Digital And The Real World The Computational Foundations Of Mathematics Science Technology And Philosophy

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Digital And The Real World, The: Computational Foundations Of Mathematics, Science, Technology, And Philosophy

Author : Mainzer Klaus
Publisher : World Scientific
ISBN 13 : 9813225505
Total Pages : 472 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis Digital And The Real World, The: Computational Foundations Of Mathematics, Science, Technology, And Philosophy by : Mainzer Klaus

Download or read book Digital And The Real World, The: Computational Foundations Of Mathematics, Science, Technology, And Philosophy written by Mainzer Klaus and published by World Scientific. This book was released on 2017-11-17 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the 21st century, digitalization is a global challenge of mankind. Even for the public, it is obvious that our world is increasingly dominated by powerful algorithms and big data. But, how computable is our world? Some people believe that successful problem solving in science, technology, and economies only depends on fast algorithms and data mining. Chances and risks are often not understood, because the foundations of algorithms and information systems are not studied rigorously. Actually, they are deeply rooted in logics, mathematics, computer science and philosophy. Therefore, this book studies the foundations of mathematics, computer science, and philosophy, in order to guarantee security and reliability of the knowledge by constructive proofs, proof mining and program extraction. We start with the basics of computability theory, proof theory, and information theory. In a second step, we introduce new concepts of information and computing systems, in order to overcome the gap between the digital world of logical programming and the analog world of real computing in mathematics and science. The book also considers consequences for digital and analog physics, computational neuroscience, financial mathematics, and the Internet of Things (IoT). Contents: Introduction Basics of Computability Hierarchies of Computability Constructive Proof Theory Computational Mathematics and Digital Information Systems Intuitionistic Mathematics and Human Creativity Proof Mining bridging Logic, Mathematics, and Computer Science Reverse Mathematics Bridging Logic, Mathematics, and Computer Science From Intuitionistic to Homotopy Type Theory — Bridging Logic, Mathematics, and Computer Science Real Computability and Real Analysis Complexity Theory of Real Computing Real Computing and Neural Networks Complexity of Algorithmic Information Complexity of Information Dynamics Digital and Real Physics Digital and Real Computing in the Social World Philosophical Outlook Readership: Undergraduate and graduate students, scientists and readers who are interested in foundational, interdisciplinary, and philosophical questions of mathematics, computer science, and science in general. Keywords: Computability;Complexity;Constructive Mathematics;Proof Mining;Real Computing;Analog Networks;Information System;Digital PhysicsReview: Key Features: Compact introduction into the foundations of modern mathematics and computer science Bridging the gap between digital, real and analog computing by new concepts of information systems Consequences in natural and social sciences with respect to scientific computing

The Digital and the Real World

Author : Klaus Mainzer
Publisher : World Scientific Publishing Company
ISBN 13 : 9789813225480
Total Pages : 472 pages
Book Rating : 4.2/5 (254 download)

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Book Synopsis The Digital and the Real World by : Klaus Mainzer

Download or read book The Digital and the Real World written by Klaus Mainzer and published by World Scientific Publishing Company. This book was released on 2017 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the 21st century, digitalization is a global challenge of mankind. Even for the public, it is obvious that our world is increasingly dominated by powerful algorithms and big data. But, how computable is our world? Some people believe that successful problem solving in science, technology, and economies only depends on fast algorithms and data mining. Chances and risks are often not understood, because the foundations of algorithms and information systems are not studied rigorously. Actually, they are deeply rooted in logics, mathematics, computer science and philosophy. Therefore, this book studies the foundations of mathematics, computer science, and philosophy, in order to guarantee security and reliability of the knowledge by constructive proofs, proof mining and program extraction. We start with the basics of computability theory, proof theory, and information theory. In a second step, we introduce new concepts of information and computing systems, in order to overcome the gap between the digital world of logical programming and the analog world of real computing in mathematics and science. The book also considers consequences for digital and analog physics, computational neuroscience, financial mathematics, and the Internet of Things (IoT).

