Format: Paperback / softback, 163 pages, height x width: 235x155 mm, weight: 320 g, 53 Illustrations, black and white; XXXVIII, 163 p. 53 illus.
Series: History of Physics
Pub. Date: 07-Jan-2023
ISBN-13: 9783030719548
This book aims to make Galileo Galilei (1564-1642) accessible to the modern reader by refashioning the great scientist's masterpiece "Discourses and Mathematical Demonstrations Relating to Two New Sciences" in today's language.
Galileo Galilei stands as one of the most important figures in history, not simply for his achievements in astronomy, physics, and engineering and for revolutionizing science and the scientific method in general, but also for the role that he played in the (still ongoing) drama concerning entrenched power and its desire to stifle any knowledge that may threaten it. Therefore, it is important that today's readers come to understand and appreciate what Galilei accomplished and wrote. But the mindset that shapes how we see the world today is quite different from the mindset -- and language -- of Galilei and his contemporaries. Another obstacle to a full understanding of Galilei's writings is posed by the countless historical, philosophical, geometrical, and linguistic references he made, along with his often florid prose, with its blend of Italian and Latin. De Angelis' new rendition of the work includes translations of the original geometrical figures into algebraic formulae in modern notation and allows the non-specialist reader to follow the thread of Galileo's thought and in a way that was barely possible until now.
Chapter 1 - Introduction.
Chapter 2 - Galileo's units.
Chapter 3 - Day
One: First new science, which concerns the resistance of solids to fracture.-
Chapter 4 - Day Two: What could be the cause of cohesion.
Chapter 5 - Day
Three: Other new science, on local motion.
Chapter 6 - Day Four: The motion
of projectiles.
Chapter 7 - Additional Day: The force of percussion.
Format: Paperback / softback, 340 pages, height x width: 235x155 mm, weight: 551 g, 32 Illustrations, color; 11 Illustrations, black and white; XIX, 340 p. 43 illus., 32 illus. in color.
Pub. Date: 24-Jan-2023
ISBN-13: 9783030886394
This book is designed to serve as a textbook for courses offered to undergraduate and graduate students enrolled in Mathematics. The first edition of this book was published in 2015. As there is a demand for the next edition, it is quite natural to take note of the several suggestions received from the users of the earlier edition over the past six years. This is the prime motivation for bringing out a revised second edition with a thorough revision of all the chapters. The book provides a clear understanding of the basic concepts of differential and integral calculus starting with the concepts of sequences and series of numbers, and also introduces slightly advanced topics such as sequences and series of functions, power series, and Fourier series which would be of use for other courses in mathematics for science and engineering programs. The salient features of the book are - precise definitions of basic concepts; several examples for understanding the concepts and for illustrating the results; includes proofs of theorems; exercises within the text; a large number of problems at the end of each chapter as home-assignments. The student-friendly approach of the exposition of the book would be of great use not only for students but also for the instructors. The detailed coverage and pedagogical tools make this an ideal textbook for students and researchers enrolled in a mathematics course.
Sequence and Series of Real Numbers.- Limit, Continuity and
Differentiability of Functions.- Definite Integral.- Improper Integrals.-
Sequence and Series of Functions.- Fourier Series.- References.- Index.
Format: Paperback / softback, 643 pages, height x width: 235x155 mm, weight: 1003 g, 79 Illustrations, color; 136 Illustrations, black and white; XVIII, 643 p. 215 illus., 79 illus. in color
Series: Progress in Mathematics 340
Pub. Date: 05-Feb-2023
ISBN-13: 9783030781507
Over the course of his distinguished career, Nicolai Reshetikhin has made a number of groundbreaking contributions in several fields, including representation theory, integrable systems, and topology. The chapters in this volume - compiled on the occasion of his 60th birthday - are written by distinguished mathematicians and physicists and pay tribute to his many significant and lasting achievements. Covering the latest developments at the interface of noncommutative algebra, differential and algebraic geometry, and perspectives arising from physics, this volume explores topics such as the development of new and powerful knot invariants, new perspectives on enumerative geometry and string theory, and the introduction of cluster algebra and categorification techniques into a broad range of areas. Chapters will also cover novel applications of representation theory to random matrix theory, exactly solvable models in statistical mechanics, and integrable hierarchies. The recent progress in the mathematical and physicals aspects of deformation quantization and tensor categories is also addressed. Representation Theory, Mathematical Physics, and Integrable Systems will be of interest to a wide audience of mathematicians interested in these areas and the connections between them, ranging from graduate students to junior, mid-career, and senior researchers.
