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This book presents chapters exploring the most recent developments
in the role of technology in proving. The full range of topics
related to this theme are explored, including computer proving,
digital collaboration among mathematicians, mathematics teaching in
schools and universities, and the use of the internet as a site of
proof learning. Proving is sometimes thought to be the aspect of
mathematical activity most resistant to the influence of
technological change. While computational methods are well known to
have a huge importance in applied mathematics, there is a
perception that mathematicians seeking to derive new mathematical
results are unaffected by the digital era. The reality is quite
different. Digital technologies have transformed how mathematicians
work together, how proof is taught in schools and universities, and
even the nature of proof itself. Checking billions of cases in
extremely large but finite sets, impossible a few decades ago, has
now become a standard method of proof. Distributed proving, by
teams of mathematicians working independently on sections of a
problem, has become very much easier as digital communication
facilitates the sharing and comparison of results. Proof assistants
and dynamic proof environments have influenced the verification or
refutation of conjectures, and ultimately how and why proof is
taught in schools. And techniques from computer science for
checking the validity of programs are being used to verify
mathematical proofs. Chapters in this book include not only
research reports and case studies, but also theoretical essays,
reviews of the state of the art in selected areas, and historical
studies. The authors are experts in the field.
This book presents chapters exploring the most recent developments
in the role of technology in proving. The full range of topics
related to this theme are explored, including computer proving,
digital collaboration among mathematicians, mathematics teaching in
schools and universities, and the use of the internet as a site of
proof learning. Proving is sometimes thought to be the aspect of
mathematical activity most resistant to the influence of
technological change. While computational methods are well known to
have a huge importance in applied mathematics, there is a
perception that mathematicians seeking to derive new mathematical
results are unaffected by the digital era. The reality is quite
different. Digital technologies have transformed how mathematicians
work together, how proof is taught in schools and universities, and
even the nature of proof itself. Checking billions of cases in
extremely large but finite sets, impossible a few decades ago, has
now become a standard method of proof. Distributed proving, by
teams of mathematicians working independently on sections of a
problem, has become very much easier as digital communication
facilitates the sharing and comparison of results. Proof assistants
and dynamic proof environments have influenced the verification or
refutation of conjectures, and ultimately how and why proof is
taught in schools. And techniques from computer science for
checking the validity of programs are being used to verify
mathematical proofs. Chapters in this book include not only
research reports and case studies, but also theoretical essays,
reviews of the state of the art in selected areas, and historical
studies. The authors are experts in the field.
Get a thorough review of vital research issues! Fundamentals of
Business Marketing Research examines recent industrial/business
research, evaluates its current effectiveness, and offers
suggestions for future use. This unique book includes and is based
on Business Marketing: A Twenty Year Review, a thorough study of
industrial/business research from 1978-1997 with critical
commentary from a distinguished panel of business academics and the
response of the study's authors. The combination of critiques,
insights, and viewpoints will challenge you to think beyond the
traditional role of B2B marketing into a future that's anything but
business as usual. Through an unusual format that gives you access
to critical academic analysis, Fundamentals of Business Marketing
Research presents a comprehensive review of vital research areas,
including marketing to businesses/institutions/governments;
buyer-seller relationships; computer use for business marketing;
industrial segmentation; channel management and development;
physical distribution; advertising; and public relations. The
book's give-and-take is equally focused on areas that have
traditionally received a larger share of the research effort
(organizational buyer behavior, business marketing strategy and
planning, industrial selling and sales management) and those that
have taken a back seat in terms of research attention (computers
and ethical business marketing). The original study, its
criticisms, and the authors' subsequent assessment spotlight major
themes, individual contributions, and future trends in major topic
areas, including: business marketing strategy organizational buying
behavior and purchasing management business marketing research
methodology products/services pricing management issues
distribution/logistics and supply chain management promotion
Fundamentals of Business Marketing Research is equally effective as
a practical guide for professionals and researchers, and as an
academic text for doctoral studies.
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