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Books in Mathematics

The Mathematics collection presents a range of foundational and advanced research content across applied and discrete mathematics, including fields such as Computational Mathematics; Differential Equations; Linear Algebra; Modelling & Simulation; Numerical Analysis; Probability & Statistics.

BooksJournals

    • Quantum Machine Learning (QML): Platform, Tools and Applications

      • 1st Edition
      • Volume 140
      • February 1, 2026
      • English
      • Hardback
        9 7 8 0 4 4 3 2 2 3 8 2 2
      • eBook
        9 7 8 0 4 4 3 2 2 3 8 3 9
      Quantum Machine Learning (QML): Platform, Tools and Applications, Volume 140 in the Advances in Computers series, explores the intersection of quantum computing and artificial intelligence, highlighting the latest advances that promise to revolutionize computational science. This volume introduces foundational concepts in quantum computing and circuits, building toward the practical implementation of quantum machine learning (QML) algorithms. Chapters address challenges such as the gradient vanishing problem in variational quantum circuits, and explore powerful optimization methods enabled by quantum mechanics. The volume also covers advanced applications including quantum approaches to smart grid management, quantum Monte Carlo simulations, and predictive modeling in numerical solvers using quantum neural networks. Real-world relevance is underscored through discussions of transformative quantum algorithms and their potential to reshape machine learning, enabling unprecedented performance in data analysis, optimization, and beyond.

    • An Introduction to Point-Set Topology

      • 1st Edition
      • January 1, 2026
      • Shelby Kilmer
      • English
      • Paperback
        9 7 8 0 4 4 3 4 1 4 0 1 5
      • eBook
        9 7 8 0 4 4 3 4 1 4 0 2 2
      An Introduction to Point-Set Topology is intended for use in a beginning topology course for undergraduates or as an elective course for graduate students. The book’s style can be thought of as a hybrid between the Texas style (Moore method) of teaching topology and the more traditional styles. In the Texas style the students are given the definitions and the statements of the theorems and then they present their proofs to the class. This type of participation builds students’ confidence and provides them with a deeper understanding of the subject that they will retain longer. This text offers some of the theorems with their proofs and leaves others for the students to prove and present. Those theorems chosen to have their proofs presented in the text keep the course moving forward under the instructors’ guidance and increase student comprehension. An Introduction to Point-Set Topology covers a broad range of topological concepts, including but not limited to, metric spaces, topological spaces, homeomorphisms, connected sets, compact sets, product spaces, Hausdorff spaces, sequences, limits, weak topologies, the axiom of choice, Zorn’s lemma, and Nets. Incorporating both historical references and color graphics, the material keeps readers engaged. The book’s goals include increasing student participation, thus promoting a deeper knowledge through an intuitive understanding of how and why topology was developed in the way that it was. This “instructor-friendly... accessible text is also accompanied by a detailed solutions manual to support both experienced topologists and other mathematicians who would like to teach topology.

    • Functional Analysis: Theory and Applications

      • 1st Edition
      • January 1, 2026
      • Ravi P. Agarwal + 2 more
      • English
      • Paperback
        9 7 8 0 4 4 3 3 3 1 7 4 9
      • eBook
        9 7 8 0 4 4 3 3 3 1 7 5 6
      An applied understanding of functional analysis is essential for students pursuing research or careers in pure mathematics, applied mathematics, mathematical physics, and engineering, among other disciplines.Function... Analysis: Theory and Applications offers a comprehensive exploration of functional analysis. Authored by esteemed mathematicians with extensive expertise in the field, this book thoroughly introduces fundamental concepts in functional analysis, including Banach spaces, Hilbert spaces, operator theory, nonlinear analysis, linear operators, and normed spaces, and implements these in real-world problems across various scientific and engineering disciplines.The book's rigorous mathematical treatment is combined with worked examples, exercises and solutions, visual aids, application case studies, and future directions across all chapters to reinforce learning, while appendices offer supplementary materials, proofs of theorems, and tables of important results, among other resources.

    • Extended Hypergeometric Functions and Orthogonal Polynomials

      • 1st Edition
      • February 1, 2026
      • Praveen Agarwal + 1 more
      • English
      • Paperback
        9 7 8 0 4 4 3 3 6 4 8 4 6
      • eBook
        9 7 8 0 4 4 3 3 6 4 8 5 3
      Extended Hypergeometric Functions and Orthogonal Polynomials presents a comprehensive and accessible resource for researchers and graduate students interested in exploring the rich connections between extended hypergeometric functions, orthogonal polynomials, and multivariable polynomials. Integrating all three fields and their applications in Maple, Mathematica, and MATLAB, this book fosters interdisciplinary understanding and inspires new avenues of research in mathematics, engineering, physics, and computer science. It also provides a glimpse into future research directions in these areas, including potential applications in emerging fields of applied mathematics and interdisciplinary collaborations. Each chapter begins with an introduction, includes sections on theory, followed by sections on applications, and ends with exercises, problems, references and suggested readings.