Andruskiewitsch, Angiono, Heckenberger, Examples of Finite-Dimensional
Pointed Hopf Algebras in Positive Characteristic.- Bakalov, de Sole, Kac,
Vignoli, Poisson Vertex Algebra Cohomology and Differential Harrison
Cohomology.- Cattaneo, Mnev, Wernli, Theta Invariants of Lens Spaces via the
BV-BFV Formalism.- Chari, Davis, Moruzzi, Jr., Generalized Demazure Models
and Prime Representations of in Type $D_n$.- Corteel, Mandelshtam, Williams,
Cylindric Rhombic Tableaux and the Two-Species ASEP on a Ring.- Di Francesco,
Kedem, Macdonald Operators and Quantum Q-Systems for Classical Types.-
Gautam, Toledano Laredo, Wendlandt, The Meromorphic R-Matrix of the Yangian.-
Gerasimov, Shatashvili, On Spectral Cover Equations in Simpson Integrable
Systems.- Giaquinto, Gilman, Tingley, Peter-Weyl Bases, Preferred
Deformations, and Schur-Weyl Duality.- Hernandez, Quantum Periodicity and
Kirillov-Reshetikhin Modules.- Hsiao, Szenes, A Note on the E-Polynomials of
a Stratification of the Hilbert Scheme of Points.- Johnson-Freyd, Galois
Action on VOA Gauge Anomalies.- Johnson-Freyd, Heisenberg-Picture Quantum
Field Theory.- Jones, Irreducibility of the WYSIWYG Representations of
Thompson's Group.- Kirillov, Rigged Configurations and Unimodality.-
Mkrtchyan, Turning Point Processes in Plane Partitions with Periodic Weights
of Arbitrary Period.- Al-Qasimi, The Skein Category of the Annulus.-
Serganova, Tensor Product of the Fock Representation with its Dual and the
Deligne Category.- Smirnov, Exact Density Matrix for Quantum Group Invariant
Sector of XXZ Model.- Turaev, Loops in Surfaces and Star-Fillings.
Format: Paperback / softback, 190 pages, height x width: 240x168 mm, XIX, 190 p
Series: Frontiers in Mathematics
Pub. Date: 03-Jun-2023
ISBN-13: 9783031274503
This monograph studies the heat kernel for the spin-tensor Laplacians on Lie groups and maximally symmetric spaces. It introduces many original ideas, methods, and tools developed by the author and provides a list of all known exact results in explicit form - and derives them - for the heat kernel on spheres and hyperbolic spaces. Part I considers the geometry of simple Lie groups and maximally symmetric spaces in detail, and Part II discusses the calculation of the heat kernel for scalar, spinor, and generic Laplacians on spheres and hyperbolic spaces in various dimensions. This text will be a valuable resource for researchers and graduate students working in various areas of mathematics - such as global analysis, spectral geometry, stochastic processes, and financial mathematics - as well in areas of mathematical and theoretical physics - including quantum field theory, quantum gravity, string theory, and statistical physics.
Part I. ManifoldsChapter.
1. IntroductionChapter.
2. Geometry of Simple
GroupsChapter.
3. Geometry of SU(2)Chapter.
4. Maximally Symmetric
SpacesChapter.
