Author : Bob A. Dumas
Publisher : McGraw-Hill Education
Page : 0 pages
File Size : 41,62 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 : Edward C. K. Mullan
Publisher : Nelson Thornes
Page : 172 pages
File Size : 24,93 MB
Release : 2001
Category : Juvenile Nonfiction
ISBN : 9780174315421
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 : Katherine Pate
Publisher : Pearson Education
Page : 416 pages
File Size : 26,29 MB
Release : 2020-06-11
Category : Mathematics
ISBN : 1292346124
The new edition of Pearson Edexcel GCSE (9-1) Mathematics Higher Student Book 1 develops reasoning, fluency and problem-solving to boost students’ confidence and give them the best preparation for GCSE study. Purposefully updated based on feedback from thousands of teachers and students, as well as academic research and impact studies Bolsters preparation for GCSE with new questions that reflect the latest exams and a format that seamlessly aligns with our GCSE Maths courses Shown to help GCSE students master maths with confidence with a UK-specific approach that draws upon global best practices and cutting-edge research Tried-and-tested differentiation with a unique unit structure and improved pacing to support every student’s progress Extra skills-building support, problem-solving, and meaningful practice to consolidate learning and deepen understanding New additions to boost progression and post-GCSE study such as ‘Future skills questions’ and ‘Working towards A level’ features
Author : Oleg A. Ivanov
Publisher : Springer Science & Business Media
Page : 210 pages
File Size : 26,67 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 : Stephen Fletcher Hewson
Publisher : World Scientific
Page : 672 pages
File Size : 27,79 MB
Release : 2009
Category : Education
ISBN : 9812834079
Although higher mathematics is beautiful, natural and interconnected, to the uninitiated it can feel like an arbitrary mass of disconnected technical definitions, symbols, theorems and methods. An intellectual gulf needs to be crossed before a true, deep appreciation of mathematics can develop. This book bridges this mathematical gap. It focuses on the process of discovery as much as the content, leading the reader to a clear, intuitive understanding of how and why mathematics exists in the way it does.The narrative does not evolve along traditional subject lines: each topic develops from its simplest, intuitive starting point; complexity develops naturally via questions and extensions. Throughout, the book includes levels of explanation, discussion and passion rarely seen in traditional textbooks. The choice of material is similarly rich, ranging from number theory and the nature of mathematical thought to quantum mechanics and the history of mathematics. It rounds off with a selection of thought-provoking and stimulating exercises for the reader.
Author : Jason H. Goodfriend
Publisher : Jones & Bartlett Learning
Page : 346 pages
File Size : 14,74 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 : Robert Barclay
Publisher : Hodder Gibson
Page : 678 pages
File Size : 41,65 MB
Release : 2019-09-02
Category : Study Aids
ISBN : 1510460292
The complete textbook for the SQA Higher Maths course, updated in accordance with latest syllabus guidelines. - Arranged by topic, but with complete flexibility to teach in preferred order - Unique 'hinge-point' questions to test readiness to progress further in each topic - or go back and revise - Written by three outstanding and experienced teachers, examiners and authors
Author : George R. Exner
Publisher : Springer Science & Business Media
Page : 232 pages
File Size : 36,59 MB
Release : 1999-06-22
Category : Mathematics
ISBN : 9780387946177
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 : Sam Vandervelde
Publisher : Lulu.com
Page : 258 pages
File Size : 23,96 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 : Valentin Deaconu
Publisher : CRC Press
Page : 213 pages
File Size : 50,17 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.
