Advanced Math
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Introduction To Advanced Mathematics
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Author : William Barnier
language : en
Publisher:
Release Date : 1990-01
Introduction To Advanced Mathematics written by William Barnier and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-01 with Mathematics categories.
An exploration of the analytical tools of advanced math.
Advanced Math
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Author : Theodore E Brown
language : en
Publisher: Houghton Mifflin
Release Date : 1988-06
Advanced Math written by Theodore E Brown and has been published by Houghton Mifflin this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-06 with Mathematics categories.
Advanced Mathematics
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Author : Stanley J. Farlow
language : en
Publisher: John Wiley & Sons
Release Date : 2019-10-08
Advanced Mathematics written by Stanley J. Farlow and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-08 with Mathematics categories.
Provides 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 By avoiding outdated methods and countless pages of theorems and proofs, this innovative textbook prompts students to think about the ideas presented in an enjoyable, constructive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.
The Keys To Advanced Mathematics
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Author : Daniel Solow
language : en
Publisher:
Release Date : 1995
The Keys To Advanced Mathematics written by Daniel Solow and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Mathematics categories.
Here is a unique book that reduces the time & frustration involved in learning virtually every college-level undergraduate mathematics course & is as appropriate for freshman as it is for seniors. Standard textbooks teach specific subject matter, but this book explains for the first time the underlying thinking processes used in all of these courses. This book is therefore suitable as a supplement & as a reference for all of the following courses: discrete mathematics, linear algebra, abstract algebra, real analysis, transition-to-advanced math courses, courses on proofs & mathematical reasoning, & many more. There is currently no book on the market like this. You will not be able to keep this book on the shelf, but do not take our word for it -- Ask the head of your math department about this book. Distributed by BookMasters Distribution Center, P.O. Box 388, 1444 St. Route 42, Ashland, OH 44805. Phone (800) 247-6553, FAX (419) 281-6883.
Tools Of The Trade
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Author : Paul J. Sally (Jr.)
language : en
Publisher: American Mathematical Soc.
Release Date : 2008
Tools Of The Trade written by Paul J. Sally (Jr.) and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.
"This book provides a transition from the formula-full aspects of the beginning study of college level mathematics to the rich and creative world of more advanced topics. It is designed to assist the student in mastering the techniques of analysis and proof that are required to do mathematics." "Along with the standard material such as linear algebra, construction of the real numbers via Cauchy sequences, metric spaces and complete metric spaces, there are three projects at the end of each chapter that form an integral part of the text. These projects include a detailed discussion of topics such as group theory, convergence of infinite series, decimal expansions of real numbers, point set topology and topological groups. They are carefully designed to guide the student through the subject matter. Together with numerous exercises included in the book, these projects may be used as part of the regular classroom presentation, as self-study projects for students, or for Inquiry Based Learning activities presented by the students."--BOOK JACKET.
The Elements Of Advanced Mathematics
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Author : Steven G. Krantz
language : en
Publisher: CRC Press
Release Date : 2017-11-02
The Elements Of Advanced Mathematics written by Steven G. Krantz and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-02 with Mathematics categories.
The Elements of Advanced Mathematics, Fourth Edition is the latest edition of the author’s bestselling series of texts. Expanding on previous editions, the new Edition continues to provide students with a better understanding of proofs, a core concept for higher level mathematics. To meet the needs of instructors, the text is aligned directly with course requirements. The author connects computationally and theoretically based mathematics, helping students develop a foundation for higher level mathematics. To make the book more pertinent, the author removed obscure topics and included a chapter on elementary number theory. Students gain the momentum to further explore mathematics in the real world through an introduction to cryptography. These additions, along with new exercises and proof techniques, will provide readers with a strong and relevant command of mathematics. Presents a concise presentation of the material Covers logic, sets and moves to more advanced topics including topology Provides greater coverage of number theory and cryptography Streamlined to focus on the core of this course
Introduction To Advanced Mathematics A Guide To Understanding Proofs
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Author : Connie M. Campbell
language : en
Publisher: Cengage Learning
Release Date : 2011-01-01
Introduction To Advanced Mathematics A Guide To Understanding Proofs written by Connie M. Campbell and has been published by Cengage Learning this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-01-01 with Mathematics categories.
