Mathematics In Science And Technology: Mathematical Methods, Models And Algorithms In Science And Technology - Proceedings Of The Satellite Conference Of Icm 2010 PDF Download

Author: Abul Hasan Siddiqi
Publisher: World Scientific
ISBN: 9814462144
Category : Mathematics
Languages : en
Pages : 558

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Book Description
This unique volume presents reviews of research in several important areas of applications of mathematical concepts to science and technology, for example applications of inverse problems and wavelets to real world systems. The book provides a comprehensive overview of current research of several outstanding scholars engaged in diverse fields such as complexity theory, vertex coupling in quantum graphs, mixing of substances by turbulence, network dynamics and architecture, processes with rate — independent hysteresis, numerical analysis of Hamilton Jacobi — Bellman equations, simulations of complex stochastic differential equations, optimal flow control, shape optimal flow control, shape optimization and aircraft designing, mathematics of brain, nanotechnology and DNA structure and mathematical models of environmental problems. The volume also contains contributory talks based on current researches of comparatively young researchers participating in the conference.

Author: K. A. Stroud
Publisher:
ISBN: 9780831133917
Category : Mathematics
Languages : en
Pages : 0

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Book Description
This is an entry level text for a wide range of courses in computer science, medicine, health sciences, social sciences, business, engineering and science. Using the phenomenally successful approach of the bestselling Engineering Mathematics by the same authors, it takes you through the math step-by-step with a wealth of examples and exercises. It is an appropriate refresher or brush-up for sci-tech and business students whose math skills need further development. Offers a unique module approach that takes users through the mathematics in a step-by-step fashion with a wealth of worked examples and exercises. Contains Quizzes, Learning Outcomes and Can You? Checklists that guide readers through each topic and focus understanding. Ideal as reference or a self-learning manual.

Author: Sven Ove Hansson
Publisher: Springer
ISBN: 3319937790
Category : Philosophy
Languages : en
Pages : 373

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Book Description
This volume is the first extensive study of the historical and philosophical connections between technology and mathematics. Coverage includes the use of mathematics in ancient as well as modern technology, devices and machines for computation, cryptology, mathematics in technological education, the epistemology of computer-mediated proofs, and the relationship between technological and mathematical computability. The book also examines the work of such historical figures as Gottfried Wilhelm Leibniz, Charles Babbage, Ada Lovelace, and Alan Turing.

Author: Christiane Rousseau
Publisher: Springer Science & Business Media
ISBN: 0387692169
Category : Mathematics
Languages : en
Pages : 580

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Book Description
This book introduces the student to numerous modern applications of mathematics in technology. The authors write with clarity and present the mathematics in a clear and straightforward way making it an interesting and easy book to read. Numerous exercises at the end of every section provide practice and reinforce the material in the chapter. An engaging quality of this book is that the authors also present the mathematical material in a historical context and not just the practical one. Mathematics and Technology is intended for undergraduate students in mathematics, instructors and high school teachers. Additionally, its lack of calculus centricity as well as a clear indication of the more difficult topics and relatively advanced references make it suitable for any curious individual with a decent command of high school math.

Author: Jayant V. Narlikar
Publisher: Taylor & Francis
ISBN: 1000433196
Category : Mathematics
Languages : en
Pages : 189

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Book Description
This book offers an engaging and comprehensive introduction to scientific theories and the evolution of science and mathematics through the centuries. It discusses the history of scientific thought and ideas and the intricate dynamic between new scientific discoveries, scientists, culture and societies. Through stories and historical accounts, the volume illustrates the human engagement and preoccupation with science and the interpretation of natural phenomena. It highlights key scientific breakthroughs from the ancient to later ages, giving us accounts of the work of ancient Greek and Indian mathematicians and astronomers, as well as of the work of modern scientists like Descartes, Newton, Planck, Mendel and many more. The author also discusses the vast advancements which have been made in the exploration of space, matter and genetics and their relevance in the advancement of the scientific tradition. He provides great insights into the process of scientific experimentation and the relationship between science and mathematics. He also shares amusing anecdotes of scientists and their interactions with the world around them. Detailed and accessible, this book will be of great interest to students and researchers of science, mathematics, the philosophy of science, science and technology studies and history. It will also be useful for general readers who are interested in the history of scientific discoveries and ideas.

