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237709 results in Mathematics

Page 1 of 11886

Single and Multiple Number Series

Causal Fermion Systems
  • An Introduction to Fundamental Structures, Methods and Applications
  • Felix Finster, Sebastian Kindermann, Jan‐Hendrik Treude
  • Coming soon
  • Expected online publication date:
    October 2025
    Print publication:
    31 October 2025
  • The theory of causal fermion systems represents a novel approach to fundamental physics and is a promising candidate for a unified physical theory. This book offers a comprehensive overview of the theory, structured in four parts: the first lays the necessary mathematical and physical foundations; the second offers an introduction to the theory and the causal action principle; the third describes the mathematical tools for analyzing causal fermion systems; and the fourth gives an outlook on the key physical applications. With relevance across mathematical and theoretical physics, the book is aimed at graduate students and researchers interested in novel approaches to the structure of spacetime and alternative perspectives to the more established quantum field theories. It can be used for advanced courses in the subject or as a reference for research and self-guided study. Exercises are included at the end of each chapter to build and develop key concepts.

Multiplicative Number Theory II
  • Primes and Sieves
  • Hugh L. Montgomery, Robert C. Vaughan
  • Coming soon
  • Expected online publication date:
    September 2025
    Print publication:
    30 September 2025
  • This long-anticipated work shares the aims of its celebrated companion: namely, to provide an introduction for students and a reference for researchers to the techniques, results, and terminology of multiplicative number theory. This volume builds on the earlier one (which served as an introduction to basic, classical results) and focuses on sieve methods. This area has witnessed a number of major advances in recent years, e.g. gaps between primes, large values of Dirichlet polynomials and zero density estimates, all of which feature here. Despite the fact that the book can serve as an entry to contemporary mathematics, it remains largely self-contained, with appendices containing background or material more advanced than undergraduate mathematics. Again, exercises, of which there is a profusion, illustrate the theory or indicate ways in which it can be developed. Each chapter ends with a thorough set of references, which will be essential for all analytic number theorists.

An Introduction to Immersed Boundary Methods
  • Roberto Verzicco, Marco D. de Tullio, Francesco Viola
  • Coming soon
  • Expected online publication date:
    September 2025
    Print publication:
    30 September 2025
  • Unlock the potential of computational fluid dynamics with this essential guide for master's and graduate students, and researchers. It explores the immersed boundary method (IBM), a revolutionary approach for simulating flows in complex geometries. With a focus on fluid/structure interaction, it examines theoretical principles and practical implementations, offering insights into tackling intricate geometries and enhancing simulation accuracy. The book features a series of numerical examples that increase in complexity, and is accompanied by the source code, allowing readers to replicate results and deepen their understanding. Whether you're wanting to refine your skills or embark on new research, this introduction will empower you to master the art of complex flow simulations.

Essential Mathematics for Convex Optimization
  • Fatma Kılınç-Karzan, Arkadi Nemirovski
  • Coming soon
  • Expected online publication date:
    September 2025
    Print publication:
    31 July 2025
  • With an emphasis on timeless essential mathematical background for optimization, this textbook provides a comprehensive and accessible introduction to convex optimization for students in applied mathematics, computer science, and engineering. Authored by two influential researchers, the book covers both convex analysis basics and modern topics such as conic programming, conic representations of convex sets, and cone-constrained convex problems, providing readers with a solid, up-to-date understanding of the field. By excluding modeling and algorithms, the authors are able to discuss the theoretical aspects in greater depth. Over 170 in-depth exercises provide hands-on experience with the theory, while the 36 “Facts” and their accompanying proofs enhance approachability. Instructors will appreciate the appendices that cover all necessary background and the instructors-only solutions manual provided online. By the end of the book, readers will be well equipped to engage with state-of-the-art developments in optimization and its applications in decision-making and engineering.

Random Vibrations
  • A Primer
  • Debasish Roy, G. Visweswara Rao
  • Coming soon
  • Expected online publication date:
    August 2025
    Print publication:
    31 August 2025
  • This textbook chart out an easy-to-comprehend account of the methods of random vibrations, aided by modern yet basic concepts in probability theory and random processes. It starts with a quick review of certain elements of structural dynamics, thus setting the stage for their seamless continuation in developing techniques for response analyses of structures under random environmental loads, such as winds and earthquakes. The book also offers a few glimpses of the powerful tools of stochastic processes to kindle the spirit of scientific inquiry. By way of applications, it contains numerous illustrative examples and exercises, many of which relate to practical design problems of interest to the industry. A companion website provides solutions to all the problems in the exercises. For the benefit of the prospective instructors, a semester-long schedule for offering a course on Random Vibrations is also suggested.

