Numbers Sequences and Series

Numbers  Sequences and Series

Concerned with the logical foundations of number systems from integers to complex numbers.

Author: Keith E. Hirst

Publisher: Butterworth-Heinemann

ISBN: 9780340610435

Category: Mathematics

Page: 198

View: 497

Concerned with the logical foundations of number systems from integers to complex numbers.
Categories: Mathematics

Groups Modular Mathematics Series

Groups   Modular Mathematics Series

Kostrikin, A.I. and Shafarevich, I.R. (Eds) Algebra 1, Encyclopaedia of
Mathematical Sciences, vol 11, Springer-Verlag, Berlin Heidelberg, 1990. Martin,
G.E. ... Hirst, K.E. Numbers, Sequences, and Series, Edward Arnold (in this series
).

Author: Camilla Jordan

Publisher: Butterworth-Heinemann

ISBN: 9780080571652

Category: Mathematics

Page: 224

View: 287

This text provides an introduction to group theory with an emphasis on clear examples. The authors present groups as naturally occurring structures arising from symmetry in geometrical figures and other mathematical objects. Written in a 'user-friendly' style, where new ideas are always motivated before being fully introduced, the text will help readers to gain confidence and skill in handling group theory notation before progressing on to applying it in complex situations. An ideal companion to any first or second year course on the topic.
Categories: Mathematics

Analysis

Analysis

This book builds on the material covered in Numbers, Sequences and Series, and provides students with a thorough understanding of the subject as it is covered on first year courses.

Author: P. E. Kopp

Publisher: Butterworth-Heinemann

ISBN: 9780340645963

Category: Mathematics

Page: 188

View: 594

This book builds on the material covered in Numbers, Sequences and Series, and provides students with a thorough understanding of the subject as it is covered on first year courses.
Categories: Mathematics

Numbers and Proofs

Numbers and Proofs

Presented in the author's entertaining and informal style, and written to reflect the changing profile of students entering universities, this book will prove essential reading for all seeking an introduction to the notion of proof as well ...

Author: Reg Allenby

Publisher: Elsevier

ISBN: 9780080928777

Category: Mathematics

Page: 288

View: 390

'Numbers and Proofs' presents a gentle introduction to the notion of proof to give the reader an understanding of how to decipher others' proofs as well as construct their own. Useful methods of proof are illustrated in the context of studying problems concerning mainly numbers (real, rational, complex and integers). An indispensable guide to all students of mathematics. Each proof is preceded by a discussion which is intended to show the reader the kind of thoughts they might have before any attempt proof is made. Established proofs which the student is in a better position to follow then follow. Presented in the author's entertaining and informal style, and written to reflect the changing profile of students entering universities, this book will prove essential reading for all seeking an introduction to the notion of proof as well as giving a definitive guide to the more common forms. Stressing the importance of backing up "truths" found through experimentation, with logically sound and watertight arguments, it provides an ideal bridge to more complex undergraduate maths.
Categories: Mathematics

Discrete Mathematics

Discrete Mathematics

Other titles in this series Linear Algebra R B J T Allenby Mathematical Modelling
J Berry and K Houston Particle Mechanics C Collinson and T Roper Vectors in 2
or 3 Dimensions A E Hirst Numbers, Sequences and Series K E Hirst Groups C R
Jordan and D A Jordan Probability J ... E Kopp Statistics A Mayer and A M Sykes
Modular Mathematics Series Discrete Mathematics A Chetwynd and P Diggle.

Author: Amanda Chetwynd

Publisher: Elsevier

ISBN: 9780080928609

Category: Mathematics

Page: 224

View: 199

As an introduction to discrete mathematics, this text provides a straightforward overview of the range of mathematical techniques available to students. Assuming very little prior knowledge, and with the minimum of technical complication, it gives an account of the foundations of modern mathematics: logic; sets; relations and functions. It then develops these ideas in the context of three particular topics: combinatorics (the mathematics of counting); probability (the mathematics of chance) and graph theory (the mathematics of connections in networks). Worked examples and graded exercises are used throughout to develop ideas and concepts. The format of this book is such that it can be easily used as the basis for a complete modular course in discrete mathematics.
Categories: Mathematics

Probability Modular Mathematics Series

Probability   Modular Mathematics Series

... J. T. Rule of halves: implications of increasing diagnosis and reducing dropout
for future workload and prescribing costs in primary care. The British Journal of
General Practice 42, 116–19, 1992. Hirst, K. E. Numbers, Sequences and Series,
 ...