Contemporary Natural Philosophy and Philosophies - Part 1

Author : Gordana Dodig-Crnkovic
Publisher : MDPI
ISBN 13 : 3038978221
Total Pages : 350 pages
Book Rating : 4.0/5 (389 download)

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Book Synopsis Contemporary Natural Philosophy and Philosophies - Part 1 by : Gordana Dodig-Crnkovic

Download or read book Contemporary Natural Philosophy and Philosophies - Part 1 written by Gordana Dodig-Crnkovic and published by MDPI. This book was released on 2019-06-11 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern information communication technology eradicates barriers of geographic distances, making the world globally interdependent, but this spatial globalization has not eliminated cultural fragmentation. The Two Cultures of C.P. Snow (that of science–technology and that of humanities) are drifting apart even faster than before, and they themselves crumble into increasingly specialized domains. Disintegrated knowledge has become subservient to the competition in technological and economic race leading in the direction chosen not by the reason, intellect, and shared value-based judgement, but rather by the whims of autocratic leaders or fashion controlled by marketers for the purposes of political or economic dominance. If we want to restore the authority of our best available knowledge and democratic values in guiding humanity, first we have to reintegrate scattered domains of human knowledge and values and offer an evolving and diverse vision of common reality unified by sound methodology. This collection of articles responds to the call from the journal Philosophies to build a new, networked world of knowledge with domain specialists from different disciplines interacting and connecting with other knowledge-and-values-producing and knowledge-and-values-consuming communities in an inclusive, extended, contemporary natural–philosophic manner. In this process of synthesis, scientific and philosophical investigations enrich each other—with sciences informing philosophies about the best current knowledge of the world, both natural and human-made—while philosophies scrutinize the ontological, epistemological, and methodological foundations of sciences, providing scientists with questions and conceptual analyses. This is all directed at extending and deepening our existing comprehension of the world, including ourselves, both as humans and as societies, and humankind.

Proof And Computation: Digitization In Mathematics, Computer Science And Philosophy

Author : Mainzer Klaus
Publisher : World Scientific
ISBN 13 : 9813270950
Total Pages : 300 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis Proof And Computation: Digitization In Mathematics, Computer Science And Philosophy by : Mainzer Klaus

Download or read book Proof And Computation: Digitization In Mathematics, Computer Science And Philosophy written by Mainzer Klaus and published by World Scientific. This book was released on 2018-05-30 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is for graduate students and researchers, introducing modern foundational research in mathematics, computer science, and philosophy from an interdisciplinary point of view. Its scope includes Predicative Foundations, Constructive Mathematics and Type Theory, Computation in Higher Types, Extraction of Programs from Proofs, and Algorithmic Aspects in Financial Mathematics. By filling the gap between (under-)graduate level textbooks and advanced research papers, the book gives a scholarly account of recent developments and emerging branches of the aforementioned fields. Contents: Proof and Computation (K Mainzer) Constructive Convex Programming (J Berger and G Svindland) Exploring Predicativity (L Crosilla) Constructive Functional Analysis: An Introduction (H Ishihara) Program Extraction (K Miyamoto) The Data Structures of the Lambda Terms (M Sato) Provable (and Unprovable) Computability (S Wainer) Introduction to Minlog (F Wiesnet) Readership: Graduate students, researchers, and professionals in Mathematics and Computer Science. Keywords: Proof Theory;Computability Theory;Program Extraction;Constructive Analysis;PredicativityReview: Key Features: This book gathers recent contributions of distinguished experts It makes emerging fields accessible to a wider audience, appealing to a broad readership with diverse backgrounds It fills a gap between (under-)graduate level textbooks and state-of-the-art research papers

Mathesis Universalis, Computability and Proof

Author : Stefania Centrone
Publisher : Springer Nature
ISBN 13 : 3030204472
Total Pages : 375 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Mathesis Universalis, Computability and Proof by : Stefania Centrone

Download or read book Mathesis Universalis, Computability and Proof written by Stefania Centrone and published by Springer Nature. This book was released on 2019-10-25 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: In a fragment entitled Elementa Nova Matheseos Universalis (1683?) Leibniz writes “the mathesis [...] shall deliver the method through which things that are conceivable can be exactly determined”; in another fragment he takes the mathesis to be “the science of all things that are conceivable.” Leibniz considers all mathematical disciplines as branches of the mathesis and conceives the mathesis as a general science of forms applicable not only to magnitudes but to every object that exists in our imagination, i.e. that is possible at least in principle. As a general science of forms the mathesis investigates possible relations between “arbitrary objects” (“objets quelconques”). It is an abstract theory of combinations and relations among objects whatsoever. In 1810 the mathematician and philosopher Bernard Bolzano published a booklet entitled Contributions to a Better-Grounded Presentation of Mathematics. There is, according to him, a certain objective connection among the truths that are germane to a certain homogeneous field of objects: some truths are the “reasons” (“Gründe”) of others, and the latter are “consequences” (“Folgen”) of the former. The reason-consequence relation seems to be the counterpart of causality at the level of a relation between true propositions. Arigorous proof is characterized in this context as a proof that shows the reason of the proposition that is to be proven. Requirements imposed on rigorous proofs seem to anticipate normalization results in current proof theory. The contributors of Mathesis Universalis, Computability and Proof, leading experts in the fields of computer science, mathematics, logic and philosophy, show the evolution of these and related ideas exploring topics in proof theory, computability theory, intuitionistic logic, constructivism and reverse mathematics, delving deeply into a contextual examination of the relationship between mathematical rigor and demands for simplification.

