A Concise Introduction To Pure Mathematics Third Edition PDF Download
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Author | : Martin Liebeck |
Publisher | : CRC Press |
Total Pages | : 266 |
Release | : 2011-07-06 |
Genre | : Mathematics |
ISBN | : 1439894582 |
Download A Concise Introduction to Pure Mathematics, Third Edition Book in PDF, ePub and Kindle
Accessible to all students with a sound background in high school mathematics, A Concise Introduction to Pure Mathematics, Third Edition presents some of the most fundamental and beautiful ideas in pure mathematics. It covers not only standard material but also many interesting topics not usually encountered at this level, such as the theory of solving cubic equations, the use of Euler’s formula to study the five Platonic solids, the use of prime numbers to encode and decode secret information, and the theory of how to compare the sizes of two infinite sets. New to the Third Edition The third edition of this popular text contains three new chapters that provide an introduction to mathematical analysis. These new chapters introduce the ideas of limits of sequences and continuous functions as well as several interesting applications, such as the use of the intermediate value theorem to prove the existence of nth roots. This edition also includes solutions to all of the odd-numbered exercises. By carefully explaining various topics in analysis, geometry, number theory, and combinatorics, this textbook illustrates the power and beauty of basic mathematical concepts. Written in a rigorous yet accessible style, it continues to provide a robust bridge between high school and higher level mathematics, enabling students to study further courses in abstract algebra and analysis.
Author | : Martin Liebeck |
Publisher | : CRC Press |
Total Pages | : 266 |
Release | : 2010-08-16 |
Genre | : Mathematics |
ISBN | : 1439888922 |
Download A Concise Introduction to Pure Mathematics Book in PDF, ePub and Kindle
Accessible to all students with a sound background in high school mathematics, A Concise Introduction to Pure Mathematics, Third Edition presents some of the most fundamental and beautiful ideas in pure mathematics. It covers not only standard material but also many interesting topics not usually encountered at this level, such as the theory of sol
Author | : Martin Liebeck |
Publisher | : CRC Press |
Total Pages | : 320 |
Release | : 2018-09-03 |
Genre | : Mathematics |
ISBN | : 1315363283 |
Download A Concise Introduction to Pure Mathematics Book in PDF, ePub and Kindle
Accessible to all students with a sound background in high school mathematics, A Concise Introduction to Pure Mathematics, Fourth Edition presents some of the most fundamental and beautiful ideas in pure mathematics. It covers not only standard material but also many interesting topics not usually encountered at this level, such as the theory of solving cubic equations; Euler’s formula for the numbers of corners, edges, and faces of a solid object and the five Platonic solids; the use of prime numbers to encode and decode secret information; the theory of how to compare the sizes of two infinite sets; and the rigorous theory of limits and continuous functions. New to the Fourth Edition Two new chapters that serve as an introduction to abstract algebra via the theory of groups, covering abstract reasoning as well as many examples and applications New material on inequalities, counting methods, the inclusion-exclusion principle, and Euler’s phi function Numerous new exercises, with solutions to the odd-numbered ones Through careful explanations and examples, this popular textbook illustrates the power and beauty of basic mathematical concepts in number theory, discrete mathematics, analysis, and abstract algebra. Written in a rigorous yet accessible style, it continues to provide a robust bridge between high school and higher-level mathematics, enabling students to study more advanced courses in abstract algebra and analysis.
Author | : Martin Liebeck |
Publisher | : CRC Press |
Total Pages | : 230 |
Release | : 2005-11-02 |
Genre | : Mathematics |
ISBN | : 9781584885474 |
Download A Concise Introduction to Pure Mathematics, Second Edition Book in PDF, ePub and Kindle
A Concise Introduction to Pure Mathematics, Second Edition provides a robust bridge between high school and university mathematics, expanding upon basic topics in ways that will interest first-year students in mathematics and related fields and stimulate further study. Divided into 22 short chapters, this textbook offers a selection of exercises ranging from routine calculations to quite challenging problems. The author discusses real and complex numbers and explains how these concepts are applied in solving natural problems. He introduces topics in analysis, geometry, number theory, and combinatorics. What's New in the Second Edition: Contains extra material concerning prime numbers, forming the basis for data encryption Explores "Secret Codes" - one of today's most spectacular applications of pure mathematics Discusses Permutations and their importance in many topics in discrete mathematics The textbook allows for the design of courses with various points of emphasis, because it can be divided into four fairly independent sections related to: an introduction to number systems and analysis; theory of the integers; an introduction to discrete mathematics; and functions, relations, and countability.
