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Author: Mary Teresa Fyfe
Publisher:
ISBN: 9780955547706
Category : Mathematics
Languages : en
Pages : 0
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Book Description
Author: Mary Teresa Fyfe
Publisher:
ISBN: 9780955547706
Category : Mathematics
Languages : en
Pages : 0
Get Book Here
Book Description
Author: Mary Teresa Fyfe
Publisher:
ISBN: 9780955547737
Category : Mathematics
Languages : en
Pages : 0
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Book Description
Author: Valentin Deaconu
Publisher: CRC Press
ISBN: 1498775276
Category : Mathematics
Languages : en
Pages : 213
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Book Description
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: John A. Graham
Publisher:
ISBN: 9780395262542
Category : Mathematics
Languages : en
Pages : 58
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Book Description
Author: Rose A. McDonnell
Publisher:
ISBN: 9780821582039
Category : Mathematics
Languages : en
Pages : 0
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Book Description
Author: Abbas Bahri
Publisher: World Scientific
ISBN: 1860947727
Category : Science
Languages : en
Pages : 522
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Book Description
This book presents a new front of research in conformal geometry, on sign-changing Yamabe-type problems and contact form geometry in particular. New ground is broken with the establishment of a Morse lemma at infinity for sign-changing Yamabe-type problems. This family of problems, thought to be out of reach a few years ago, becomes a family of problems which can be studied: the book lays the foundation for a program of research in this direction.In contact form geometry, a cousin of symplectic geometry, the authors prove a fundamental result of compactness in a variational problem on Legrendrian curves, which allows one to define a homology associated to a contact structure and a vector field of its kernel on a three-dimensional manifold. The homology is invariant under deformation of the contact form, and can be read on a sub-Morse complex of the Morse complex of the variational problem built with the periodic orbits of the Reeb vector-field. This book introduces, therefore, a practical tool in the field, and this homology becomes computable.
Author: Paul DuChateau
Publisher: Courier Corporation
ISBN: 0486141594
Category : Mathematics
Languages : en
Pages : 401
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Book Description
This book can be used as either a primary text or a supplemental reference for courses in applied mathematics. Its core chapters are devoted to linear algebra, calculus, and ordinary differential equations. Additional topics include partial differential equations and approximation methods. Each chapter features an ample selection of solved problems. These problems were chosen to illustrate not only how to solve various algebraic and differential equations but also how to interpret the solutions in order to gain insight into the behavior of the system modeled by the equation. In addition to the worked-out problems, numerous examples and exercises appear throughout the text.
Author: Alexander Soifer
Publisher: Springer Science & Business Media
ISBN: 0817680926
Category : Mathematics
Languages : en
Pages : 199
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Book Description
This book explores the theory’s history, recent developments, and some promising future directions through invited surveys written by prominent researchers in the field. The first three surveys provide historical background on the subject; the last three address Euclidean Ramsey theory and related coloring problems. In addition, open problems posed throughout the volume and in the concluding open problem chapter will appeal to graduate students and mathematicians alike.
Author: Richard Earl
Publisher: Cambridge University Press
ISBN: 1108327184
Category : Mathematics
Languages : en
Pages : 546
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Book Description
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: Sorin Dragomir
Publisher: Springer Science & Business Media
ISBN: 1461220262
Category : Mathematics
Languages : en
Pages : 332
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Book Description
. E C, 0 1'1 1, and n E Z, n ~ 2. Let~.. be the O-dimensional Lie n group generated by the transformation z ~ >.z, z E C - {a}. Then (cf.
