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Mathematics for Computer Science

Mathematics for Computer Science PDF Author: Eric Lehman
Publisher:
ISBN: 9781680921229
Category :
Languages : en
Pages : 1010

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Book Description
This book covers elementary discrete mathematics for computer science and engineering. It emphasizes mathematical definitions and proofs as well as applicable methods. Topics include formal logic notation, proof methods; induction, well-ordering; sets, relations; elementary graph theory; integer congruences; asymptotic notation and growth of functions; permutations and combinations, counting principles; discrete probability. Further selected topics may also be covered, such as recursive definition and structural induction; state machines and invariants; recurrences; generating functions. The color images and text in this book have been converted to grayscale.

Mathematics for Computer Science

Mathematics for Computer Science PDF Author: Eric Lehman
Publisher:
ISBN: 9781680921229
Category :
Languages : en
Pages : 1010

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Book Description
This book covers elementary discrete mathematics for computer science and engineering. It emphasizes mathematical definitions and proofs as well as applicable methods. Topics include formal logic notation, proof methods; induction, well-ordering; sets, relations; elementary graph theory; integer congruences; asymptotic notation and growth of functions; permutations and combinations, counting principles; discrete probability. Further selected topics may also be covered, such as recursive definition and structural induction; state machines and invariants; recurrences; generating functions. The color images and text in this book have been converted to grayscale.

Foundation Mathematics for Computer Science

Foundation Mathematics for Computer Science PDF Author: John Vince
Publisher: Springer
ISBN: 9783319214368
Category : Computers
Languages : en
Pages : 334

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Book Description
John Vince describes a range of mathematical topics to provide a foundation for an undergraduate course in computer science, starting with a review of number systems and their relevance to digital computers, and finishing with differential and integral calculus. Readers will find that the author's visual approach will greatly improve their understanding as to why certain mathematical structures exist, together with how they are used in real-world applications. Each chapter includes full-colour illustrations to clarify the mathematical descriptions, and in some cases, equations are also coloured to reveal vital algebraic patterns. The numerous worked examples will consolidate comprehension of abstract mathematical concepts. Foundation Mathematics for Computer Science covers number systems, algebra, logic, trigonometry, coordinate systems, determinants, vectors, matrices, geometric matrix transforms, differential and integral calculus, and reveals the names of the mathematicians behind such inventions. During this journey, John Vince touches upon more esoteric topics such as quaternions, octonions, Grassmann algebra, Barycentric coordinates, transfinite sets and prime numbers. Whether you intend to pursue a career in programming, scientific visualisation, systems design, or real-time computing, you should find the author’s literary style refreshingly lucid and engaging, and prepare you for more advanced texts.

Discrete Mathematics for Computer Science

Discrete Mathematics for Computer Science PDF Author: Jon Pierre Fortney
Publisher: CRC Press
ISBN: 9780367549893
Category : Computer science
Languages : en
Pages : 260

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Book Description
"Discrete Mathematics for Computer Science: An Example-Based Introduction is intended for a first or second-year discrete mathematics course for computer science majors. It covers many important mathematical topics essential for future computer science majors, such as algorithms, number representations, logic, set theory, Boolean algebra, functions, combinatorics, algorithmic complexity, graphs, and trees. Features designed to be especially useful for courses at the community college level Ideal as a first or second-year textbook for computer science majors, or as a general introduction to discrete mathematics Written to be accessible to those with a limited mathematics background and to aid with the transition to abstract thinking Filled with over 200 worked examples, boxed for easy reference, and over 200 practice problems with answers. Contains approximately 40 simple algorithms to aid students in becoming proficient with algorithm control structures and pseudocode. An appendix on basic circuit design provides a real-world motivational example for computer science majors by drawing on multiple topics covered in the book to design a circuit that adds two eight-digit binary numbers"--

Essential Discrete Mathematics for Computer Science

Essential Discrete Mathematics for Computer Science PDF Author: Harry Lewis
Publisher: Princeton University Press
ISBN: 0691179298
Category : Computers
Languages : en
Pages : 408

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Book Description
Discrete mathematics is the basis of much of computer science, from algorithms and automata theory to combinatorics and graph theory. Essential Discrete Mathematics for Computer Science aims to teach mathematical reasoning as well as concepts and skills by stressing the art of proof. It is fully illustrated in color, and each chapter includes a concise summary as well as a set of exercises.

Where Mathematics, Computer Science, Linguistics and Biology Meet

Where Mathematics, Computer Science, Linguistics and Biology Meet PDF Author: Carlos Martín-Vide
Publisher: Springer Science & Business Media
ISBN: 9401596344
Category : Mathematics
Languages : en
Pages : 446

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Book Description
In the last years, it was observed an increasing interest of computer scientists in the structure of biological molecules and the way how they can be manipulated in vitro in order to define theoretical models of computation based on genetic engineering tools. Along the same lines, a parallel interest is growing regarding the process of evolution of living organisms. Much of the current data for genomes are expressed in the form of maps which are now becoming available and permit the study of the evolution of organisms at the scale of genome for the first time. On the other hand, there is an active trend nowadays throughout the field of computational biology toward abstracted, hierarchical views of biological sequences, which is very much in the spirit of computational linguistics. In the last decades, results and methods in the field of formal language theory that might be applied to the description of biological sequences were pointed out.

