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Philosophy of Mathematics Classic and Contemporary Studies

Philosophy of Mathematics Classic and Contemporary Studies

The philosophy of mathematics is an exciting subject. Philosophy of Mathematics: Classic and Contemporary Studies explores the foundations of mathematical thought. The aim of this book is to encourage young mathematicians to think about the philosophical issues behind fundamental concepts and about different views on mathematical objects and mathematical knowledge. With this new approach the author rekindles an interest in philosophical subjects surrounding the foundations of mathematics. He offers the mathematical motivations behind the topics under debate. He introduces various philosophical positions ranging from the classic views to more contemporary ones including subjects which are more engaged with mathematical logic. Most books on philosophy of mathematics have little to no focus on the effects of philosophical views on mathematical practice and no concern on giving crucial mathematical results and their philosophical relevance consequences reasons etc. This book fills this gap. The book can be used as a textbook for a one-semester or even one-year course on philosophy of mathematics. Other textbooks on the philosophy of mathematics are aimed at philosophers. This book is aimed at mathematicians. Since the author is a mathematician it is a valuable addition to the literature. Mark Balaguer California State University Los Angeles There are not many such texts available for mathematics students. I applaud efforts to foster the dialogue between mathematics and philosophy. Michele Friend George Washington University and CNRS Lille France | Philosophy of Mathematics Classic and Contemporary Studies

GBP 48.99
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The Analysis of Time Series An Introduction with R

The Analysis of Time Series An Introduction with R

This new edition of this classic title now in its seventh edition presents a balanced and comprehensive introduction to the theory implementation and practice of time series analysis. The book covers a wide range of topics including ARIMA models forecasting methods spectral analysis linear systems state-space models the Kalman filters nonlinear models volatility models and multivariate models. | The Analysis of Time Series An Introduction with R

GBP 69.99
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Secret History The Story of Cryptology

Secret History The Story of Cryptology

The first edition of this award-winning book attracted a wide audience. This second edition is both a joy to read and a useful classroom tool. Unlike traditional textbooks it requires no mathematical prerequisites and can be read around the mathematics presented. If used as a textbook the mathematics can be prioritized with a book both students and instructors will enjoy reading. Secret History: The Story of Cryptology Second Edition incorporates new material concerning various eras in the long history of cryptology. Much has happened concerning the political aspects of cryptology since the first edition appeared. The still unfolding story is updated here. The first edition of this book contained chapters devoted to the cracking of German and Japanese systems during World War II. Now the other side of this cipher war is also told that is how the United States was able to come up with systems that were never broken. The text is in two parts. Part I presents classic cryptology from ancient times through World War II. Part II examines modern computer cryptology. With numerous real-world examples and extensive references the author skillfully balances the history with mathematical details providing readers with a sound foundation in this dynamic field. FEATURES Presents a chronological development of key concepts Includes the Vigenère cipher the one-time pad transposition ciphers Jefferson’s wheel cipher Playfair cipher ADFGX matrix encryption Enigma Purple and other classic methods Looks at the work of Claude Shannon the origin of the National Security Agency elliptic curve cryptography the Data Encryption Standard the Advanced Encryption Standard public-key cryptography and many other topics New chapters detail SIGABA and SIGSALY successful systems used during World War II for text and speech respectively Includes quantum cryptography and the impact of quantum computers | Secret History The Story of Cryptology

GBP 74.99
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Natural Language Processing in the Real World Text Processing Analytics and Classification

Natural Language Processing in the Real World Text Processing Analytics and Classification

Natural Language Processing in the Real World is a practical guide for applying data science and machine learning to build Natural Language Processing (NLP) solutions. Where traditional academic-taught NLP is often accompanied by a data source or dataset to aid solution building this book is situated in the real world where there may not be an existing rich dataset. This book covers the basic concepts behind NLP and text processing and discusses the applications across 15 industry verticals. From data sources and extraction to transformation and modelling and classic Machine Learning to Deep Learning and Transformers several popular applications of NLP are discussed and implemented. This book provides a hands-on and holistic guide for anyone looking to build NLP solutions from students of Computer Science to those involved in large-scale industrial projects. | Natural Language Processing in the Real World Text Processing Analytics and Classification