Proof And Computation Ii: From Proof Theory And Univalent Mathematics To Program Extraction And Verification

Author : Klaus Mainzer
Publisher : World Scientific
ISBN 13 : 9811236496
Total Pages : 425 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Proof And Computation Ii: From Proof Theory And Univalent Mathematics To Program Extraction And Verification by : Klaus Mainzer

Download or read book Proof And Computation Ii: From Proof Theory And Univalent Mathematics To Program Extraction And Verification written by Klaus Mainzer and published by World Scientific. This book was released on 2021-07-27 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is for graduate students and researchers, introducing modern foundational research in mathematics, computer science, and philosophy from an interdisciplinary point of view. Its scope includes proof theory, constructive mathematics and type theory, univalent mathematics and point-free approaches to topology, extraction of certified programs from proofs, automated proofs in the automotive industry, as well as the philosophical and historical background of proof theory. By filling the gap between (under-)graduate level textbooks and advanced research papers, the book gives a scholarly account of recent developments and emerging branches of the aforementioned fields.

5G, Artificial Intelligence, and Next Generation Internet of Things: Digital Innovation for Green and Sustainable Economies

Author : Ordóñez de Pablos, Patricia
Publisher : IGI Global
ISBN 13 : 1668486369
Total Pages : 275 pages
Book Rating : 4.6/5 (684 download)

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Book Synopsis 5G, Artificial Intelligence, and Next Generation Internet of Things: Digital Innovation for Green and Sustainable Economies by : Ordóñez de Pablos, Patricia

Download or read book 5G, Artificial Intelligence, and Next Generation Internet of Things: Digital Innovation for Green and Sustainable Economies written by Ordóñez de Pablos, Patricia and published by IGI Global. This book was released on 2023-08-04 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: Key and enabling digital tools and solutions can boost the digital transformation of economies and societies and support achieving the Sustainable Development Goals (SDGs) by 2030. The outcomes of digital innovation must be in line with responsible research and innovation. How can advanced information technologies, including artificial intelligence, blockchain, edge computing, the next generation of the internet of things (NGIoT), IoT, machine learning, and robotics, create digital tools and solutions to build more resilient, climate-neutral, and green economies and societies? 5G, Artificial Intelligence, and Next Generation Internet of Things: Digital Innovation for Green and Sustainable Economies offers innovative conceptual frameworks and theories, case studies, and empirical studies to understand digital innovation and how digital and industrial technologies can accelerate the digital and green transition with multidisciplinary and trans-disciplinary approaches. The book studies how digital tools and solutions can impact the achievement of the Sustainable Development Goals (SDGs) worldwide, focusing on the Asian region. Featuring research on topics such as 5G, artificial intelligence, blockchain, circular economy, green economy, climate-neutral economy, human-centered approach, robotics, geographical focus, and methodologies, this book is ideally designed for academics, researchers, industry players, policymakers, students, academics, experts on IT, CEOs, policymakers, and other relevant stakeholders worldwide.

Marketing in Customer Technology Environments

Author : Devanathan Sudharshan
Publisher : Emerald Group Publishing
ISBN 13 : 1839096004
Total Pages : 272 pages
Book Rating : 4.8/5 (39 download)

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Book Synopsis Marketing in Customer Technology Environments by : Devanathan Sudharshan

Download or read book Marketing in Customer Technology Environments written by Devanathan Sudharshan and published by Emerald Group Publishing. This book was released on 2020-04-16 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: With the rise of virtual reality, augmented reality, the internet of things and more, customers are more engaged, more involved, and easier to reach than ever;while being inundated with increasing amounts of marketing material. This straightforward guide takes you through these new technologies and shows how to leverage them to reach new markets.

Artificial intelligence - When do machines take over?