Author: John McColl

Publisher: Butterworth-Heinemann

ISBN: UCSC:32106015322024

Category: Mathematics

Page: 182

View: 102

Probability is relevant to so many different subject areas that its importance as a mathematical technique cannot be underestimated. This book provides a comprehensive, user-friendly introduction to the subject. The step-by-step approach taken by the author allows students to develop knowledge at their own pace and, by working through the numerous exercises, they are ensured a full understanding of the material before moving on to more advanced sections. Traditional examples of probablistic theory, such as coins and dice, are included but the author has also used many exercises based on real-life problems. The result is an introduction to probability that avoids the overly confusing, theoretical approach often adopted in this area, and provides a simple and concise text that will be invaluable to all studying first and second year courses on the subject.
Categories: Mathematics

Modular Functions and Dirichlet Series in Number Theory

Modular Functions and Dirichlet Series in Number Theory

This is the second volume of a 2-volume textbook* which evolved from a course (Mathematics 160) offered at the California Institute of Technology du ring the last 25 years.

Author: Tom M. Apostol

Publisher: Springer Science & Business Media

ISBN: 9781468499100

Category: Mathematics

Page: 198

View: 232

This is the second volume of a 2-volume textbook* which evolved from a course (Mathematics 160) offered at the California Institute of Technology du ring the last 25 years. The second volume presupposes a background in number theory com parable to that provided in the first volume, together with a knowledge of the basic concepts of complex analysis. Most of the present volume is devoted to elliptic functions and modular functions with some of their number-theoretic applications. Among the major topics treated are Rademacher's convergent series for the partition function, Lehner's congruences for the Fourier coefficients of the modular functionj( r), and Hecke's theory of entire forms with multiplicative Fourier coefficients. The last chapter gives an account of Bohr's theory of equivalence of general Dirichlet series. Both volumes of this work emphasize classical aspects of a subject wh ich in recent years has undergone a great deal of modern development. It is hoped that these volumes will help the nonspecialist become acquainted with an important and fascinating part of mathematics and, at the same time, will provide some of the background that belongs to the repertory of every specialist in the field. This volume, like the first, is dedicated to the students who have taken this course and have gone on to make notable contributions to number theory and other parts of mathematics. T. M. A. January, 1976 * The first volume is in the Springer-Verlag series Undergraduate Texts in Mathematics under the title Introduction to Analytic Number Theory.
Categories: Mathematics

Pure Mathematics

Pure Mathematics

A syllabus-specific textbook providing worked examples, exam-level questions and many practice exercises, in accordance to the new Edexcel AS and Advanced GCE specification.

Author: Geoff Mannall

Publisher: Heinemann

ISBN: 0435510886

Category: A-level examinations

Page: 273

View: 871

A syllabus-specific textbook providing worked examples, exam-level questions and many practice exercises, in accordance to the new Edexcel AS and Advanced GCE specification.
Categories: A-level examinations

Partitions q Series and Modular Forms

Partitions  q Series  and Modular Forms

Z. Cao, Integer matrix exact covering systems and product identities for theta
functions, acceptedby Int. Math. Res. Not. 4. ... F. G. Garvan, A generalization of
the Hirschhorn-Farkas-Kra septagonal numbers identity, Disc. Math. ... Lecture
Hall Sequences, q-Series, and Asymmetric Partition Identities Sylvie Corteel,. 11.
12.

Author: Krishnaswami Alladi

Publisher: Springer Science & Business Media

ISBN: 9781461400288

Category: Mathematics

Page: 224

View: 436

Partitions, q-Series, and Modular Forms contains a collection of research and survey papers that grew out of a Conference on Partitions, q-Series and Modular Forms at the University of Florida, Gainesville in March 2008. It will be of interest to researchers and graduate students that would like to learn of recent developments in the theory of q-series and modular and how it relates to number theory, combinatorics and special functions.
Categories: Mathematics

Edexcel GCSE Modular Mathematics Examples and Practice

Edexcel GCSE Modular Mathematics Examples and Practice

Offering students support for the Edexcel GCSE modular specification, this book provides an easy-to-follow course structure, extra practice questions and revision exercises tailored to each module.

Author: Karen Hughes

Publisher: Heinemann

ISBN: 0435535404

Category: General Certificate of Secondary Education

Page: 118

View: 229

Offering students support for the Edexcel GCSE modular specification, this book provides an easy-to-follow course structure, extra practice questions and revision exercises tailored to each module. Page numbers for the Edexcel GCSE mathematics student books are given for reference.
Categories: General Certificate of Secondary Education

Mathematical Thinking

Mathematical Thinking

This survey of both discrete and continuous mathematics focuses on the logical thinking skills necessary to understand and communicate fundamental ideas and proofs in mathematics, rather than on rote symbolic manipulation.

