Higher Mathematics

Author : Jason H. Goodfriend
Publisher : Jones & Bartlett Learning
Page : 346 pages
File Size : 41,6 Mb
Release : 2005
Category : Computers
ISBN : 0763727334

Get Book

A Gateway to Higher Mathematics by Jason H. Goodfriend Pdf

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 : Oleg A. Ivanov
Publisher : Springer Science & Business Media
Page : 210 pages
File Size : 41,8 Mb
Release : 1999
Category : Mathematics
ISBN : 0387985212

Get Book

Easy as p? by Oleg A. Ivanov Pdf

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 : Valentin Deaconu,Donald C. Pfaff
Publisher : CRC Press
Page : 194 pages
File Size : 43,7 Mb
Release : 2016-12-19
Category : Mathematics
ISBN : 9781498775274

Get Book

A Bridge to Higher Mathematics by Valentin Deaconu,Donald C. Pfaff Pdf

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 : Mansfield Merriman,Robert Simpson Woodward
Publisher : Unknown
Page : 618 pages
File Size : 50,6 Mb
Release : 1898
Category : Error analysis (Mathematics)
ISBN : UCAL:$B418302

Get Book

Higher Mathematics by Mansfield Merriman,Robert Simpson Woodward Pdf

Author : Bob A. Dumas,John Edward McCarthy
Publisher : McGraw-Hill Education
Page : 0 pages
File Size : 45,6 Mb
Release : 2007
Category : Logic, Symbolic and mathematical
ISBN : 0071106472

Get Book

Transition to Higher Mathematics by Bob A. Dumas,John Edward McCarthy Pdf

This book is written for students who have taken calculus and want to learn what "real mathematics" is.

Author : Gabor J. Szekely
Publisher : Springer Science & Business Media
Page : 576 pages
File Size : 55,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461207337

Get Book

Contests in Higher Mathematics by Gabor J. Szekely Pdf

One of the most effective ways to stimulate students to enjoy intellectual efforts is the scientific competition. In 1894 the Hungarian Mathematical and Physical Society introduced a mathematical competition for high school students. The success of high school competitions led the Mathematical Society to found a college level contest, named after Miklós Schweitzer. The problems of the Schweitzer Contests are proposed and selected by the most prominent Hungarian mathematicians. This book collects the problems posed in the contests between 1962 and 1991 which range from algebra, combinatorics, theory of functions, geometry, measure theory, number theory, operator theory, probability theory, topology, to set theory. The second part contains the solutions. The Schweitzer competition is one of the most unique in the world. The experience shows that this competition helps to identify research talents. This collection of problems and solutions in several fields in mathematics can serve as a guide for many undergraduates and young mathematicians. The large variety of research level problems might be of interest for more mature mathematicians and historians of mathematics as well.

Author : Hiroyuki Shima,Tsuneyoshi Nakayama
Publisher : Springer Science & Business Media
Page : 693 pages
File Size : 40,7 Mb
Release : 2010-04-12
Category : Science
ISBN : 9783540878643

Get Book

Higher Mathematics for Physics and Engineering by Hiroyuki Shima,Tsuneyoshi Nakayama Pdf

Due to the rapid expansion of the frontiers of physics and engineering, the demand for higher-level mathematics is increasing yearly. This book is designed to provide accessible knowledge of higher-level mathematics demanded in contemporary physics and engineering. Rigorous mathematical structures of important subjects in these fields are fully covered, which will be helpful for readers to become acquainted with certain abstract mathematical concepts. The selected topics are: - Real analysis, Complex analysis, Functional analysis, Lebesgue integration theory, Fourier analysis, Laplace analysis, Wavelet analysis, Differential equations, and Tensor analysis. This book is essentially self-contained, and assumes only standard undergraduate preparation such as elementary calculus and linear algebra. It is thus well suited for graduate students in physics and engineering who are interested in theoretical backgrounds of their own fields. Further, it will also be useful for mathematics students who want to understand how certain abstract concepts in mathematics are applied in a practical situation. The readers will not only acquire basic knowledge toward higher-level mathematics, but also imbibe mathematical skills necessary for contemporary studies of their own fields.

