Calculus and mathematical analysis Books

Based on the calculation of transition states and the identification of transition paths, this book aims to provide a comprehensive guide to understanding and simulating rare events.The author...

Charged Particle Optics Theory: An Introduction identifies the most important concepts of charged particle optics theory, and derives each mathematically from the first principles of physics...

This book surveys the broad landscape of differential equations, including elements of partial differential equations (PDEs), and concisely presents the topics of most use to engineers. It introduces...

Emphasizing fundamental mathematical ideas rather than proofs, Introduction to Stochastic Processes, Second Edition provides quick access to important foundations of probability theory applicable to...

A Bridge to Higher Mathematics is more than simply another book to aid the transition to advanced mathematics. The authors intend to assist students in developing a deeper understanding of...

This volume presents developments and advances in modelling passive and active control systems governed by partial differential equations. It emphasizes shape analysis, optimal shape design,...

This book is based on an International Conference on Trends in Theory and Practice of Nonlinear Differential Equations held at The University of Texas at Arlington. It aims to feature recent trends...

This book contains eighteen papers, all more-or-less linked to the theory of dynamical systems together with related studies of chaos and fractals. It shows many fractal configurations that were...

Computational Mathematics: Models, Methods, and Analysis with MATLAB® and MPI is a unique book covering the concepts and techniques at the core of computational science. The author delivers a...

The first two editions of An Introduction to Partial Differential Equations with MATLAB® gained popularity among instructors and students at various universities throughout the world. Plain...

Introduction to Python for Science and Engineering offers a quick and incisive introduction to the Python programming language for use in any science or engineering discipline. The approach is...

Introduction to Python for Science and Engineering offers a quick and incisive introduction to the Python programming language for use in any science or engineering discipline. The approach is...

Praise for the fourth edition:"This book is an excellent primer on probability …. The flow of the text aids its readability, and the book is indeed a treasure trove of set and solved problems...

Numerical methods are vital to the practice of chemical engineering, allowing for the solution of real-world problems. Written in a concise and practical format, this textbook introduces readers to...

This textbook is written for the first introductory course on scientific computing. It covers elementary numerical methods for linear systems, root finding, interpolation, numerical integration,...

"In my opinion, this is quite simply the best book of its kind that I have seen thus far." —Professor Peter Schiavone, University of Alberta, from the Foreword to the Fourth EditionPraise for the...

Presenting the proceedings of a recently held conference in Provo, Utah, this reference provides original research articles in several different areas of number theory, highlighting the Markoff...

Emphasizing the finite difference approach for solving differential equations, the second edition of Numerical Methods for Engineers and Scientists presents a methodology for systematically...

"In my opinion, this is quite simply the best book of its kind that I have seen thus far." —Professor Peter Schiavone, University of Alberta, from the Foreword to the Fourth EditionPraise for the...

This Research Note presents a collection of papers on emerging applications in free boundary problems. The subjects covered include microgravity, chemical and biological reactions, and...

Discovering Dynamical Systems Through Experiment and Inquiry differs from most texts on dynamical systems by blending the use of computer simulations with inquiry-based learning (IBL). IBL is an...

Higher Engineering Mathematics has helped thousands of students to succeed in their exams by developing problem-solving skills, It is supported by over 600 practical engineering examples and...

This classic textbook has been used successfully by instructors and students for nearly three decades. This timely new edition offers minimal yet notable changes while retaining all the elements,...

Now in its ninth edition, Bird’s Engineering Mathematics has helped thousands of students to succeed in their exams. Mathematical theories are explained in a straightforward manner, supported by...

Now in its ninth edition, Bird’s Engineering Mathematics has helped thousands of students to succeed in their exams. Mathematical theories are explained in a straightforward manner, supported by...

This classic textbook has been used successfully by instructors and students for nearly three decades. This timely new edition offers minimal yet notable changes while retaining all the elements,...

A First Course in Chaotic Dynamical Systems: Theory and Experiment, Second EditionThe long-anticipated revision of this well-liked textbook offers many new additions. In the twenty-five years since...

A readable introduction to the subject of calculus on arbitrary surfaces or manifolds. Accessible to readers with knowledge of basic calculus and linear algebra. Sections include series of problems...

Reading Randomness I: New Horizons for Understanding Fractal and Fractional Calculus shows readers how to understand and analyze seemingly “noisy” and irregular data. It offers practical methods for...

This book includes research studies, novel theory, as well as new methodology and applications in mathematics and management sciences. The book will provide a comprehensive range of mathematics...

This new volume shows how it is possible to further develop and essentially extend the theory of operators in infinite-dimensional vector spaces, which plays an important role in mathematics,...

Linear Operators and Their Essential Pseudospectra provides a comprehensive study of spectral theory of linear operators defined on Banach spaces. The central items of interest in the volume include...

This new edition covers a wide area from transients in power systems—including the basic theory, analytical calculations, EMTP simulations, computations by numerical electromagnetic analysis methods,...

Almost Periodic Functions and Integro-Differential-Difference Equations in Locally Convex Spaces provides a concise yet thorough exploration of almost periodic functions in locally convex spaces and...

This book is a collection of research papers on a wide variety of multigrid topics, including applications, computation and theory. It represents proceedings of the Third Copper Mountain Conference...

This book is designed as an introduction to neural dynamics through an intuitive exploration of fundamental "dynamic motifs"— the recurring dynamical concepts essential for understanding...

This book is designed as an introduction to neural dynamics through an intuitive exploration of fundamental "dynamic motifs"— the recurring dynamical concepts essential for understanding...

This monograph provides a comprehensive mathematical framework for modeling heavy metal transport in soil. Drawing on advection-diffusion equations, exponential decay models, and advanced numerical...

Fractional calculus is one of the most important divisions of theoretical and applied mathematics. This new book presents a wide variety of interesting technologies and practices used in fractional...

Convexity is an ancient idea going back to Archimedes. Used sporadically in mathematical literature over the centuries, today it is a flourishing area of research. Convexity is used in optimization...

Readers may question why non-Newtonian calculus should be used when Newtonian calculus is already available and many scientists are familiar with it. Alpha Calculus attempts to answer this question...

Kirchhoff Equations: A Variational Approach is primarily focused on recent results concerning existence, multiplicity and the asymptotic behaviour of solutions to some stationary Kirchhoff problems,...

The best way to learn the physical sciences and mathematics is to dive in and start solving problems. With this in mind, Solved Problems in Applied Mechanics of Solids offers a large number of...

This book is an ambitious but optimistic treatment of the subject of topology. Not only does Elements of Topology: Theory and Practice, Second Edition treat the standard basic material on point-set...

This book offers a rigorous, comprehensive, and modern presentation of the most traditional concepts in measure theory and integration. Building on the classical foundations, it introduces the theory...

Convexity is an ancient idea going back to Archimedes. Used sporadically in mathematical literature over the centuries, today it is a flourishing area of research. Convexity is used in optimization...

This book is based on lecture materials originally developed by Harald E. Krogstad for the MSc course Mathematical Modelling at the Norwegian University of Science and Technology (NTNU) and later...

This book is based on lecture materials originally developed by Harald E. Krogstad for the MSc course Mathematical Modelling at the Norwegian University of Science and Technology (NTNU) and later...