Author : Klaus Mainzer
Publisher : Springer Nature
ISBN 13 : 3662597179
Total Pages : 279 pages
Book Rating : 4.6/5 (625 download)

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Book Synopsis Artificial intelligence - When do machines take over? by : Klaus Mainzer

Download or read book Artificial intelligence - When do machines take over? written by Klaus Mainzer and published by Springer Nature. This book was released on 2019-10-14 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: Everybody knows them. Smartphones that talk to us, wristwatches that record our health data, workflows that organize themselves automatically, cars, airplanes and drones that control themselves, traffic and energy systems with autonomous logistics or robots that explore distant planets are technical examples of a networked world of intelligent systems. Machine learning is dramatically changing our civilization. We rely more and more on efficient algorithms, because otherwise we will not be able to cope with the complexity of our civilizing infrastructure. But how secure are AI algorithms? This challenge is taken up in the 2nd edition: Complex neural networks are fed and trained with huge amounts of data (big data). The number of necessary parameters explodes exponentially. Nobody knows exactly what is going on in these "black boxes". In machine learning we need more explainability and accountability of causes and effects in order to be able to decide ethical and legal questions of responsibility (e.g. in autonomous driving or medicine)! Besides causal learning, we also analyze procedures of tests and verification to get certified AI-programs. Since its inception, AI research has been associated with great visions of the future of mankind. It is already a key technology that will decide the global competition of social systems. "Artificial Intelligence and Responsibility" is another central supplement to the 2nd edition: How should we secure our individual liberty rights in the AI world? This book is a plea for technology design: AI must prove itself as a service in society.

Limits of AI—Theoretical, Practical, Ethical

Author : Klaus Mainzer
Publisher : Springer Nature
ISBN 13 : 3662682907
Total Pages : 167 pages
Book Rating : 4.6/5 (626 download)

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Book Synopsis Limits of AI—Theoretical, Practical, Ethical by : Klaus Mainzer

Download or read book Limits of AI—Theoretical, Practical, Ethical written by Klaus Mainzer and published by Springer Nature. This book was released on with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Tenth International Conference on Applications and Techniques in Cyber Intelligence (ICATCI 2022)

Author : Jemal H. Abawajy
Publisher : Springer Nature
ISBN 13 : 3031290976
Total Pages : 1040 pages
Book Rating : 4.0/5 (312 download)

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Book Synopsis Tenth International Conference on Applications and Techniques in Cyber Intelligence (ICATCI 2022) by : Jemal H. Abawajy

Download or read book Tenth International Conference on Applications and Techniques in Cyber Intelligence (ICATCI 2022) written by Jemal H. Abawajy and published by Springer Nature. This book was released on 2023-04-07 with total page 1040 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents innovative ideas, cutting-edge findings, and novel techniques, methods, and applications in a broad range of cybersecurity and cyberthreat intelligence areas. As our society becomes smarter, there is a corresponding need to secure our cyberfuture. The book describes approaches and findings that are of interest to business professionals and governments seeking to secure our data and underpin infrastructures, as well as to individual users.

On the Foundations of Computing

Author : Giuseppe Primiero
Publisher : Oxford University Press, USA
ISBN 13 : 0198835647
Total Pages : 317 pages
Book Rating : 4.1/5 (988 download)

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Book Synopsis On the Foundations of Computing by : Giuseppe Primiero

Download or read book On the Foundations of Computing written by Giuseppe Primiero and published by Oxford University Press, USA. This book was released on 2019-11-19 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computing, today more than ever before, is a multi-faceted discipline which collates several methodologies, areas of interest, and approaches: mathematics, engineering, programming, and applications. Given its enormous impact on everyday life, it is essential that its debated origins are understood, and that its different foundations are explained. On the Foundations of Computing offers a comprehensive and critical overview of the birth and evolution of computing, and it presents some of the most important technical results and philosophical problems of the discipline, combining both historical and systematic analyses. The debates this text surveys are among the latest and most urgent ones: the crisis of foundations in mathematics and the birth of the decision problem, the nature of algorithms, the debates on computational artefacts and malfunctioning, and the analysis of computational experiments. By covering these topics, On the Foundations of Computing provides a much-needed resource to contextualize these foundational issues. For practitioners, researchers, and students alike, a historical and philosophical approach such as what this volume offers becomes essential to understand the past of the discipline and to figure out the challenges of its future.

Martin Davis on Computability, Computational Logic, and Mathematical Foundations

Author : Eugenio G. Omodeo
Publisher : Springer
ISBN 13 : 9783319824437
Total Pages : 438 pages
Book Rating : 4.8/5 (244 download)

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Book Synopsis Martin Davis on Computability, Computational Logic, and Mathematical Foundations by : Eugenio G. Omodeo

Download or read book Martin Davis on Computability, Computational Logic, and Mathematical Foundations written by Eugenio G. Omodeo and published by Springer. This book was released on 2018-05-03 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a set of historical recollections on the work of Martin Davis and his role in advancing our understanding of the connections between logic, computing, and unsolvability. The individual contributions touch on most of the core aspects of Davis’ work and set it in a contemporary context. They analyse, discuss and develop many of the ideas and concepts that Davis put forward, including such issues as contemporary satisfiability solvers, essential unification, quantum computing and generalisations of Hilbert’s tenth problem. The book starts out with a scientific autobiography by Davis, and ends with his responses to comments included in the contributions. In addition, it includes two previously unpublished original historical papers in which Davis and Putnam investigate the decidable and the undecidable side of Logic, as well as a full bibliography of Davis’ work. As a whole, this book shows how Davis’ scientific work lies at the intersection of computability, theoretical computer science, foundations of mathematics, and philosophy, and draws its unifying vision from his deep involvement in Logic.

