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Discrete Mathematics by Norman L. Biggs
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**About this book :- **
**Discrete Mathematics **
** Norman L. Biggs**.

Biggs's Discrete Mathematics has been a best-selling textbook since the first and revised editions were published in 1986 and 1990, respectively. This second edition has been developed in response to undergraduate course changes and changes in students' needs. New to this edition are chapters on statements and proof, logical framework, and natural numbers and the integers, in addition to updated chapters from the previous edition. The new chapters are presented at a level suitable for mathematics and computer science students seeking a first approach to this broad and highly relevant topic. Each chapter contains newly developed tailored exercises, and miscellaneous exercises are presented throughout, providing the student with over 1000 individual tailored exercises. This edition is accompanied by a website www.oup.com/mathematics/discretemath containing hints and solutions to all exercises presented in the text, providing an invaluable resource for students and lecturers alike. The book is carefully structured, coherent and comprehensive, and is the ideal text for students seeking a clear introduction to discrete mathematics, graph theory, combinatorics, number theory, coding theory and abstract algebra.

**Book Detail :- **
** Title: ** Discrete Mathematics
** Edition: **
** Author(s): ** Norman L. Biggs
** Publisher: ** Springer
** Series: ** Springer undergraduate mathematics series
** Year: ** 2008
** Pages: ** 279
** Type: ** PDF
** Language: ** English
** ISBN: ** 9781848002722,9781848002739,1848002726,1848002734
** Country: ** UK
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**About Author :- **

The author ** Norman L. Biggs ** was a lecturer at University of Southampton, lecturer then reader at Royal Holloway, University of London, and Professor of Mathematics at the London School of Economics. He has been on the editorial board of a number of journals, including the Journal of Algebraic Combinatorics. He has been a member of the Council of the London Mathematical Society.

He has written 12 books and over 100 papers on mathematical topics, many of them in algebraic combinatorics and its applications. He became Emeritus Professor in 2006 and continue to teach History of Mathematics in Finance and Economics for undergraduates. He is also Vice-President of the British Society for the History of Mathematics.

**All Famous Books of this Author :- **

Here is list all books, text books, editions, versions or solution manuals avaliable of this author, We recomended you to download all.

** • Download PDF Algebraic Graph Theory (2E) by Norman L. Biggs **

** • Download PDF Graph Theory by Norman L. Biggs, E. Keith Lloyd, Robin J. Wilson **

** • Download PDF Interaction Models: Royal Holloway College by Norman L. Biggs **

** • Download PDF Permutation Groups & Combinatorial Structures by Norman L. Biggs **

** • Download PDF Quite Right: The Story of Mathematics, Measurement & Money by Norman L. Biggs **

** • Download PDF Codes: an Introduction to Information Communication & Cryptography by Norman L. Biggs **

** • Download PDF Mathematics for Economics & Finance: Methods & Modelling by Martin Anthony, Norman L Biggs **

** • Download PDF Discrete Mathematics by Norman L. Biggs **

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**Book Contents :- **
**Discrete Mathematics **
** Norman L. Biggs**
cover the following topics.

Part-1 The Language of Mathematics

1. Statements and proofs

2. Set notation

3. The logical framework

4. Natural numbers

5. Functions

6. How to count

7. Integers

8. Divisibility and prime numbers

9. Fractions and real numbers

Part-2 Techniques

10. Principles of counting

11. Subsets and designs

12. Partition, classification and distribution

13. Modular arithmetic

Part-3 Algorithms and Graphs

14. Algorithms and their efficiency

15. Graphs

16. Trees, sorting and searching

17. Bipartite graphs and matching problems

18. Digraphs, networks and flows

19. Recursive techniques

Part-4 Algebraic Methods

20. Groups

21. Groups of permutations

22. Rings, fields and polynomials

23. Finite fields and some applications

24. Error-correcting codes

25. Generating functions

26. Partitions of a positive integer

27. Symmetry and counting

**Note:-**

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- Boolean Algebra
- Graph Theory
- Linear Algebra
- Number Theory
- Set Theory
- Mathematical Induction
- Discrete Geometry
- Discrete Probability

- Abstract Algebra
- Calculus
- Differential Equations
- Engineering Mathematics
- Linear Algebra
- Math Magic
- Real Analysis

- Basic Algebra
- Basic Mathematics
- Math History
- Math Formulas
- Mathematical Methods
- Number Theory
- Bio Mathematics
- Business Mathematics
- Probability & Statistics

**WORKSHEETS (Solved):- **

**SHORTCUT TRICKS (Division):- **

- Divisible by 2 Shortcut trick
- Divisible by 3 Shortcut trick
- Divisible by 4 Shortcut trick
- Divisible by 5 Shortcut trick
- Divisible by 6 Shortcut trick
- Divisible by 7 Shortcut trick
- Divisible by 8 Shortcut trick
- Divisible by 9 Shortcut trick
- Divisible by 10 Shortcut trick

**SHORTCUT TRICKS (Prime Number):- **

- Find the prime number from 1 to 100 just in 5 second (MATH PRIME NUMBER SHORTCUT TRICK from 1 to 100 number) ?
- Find a large number "A" is prime number or not (MATH PRIME NUMBER SHORTCUT TRICK By using Square Root method) ?
- Find the composite number from 1 to 100 just in 5 second (MATH COMPOSITE NUMBER SHORTCUT TRICK from 1 to 100 number) ?