Higher Math for Beginners
Author: Y. B. Zeldovich
Publisher: Prentice Hall
Published: 1987
Total Pages: 560
ISBN-13: 9780133876482
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Easy as p?
Author: Oleg A. Ivanov
Publisher: Springer Science & Business Media
Published: 1999
Total Pages: 210
ISBN-13: 9780387985213
DOWNLOAD EBOOKAn 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.
Transition to Higher Mathematics
Author: Bob A. Dumas
Publisher: McGraw-Hill Education
Published: 2007
Total Pages: 0
ISBN-13: 9780071106474
DOWNLOAD EBOOKThis book is written for students who have taken calculus and want to learn what "real mathematics" is.
Bridge to Higher Mathematics
Author: Sam Vandervelde
Publisher: Lulu.com
Published: 2010
Total Pages: 258
ISBN-13: 055750337X
DOWNLOAD EBOOKThis 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.
A Bridge to Higher Mathematics
Author: Valentin Deaconu
Publisher: CRC Press
Published: 2016-12-19
Total Pages: 213
ISBN-13: 1498775276
DOWNLOAD EBOOKA 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.
Real Analysis
Author: N. L. Carothers
Publisher: Cambridge University Press
Published: 2000-08-15
Total Pages: 420
ISBN-13: 9780521497565
DOWNLOAD EBOOKA text for a first graduate course in real analysis for students in pure and applied mathematics, statistics, education, engineering, and economics.
All the Mathematics You Missed
Author: Thomas A. Garrity
Publisher: 清华大学出版社有限公司
Published: 2004
Total Pages: 380
ISBN-13: 9787302090854
DOWNLOAD EBOOKTowards Higher Mathematics: A Companion
Author: Richard Earl
Publisher: Cambridge University Press
Published: 2017-09-07
Total Pages: 545
ISBN-13: 1107162386
DOWNLOAD EBOOKThis book allows students to stretch their mathematical abilities and bridges the gap between school and university.
The Definitive Guide to Learning Higher Mathematics
Author: Math Vault
Publisher: Math Vault Publishing
Published: 2018-11-01
Total Pages: 86
ISBN-13:
DOWNLOAD EBOOKThe Definitive Guide to Learning Higher Mathematics is a comprehensive, illustrated guide to help you optimize higher mathematical learning, thinking and problem solving through 10 foundational principles and countless actionable tips. In 10 chapters and 86 pages, it’ll take you around the different aspects of higher mathematical learning, leaving no stone unturned from material selection, big picture thinking, proximal zone, cognitive techniques to proactive learning, head-processing, scientific method and social learning. Hightlights - Extensive actionable tips to illustrate each principle involved - Extensive annotations, pro-tips, quotes and illustrations for better insight - Carefully prepared after-chapter summaries for better understanding - Printable PDF format (8.5 in. x 11 in.) with linkable table of contents and index for handy reference and reviewing Table of Contents 0. Preface 1. Choose Your Materials Judiciously 2. Always Keep the Big Picture in Mind 3. Operate within the Proximal Zone 4. Isolate Until Mastered Before Moving On 5. Be a Proactive, Independent Thinker and Learner 6. Do Most Things Inside Your Head 7. Practice the Scientific Method in a Creative Way 8. Don’t Fret Too Much About Real-life Applicability 9. Scale Up Learning by Going Social 10. Embrace the Mathematical Experience 11. Last Few Words 12. Index
Advanced Mathematics
Author: Stanley J. Farlow
Publisher: John Wiley & Sons
Published: 2019-10-02
Total Pages: 573
ISBN-13: 1119563534
DOWNLOAD EBOOKProvides a smooth and pleasant transition from first-year calculus to upper-level mathematics courses in real analysis, abstract algebra and number theory Most universities require students majoring in mathematics to take a “transition to higher math” course that introduces mathematical proofs and more rigorous thinking. Such courses help students be prepared for higher-level mathematics course from their onset. Advanced Mathematics: A Transitional Reference provides a “crash course” in beginning pure mathematics, offering instruction on a blendof inductive and deductive reasoning. By avoiding outdated methods and countless pages of theorems and proofs, this innovative textbook prompts students to think about the ideas presented in an enjoyable, constructive setting. Clear and concise chapters cover all the essential topics students need to transition from the "rote-orientated" courses of calculus to the more rigorous "proof-orientated” advanced mathematics courses. Topics include sentential and predicate calculus, mathematical induction, sets and counting, complex numbers, point-set topology, and symmetries, abstract groups, rings, and fields. Each section contains numerous problems for students of various interests and abilities. Ideally suited for a one-semester course, this book: Introduces students to mathematical proofs and rigorous thinking Provides thoroughly class-tested material from the authors own course in transitioning to higher math Strengthens the mathematical thought process of the reader Includes informative sidebars, historical notes, and plentiful graphics Offers a companion website to access a supplemental solutions manual for instructors Advanced Mathematics: A Transitional Reference is a valuable guide for undergraduate students who have taken courses in calculus, differential equations, or linear algebra, but may not be prepared for the more advanced courses of real analysis, abstract algebra, and number theory that await them. This text is also useful for scientists, engineers, and others seeking to refresh their skills in advanced math.
