In today’s world, analytical thinking is a critical part of any solid education. An important segment of this kind of reasoning—one that cuts across many disciplines—is discrete mathematics. Discrete math concerns counting, probability, (sophisticated forms of) addition, and limit processes over discrete sets. Combinatorics, graph theory, the idea of function, recurrence relations, permutations, and set theory are all part of discrete math. Sequences and series are among the most important applications of these ideas.
Discrete mathematics is an essential part of the foundations of (theoretical) computer science, statistics, probability theory, and algebra. The ideas come up repeatedly in different parts of calculus. Many would argue that discrete math is the most important component of all modern mathematical thought.
Most basic math courses (at the freshman and sophomore level) are oriented toward problem-solving. Students can rely heavily on the provided examples as a crutch to learn the basic techniques and pass the exams. Discrete mathematics is, by contrast, rather theoretical. It involves proofs and ideas and abstraction. Freshman and sophomores in college these days have little experience with theory or with abstract thinking. They simply are not intellectually prepared for such material.
Web Engineering: The Discipline of Systematic Development of Web Applications The World Wide Web has a massive and permanent influence on our lives. Economy, industry, education, healthcare, public administration, entertainment – there is hardly any part of our daily lives which has not been pervaded by the Internet.
Accordingly, modern Web applications are fully-fledged, complex software systems,...
Logics in Artificial Intelligence: 13th European Conference, JELIA 2012, Toulouse, France, September 26-28, 2012, Proceedings (Lecture Notes in Computer Science)
This book constitutes the refereed proceedings of the 13th European Conference on Logics in Artificial Intelligence, held in Toulouse, France, in September 2012. The book includes 3 invited talks, 36 regular papers, and 5 system descriptions, selected from 107 submissions. The papers cover various aspects of theory and methods of logic for...
Microsoft Voice and Unified Communications
The telecommunications industry is changing in ways not thought possible. We, as a human race, are seeing a complete transformation in how human communication can be used throughout applications and devices, truly connecting people and processes, regardless of geography, at a speed of innovation that is incomprehensible. The future of these...
The McGraw-Hill 36-Hour Course: Project Management, Second Edition
Schedule and coordinate projects seamlessly, start to finish!
In today's ultracompetitive world of business, those in charge want results on time and on budget--and they're turning to project managers to deliver. Skilled project managers are in high demand, and the profession is growing at an unprecedented rate.
The Art and Science of Seismic Interpretation (SpringerBriefs in Earth Sciences)
Seismic data is one of the fundamental tools used to interpret subsurface geology
with application to understanding of earth processes, tectonic evolution, and energy
exploration in particular. This book is written for technical specialists who are new
to seismic geophysics. It introduces the seismic data set including how the data...