Books in Mathematics and applied mathematics

Handbook of MRI Pulse Sequences

2nd Edition
December 1, 2025
Xiaohong Joe Zhou + 4 more
English
Hardback
9 7 8 0 3 2 3 9 1 5 9 7 7
eBook
9 7 8 0 3 2 3 9 1 5 9 8 4

Handbook of MRI Pulse Sequences, Second Edition includes 92 self-contained sections, with each section focusing on a single subject. A new section on detailing the advanced pulse sequence techniques covers a variety of basic and advanced image reconstruction methods. The extensive topic coverage and cross-referencing makes this book ideal for beginners learning the building blocks of MRI pulse sequence design, as well as for experienced professionals who are seeking deeper knowledge of a particular technique.This book is among the most important medical imaging techniques available today. Each of these scanners is capable of running many different "pulse sequences." These sequences are governed by physics and engineering principles and implemented by software programs that control the MRI hardware.

Machine Learning Solutions for Inverse Problems: Part A

1st Edition
Volume 26
October 1, 2025
Andreas Hauptmann + 3 more
English
Hardback
9 7 8 0 4 4 3 4 1 7 8 9 4
eBook
9 7 8 0 4 4 3 4 1 7 9 0 0

Machine Learning Solutions for Inverse Problems: Part A, Volume 26 in the Handbook of Numerical Analysis, highlights new advances in the field, with this new volume presenting interesting chapters on a variety of timely topics, including Data-Driven Approaches for Generalized Lasso Problems, Implicit Regularization of the Deep Inverse Prior via (Inertial) Gradient Flow, Generalized Hardness of Approximation, Hallucinations, and Trustworthiness in Machine Learning for Inverse Problems, Energy-Based Models for Inverse Imaging Problems, Regularization Theory of Stochastic Iterative Methods for Solving Inverse Problems, and more.Other sections cover Advances in Identifying Differential Equations from Noisy Data Observations, The Complete Electrode Model for Electrical Impedance Tomography: A Comparative Study of Deep Learning and Analytical Methods, Learned Iterative Schemes: Neural Network Architectures for Operator Learning, Jacobian-Free Backpropagation for Unfolded Schemes with Convergence Guarantees, and Operator Learning Meets Inverse Problems: A Probabilistic Perspective

Recent Developments in Theory and Applications of Fractional Order Systems

1st Edition
September 1, 2025
Mehmet Yavuz + 2 more
English
Paperback
9 7 8 0 4 4 3 2 3 9 5 2 6
eBook
9 7 8 0 4 4 3 2 3 9 5 3 3

Recent Developments in Theory and Applications of Fractional Order Systems presents a rigorous and thorough analysis of various aspects of Fractional Calculus. The book provides readers with a thorough understanding of fundamental concepts and methods of applied mathematics utilized in a variety of scientific and engineering disciplines. The authors present each computational modeling concept with a definition, methods, theorems, and observations followed by typical application problems and step-by-step solutions. Each topic is covered in detail, followed typically by several meticulously worked out examples and a problem set containing many additional related problems.In addition, the book discusses recent developments and the latest research on Fractional Calculus and its applications, demonstrating important applications in Engineering, Computer Science, Management, Social Science, and the Humanities.

Methods of Mathematical Modeling

1st Edition
August 1, 2025
Hemen Dutta
English
Paperback
9 7 8 0 4 4 3 1 3 3 1 7 6
eBook
9 7 8 0 4 4 3 1 3 3 1 6 9

Methods of Mathematical Modeling: Advances and Applications delves into recent progress in this field, highlighting innovative methods and their uses in different domains. This book covers convergence analysis involving nonlinear integral equations and boundary value problems, Navier-Stokes equations in Sobolev-Gevrey spaces, magneto-hydrodynamic... of ternary nanofluids with heat transfer effects, vortex nerve complexes in video frame shape approximation, hybrid schemes for computing hyperbolic conservation laws, and solutions to new fractional differential equations. Additionally, the book examines dynamics of Leslie-Gower type predator-prey models and models for the dynamics of generic crop and water availability.Readers will find diverse approaches, techniques, and applications needed for modeling various physical and natural systems. Each chapter is self-contained, encouraging independent study and application of the modeling examples to individual research projects. This book serves as a valuable resource for researchers, students, educators, scientists, and practitioners involved in different aspects of modeling.

