Higher Math for Beginners
Author : Y. B. Zeldovich
Publisher : Prentice Hall
Page : 560 pages
File Size : 31,48 MB
Release : 1987
Category : Mathematics
ISBN : 9780133876482
Author : Y. B. Zeldovich
Publisher : Prentice Hall
Page : 560 pages
File Size : 31,48 MB
Release : 1987
Category : Mathematics
ISBN : 9780133876482
Author : Bob A. Dumas
Publisher : McGraw-Hill Education
Page : 0 pages
File Size : 35,85 MB
Release : 2007
Category : Logic, Symbolic and mathematical
ISBN : 9780071106474
This book is written for students who have taken calculus and want to learn what "real mathematics" is.
Author : Oleg A. Ivanov
Publisher : Springer Science & Business Media
Page : 210 pages
File Size : 10,63 MB
Release : 1999
Category : Mathematics
ISBN : 9780387985213
An introduction for readers with some high school mathematics to both the higher and the more fundamental developments of the basic themes of elementary mathematics. Chapters begin with a series of elementary problems, cleverly concealing more advanced mathematical ideas. These are then made explicit and further developments explored, thereby deepending and broadening the readers' understanding of mathematics. The text arose from a course taught for several years at St. Petersburg University, and nearly every chapter ends with an interesting commentary on the relevance of its subject matter to the actual classroom setting. However, it may be recommended to a much wider readership; even the professional mathematician will derive much pleasureable instruction from it.
Author : Sam Vandervelde
Publisher : Lulu.com
Page : 258 pages
File Size : 23,7 MB
Release : 2010
Category : Education
ISBN : 055750337X
This engaging math textbook is designed to equip students who have completed a standard high school math curriculum with the tools and techniques that they will need to succeed in upper level math courses. Topics covered include logic and set theory, proof techniques, number theory, counting, induction, relations, functions, and cardinality.
Author : Richard Earl
Publisher : Cambridge University Press
Page : 545 pages
File Size : 17,56 MB
Release : 2017-09-07
Category : Mathematics
ISBN : 1107162386
This book allows students to stretch their mathematical abilities and bridges the gap between school and university.
Author : Valentin Deaconu
Publisher : CRC Press
Page : 213 pages
File Size : 15,68 MB
Release : 2016-12-19
Category : Mathematics
ISBN : 1498775276
A Bridge to Higher Mathematics is more than simply another book to aid the transition to advanced mathematics. The authors intend to assist students in developing a deeper understanding of mathematics and mathematical thought. The only way to understand mathematics is by doing mathematics. The reader will learn the language of axioms and theorems and will write convincing and cogent proofs using quantifiers. Students will solve many puzzles and encounter some mysteries and challenging problems. The emphasis is on proof. To progress towards mathematical maturity, it is necessary to be trained in two aspects: the ability to read and understand a proof and the ability to write a proof. The journey begins with elements of logic and techniques of proof, then with elementary set theory, relations and functions. Peano axioms for positive integers and for natural numbers follow, in particular mathematical and other forms of induction. Next is the construction of integers including some elementary number theory. The notions of finite and infinite sets, cardinality of counting techniques and combinatorics illustrate more techniques of proof. For more advanced readers, the text concludes with sets of rational numbers, the set of reals and the set of complex numbers. Topics, like Zorn’s lemma and the axiom of choice are included. More challenging problems are marked with a star. All these materials are optional, depending on the instructor and the goals of the course.
Author : Jason H. Goodfriend
Publisher : Jones & Bartlett Learning
Page : 346 pages
File Size : 23,86 MB
Release : 2005
Category : Computers
ISBN : 9780763727338
A Gateway to Higher Mathematics integrates the process of teaching students how to do proofs into the framework of displaying the development of the real number system. The text eases the students into learning how to construct proofs, while preparing students how to cope with the type of proofs encountered in the higher-level courses of abstract algebra, analysis, and number theory. After using this text, the students will not only know how to read and construct proofs, they will understand much about the basic building blocks of mathematics. The text is designed so that the professor can choose the topics to be emphasized, while leaving the remainder as a reference for the students.
Author : Jacob Lurie
Publisher : Princeton University Press
Page : 944 pages
File Size : 18,95 MB
Release : 2009-07-26
Category : Mathematics
ISBN : 0691140480
In 'Higher Topos Theory', Jacob Lurie presents the foundations of this theory using the language of weak Kan complexes introduced by Boardman and Vogt, and shows how existing theorems in algebraic topology can be reformulated and generalized in the theory's new language.
Author :
Publisher : Univalent Foundations
Page : 484 pages
File Size : 47,30 MB
Release :
Category :
ISBN :
Author : Andrew Hacker
Publisher : New Press, The
Page : 257 pages
File Size : 29,59 MB
Release : 2010-05-25
Category : Education
ISBN : 1620970694
A New York Times–bestselling author looks at mathematics education in America—when it’s worthwhile, and when it’s not. Why do we inflict a full menu of mathematics—algebra, geometry, trigonometry, even calculus—on all young Americans, regardless of their interests or aptitudes? While Andrew Hacker has been a professor of mathematics himself, and extols the glories of the subject, he also questions some widely held assumptions in this thought-provoking and practical-minded book. Does advanced math really broaden our minds? Is mastery of azimuths and asymptotes needed for success in most jobs? Should the entire Common Core syllabus be required of every student? Hacker worries that our nation’s current frenzied emphasis on STEM is diverting attention from other pursuits and even subverting the spirit of the country. Here, he shows how mandating math for everyone prevents other talents from being developed and acts as an irrational barrier to graduation and careers. He proposes alternatives, including teaching facility with figures, quantitative reasoning, and understanding statistics. Expanding upon the author’s viral New York Times op-ed, The Math Myth is sure to spark a heated and needed national conversation—not just about mathematics but about the kind of people and society we want to be. “Hacker’s accessible arguments offer plenty to think about and should serve as a clarion call to students, parents, and educators who decry the one-size-fits-all approach to schooling.” —Publishers Weekly, starred review