GBP 59.99
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Essentials of Probability Theory for Statisticians

Essentials of Probability Theory for Statisticians

Essentials of Probability Theory for Statisticians provides graduate students with a rigorous treatment of probability theory with an emphasis on results central to theoretical statistics. It presents classical probability theory motivated with illustrative examples in biostatistics such as outlier tests monitoring clinical trials and using adaptive methods to make design changes based on accumulating data. The authors explain different methods of proofs and show how they are useful for establishing classic probability results. After building a foundation in probability the text intersperses examples that make seemingly esoteric mathematical constructs more intuitive. These examples elucidate essential elements in definitions and conditions in theorems. In addition counterexamples further clarify nuances in meaning and expose common fallacies in logic. This text encourages students in statistics and biostatistics to think carefully about probability. It gives them the rigorous foundation necessary to provide valid proofs and avoid paradoxes and nonsensical conclusions.

GBP 56.99
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Handbook of Item Response Theory Three Volume Set

Handbook of Item Response Theory Three Volume Set

Drawing on the work of 75 internationally acclaimed experts in the field Handbook of Item Response Theory Three-Volume Set presents all major item response models classical and modern statistical tools used in item response theory (IRT) and major areas of applications of IRT in educational and psychological testing medical diagnosis of patient-reported outcomes and marketing research. It also covers CRAN packages WinBUGS Bilog MG Multilog Parscale IRTPRO Mplus GLLAMM Latent Gold and numerous other software tools. A full update of editor Wim J. van der Linden and Ronald K. Hambleton’s classic Handbook of Modern Item Response Theory this handbook has been expanded from 28 chapters to 85 chapters in three volumes. The three volumes are thoroughly edited and cross-referenced with uniform notation format and pedagogical principles across all chapters. Each chapter is self-contained and deals with the latest developments in IRT. | Handbook of Item Response Theory Three Volume Set

GBP 140.00
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Pocket Book of Integrals and Mathematical Formulas

Pocket Book of Integrals and Mathematical Formulas

Pocket Book of Integrals and Mathematical Formulas 5th Edition covers topics ranging from precalculus to vector analysis and from Fourier series to statistics presenting numerous worked examples to demonstrate the application of the formulas and methods. This popular pocket book is an essential source for students of calculus and higher mathematics courses. It also provides an easy-to-use accessible reference for mathematicians engineers scientists and others seeking vital mathematical formulas concepts and definitions. Enlarging the type without sacrificing special topics involving financial mathematics and number theory this 5th Edition: Includes several classic calculus applications that illustrate the power and practical use of calculus Discusses an interesting offshoot of Fermat‘s last theorem namely near misses Reformats and revises the table of integrals for improved clarity and accuracy Through careful selection of topics and detail Pocket Book of Integrals and Mathematical Formulas 5th Edition remains a portable yet comprehensive resource for students and professionals containing the most important mathematical formulas for engineering and scientific applications.

GBP 170.00
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The Elements of Advanced Mathematics

The Elements of Advanced Mathematics

This book has enjoyed considerable use and appreciation during its first four editions. With hundreds of students having learned out of early editions the author continues to find ways to modernize and maintain a unique presentation. What sets the book apart is the excellent writing style exposition and unique and thorough sets of exercises. This edition offers a more instructive preface to assist instructors on developing the course they prefer. The prerequisites are more explicit and provide a roadmap for the course. Sample syllabi are included. As would be expected in a fifth edition the overall content and structure of the book are sound. This new edition offers a more organized treatment of axiomatics. Throughout the book there is a more careful and detailed treatment of the axioms of set theory. The rules of inference are more carefully elucidated. Additional new features include: An emphasis on the art of proof. Enhanced number theory chapter presents some easily accessible but still-unsolved problems. These include the Goldbach conjecture the twin prime conjecture and so forth. The discussion of equivalence relations is revised to present reflexivity symmetry and transitivity before we define equivalence relations. The discussion of the RSA cryptosystem in Chapter 8 is expanded. The author introduces groups much earlier. Coverage of group theory formerly in Chapter 11 has been moved up; this is an incisive example of an axiomatic theory. Recognizing new ideas the author has enhanced the overall presentation to create a fifth edition of this classic and widely-used textbook. | The Elements of Advanced Mathematics