Quaternion Generalized Inverses

1st Edition
July 21, 2025
Ivan I. Kyrchei
English
Paperback
9 7 8 0 4 4 3 3 4 1 4 5 8
eBook
9 7 8 0 4 4 3 3 4 1 4 6 5

Quaternionic Generalized Inverses introduces and applies the theory of row-column determinants for the study of quaternion matrices, and thus empowers student and faculty research across wider areas of matrix theory, real, and complex analysis. Here, quaternion linear algebra is considered alongside core aspects of matrix theory, including the construction of an inverse matrix and Cramer's rule for constructing quaternion systems of linear equations, the core inverse, the core-EP inverse, and various composite inverses. Similarly, main frameworks of generalized inverse theory, such as the Moore-Penrose and Drazin inverse, are introduced and demonstrated across exercises in text. Inter-related concepts of differential equations, discrete analogies, advanced calculus modeling, and approximation theory highlight wider areas of applications. Problems, solutions, and chapter conclusions across the book further reinforce learning and application, and recommendations for course integration help faculty incorporate chapter material in their teaching.

Numerical Linear Algebra with Applications

2nd Edition
July 4, 2025
William Ford + 1 more
English
Paperback
9 7 8 0 4 4 3 1 3 4 7 6 0

Numerical Linear Algebra with Applications: Using MATLAB and Octave, Second Edition provides practical knowledge on modern computational techniques for the numerical solution of linear algebra problems. The book offers a unified presentation of computation, basic algorithm analysis, and numerical methods to compute solutions. Useful to readers regardless of background, the text begins with six introductory courses to provide background for those who haven’t taken applied or theoretical linear algebra. This approach offers a thorough explanation of the issues and methods for practical computing using MATLAB as the vehicle for computation.Appropri... for advanced undergraduate and early graduate courses on numerical linear algebra, this useful textbook explores numerous applications to engineering and science.

An Introduction to Discrete Mathematics

1st Edition
May 12, 2025
Vidyadhar Kulkarni
English
Paperback
9 7 8 0 4 4 3 2 4 8 4 8 1
eBook
9 7 8 0 4 4 3 2 4 8 5 0 4

An Introduction to Discrete Mathematics offers an engaging and accessible introduction to discrete mathematics for beginning undergraduate students across a wide range of application areas, from mathematics to statistics, operations research, business, engineering, and the sciences. It provides solid foundation in precise proof writing methods, with early chapters introducing set theory and logic that are followed by deductive and inductive proof techniques, number theory, counting principles, permutations and combinations, probability of events, random variables, graphs, and weighted graphs.The book illustrates fundamental concepts in discrete mathematics with clear and precise definitions that are paired with examples and counter-examples as applied in combinatorics, discrete probability, and graph theory. Chapters include student exercises to enhance learning, and a solutions manual and example questions are available for instructors on a companion website.

Post-Quantum Cryptography Algorithms and Approaches for IoT and Blockchain Security

1st Edition
Volume 138
May 2, 2025
Kavita Saini + 2 more
English
Hardback
9 7 8 0 3 2 3 9 1 4 7 8 9
eBook
9 7 8 0 3 2 3 9 1 4 7 9 6

