Format: Hardback, height x width: 203x127 mm, Approx. 150 p.
Pub. Date: 01-Sep-2022
ISBN-13: 9783030961619
Simulating the behavior of a human heart, predicting tomorrow's weather, optimizing the aerodynamics of a sailboat, finding the ideal cooking time for a hamburger: to solve these problems, cardiologists, meteorologists, sportsmen, and engineers can count on math help. This book will lead you to the discovery of a magical world, made up of equations, in which a huge variety of important problems for our life can find useful answers.
1 The model, aka the magic box.- 2 Weather Forecast Models.- 3 Epidemics: the Mathematics of Contagion.- 4 Mathematical Hearth.- 5 Mathematics in the Wind.- 6 Flying on Sun Power.- 7 The taste for Mathematics.- 8 Conclusions.
Format: Paperback / softback, height x width: 235x155 mm, Approx. 560 p.
Series: La Matematica per il 3+2 137
Pub. Date: 11-Sep-2022
ISBN-13: 9783031041501
This work is a textbook on Mathematical Analysis written by expert lecturers in the field. This textbook, other than the classical differentiation and integration tools for functions of several real variables, metric spaces, ordinary differential equations, implicit function and so on, also provides opportunities to go deeper into certain topics: among them, the Ascoli-Arzela theorem, the regularity of convex functions in R^n, L^p spaces and absolutely continuous functions, all topics that are paramount in modern Mathematical Analysis. Other instances include the Weierstrass theorem on polynomial approximation of continuous functions or Peano's existence theorem (typically only existence, without uniqueness) for nonlinear ODEs and systems under general assumptions. The content is discussed in an elementary way and, at a successive stage, some topics are examined from several, more penetrating, angles. The agile organization of the subject matter helps instructors to effortlessly determine which parts to present during lectures and where to stop. The authors believe that any textbook can contribute to the success of a lecture course only to a point, and the choices made by lecturers are decisive in this respect. The book is addressed to graduate or undergraduate honors students in Mathematics, Physics, Astronomy, Computer Science, Statistics and Probability, attending Mathematical Analysis courses at the Faculties of Science, Engineering, Economics and Architecture.
1 Sequences and Series of Functions.- 2 Metric Spaces and Banach Spaces.- 3 Functions of Several Variables.- 4 Ordinary Differential Equations.- 5 Linear Differential Equations.- 6 Curves and Integrals Along Curves.- 7 Differential One-Forms.- 8 Multiple Integrals.- 9 The Lebesgue Integral.- 10 Surfaces and Surface Integrals.- 11 Implicit Functions.- 12 Manifold in Rn and k-Forms.
Format: Paperback / softback, 170 pages, height x width: 235x155 mm, 21 Tables, color; 21 Illustrations,
color; 32 Illustrations, black and white; X, 170 p. 53 illus., 21 illus. in color.,
Series: C.I.M.E. Foundation Subseries 2308
Pub. Date: 20-Aug-2022
ISBN-13: 9783031053207
This CIME Series book provides mathematical and simulation tools to help resolve environmental hazard and security-related issues.
The contributions reflect five major topics identified by the SIES (Strategic Initiatives for the Environment and Security) as having significant societal impact: optimal control in waste management, in particular the degradation of organic waste by an aerobic biomass, by means of a mathematical model; recent developments in the mathematical analysis of subwave resonators; conservation laws in continuum mechanics, including an elaboration on the notion of weak solutions and issues related to entropy criteria; the applications of variational methods to 1-dimensional boundary value problems, in particular to light ray-tracing in ionospheric physics; and the mathematical modelling of potential electromagnetic co-seismic events associated to large earthquakes.
This material will provide a sound foundation for those who intend to approach similar problems from a multidisciplinary perspective.
Introduction.- Optimal Control Strategies for Composting Processes in Biocells with L1 type and L2 type Cost Objectives.- Wave Interaction with Subwavelength Resonators.- Variational Methods With Application To One-Dimensional Boundary Value Problems And Numerical Evaluations.- Electromagnetic Hypogene Co-seismic Sources.- Conservation Laws in Continuum Mechanics.
Format: Paperback / softback, 270 pages, height x width: 235x155 mm, 1 Tables, color;
1 Illustrations, color; 40 Illustrations, black and white; X, 270 p. 41 illus., 1 illus. in color
Series: Lecture Notes in Mathematics 2311
Pub. Date: 02-Aug-2022
ISBN-13: 9783031051210
This book provides an introduction to deformation quantization and its relation to quantum field theory, with a focus on the constructions of Kontsevich and Cattaneo & Felder. This subject originated from an attempt to understand the mathematical structure when passing from a commutative classical algebra of observables to a non-commutative quantum algebra of observables. Developing deformation quantization as a semi-classical limit of the expectation value for a certain observable with respect to a special sigma model, the book carefully describes the relationship between the involved algebraic and field-theoretic methods. The connection to quantum field theory leads to the study of important new field theories and to insights in other parts of mathematics such as symplectic and Poisson geometry, and integrable systems.
Based on lectures given by the author at the University of Zurich, the book will be of interest to graduate students in mathematics or theoretical physics. Readers will be able to begin the first chapter after a basic course in Analysis, Linear Algebra and Topology, and references are provided for more advanced prerequisites.