Control Systems Theory
  • N Sukavanam
  • Coming soon
  • Expected online publication date:
    August 2025
    Print publication:
    01 October 2026

Essential Graph Theory

Mathematical Methods in Data Science
  • Bridging Theory and Applications with Python
  • Sébastien Roch
  • Coming soon
  • Expected online publication date:
    August 2025
    Print publication:
    31 August 2025
  • Bridge the gap between theoretical concepts and their practical applications with this rigorous introduction to the mathematics underpinning data science. It covers essential topics in linear algebra, calculus and optimization, and probability and statistics, demonstrating their relevance in the context of data analysis. Key application topics include clustering, regression, classification, dimensionality reduction, network analysis, and neural networks. What sets this text apart is its focus on hands-on learning. Each chapter combines mathematical insights with practical examples, using Python to implement algorithms and solve problems. Self-assessment quizzes, warm-up exercises and theoretical problems foster both mathematical understanding and computational skills. Designed for advanced undergraduate students and beginning graduate students, this textbook serves as both an invitation to data science for mathematics majors and as a deeper excursion into mathematics for data science students.

Dynamics of Mechanical Systems
  • A Modern Introduction to Three-Dimensional Rigid Body Dynamics
  • Frank C. Park, Kyu Min Park
  • Coming soon
  • Expected online publication date:
    August 2025
    Print publication:
    31 August 2025
  • Written by experts in the field, this text provides a modern introduction to three-dimensional dynamics for multibody systems. It covers rotation matrices, the twist-wrench formalism for multibody dynamics and Lagrangian dynamics, an approach that is often overlooked at the undergraduate level. The only prerequisites are differential equations and linear algebra as covered in a first-year engineering mathematics course. The text focuses on obtaining and understanding the equations of motion, featuring a rich set of examples and exercises that are drawn from real-world scenarios. Readers develop a reliable physical intuition that can then be used to apply dynamic analysis software tools, and to develop simplified approximate models. With this foundation, they will be able to confidently use the equations of motion in a variety of applications, ranging from simulation and design to motion planning and control.

Introduction to Homotopy Type Theory
  • Egbert Rijke
  • Coming soon
  • Expected online publication date:
    August 2025
    Print publication:
    31 August 2025
  • This up-to-date introduction to type theory and homotopy type theory will be essential reading for advanced undergraduate and graduate students interested in the foundations and formalization of mathematics. The book begins with a thorough and self-contained introduction to dependent type theory. No prior knowledge of type theory is required. The second part gradually introduces the key concepts of homotopy type theory: equivalences, the fundamental theorem of identity types, truncation levels, and the univalence axiom. This prepares the reader to study a variety of subjects from a univalent point of view, including sets, groups, combinatorics, and well-founded trees. The final part introduces the idea of higher inductive type by discussing the circle and its universal cover. Each part is structured into bite-size chapters, each the length of a lecture, and over 200 exercises provide ample practice material.

ADE
  • Patterns in Mathematics
  • Peter J. Cameron, Pierre-Philippe Dechant, Yang-Hui He, John McKay
  • Coming soon
  • Expected online publication date:
    August 2025
    Print publication:
    31 August 2025
  • John McKay's remarkable insights unveiled a connection between the 'double covers' of the groups of regular polyhedra, known since ancient Greek times, and the exceptional Lie algebras, recognized since the late nineteenth century. The correspondence involves certain diagrams, the ADE diagrams, which can be interpreted in different ways: as quivers associated with the groups, and Dynkin diagrams of root systems of Lie algebras. The ADE diagrams arise in many areas of mathematics, including topics in relativity and string theory, spectral theory of graphs and cluster algebras. Accessible to students, this book explains these connections with exercises and examples throughout. An excellent introduction for students and researchers wishing to learn more about this unifying principle of mathematics.

Introductory Ring Theory

General Topology for Beginners
  • Jay Mehta
  • Coming soon
  • Expected online publication date:
    July 2025
    Print publication:
    31 August 2025
  • This textbook focuses on general topology. Meant for graduate and senior undergraduate mathematics students, it introduces topology thoroughly from scratch and assumes minimal basic knowledge of real analysis and metric spaces. It begins with thought-provoking questions to encourage students to learn about topology and how it is related to, yet different from, geometry. Using concepts from real analysis and metric spaces, the definition of topology is introduced along with its motivation and importance. The text covers all the topics of topology, including homeomorphism, subspace topology, weak topology, product topology, quotient topology, coproduct topology, order topology, metric topology, and topological properties such as countability axioms, separation axioms, compactness, and connectedness. It also helps to understand the significance of various topological properties in classifying topological spaces.

Financial Data Science
  • Giuseppe Calafiore, Laurent El Ghaoui, Giulia Fracastoro, Alicia Tsai
  • Coming soon
  • Expected online publication date:
    July 2025
    Print publication:
    30 June 2025
  • Confidently analyze, interpret and act on financial data with this practical introduction to the fundamentals of financial data science. Master the fundamentals with step-by-step introductions to core topics will equip you with a solid foundation for applying data science techniques to real-world complex financial problems. Extract meaningful insights as you learn how to use data to lead informed, data-driven decisions, with over 50 examples and case studies and hands-on Matlab and Python code. Explore cutting-edge techniques and tools in machine learning for financial data analysis, including deep learning and natural language processing. Accessible to readers without a specialized background in finance or machine learning, and including coverage of data representation and visualization, data models and estimation, principal component analysis, clustering methods, optimization tools, mean/variance portfolio optimization and financial networks, this is the ideal introduction for financial services professionals, and graduate students in finance and data science.