Post-Quantum Cryptography Algorithms and Approaches for IoT and Blockchain Security, Volume 138 the latest release in the Advances in Computers series, presents detailed coverage of innovations in computer hardware, software, theory, design and applications. Chapters in this new release include Quantum-safe Cryptography Approaches and Algorithms, Quantum Computing : An introduction, BPSK-BRO Framework for avoiding side channel attacks and multiphoton attacks in Quantum Key Distribution, Post-Quantum Cryptography Algorithms and Approaches for IoT and Blockchain Security-Chapter -Delineating the Blockchain Paradigm, Post Quantum Cryptographic approach for IoT Security, and more.Other chapters cover Post-Quantum Lightweight Cryptography Algorithms and Approaches for IoT and Blockchain Security, Quantum-enabled machine learning of Random Forest and Discrete Wavelet Transform for cryptographic technique, Delineating the Blockchain Paradigm, Significance of Post Quantum Cryptosystems in Internet of Medical Things (IoMT, Blockchain-inspired Decentralized Applications and Smart Contracts, and much more.

Finite Mathematics

1st Edition
April 24, 2025
Andrew McHugh
English
Paperback
9 7 8 0 4 4 3 2 9 0 9 4 7
eBook
9 7 8 0 4 4 3 2 9 0 9 5 4

Finite Mathematics: An Introduction with Applications in Business, Social Sciences, and Music presents core concepts of finite mathematics in a clear, intuitive fashion designed to reinforce understanding. The book begins with finite mathematics foundations, with explanations and exercises on combinatorics, logic, set theory, sequences and series, functions and functional notation, elementary probability, linear programming and systems, and Markov chains. Later chapters explore and explain a range of finite mathematics applications, from game theory to voting, apportionment, finance, graph theory, and the science and physics of music.Written with an accessible, example-based approach, this book engages STEM and non-STEM students alike, preparing them for courses across a range of quantitative fields, social sciences, and the liberal arts. Problem-solving exercises are featured at the conclusion of each subsection, with corresponding answers in the appendix. The book is also accompanied by a solutions manual, sample projects assignments, tests, lecture slides, and datasets on a companion website.

Integral Manifolds for Impulsive Differential Problems with Applications

1st Edition
April 24, 2025
Ivanka Stamova + 1 more
English
Paperback
9 7 8 0 4 4 3 3 0 1 3 4 6
eBook
9 7 8 0 4 4 3 3 0 1 3 5 3

Integral Manifolds for Impulsive Differential Problems with Applications offers readers a comprehensive resource on integral manifolds for different classes of differential equations which will be of prime importance to researchers in applied mathematics, engineering, and physics. The book offers a highly application-oriented approach, reviewing the qualitative properties of integral manifolds which have significant practical applications in emerging areas such as optimal control, biology, mechanics, medicine, biotechnologies, electronics, and economics. For applied scientists, this will be an important introduction to the qualitative theory of impulsive and fractional equations which will be key in their initial steps towards adopting results and methods in their research.

Related subjects

Abstract harmonic analysis

Algebra and number theory

Algebraic geometry

Algebraic topology

Analysis

Applied mathematics

Approximations and expansions

Associative rings and algebras

Biomathematics

Calculus of variations and optimal control optimization

Category theory homological algebra

Commutative rings and algebras

Computer science

Convex sets and related geometric topics

Differential geometry

Discrete mathematics combinatorics

Field theory and polynomials

Finite differences and functional equations

Fourier analysis

Functional analysis

Functions of a complex variable

General mathematical systems

General topology

Geometry

Global analysis analysis of manifolds

Group theory and generalizations

Integral equations

Integral transforms operational calculus

Linear and multilinear algebra matrix theory

Logic

Manifolds and cell complexes

Mathematical economics and game theory

Mathematical logic and foundations

Mathematical programming

Mathematics general

Mathematics history and biography

Measure and integration

Number theory

Numerical analysis

Operator theory

Order lattices ordered algebraic structures

Ordinary differential equations

Partial differential equations

Real functions

Sequences series summability

Set theory

Several complex variables and analytic spaces

Special functions

Systems theory control

Topological groups lie groups

Life Sciences

Physical Sciences & Engineering

Social Sciences & Humanities

Health