MB) • (.4 MB) • (1.5 MB) • (.1 MB) • (2.3 MB) • (1.5 MB). Pearson Learning Solutions Nobody is smarter than you when it comes to reaching your students. You know how to convey knowledge in a way that is relevant and relatable to your class. It's the reason you always get the best out of them.