Author : Peter Fletcher
Publisher : Unknown
Page : 0 pages
File Size : 51,9 Mb
Release : 1992
Category : Mathematics
ISBN : 0534983863

Get Book

Foundations of Higher Mathematics by Peter Fletcher Pdf

Author : Sam Vandervelde
Publisher : Lulu.com
Page : 258 pages
File Size : 52,9 Mb
Release : 2010
Category : Mathematics
ISBN : 9780557503377

Get Book

Bridge to Higher Mathematics by Sam Vandervelde Pdf

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 : Ralph Riddiough,Deanne Thomas
Publisher : Nelson Thornes
Page : 172 pages
File Size : 47,8 Mb
Release : 1998
Category : Juvenile Nonfiction
ISBN : 0174314965

Get Book

Statistics for Higher Mathematics by Ralph Riddiough,Deanne Thomas Pdf

Full coverage of the Statistics unit is provided in a separate book which covers everything your students need for this option.

Author : Edward C. K. Mullan,Peter Westwood,Clive Chambers
Publisher : Nelson Thornes
Page : 172 pages
File Size : 42,9 Mb
Release : 2001
Category : Juvenile Nonfiction
ISBN : 0174315422

Get Book

Maths in Action - Advanced Higher Mathematics 2 by Edward C. K. Mullan,Peter Westwood,Clive Chambers Pdf

This is a series of five books each covering a separate unit of the Advanced Higher course. This unit structure gives you the flexibility to put together a complete course or to offer separate units of study.

Author : George R. Exner
Publisher : Springer Science & Business Media
Page : 212 pages
File Size : 49,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461239987

Get Book

An Accompaniment to Higher Mathematics by George R. Exner Pdf

Designed for students preparing to engage in their first struggles to understand and write proofs and to read mathematics independently, this is well suited as a supplementary text in courses on introductory real analysis, advanced calculus, abstract algebra, or topology. The book teaches in detail how to construct examples and non-examples to help understand a new theorem or definition; it shows how to discover the outline of a proof in the form of the theorem and how logical structures determine the forms that proofs may take. Throughout, the text asks the reader to pause and work on an example or a problem before continuing, and encourages the student to engage the topic at hand and to learn from failed attempts at solving problems. The book may also be used as the main text for a "transitions" course bridging the gap between calculus and higher mathematics. The whole concludes with a set of "Laboratories" in which students can practice the skills learned in the earlier chapters on set theory and function theory.

Author : Richard Earl
Publisher : Cambridge University Press
Page : 546 pages
File Size : 53,7 Mb
Release : 2017-09-07
Category : Mathematics
ISBN : 9781108327183

Get Book

Towards Higher Mathematics: A Companion by Richard Earl Pdf

Containing a large and varied set of problems, this rich resource will allow students to stretch their mathematical abilities beyond the school syllabus, and bridge the gap to university-level mathematics. Many proofs are provided to better equip students for the transition to university. The author covers substantial extension material using the language of sixth form mathematics, thus enabling students to understand the more complex material. Exercises are carefully chosen to introduce students to some central ideas, without building up large amounts of abstract technology. There are over 1500 carefully graded exercises, with hints included in the text, and solutions available online. Historical and contextual asides highlight each area of mathematics and show how it has developed over time.

Author : Chandresh Agrawal,nandini books
Publisher : Chandresh Agrawal
Page : 280 pages
File Size : 52,8 Mb
Release : 2024-06-29
Category : Mathematics
ISBN : 8210379456XXX

Get Book

NIMCET- PDF NIT MCA Common Entrance Test eBook Higher Mathematics Subject Only by Chandresh Agrawal,nandini books Pdf

SGN.The NIMCET-NIT MCA Common Entrance Test PDF eBook Higher Mathematics Subject Only Covers Objective Questions Asked In Various Exams With Answers.

Author : Vladimir Ivanovich Smirnov
Publisher : Unknown
Page : 1048 pages
File Size : 40,8 Mb
Release : 1964
Category : Mathematical analysis
ISBN : UCSC:32106006183427

Get Book

A Course of Higher Mathematics by Vladimir Ivanovich Smirnov Pdf