GBP 82.99
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Introduction to Real Analysis

Introduction to Real Analysis

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 presentation and accessible exposition of previous editions. A list of updates is found in the Preface to this edition. This text is based on the author’s experience in teaching graduate courses and the minimal requirements for successful graduate study. The text is understandable to the typical student enrolled in the course taking into consideration the variations in abilities background and motivation. Chapters one through six have been written to be accessible to the average student w hile at the same time challenging the more talented student through the exercises. Chapters seven through ten assume the students have achieved some level of expertise in the subject. In these chapters the theorems examples and exercises require greater sophistication and mathematical maturity for full understanding. In addition to the standard topics the text includes topics that are not always included in comparable texts. Chapter 6 contains a section on the Riemann-Stieltjes integral and a proof of Lebesgue’s t heorem providing necessary and sufficient conditions for Riemann integrability. Chapter 7 also includes a section on square summable sequences and a brief introduction to normed linear spaces. C hapter 8 contains a proof of the Weierstrass approximation theorem using the method of aapproximate identities. The inclusion of Fourier series in the text allows the student to gain some exposure to this important subject. The final chapter includes a detailed treatment of Lebesgue measure and the Lebesgue integral using inner and outer measure. The exercises at the end of each section reinforce the concepts. Notes provide historical comments or discuss additional topics. | Introduction to Real Analysis

GBP 46.99
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Introduction to Machine Learning with Applications in Information Security

Introduction to Machine Learning with Applications in Information Security

Introduction to Machine Learning with Applications in Information Security Second Edition provides a classroom-tested introduction to a wide variety of machine learning and deep learning algorithms and techniques reinforced via realistic applications. The book is accessible and doesn’t prove theorems or dwell on mathematical theory. The goal is to present topics at an intuitive level with just enough detail to clarify the underlying concepts. The book covers core classic machine learning topics in depth including Hidden Markov Models (HMM) Support Vector Machines (SVM) and clustering. Additional machine learning topics include k-Nearest Neighbor (k-NN) boosting Random Forests and Linear Discriminant Analysis (LDA). The fundamental deep learning topics of backpropagation Convolutional Neural Networks (CNN) Multilayer Perceptrons (MLP) and Recurrent Neural Networks (RNN) are covered in depth. A broad range of advanced deep learning architectures are also presented including Long Short-Term Memory (LSTM) Generative Adversarial Networks (GAN) Extreme Learning Machines (ELM) Residual Networks (ResNet) Deep Belief Networks (DBN) Bidirectional Encoder Representations from Transformers (BERT) and Word2Vec. Finally several cutting-edge deep learning topics are discussed including dropout regularization attention explainability and adversarial attacks. Most of the examples in the book are drawn from the field of information security with many of the machine learning and deep learning applications focused on malware. The applications presented serve to demystify the topics by illustrating the use of various learning techniques in straightforward scenarios. Some of the exercises in this book require programming and elementary computing concepts are assumed in a few of the application sections. However anyone with a modest amount of computing experience should have no trouble with this aspect of the book. Instructor resources including PowerPoint slides lecture videos and other relevant material are provided on an accompanying website: http://www. cs. sjsu. edu/~stamp/ML/.