Boolean Models and Methods in Mathematics, Computer Science, and Engineering

Boolean Models and Methods in Mathematics, Computer Science, and Engineering PDF Author: Yves Crama
Publisher: Cambridge University Press
ISBN: 0521847524
Category : Computers
Languages : en
Pages : 781

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Book Description
A collection of papers written by prominent experts that examine a variety of advanced topics related to Boolean functions and expressions.

MATHEMATICAL FOUNDATIONS OF COMPUTER SCIENCE, Second Edition

MATHEMATICAL FOUNDATIONS OF COMPUTER SCIENCE, Second Edition PDF Author: BATHUL, SHAHNAZ
Publisher: PHI Learning Pvt. Ltd.
ISBN: 8120351290
Category : Science
Languages : en
Pages : 480

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Book Description
This book, in its Second Edition, provides the basic concepts and applications of discrete mathematics and graph theory. The book is aimed at undergraduate students of computer science and engineering, and information technology. It is also suitable for undergraduate and postgraduate students of computer science, mathematics and computer applications. The book exposes the students to fundamental knowledge in: - Mathematical logic, tautology and normal forms - Elementary set theory, functions and their relations - Algebraic structure, binary operation, group theory and homomorphism - Theory of permutations and combinations, binomial and multinomial theorems - Recurrence relations and methods of solving them - Graph theory, spanning tree, Eulerian and Hamiltonian circuits and isomorphism Key Features Includes a large number of worked-out problems for sound understanding of the concepts. Offers chapter-end exercises to test students’ comprehension of theory. Gives a quiz section at the end of each chapter to help students prepare for the competitive examinations. Incorporates short questions asked in universities’ examinations.

Discrete Mathematics For Computer Scientist

Discrete Mathematics For Computer Scientist PDF Author: Ali Selamat
Publisher: Penerbit UTM Press
ISBN: 9835208468
Category : Computer science
Languages : en
Pages : 7

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Book Description
This book serves as an introduction to computer sciences students in the undergraduate levels. It will be used as the foundation to understand the discrete mathematic in developing the logic of computer programs. Since there are also similar undergraduate computer science programmes in other local and overseas institutions, this book is expected to find wider local and international readership. Topics covered in this book include set theory and relations, functions sequence and string, propositional logic, predicate logic, matrices, graph theory and trees. As the book serves as an introductory level to computer science students, it is expected that once the students are already familiar with the presented contents, it will enable them to understand the advanced topics in computer science such as advanced theory of computer science and computational complexity theories. The chapters in this book have been organized for the students to learn and understand the main concepts of discrete mathematics for developing computer applications during the period of their studies. In information technology (IT) and computer science fields, most of information is represented in digital electronics based on the basic knowledge of discrete mathematics. Therefore, discrete mathematics is one of the relevant courses to support students for better learning and understanding the nature of computer science and IT. It is expected that by using the materials presented in this book students should be able to write statements using mathematical language, develop mathematical arguments using logic, apply the concept of integers and its role in modeling and solving problems in IT, and apply the concept of graph and tree for modeling and solving problems related to real situations.

Research and Development in University Mathematics Education

Research and Development in University Mathematics Education PDF Author: Viviane Durand-Guerrier
Publisher: Routledge
ISBN: 1000369285
Category : Education
Languages : en
Pages : 244

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Book Description
In the last thirty years or so, the need to address the challenges of teaching and learning mathematics at university level has become increasingly appreciated by university mathematics teachers, and beyond, by educational institutions around the world. Indeed, mathematics is both a condition and an obstacle to success for students in many educational programmes vital to the 21st century knowledge society, for example in pure and applied mathematics, engineering, natural sciences, technology, economics, finance, management and so on. This breadth of impact of mathematics implies the urgency of developing research in university mathematics education, and of sharing results of this research widely. This book provides a bespoke opportunity for an international audience of researchers in didactics of mathematics, mathematicians and any teacher or researcher with an interest in this area to be informed about state-of-the-art developments and to heed future research agendas. This book emerged from the activities of the research project INDRUM (acronym for International Network for Didactic Research in University Mathematics), which aims to contribute to the development of research in didactics of mathematics at all levels of tertiary education, with a particular concern for the development of early-career researchers in the field and for dialogue with university mathematicians. The aim of the book is to provide a deep synthesis of the research field as it appears through two INDRUM conferences organised in 2016 and 2018. It is an original contribution which highlights key research perspectives, addresses seminal theoretical and methodological issues and reports substantial results concerning the teaching and learning of mathematics at university level, including the teaching and learning of specific topics in advanced mathematics across a wide range of university programmes.

Directory of Research in Mathematical and Computer Sciences at Primarily Undergraduate Institutions

Directory of Research in Mathematical and Computer Sciences at Primarily Undergraduate Institutions PDF Author: W. Dwayne Collins
Publisher:
ISBN:
Category : Education
Languages : en
Pages : 207

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Book Description
Creative Inquiry in the Arts & Humanities: Models of Undergraduate Research aims to assist faculty and administrators of any academic discipline who are creating undergraduate research opportunities that move beyond the natural and social sciences, as well as those working to sustain well-established, multidisciplinary programs. It offers examples of successful programs, assignments, curricula, journals, and conferences that support the research, scholarship, and creative activity of students in arts and humanities disciplines.