Author: Gila Hanna
Publisher: Springer Nature
ISBN: 3030284832
Category : Education
Languages : en
Pages : 374

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Book Description
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.

Author: Dennis Adams
Publisher: Rowman & Littlefield
ISBN: 1475809050
Category : Education
Languages : en
Pages : 177

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Book Description
Teaching Math, Science, and Technology in Schools Today: Guidelines for Engaging Both Eager and Reluctant Learners offers unique, engaging, and thought-provoking ideas. The activities open imaginative doors to learning and provide opportunities for all learners. It surveys today’s most important trends and dilemmas while explaining how collaboration and critical thinking can be translated into fresh classroom practices. Questions, engagement, and curiosity are viewed as natural partners for mathematical problem solving, scientific inquiry, and learning about technology. Like the Common Core State Standards, the book builds on the social nature of learning to provide suggestions for both eager and reluctant learners. The overall goal of the book is to deepen the collective conversation, challenge thinking, and provide some up-to-date tools for teachers so they can help reverse the steady erosion of math, science, and technology understanding in the general population.

Author: Michael J. Jacobson
Publisher: Routledge
ISBN: 1135706948
Category : Education
Languages : en
Pages : 399

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Book Description
The uses of technology in education have kindled great interest in recent years. Currently, considerable resources are being expended to connect schools to the Internet, to purchase powerful (and increasingly affordable) computers, and on other implementations of educational technologies. However, the mere availability of powerful, globally-connected computers is not sufficient to insure that students will learn--particularly in subjects that pose considerable conceptual difficulties, such as in science and mathematics. The true challenge is not just to put the newest technologies in our schools, but to identify advanced ways to design and use these new technologies to advance learning. This book offers a "snapshot" of current work that is attempting to address this challenge. It provides valuable and timely information to science and mathematics educators, educational and cognitive researchers, instructional technologists and educational software developers, educational policymakers, and to scholars and students in these fields.

Author: Daniel Granato
Publisher: John Wiley & Sons
ISBN: 1118433688
Category : Technology & Engineering
Languages : en
Pages : 540

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Book Description
Mathematical and Statistical Approaches in Food Science and Technology offers an accessible guide to applying statistical and mathematical technologies in the food science field whilst also addressing the theoretical foundations. Using clear examples and case-studies by way of practical illustration, the book is more than just a theoretical guide for non-statisticians, and may therefore be used by scientists, students and food industry professionals at different levels and with varying degrees of statistical skill.

Author: Giuseppe Longo
Publisher: World Scientific
ISBN: 1908977795
Category : Science
Languages : en
Pages : 337

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Book Description
This book identifies the organizing concepts of physical and biological phenomena by an analysis of the foundations of mathematics and physics. Our aim is to propose a dialog between different conceptual universes and thus to provide a unification of phenomena. The role of “order” and symmetries in the foundations of mathematics is linked to the main invariants and principles, among them the geodesic principle (a consequence of symmetries), which govern and confer unity to various physical theories. Moreover, an attempt is made to understand causal structures, a central element of physical intelligibility, in terms of both symmetries and symmetry breakings. A distinction between the principles of (conceptual) construction and of proofs, both in physics and in mathematics, guides most of the work.The importance of mathematical tools is also highlighted to clarify differences in the models for physics and biology that are proposed by continuous and discrete mathematics, such as computational simulations.Since biology is particularly complex and not as well understood at a theoretical level, we propose a “unification by concepts” which in any case should precede mathematization. This constitutes an outline for unification also based on highlighting conceptual differences, complex points of passage and technical irreducibilities of one field to another. Indeed, we suppose here a very common monist point of view, namely the view that living objects are “big bags of molecules”. The main question though is to understand which “theory” can help better understand these bags of molecules. They are, indeed, rather “singular”, from the physical point of view. Technically, we express this singularity through the concept of “extended criticality”, which provides a logical extension of the critical transitions that are known in physics. The presentation is mostly kept at an informal and conceptual level./a