GBP 62.99
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Nonparametric Statistical Inference

Nonparametric Statistical Inference

Praise for previous editions: … a classic with a long history. – Statistical Papers The fact that the first edition of this book was published in 1971 … [is] testimony to the book’s success over a long period. – ISI Short Book Reviews … one of the best books available for a theory course on nonparametric statistics. … very well written and organized … recommended for teachers and graduate students. – Biometrics … There is no competitor for this book and its comprehensive development and application of nonparametric methods. Users of one of the earlier editions should certainly consider upgrading to this new edition. – Technometrics … Useful to students and research workers … a good textbook for a beginning graduate-level course in nonparametric statistics. – Journal of the American Statistical Association Since its first publication in 1971 Nonparametric Statistical Inference has been widely regarded as the source for learning about nonparametrics. The Sixth Edition carries on this tradition and incorporates computer solutions based on R. Features Covers the most commonly used nonparametric procedures States the assumptions develops the theory behind the procedures and illustrates the techniques using realistic examples from the social behavioral and life sciences Presents tests of hypotheses confidence-interval estimation sample size determination power and comparisons of competing procedures Includes an Appendix of user-friendly tables needed for solutions to all data-oriented examples Gives examples of computer applications based on R MINITAB STATXACT and SAS Lists over 100 new references Nonparametric Statistical Inference Sixth Edition has been thoroughly revised and rewritten to make it more readable and reader-friendly. All of the R solutions are new and make this book much more useful for applications in modern times. It has been updated throughout and contains 100 new citations including some of the most recent to make it more current and useful for researchers.

GBP 99.99
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Advanced Engineering Mathematics with MATLAB

Advanced Engineering Mathematics with MATLAB

In the four previous editions the author presented a text firmly grounded in the mathematics that engineers and scientists must understand and know how to use. Tapping into decades of teaching at the US Navy Academy and the US Military Academy and serving for twenty-five years at (NASA) Goddard Space Flight he combines a teaching and practical experience that is rare among authors of advanced engineering mathematics books. This edition offers a smaller easier to read and useful version of this classic textbook. While competing textbooks continue to grow the book presents a slimmer more concise option. Instructors and students alike are rejecting the encyclopedic tome with its higher and higher price aimed at undergraduates. To assist in the choice of topics included in this new edition the author reviewed the syllabi of various engineering mathematics courses that are taught at a wide variety of schools. Due to time constraints an instructor can select perhaps three to four topics from the book the most likely being ordinary differential equations Laplace transforms Fourier series and separation of variables to solve the wave heat or Laplace's equation. Laplace transforms are occasionally replaced by linear algebra or vector calculus. Sturm-Liouville problem and special functions (Legendre and Bessel functions) are included for completeness. Topics such as z-transforms and complex variables are now offered in a companion book Advanced Engineering Mathematics: A Second Course by the same author. MATLAB is still employed to reinforce the concepts that are taught. Of course this Edition continues to offer a wealth of examples and applications from the scientific and engineering literature a highlight of previous editions. Worked solutions are given in the back of the book. | Advanced Engineering Mathematics with MATLAB

GBP 99.99
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Contemporary Abstract Algebra

Contemporary Abstract Algebra

Contemporary Abstract Algebra Tenth Edition For more than three decades this classic text has been widely appreciated by instructors and students alike. The book offers an enjoyable read and conveys and develops enthusiasm for the beauty of the topics presented. It is comprehensive lively and engaging. The author presents the concepts and methodologies of contemporary abstract algebra as used by working mathematicians computer scientists physicists and chemists. Students will learn how to do computations and to write proofs. A unique feature of the book are exercises that build the skill of generalizing a skill that students should develop but rarely do. Applications are included to illustrate the utility of the abstract concepts. Examples and exercises are the heart of the book. Examples elucidate the definitions theorems and proof techniques; exercises facilitate understanding provide insight and develop the ability to do proofs. The exercises often foreshadow definitions concepts and theorems to come. Changes for the tenth edition include new exercises new examples new quotes and a freshening of the discussion portions. The hallmark features of previous editions of the book are enhanced in this edition. These include: A good mixture of approximately 1900 computational and theoretical exercises including computer exercises that synthesize concepts from multiple chapters Approximately 300 worked-out examples from routine computations to the challenging Many applications from scientific and computing fields and everyday life Historical notes and biographies that spotlight people and events Motivational and humorous quotations Numerous connections to number theory and geometry While many partial solutions and sketches for the odd-numbered exercises appear in the book an Instructor’s Solutions Manual written by the author has comprehensive solutions for all exercises and some alternative solutions to develop a critical thought and deeper understanding. It is available from CRC Press only. The Student Solution Manual has comprehensive solutions for all odd-numbered exercises and many even-numbered exercises.