Statistical Mechanics for Physicists and Mathematicians
  • Fabien Paillusson
  • Coming soon
  • Expected online publication date:
    June 2025
    Print publication:
    30 June 2025
  • Statistical mechanics employs the power of probability theory to shine a light upon the invisible world of matter's fundamental constituents, allowing us to accurately model the macroscopic physical properties of large ensembles of microscopic particles. This book delves into the conceptual and mathematical foundations of statistical mechanics to enhance understanding of complex physical systems and thermodynamic phenomena, whilst also providing a solid mathematical basis for further study and research in this important field. Readers will embark on a journey through important historical experiments in statistical physics and thermodynamics, exploring their intersection with modern applications, such as the thermodynamics of stars and the entropy associated with the mixing of two substances. An invaluable resource for students and researchers in physics and mathematics, this text provides numerous worked examples and exercises with full solutions, reinforcing key theoretical concepts and offering readers deeper insight into how these powerful tools are applied.

The Pattern of Change
  • A Mathematical and Philosophical Study of How We See the World
  • Robert V. Moody, Ming-Dao Deng
  • Coming soon
  • Expected online publication date:
    June 2025
    Print publication:
    30 June 2025
  • One of life's most fundamental revelations is change. Presenting the fascinating view that pattern is the manifestation of change, this unique book explores the science, mathematics, and philosophy of change and the ways in which they have come to inform our understanding of the world. Through discussions on chance and determinism, symmetry and invariance, information and entropy, quantum theory and paradox, the authors trace the history of science and bridge the gaps between mathematical, physical, and philosophical perspectives. Change as a foundational concept is deeply rooted in ancient Chinese thought, and this perspective is integrated into the narrative throughout, providing philosophical counterpoints to customary Western thought. Ultimately, this is a book about ideas. Intended for a wide audience, not so much as a book of answers, but rather an introduction to new ways of viewing the world.

Aerodynamics for Engineers
  • 7th edition
  • John J. Bertin, Russell M. Cummings
  • Coming soon
  • Expected online publication date:
    June 2025
    Print publication:
    31 May 2025
  • Revised and expanded to reflect cutting-edge innovation in aerodynamics, and packed with new features to support learning, the seventh edition of this classic textbook introduces the fundamentals of aerodynamics using clear explanations and real-world examples. New features include over ten new aerodynamic analysis projects using MATLAB®, OpenVSP, and XFOIL get students up to speed on modern computational approaches; new end-of-chapter team projects to show students how to work together to solve larger, more important aerodynamic problems; new and expanded coverage of propellers, UAVs, transonic wings, wingtip devices, drones, hypersonic aircraft, and aircraft design; and new pedagogical features including look-ahead navigation, expanded use of SI units and concept boxes, and new aerodynamics computation boxes along with new case studies. Structured around clear learning objectives, this is the ideal textbook for undergraduate students in aerospace engineering, and for graduate students and professional engineers seeking a readable and accessible reference.
Article has an altmetric score of 1
Article has an altmetric score of 1

Tensor Decompositions for Data Science
  • Grey Ballard, Tamara G. Kolda
  • Coming soon
  • Expected online publication date:
    June 2025
    Print publication:
    30 June 2025
  • Tensors are essential in modern day computational and data sciences. This book explores the foundations of tensor decompositions, a data analysis methodology that is ubiquitous in machine learning, signal processing, chemometrics, neuroscience, quantum computing, financial analysis, social science, business market analysis, image processing, and much more. In this self-contained mathematical, algorithmic, and computational treatment of tensor decomposition, the book emphasizes examples using real-world downloadable open-source datasets to ground the abstract concepts. Methodologies for 3-way tensors (the simplest notation) are presented before generalizing to d-way tensors (the most general but complex notation), making the book accessible to advanced undergraduate and graduate students in mathematics, computer science, statistics, engineering, and physical and life sciences. Additionally, extensive background materials in linear algebra, optimization, probability, and statistics are included as appendices.

Polynomial Functors
  • A Mathematical Theory of Interaction
  • Nelson Niu, David I. Spivak
  • Coming soon
  • Expected online publication date:
    June 2025
    Print publication:
    31 August 2025
  • Everywhere one looks, one finds dynamic interacting systems: entities expressing and receiving signals between each other and acting and evolving accordingly over time. In this book, the authors give a new syntax for modeling such systems, describing a mathematical theory of interfaces and the way they connect. The discussion is guided by a rich mathematical structure called the category of polynomial functors. The authors synthesize current knowledge to provide a grounded introduction to the material, starting with set theory and building up to specific cases of category-theoretic concepts like limits, adjunctions, monoidal products, closures, monoids, modules, and bimodules. The text interleaves rigorous mathematical theory with concrete applications, providing detailed examples illustrated with graphical notation as well as exercises with solutions. Graduate students and scholars from a diverse array of backgrounds will appreciate this common language by which to study interactive systems categorically.

Page 1 of 11886