5. Three-dimensional Maximally Symmetric SpacesPart II: Heat
KernelChapter.
6. Scalar Heat KernelChapter.
7. Spinor Heat KernelChapter.
8.
Heat Kernel in Two DimensionsChapter.
9. Heat Kernel on S3 and H3Chapter.
10.
Algebraic Method for the Heat KernelAppendix AReferencesIndex
Format: Hardback, 259 pages, height x width: 235x155 mm, 15 Tables, color; 4 Illustrations, color; 11 Illustrations, black and white; XIII, 259 p. 15 illus., 4 illus. in color
Series: Industrial and Applied Mathematics
Pub. Date: 13-Jun-2023
ISBN-13: 9789819901500
Author Biography
Goodreads reviews
This book contains selected chapters on recent research in topology. It bridges the gap between recent trends of topological theories and their applications in areas like social sciences, natural sciences, soft computing, economics, theoretical chemistry, cryptography, pattern recognitions and granular computing. There are 14 chapters, including two chapters on mathematical economics from the perspective of topology. The book discusses topics on function spaces, relator space, preorder, quasi-uniformities, bitopological dynamical systems, b-metric spaces and related fixed point theory. This book is useful to researchers, experts and scientists in studying the cutting-edge research in topology and related areas and helps them applying topology in solving real-life problems the society and science are facing these days..
Chapter
1. Spaces of Minimal Usco and Minimal Cusco Maps as Frechet
Topological Vector Spaces.
Chapter
2. Contra Continuity Properties of
Relations in Relator Spaces.
Chapter
3. The Continuous Representation
Property in Utility Theory.
Chapter
4. On Quasi-Uniformities, Function
Spaces and Atoms: remarks and some Questions.
Chapter
5. Some Cardinal
Estimations via the Inclusion-Exclusion Principle in Finite T0 Topological
Spaces.
Chapter
6. Representations of preference relations with preutility
functions on metric spaces.
Chapter
7. Entropy of a pairwise continuous map
in NWPC bitopological dynamical systems.
Chapter
8. Topological Approaches
for Vector Variational Inequality Problems.
Chapter
9. Ideals and Grills
associated with a Rough set.
Chapter
10. Filter verses ideal on topological
spaces.
Chapter
11. Fisher Type Set-valued Mappings in b-metric spaces and
an Application to Integral Inclusion.
Chapter
12. Topological aspects of
granular computing.
Chapter
13. On topological index of naturally occurring
zeolite material [ 4, n].
Chapter
14. q-Rung Orthopair Fuzzy Points and
Applications to q-Rung Orthopair Fuzzy Topological Spaces and Pattern
Recognition.
Format: Hardback, 426 pages, height x width: 235x155 mm, 164 Illustrations, black and white; XX, 426 p. 164 illus., 1 Hardback
Series: Graduate Texts in Physics
Pub. Date: 24-Jul-2023
ISBN-13: 9789819900213
This book, the first in a three-volume set, explains general relativity using the mathematical tool of differential geometry. The book consists of ten chapters, the first five of which introduce differential geometry, which is widely applicable even outside the field of relativity. Chapter 6 analyzes special relativity using geometric language. In turn, the last four chapters introduce readers to the fundamentals of general relativity. Intended for beginners, this volume includes numerous exercises and worked-out example in each chapter to facilitate the learning experience. Chiefly written for graduate-level courses, the book's content will also benefit upper-level undergraduate students, and can be used as a reference guide for practicing theoretical physicists.
Topological Spaces in Brief.- Manifolds and Tensor Fields.- The Riemann
(Intrinsic) Curvature Tensor.- Lie Derivative, Killing Fields and
Hypersurfaces.- Differential Forms and Their Integrals.- Special Relativity.-
Foundations of General Relativity.- Solving the Einstein's Equation.-
Schwarzschild Spacetimes.- Cosmology.- Appendix: The Conversion Between
Systems of Geometrized and Nongeometrized Units.