A New Kind of Science

Author : Stephen Wolfram
Publisher : Wolfram Media
ISBN 13 : 9781579550257
Total Pages : 1193 pages
Book Rating : 4.5/5 (52 download)

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Book Synopsis A New Kind of Science by : Stephen Wolfram

Download or read book A New Kind of Science written by Stephen Wolfram and published by Wolfram Media. This book was released on 2018-11-30 with total page 1193 pages. Available in PDF, EPUB and Kindle. Book excerpt: NOW IN PAPERBACK"€"Starting from a collection of simple computer experiments"€"illustrated in the book by striking computer graphics"€"Stephen Wolfram shows how their unexpected results force a whole new way of looking at the operation of our universe.

A Companion to Digital Humanities

Author : Susan Schreibman
Publisher : John Wiley & Sons
ISBN 13 : 0470999861
Total Pages : 640 pages
Book Rating : 4.4/5 (79 download)

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Book Synopsis A Companion to Digital Humanities by : Susan Schreibman

Download or read book A Companion to Digital Humanities written by Susan Schreibman and published by John Wiley & Sons. This book was released on 2008-04-15 with total page 640 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Companion offers a thorough, concise overview of the emerging field of humanities computing. Contains 37 original articles written by leaders in the field. Addresses the central concerns shared by those interested in the subject. Major sections focus on the experience of particular disciplines in applying computational methods to research problems; the basic principles of humanities computing; specific applications and methods; and production, dissemination and archiving. Accompanied by a website featuring supplementary materials, standard readings in the field and essays to be included in future editions of the Companion.

Book of Majors 2014

Author : The College Board
Publisher : College Board
ISBN 13 : 1457300311
Total Pages : 1368 pages
Book Rating : 4.4/5 (573 download)

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Book Synopsis Book of Majors 2014 by : The College Board

Download or read book Book of Majors 2014 written by The College Board and published by College Board. This book was released on 2013-07-02 with total page 1368 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Book of Majors 2014 by The College Board helps students answer these questions: What's the major for me? Where can I study it? What can I do with it after graduation? Revised and refreshed every year, this book is the most comprehensive guide to college majors on the market. In-depth descriptions of 200 of the most popular majors are followed by complete listings of every major offered at more than 3,800 colleges, including four-year and two-year colleges and technical schools. The 2014 edition covers every college major identified by the U.S. Department of Education—over 1,200 majors are listed in all. This is also the only guide that shows what degree levels each college offers in a major, whether a certificate, associate, bachelor's, master's or doctorate. The guide features: • insights—from the professors themselves—on how each major is taught, what preparation students will need, other majors to consider and much more. • updated information on career options and employment prospects. • the inside scoop on how students can find out if a college offers a strong program for a particular major, what life is like for students studying that major, and what professional societies and accrediting agencies to refer to for more background on the major.

Book of Majors 2013

Author : The College Board
Publisher : College Board
ISBN 13 : 1457300230
Total Pages : 1372 pages
Book Rating : 4.4/5 (573 download)

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Book Synopsis Book of Majors 2013 by : The College Board

Download or read book Book of Majors 2013 written by The College Board and published by College Board. This book was released on 2012-09-01 with total page 1372 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Book of Majors 2013 by The College Board helps students answer these questions: What's the major for me? Where can I study it? What can I do with it after graduation? Revised and refreshed every year, this book is the most comprehensive guide to college majors on the market. In-depth descriptions of 200 of the most popular majors are followed by complete listings of every major offered at over 3,800 colleges, including four-year, two-year and technical schools. The 2013 edition covers every college major identified by the U.S. Department of Education — over 1,100 majors are listed in all. This is also the only guide that shows what degree levels each college offers in a major, whether a certificate, associate, bachelor's, master's or doctorate. The guide features: • Insights — from the professors themselves — on how each major is taught, what preparation students will need, other majors to consider and much more! • Updated information on career options and employment prospects. • Inside scoop on how students can find out if a college offers a strong program for a particular major, what life is like for students studying that major, and what professional societies and accrediting agencies to refer to for more background on the major.