This text offers a crucial primer on proofs and the language of mathematics. Brief and to the point, it lays out the fundamental ideas of abstract mathematics and proof techniques that students will need to master for other math courses. Campbell presents these concepts in plain English, with a focus on basic terminology and a conversational tone that draws natural parallels between the language of mathematics and the language students communicate in every day. The discussion highlights how symbols and expressions are the building blocks of statements and arguments, the meanings they convey, and why they are meaningful to mathematicians. In-class activities provide opportunities to practice mathematical reasoning in a live setting, and an ample number of homework exercises are included for self-study. This text is appropriate for a course in Foundations of Advanced Mathematics taken by students who've had a semester of calculus, and is designed to be accessible to students with a wide range of mathematical proficiency. It can also be used as a self-study reference, or as a supplement in other math courses where additional proofs practice is needed. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.
Mathemagics A Magical Journey Through Advanced Mathematics Connecting More Than 60 Magic Tricks To High Level Math
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Author : Ricardo V Teixeira
language : en
Publisher: World Scientific
Release Date : 2020-05-29
Mathemagics A Magical Journey Through Advanced Mathematics Connecting More Than 60 Magic Tricks To High Level Math written by Ricardo V Teixeira and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-29 with Mathematics categories.
'This delightful book connects mathematical concepts in a dozen areas to magic tricks. Expositions of the mathematics precede description and analysis of the tricks. The expositions are too short for in-depth learning; the intent is to give sophomores a taste of the content and ideas of later mathematics courses. Each chapter features exercises on the mathematics, and students can have fun practicing the tricks.'Mathematics MagazineTeixeira and Park present over 60 different magic tricks while introducing students to high-level math areas. Readers will learn really interesting ideas that will better prepare them for future courses and help them finding areas they might want to study deeper. And as a 'side effect' students will learn amazing magic tricks, century-old secrets, and details from famous magicians and mathematicians.The material was written to quickly present key concepts in several mathematical areas in direct way. Little or no proficiency in math is assumed. In fact, students do not require any Calculus knowledge. And since chapters are almost independent from each other, this book also work as introduction to several other courses.Topics covered include mathematical proofs, probability, abstract algebra, linear algebra, mathematical computing, number theory, coding theory, geometry, topology, real analysis, numerical analysis and history of math.
Fundamentals Of Advanced Mathematics 1
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Author : Henri Bourles
language : en
Publisher: Elsevier
Release Date : 2017-07-10
Fundamentals Of Advanced Mathematics 1 written by Henri Bourles and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-07-10 with Mathematics categories.
This precis, comprised of three volumes, of which this book is the first, exposes the mathematical elements which make up the foundations of a number of contemporary scientific methods: modern theory on systems, physics and engineering. This first volume focuses primarily on algebraic questions: categories and functors, groups, rings, modules and algebra. Notions are introduced in a general framework and then studied in the context of commutative and homological algebra; their application in algebraic topology and geometry is therefore developed. These notions play an essential role in algebraic analysis (analytico-algebraic systems theory of ordinary or partial linear differential equations). The book concludes with a study of modules over the main types of rings, the rational canonical form of matrices, the (commutative) theory of elemental divisors and their application in systems of linear differential equations with constant coefficients. - Part of the New Mathematical Methods, Systems, and Applications series - Presents the notions, results, and proofs necessary to understand and master the various topics - Provides a unified notation, making the task easier for the reader. - Includes several summaries of mathematics for engineers
A Transition To Proof
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Author : Neil R. Nicholson
language : en
Publisher: CRC Press
Release Date : 2019-03-21
A Transition To Proof written by Neil R. Nicholson and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-21 with Mathematics categories.
A Transition to Proof: An Introduction to Advanced Mathematics describes writing proofs as a creative process. There is a lot that goes into creating a mathematical proof before writing it. Ample discussion of how to figure out the "nuts and bolts'" of the proof takes place: thought processes, scratch work and ways to attack problems. Readers will learn not just how to write mathematics but also how to do mathematics. They will then learn to communicate mathematics effectively. The text emphasizes the creativity, intuition, and correct mathematical exposition as it prepares students for courses beyond the calculus sequence. The author urges readers to work to define their mathematical voices. This is done with style tips and strict "mathematical do’s and don’ts", which are presented in eye-catching "text-boxes" throughout the text. The end result enables readers to fully understand the fundamentals of proof. Features: The text is aimed at transition courses preparing students to take analysis Promotes creativity, intuition, and accuracy in exposition The language of proof is established in the first two chapters, which cover logic and set theory Includes chapters on cardinality and introductory topology