Author: John P. D'Angelo

Publisher: Pearson College Division

ISBN: 0130144126

Category: Mathematics

Page: 412

View: 442

This survey of both discrete and continuous mathematics focuses on the logical thinking skills necessary to understand and communicate fundamental ideas and proofs in mathematics, rather than on rote symbolic manipulation. Coverage begins with the fundamentals of mathematical language and proof techniques (such as induction); then applies them to easily-understood questions in elementary number theory and counting; then develops additional techniques of proofs via fundamental topics in discrete and continuous mathematics. Topics are addressed in the context of familiar objects; easily-understood, engaging examples; and over 700 stimulating exercises and problems, ranging from simple applications to subtle problems requiring ingenuity. ELEMENTARY CONCEPTS. Numbers, Sets and Functions. Language and Proofs. Properties of Functions. Induction. PROPERTIES OF NUMBERS. Counting and Cardinality. Divisibility. Modular Arithmetic. The Rational Numbers. DISCRETE MATHEMATICS. Combinatorial Reasoning. Two Principles of Counting. Graph Theory. Recurrence Relations. CONTINUOUS MATHEMATICS. The Real Numbers. Sequences and Series. Continuity. Differentiation. Integration. The Complex Numbers. For anyone interested in learning how to understand and write mathematical proofs, or a reference for college professors and high school teachers of mathematics.
Categories: Mathematics

Discrete Mathematics DeMYSTiFied

Discrete Mathematics DeMYSTiFied

Written by award-winning math professor Steven Krantz, Discrete Mathematics Demystified explains this challenging topic in an effective and enlightening way.

Author: Steven Krantz

Publisher: McGraw Hill Professional

ISBN: 9780071549493

Category: Mathematics

Page: 364

View: 113

MULTIPLY your chances of understanding DISCRETE MATHEMATICS If you're interested in learning the fundamentals of discrete mathematics but can't seem to get your brain to function, then here's your solution. Add this easy-to-follow guide to the equation and calculate how quickly you learn the essential concepts. Written by award-winning math professor Steven Krantz, Discrete Mathematics Demystified explains this challenging topic in an effective and enlightening way. You will learn about logic, proofs, functions, matrices, sequences, series, and much more. Concise explanations, real-world examples, and worked equations make it easy to understand the material, and end-of-chapter exercises and a final exam help reinforce learning. This fast and easy guide offers: Numerous figures to illustrate key concepts Sample problems with worked solutions Coverage of set theory, graph theory, and number theory Chapters on cryptography and Boolean algebra A time-saving approach to performing better on an exam or at work Simple enough for a beginner, but challenging enough for an advanced student, Discrete Mathematics Demystified is your integral tool for mastering this complex subject.
Categories: Mathematics

Competitive Math for Middle School

Competitive Math for Middle School

The 39 self-contained sections in this book present worked-out examples as well as many sample problems categorized by the level of difficulty as Bronze, Silver, and Gold in order to help the readers gauge their progress and learning.

Author: Vinod Krishnamoorthy

Publisher: CRC Press

ISBN: 9781351767637

Category: Mathematics

Page: 256

View: 336

The 39 self-contained sections in this book present worked-out examples as well as many sample problems categorized by the level of difficulty as Bronze, Silver, and Gold in order to help the readers gauge their progress and learning. Detailed solutions to all problems in each section are provided at the end of each chapter. The book can be used not only as a text but also for self-study. The text covers algebra (solving single equations and systems of equations of varying degrees, algebraic manipulations for creative problem solving, inequalities, basic set theory, sequences and series, rates and proportions, unit analysis, and percentages), probability (counting techniques, introductory probability theory, more set theory, permutations and combinations, expected value, and symmetry), and number theory (prime factorizations and their applications, Diophantine equations, number bases, modular arithmetic, and divisibility). It focuses on guiding students through creative problem-solving and on teaching them to apply their knowledge in a wide variety of scenarios rather than rote memorization of mathematical facts. It is aimed at, but not limited to, high-performing middle school students and goes further in depth and teaches new concepts not otherwise taught in traditional public schools.
Categories: Mathematics

Q series

Q series

Author: George E. Andrews

Publisher: American Mathematical Soc.

ISBN: 0821889117

Category: Mathematics

Page: 130

View: 403

Categories: Mathematics

Complex Analysis

Complex Analysis

This English edition is based on the fourth forthcoming German edition.