Introduction.- Foundations of Differential Geometry.- Symplectic Geometry.- Poisson Geometry.- Deformation Quantization.- Quantum Field Theoretic Approach to Deformation Quantization.
Bibliog. data: 2. Aufl. 2023. l, 1450 S. L, 1450 p. 350 illus., 200 illus. in color. 279 mm
Format: Gebunden
Series: Springer Handbooks
ISBN-13: 9781447175025
In today"s global and highly competitive environment, continuous improvement in the processes and products of any field of engineering is essential for survival. This book gathers together the full range of statistical techniques required by engineers from all fields. It will assist them to gain sensible statistical feedback on how their processes or products are functioning and to give them realistic predictions of how these could be improved. The handbook will be essential reading for all engineers and engineering-connected managers who are serious about keeping their methods and products at the cutting edge of quality and competitiveness.
Part I: Fundamental Statistics and its Applications.- Part II: Process Monitoring and Improvement.- Part III: Reliability Models and Survival Analysis.- Part IV: Advanced Statistical Methods and Modeling.- Part V: Statistical Computing and Data Mining.- Part VI: Applications in Engineering Statistics.
Dr. Hoang Pham is a Distinguished Professor and former Chairman of the
Department of Industrial and Systems Engineering at Rutgers University,
New Jersey. Before joining Rutgers, he was a Senior Engineering Specialist
with the Idaho National Engineering Laboratory and Boeing Company. He received
the B.S. degrees in mathematics and in computer science with high honors
from Northeastern Illinois University, Chicago, the M.S. degree in statistics
from the University of Illinois, Urbana-Champaign, and the M.S. and Ph.D.
degrees in industrial engineering from the State University of New York
at Buffalo. His research areas include reliability engineering, software
reliability, and statistical inference. He has served as editor, associate
editor, and guest editor of many journals including IEEE Trans. on Systems,
Man and Cybernetics (Part A), IEEE Trans. on Reliability. He is editor-in-chief
of the International Journal of Reliability, Quality and Safety Engineering.
He is the editor of Springer Series in Reliability Engineering and has
been conference chair and program chair of over 40 international conferences
and workshops. He is the author or coauthor of 7 books and has published
over 200 journal articles, 100 conference papers, and edited 20 books including
Handbook in Reliability Engineering (Springer). He has delivered over 40
invited keynote and plenary speeches at many international conferences
and institutions. His numerous awards include the 2009 IEEE Reliability
Society Engineer of the Year Award. He is a Fellow of the Institute of
Electrical and Electronics Engineers (IEEE) and the Institute of Industrial
and Systems Engineers
Mathematical Olympiad Series: Volume 19
https://doi.org/10.1142/12837 | September 2022
Pages: 250
ISBN: 978-981-125-632-5 (hardcover)
ISBN: 978-981-125-739-1 (softcover)
In China, lots of excellent maths students take an active part in various maths contests and the best six senior high school students will be selected to form the IMO National Team to compete in the International Mathematical Olympiad. In the past ten years China's IMO Team has achieved outstanding results ? they won the first place almost every year.
The authors of this book are coaches of the China national team. They are Xiong Bin, Yao Yijun, Qu Zhenhua et al. Those who took part in the translation work are Zhao Wei and Zhou Tianyou.
The materials of this book come from a series of two books (in Chinese) on Forward to IMO: A Collection of Mathematical Olympiad Problems (2019?2020). It is a collection of problems and solutions of the major mathematical competitions in China. It provides a glimpse of how the China national team is selected and formed.
China Mathematical Competition
China Mathematical Competition (Complementary Test)
China Mathematical Olympiad
China National Team Selection Test
China Girls' Mathematical Olympiad
China Western Mathematical Invitation
China Southeastern Mathematical Olympiad
International Mathematical Olympiad
Readership: Mathematics students, school teachers, college lecturers, university professors; mathematics enthusiasts.
Mathematical Olympiad Series: Volume 18
https://doi.org/10.1142/12836 | September 2022
Pages: 260
ISBN: 978-981-125-629-5 (hardcover)
ISBN: 978-981-125-738-4 (softcover)
In China, lots of excellent maths students take an active part in various maths contests and the best six senior high school students will be selected to form the IMO National Team to compete in the International Mathematical Olympiad. In the past ten years China's IMO Team has achieved outstanding results ? they won the first place almost every year.
The authors of this book are coaches of the China national team. They are Xiong Bin, Yao Yijun, Qu Zhenhua, et al. Those who took part in the translation work are Wang Shanping and Chen Haoran.
The materials of this book come from a series of two books (in Chinese) on Forward to IMO: A Collection of Mathematical Olympiad Problems (2017?2018). It is a collection of problems and solutions of the major mathematical competitions in China. It provides a glimpse of how the China national team is selected and formed.
China Mathematical Competition
China Mathematical Competition (Complementary Test)
China Mathematical Olympiad
China National Team Selection Test
China Girls' Mathematical Olympiad
China Western Mathematical Invitation
China Southeastern Mathematical Olympiad
International Mathematical Olympiad
Readership: Mathematics students, school teachers, college lecturers, university professors; mathematics enthusiasts.