Books in Mathematics and applied mathematics

Boundary Value Problems and Partial Differential Equations

7th Edition
February 5, 2026
Jonathan Mitchell + 3 more
English

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.

Data Science and Interactive Visualization Tools for the Analysis of Qualitative Evidence

1st Edition
February 1, 2026
Manuel González Canché
English
Paperback
9 7 8 0 4 4 3 2 1 9 6 1 0
eBook
9 7 8 0 4 4 3 2 1 9 6 0 3

Data Science and Interactive Visualization Tools for the Analysis of Qualitative Evidence empowers qualitative and mixed methods researchers in the data science movement by offering no-code, cost-free software access so that they can apply cutting-edge and innovative methods to synthetize qualitative data. The book builds on the idea that qualitative and mixed methods researchers should not have to learn to code to benefit from rigorous open-source, cost-free software that uses artificial intelligence, machine learning, and data visualization tools—just as people do not need to know C++ or TypeScript to benefit from Microsoft Word. The real barrier is the hundreds of R code lines required to apply these concepts to their databases. By removing the coding proficiency hurdle, this book will empower their research endeavors and help them become active members of and contributors to the applied data science community. The book offers a comprehensive explanation of data science and machine learning methodologies, along with access to software application tools to implement these techniques without any coding proficiency. The book addresses the need for innovative tools that enable researchers to tap into the insights that come out of cutting-edge data science tools with absolutely no computer language literacy requirements.

Quantum Machine Learning (QML): Platform, Tools & Applications

1st Edition
Volume 140
February 1, 2026
Shiho Kim + 1 more
English

Extended Hypergeometric Functions and Orthogonal Polynomials

1st Edition
February 1, 2026
Praveen Agarwal + 1 more
English

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

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.

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.

Mathematics and Biomedical Engineering in Medicine, Physiology and Health Sciences

1st Edition
January 1, 2026
Dhanjoo N. Ghista + 3 more
English
Hardback
9 7 8 0 4 4 3 3 0 1 8 6 5
eBook
9 7 8 0 4 4 3 3 0 1 8 7 2

Mathematics and Biomedical Engineering in Medicine, Physiology and Health Sciences is a visionary book, whose purpose is to demonstrate how fundamental mathematics and biomedical engineering can be incorporated into physiology, medicine, and health sciences teaching, research,and clinical practice to make these disciplines more quantitative and computational, and hence more explanatory and informative. The book also provides more quantitative formulation of medical procedures, towards supporting the growing field of precision medicine.The book comprises two categories of chapters:Category 1. Mathematical Systems, from Basic Calculus to Differential Equations, and their Applications in Physiology, Medicine, and Health Sciences.Category 2. Physiological, Medical, and Health Sciences, involving Mathematical and Biomedical Engineering Formulations.In Category 2, the book has chapters in the following sections:Section 1. Glucose-Insulin Regulatory System Physiology and Diabetes DiagnosticsSection 2. Lung Ventilation Physiology and Ventilation Index for Lung disordersSection 3. Cardiovascular Physiology and MedicineSection 4. Spinal Engineering and OrthopedicsSection 5. Renal Function Analysis and DialysisSection 6. Neuronal Physiology and EngineeringSection 7. Healthcare Management and Personalized HealthcareCategory 1 chapters can enable medical students to learn how basic mathematics can be incorporated into physiology, medicine, and health sciences teaching, towards making these disciplines more quantitative and computational, and hence more explanatory and informative.Category 2 chapters can provide quantitative formulation of physiological systems, medical procedures, and health sciences towards meeting the new trend of precision medicine. Some advanced chapters can even be employed in the MD-PhD (Mathematics & Biomedical Engineering) Program.This fundamental book will thereby contribute to the transformation of medical schools, incorporating mathematics and physiology into teaching physiology, medicine, and health sciences.

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.

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.

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.

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