    • Elementary Real Analysis

      • 1st Edition
      • February 1, 2026
      • Thomas Bieske
      • English
      • Paperback
        9 7 8 0 4 4 3 3 6 7 4 7 2
      • eBook
        9 7 8 0 4 4 3 3 6 7 4 8 9
      Elementary Real Analysis: A Practical Introduction provides a robust foundation for success in real analysis, presenting traditional material in an accessible, engaging manner with the support of clearly outlined learning objectives and exercises.Organized into three well-designed sections, the book begins with a comprehensive review of prerequisite knowledge. Section I includes chapters such as "Sets," "Mathematical Statements," and "Proof Methods", which establish the essential language and techniques of advanced mathematics. Section II explores the properties of real numbers, integers, and functions, each accompanied by a wealth of exercises that encourage exploration and practice. The final section delves into advanced topics such as sequences, continuity, and differentiation, culminating in a synthesis of concepts that prepares students for rigorous mathematical analysis.Whether used in a classroom or for self-directed learning, Elementary Real Analysis: A Practical Introduction is a vital companion for students seeking an introduction to real analysis, bridging the gap between basic principles and advanced mathematical concepts with clarity and precision.

    • An Introduction to Stochastic Modeling

      • 5th Edition
      • January 2, 2026
      • Gabriel Lord + 1 more
      • English
      • Paperback
        9 7 8 0 4 4 3 3 1 5 5 2 7
      • eBook
        9 7 8 0 4 4 3 3 1 5 5 3 4
      An Introduction to Stochastic Modeling, Fifth Edition bridges the gap between basic probability and an intermediate level course in stochastic processes, serving as the foundation for either a one-semester or two-semester course in stochastic processes for students familiar with elementary probability theory and calculus. The objectives are to introduce students to the standard concepts and methods of stochastic modeling, to illustrate the rich diversity of applications of stochastic processes in the applied sciences, and to provide an integrated treatment of theory, applications and practical implementation. A well-regarded resource for many years, the text is an ideal foundation for a broad range of students.

    • Boundary Value Problems and Partial Differential Equations

      • 7th Edition
      • February 5, 2026
      • Jonathan Mitchell + 3 more
      • English
      • Paperback
        9 7 8 0 4 4 3 2 9 8 8 2 0
      • eBook
        9 7 8 0 4 4 3 2 9 8 8 3 7
      For over fifty years, Boundary Value Problems and Partial Differential Equations, Seventh Edition has provided advanced students an accessible and practical introduction to deriving, solving, and interpreting explicit solutions involving partial differential equations with boundary and initial conditions. Fully revised and now in its Seventh Edition, this valued text aims to be comprehensive without affecting the accessibility and convenience of the original. The resource’s main tool is Fourier analysis, but the work covers other techniques, including Laplace transform, Fourier transform, numerical methods, characteristics, and separation of variables, as well, to provide well-rounded coverage. Mathematical modeling techniques are illustrated in derivations, which are widely used in engineering and science. In particular, this includes the modeling of heat distribution, a vibrating string or beam under various boundary conditions and constraints. New to this edition, the text also now uniquely discusses the beam equation. Throughout the text, examples and exercises have been included, pulled from the literature based on popular problems from engineering and science. These include some "outside-the-box" exercises at the end of each chapter, which provide challenging and thought-provoking practice that can also be used to promote classroom discussion. Chapters also include Projects, problems that synthesize or dig more deeply into the material that are slightly more involved than standard book exercises, and which are intended to support team solutions. Additional materials, exercises, animations, and more are also accessible to students via links and in-text QR codes to support practice and subject mastery.

    • Graph Theory

      • 1st Edition
      • January 1, 2026
      • Sovan Samanta
      • English
      • Paperback
        9 7 8 0 4 4 3 3 3 9 4 1 7
      • eBook
        9 7 8 0 4 4 3 3 3 9 4 2 4
      Graph theory is a rapidly evolving and expanding mathematical discipline, with new discoveries, challenges, and techniques emerging every year. Graph Theory: Fundamentals and Applications provides a fully up-to-date and accessible introduction to graph theory, covering both the classical and the modern topics, as well as algorithms and evolving challenges addressed by discipline. Based on the latest syllabi and research trends worldwide, this book includes practical, solved problems that are user friendly to undergraduate, postgraduate, and PhD students, and acts as a key aid in learning the fundamentals and the frontiers of graph theory, as well as developing independent problem-solving and critical thinking skills. This book includes clear instruction in graph representation, basic graph operations, graph connectivity, trees and forests, matching theory, planar graphs and graph drawing, algebraic graph theory, graph traversals, network flows, topological graph theory, and cryptography, among other topics. Each chapter features key term definitions, proofs and algorithms, summary points, and unique exercises to reinforce learning, as well as open problems and research challenges that present unsolved or conjectural problems in graph theory for discussion. Supporting student and instructor sites offer additional exercises, solutions, examples, and case studies in graph theory applications.

    • Eleventh Hour CISSP®

      • 4th Edition
      • January 1, 2026
      • Eric Conrad + 2 more
      • English
      • Paperback
        9 7 8 0 4 4 3 1 8 6 8 8 2
      • eBook
        9 7 8 0 4 4 3 1 8 6 8 9 9
      Eleventh Hour CISSP®: Study Guide, Fourth Edition provides a study guide keyed directly to the most current version of the CISSP exam. This streamlined book includes only core certification information, making it ideal for last-minute studying. The main objectives of the exam are covered concisely, with key concepts highlighted. The CISSP certification is the most prestigious, globally-recognized, vendor neutral exam for information security professionals. Over 100,000 professionals are certified worldwide with many more joining their ranks. All eight domains are covered completely and concisely, giving readers the best possible chance of acing the exam.This new edition is aligned to cover all of the material in the most current version of the exam’s Common Body of Knowledge.

Related subjects

Mathematics and applied mathematics

Statistics and probability