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230808  eng 
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a 9783031213212

100 
1 

a Yadav, Santosh Kumar

245 
0 
0 
a Discrete Mathematics with Graph Theory
h Elektronische Ressource
c by Santosh Kumar Yadav

250 


a 1st ed. 2023

260 


a Cham
b Springer International Publishing
c 2023, 2023

300 


a XX, 648 p. 265 illus
b online resource

505 
0 

a Preliminaries  The languages of Sets  Basic Combinatorics  Mathematical Logic  Relations  Functions  Lattice Theory  Boolean Algebra and Applications  Fuzzy Algebra  Formal Languages and Automata Theory  The Basics of Graph Theory  Trees  Planar Graphs  Directed Graphs  Matching and Covering  Coloring of Graphs.

653 


a Applications of Discrete Mathematics

653 


a Graph Theory

653 


a Discrete Mathematics

653 


a Discrete mathematics

653 


a Graph theory

041 
0 
7 
a eng
2 ISO 6392

989 


b Springer
a Springer eBooks 2005

028 
5 
0 
a 10.1007/9783031213212

856 
4 
0 
u https://doi.org/10.1007/9783031213212?nosfx=y
x Verlag
3 Volltext

082 
0 

a 511.1

520 


a This book is designed to meet the requirement of undergraduate and postgraduate students pursuing computer science, information technology, mathematical science, and physical science course. No formal prerequisites are needed to understand the text matter except a very reasonable background in college algebra. The text contains indepth coverage of all major topics proposed by professional institutions and universities for a discrete mathematics course. It emphasizes on problemsolving techniques, pattern recognition, conjecturing, induction, applications of varying nature, proof technique, algorithmic development, algorithm correctness, and numeric computations. A sufficient amount of theory is included for those who enjoy the beauty in development of the subject and a wealth of applications as well as for those who enjoy the power of problemsolving techniques. Biographical sketches of nearly 25 mathematicians and computer scientists who have played a significant role in the development of the field are threaded into the text to provide a human dimension and attach a human face to major discoveries. Each section of the book contains a generous selection of carefully tailored examples to classify and illuminate various concepts and facts. Theorems are backbone of mathematics. Consequently, this book contains the various proof techniques, explained and illustrated in details. Most of the concepts, definitions, and theorems in the book are illustrated with appropriate examples. Proofs shed additional light on the topic and enable students to sharpen thin problemsolving skills. Each chapter ends with a summary of important vocabulary, formulae, properties developed in the chapter, and list of selected references for further exploration and enrichment