Author | : M. W. Liebeck |
Publisher | : Chapman & Hall/CRC |
Total Pages | : |
Release | : 2001-04-01 |
Genre | : |
ISBN | : 9781584882794 |
Download A Concise Introduction to Pure Mathematics Book in PDF, ePub and Kindle
Author | : M. W. Liebeck |
Publisher | : Chapman & Hall/CRC |
Total Pages | : 27 |
Release | : 2001-04-01 |
Genre | : |
ISBN | : 9781584882787 |
Download A Concise Introduction to Pure Mathematics Book in PDF, ePub and Kindle
Author | : Martin Liebeck |
Publisher | : CRC Press |
Total Pages | : 266 |
Release | : 2010-08-16 |
Genre | : Mathematics |
ISBN | : 1439835985 |
Download A Concise Introduction to Pure Mathematics, Third Edition Book in PDF, ePub and Kindle
Accessible to all students with a sound background in high school mathematics, A Concise Introduction to Pure Mathematics, Third Edition presents some of the most fundamental and beautiful ideas in pure mathematics. It covers not only standard material but also many interesting topics not usually encountered at this level, such as the theory of solving cubic equations, the use of Euler’s formula to study the five Platonic solids, the use of prime numbers to encode and decode secret information, and the theory of how to compare the sizes of two infinite sets. New to the Third Edition The third edition of this popular text contains three new chapters that provide an introduction to mathematical analysis. These new chapters introduce the ideas of limits of sequences and continuous functions as well as several interesting applications, such as the use of the intermediate value theorem to prove the existence of nth roots. This edition also includes solutions to all of the odd-numbered exercises. By carefully explaining various topics in analysis, geometry, number theory, and combinatorics, this textbook illustrates the power and beauty of basic mathematical concepts. Written in a rigorous yet accessible style, it continues to provide a robust bridge between high school and higher level mathematics, enabling students to study further courses in abstract algebra and analysis.
Author | : Martin Liebeck |
Publisher | : Chapman & Hall/CRC |
Total Pages | : 72 |
Release | : 2005-10-31 |
Genre | : Mathematics |
ISBN | : 9781584885719 |
Download Solutions Manual for A Concise Introduction to Pure Mathematics, Second Edition Book in PDF, ePub and Kindle
Author | : Arthur Engel |
Publisher | : Springer Science & Business Media |
Total Pages | : 404 |
Release | : 2008-01-19 |
Genre | : Mathematics |
ISBN | : 0387226419 |
Download Problem-Solving Strategies Book in PDF, ePub and Kindle
A unique collection of competition problems from over twenty major national and international mathematical competitions for high school students. Written for trainers and participants of contests of all levels up to the highest level, this will appeal to high school teachers conducting a mathematics club who need a range of simple to complex problems and to those instructors wishing to pose a "problem of the week", thus bringing a creative atmosphere into the classrooms. Equally, this is a must-have for individuals interested in solving difficult and challenging problems. Each chapter starts with typical examples illustrating the central concepts and is followed by a number of carefully selected problems and their solutions. Most of the solutions are complete, but some merely point to the road leading to the final solution. In addition to being a valuable resource of mathematical problems and solution strategies, this is the most complete training book on the market.
Author | : Daniel W. Stroock |
Publisher | : Springer |
Total Pages | : 226 |
Release | : 2015-10-31 |
Genre | : Mathematics |
ISBN | : 3319244698 |
Download A Concise Introduction to Analysis Book in PDF, ePub and Kindle
This book provides an introduction to the basic ideas and tools used in mathematical analysis. It is a hybrid cross between an advanced calculus and a more advanced analysis text and covers topics in both real and complex variables. Considerable space is given to developing Riemann integration theory in higher dimensions, including a rigorous treatment of Fubini's theorem, polar coordinates and the divergence theorem. These are used in the final chapter to derive Cauchy's formula, which is then applied to prove some of the basic properties of analytic functions. Among the unusual features of this book is the treatment of analytic function theory as an application of ideas and results in real analysis. For instance, Cauchy's integral formula for analytic functions is derived as an application of the divergence theorem. The last section of each chapter is devoted to exercises that should be viewed as an integral part of the text. A Concise Introduction to Analysis should appeal to upper level undergraduate mathematics students, graduate students in fields where mathematics is used, as well as to those wishing to supplement their mathematical education on their own. Wherever possible, an attempt has been made to give interesting examples that demonstrate how the ideas are used and why it is important to have a rigorous grasp of them.