Author: Eberhard Freitag

Publisher: Taylor & Francis

ISBN: 3540257241

Category: Mathematics

Page: 547

View: 811

The guiding principle of this presentation of ``Classical Complex Analysis'' is to proceed as quickly as possible to the central results while using a small number of notions and concepts from other fields. Thus the prerequisites for understanding this book are minimal; only elementary facts of calculus and algebra are required. The first four chapters cover the essential core of complex analysis: - differentiation in C (including elementary facts about conformal mappings) - integration in C (including complex line integrals, Cauchy's Integral Theorem, and the Integral Formulas) - sequences and series of analytic functions, (isolated) singularities, Laurent series, calculus of residues - construction of analytic functions: the gamma function, Weierstrass' Factorization Theorem, Mittag-Leffler Partial Fraction Decomposition, and -as a particular highlight- the Riemann Mapping Theorem, which characterizes the simply connected domains in C. Further topics included are: - the theory of elliptic functions based on the model of K. Weierstrass (with an excursions to older approaches due to N.H. Abel and C.G.J. Jacobi using theta series) - an introduction to the theory of elliptic modular functions and elliptic modular forms - the use of complex analysis to obtain number theoretical results - a proof of the Prime Number Theorem with a weak form of the error term. The book is especially suited for graduated students in mathematics and advanced undergraduated students in mathematics and other sciences. Motivating introductions, more than four hundred exercises of all levels of difficulty with hints or solutions, historical annotations, and over 120 figures make the overall presentation very attractive. The structure of the text, including abstracts beginning each chapter and highlighting of the main results, makes this book very appropriate for self-guided study and an indispensable aid in preparing for tests. This English edition is based on the fourth forthcoming German edition.
Categories: Mathematics

Edexcel GCSE Modular Mathematics Examples and Practice

Edexcel GCSE Modular Mathematics Examples and Practice

Example 16 The rule for a sequence is take 2 away from the term number and
multiply by 5 . Find the ninth term . The ninth term is term number 9 . So ninth term
= ( 9 – 2 ) × 5 = 7 x 5 = 35 Exercise 31 Links ( 2W ) 1 2 For each of these rules ...

Author:

Publisher: Heinemann

ISBN: 0435535439

Category: General Certificate of Secondary Education

Page: 103

View: 707

Offering students support for the Edexcel GCSE modular specification, this book provides an easy-to-follow course structure, extra practice questions and revision exercises tailored to each module. Page numbers for the Edexcel GCSE mathematics student books are given for reference.
Categories: General Certificate of Secondary Education

Fundamentals of Discrete Math for Computer Science

Fundamentals of Discrete Math for Computer Science

The book assumes no prior mathematical knowledge, and discusses concepts in programming as needed, allowing it to be used in a mathematics course taken concurrently with a student’s first programming course.

Author: Tom Jenkyns

Publisher: Springer Science & Business Media

ISBN: 9781447140696

Category: Computers

Page: 416

View: 952

This textbook provides an engaging and motivational introduction to traditional topics in discrete mathematics, in a manner specifically designed to appeal to computer science students. The text empowers students to think critically, to be effective problem solvers, to integrate theory and practice, and to recognize the importance of abstraction. Clearly structured and interactive in nature, the book presents detailed walkthroughs of several algorithms, stimulating a conversation with the reader through informal commentary and provocative questions. Features: no university-level background in mathematics required; ideally structured for classroom-use and self-study, with modular chapters following ACM curriculum recommendations; describes mathematical processes in an algorithmic manner; contains examples and exercises throughout the text, and highlights the most important concepts in each section; selects examples that demonstrate a practical use for the concept in question.
Categories: Computers

104 Number Theory Problems

104 Number Theory Problems

This challenging problem book by renowned US Olympiad coaches, mathematics teachers, and researchers develops a multitude of problem-solving skills needed to excel in mathematical contests and in mathematical research in number theory.

Author: Titu Andreescu

Publisher: Springer Science & Business Media

ISBN: 0817645616

Category: Mathematics

Page: 204

View: 672

This challenging problem book by renowned US Olympiad coaches, mathematics teachers, and researchers develops a multitude of problem-solving skills needed to excel in mathematical contests and in mathematical research in number theory. Offering inspiration and intellectual delight, the problems throughout the book encourage students to express their ideas in writing to explain how they conceive problems, what conjectures they make, and what conclusions they reach. Applying specific techniques and strategies, readers will acquire a solid understanding of the fundamental concepts and ideas of number theory.
Categories: Mathematics

Bulletin of the Belgian Mathematical Society Simon Stevin

Bulletin of the Belgian Mathematical Society  Simon Stevin

Estimates for the number of solutions in certain cases are obtained by elementary
methods , i . e . , methods which do not depend on ... Modular Mathematics
Series . ... Il fait suite au livre de Keith Hurst : Numbers , Sequences and Series .

Author:

Publisher:

ISBN: UOM:39015049353736

Category: Electronic journals

Page:

View: 176

Categories: Electronic journals