GBP 82.99
1

Applied Categorical and Count Data Analysis

Applied Categorical and Count Data Analysis

Developed from the authors’ graduate-level biostatistics course Applied Categorical and Count Data Analysis Second Edition explains how to perform the statistical analysis of discrete data including categorical and count outcomes. The authors have been teaching categorical data analysis courses at the University of Rochester and Tulane University for more than a decade. This book embodies their decade-long experience and insight in teaching and applying statistical models for categorical and count data. The authors describe the basic ideas underlying each concept model and approach to give readers a good grasp of the fundamentals of the methodology without relying on rigorous mathematical arguments. The second edition is a major revision of the first adding much new material. It covers classic concepts and popular topics such as contingency tables logistic regression models and Poisson regression models along with modern areas that include models for zero-modified count outcomes parametric and semiparametric longitudinal data analysis reliability analysis and methods for dealing with missing values. As in the first edition R SAS SPSS and Stata programming codes are provided for all the examples enabling readers to immediately experiment with the data in the examples and even adapt or extend the codes to fit data from their own studies. Designed for a one-semester course for graduate and senior undergraduate students in biostatistics this self-contained text is also suitable as a self-learning guide for biomedical and psychosocial researchers. It will help readers analyze data with discrete variables in a wide range of biomedical and psychosocial research fields. Features: Describes the basic ideas underlying each concept and model Includes R SAS SPSS and Stata programming codes for all the examples Features significantly expanded Chapters 4 5 and 8 (Chapters 4-6 and 9 in the second edition Expands discussion for subtle issues in longitudinal and clustered data analysis such as time varying covariates and comparison of generalized linear mixed-effect models with GEE

GBP 74.99
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Differential Equations Theory Technique and Practice

Differential Equations Theory Technique and Practice

Differential equations is one of the oldest subjects in modern mathematics. It was not long after Newton and Leibniz invented the calculus that Bernoulli and Euler and others began to consider the heat equation and the wave equation of mathematical physics. Newton himself solved differential equations both in the study of planetary motion and also in his consideration of optics. Today differential equations is the centerpiece of much of engineering of physics of significant parts of the life sciences and in many areas of mathematical modeling. This text describes classical ideas and provides an entree to the newer ones. The author pays careful attention to advanced topics like the Laplace transform Sturm–Liouville theory and boundary value problems (on the traditional side) but also pays due homage to nonlinear theory to modeling and to computing (on the modern side). This book began as a modernization of George Simmons’ classic Differential Equations with Applications and Historical Notes. Prof. Simmons invited the author to update his book. Now in the third edition this text has become the author’s own and a unique blend of the traditional and the modern. The text describes classical ideas and provides an entree to newer ones. Modeling brings the subject to life and makes the ideas real. Differential equations can model real life questions and computer calculations and graphics can then provide real life answers. The symbiosis of the synthetic and the calculational provides a rich experience for students and prepares them for more concrete applied work in future courses. Additional Features Anatomy of an Application sections. Historical notes continue to be a unique feature of this text. Math Nuggets are brief perspectives on mathematical lives or other features of the discipline that will enhance the reading experience. Problems for Review and Discovery give students some open-ended material for exploration and further learning. They are an important means of extending the reach of the text and for anticipating future work. This new edition is re-organized to make it more useful and more accessible. The most frequently taught topics are now up front. And the major applications are isolated in their own chapters. This makes this edition the most useable and flexible of any previous editions. | Differential Equations Theory Technique and Practice

GBP 82.99
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Nonequilibrium Statistical Mechanics An Introduction with Applications

Nonequilibrium Statistical Mechanics An Introduction with Applications

Nonequilibrium statistical mechanics (NESM) practically synonymous with time-dependent statistical mechanics (TDSM) is a beautiful and profound subject vast in scope diverse in applications and indispensable in understanding the changing natural phenomena we encounter in the physical chemical and biological world. Although time dependent phenomena have been studied from antiquity the modern subject the nonequilibrium statistical mechanics has its genesis in Boltzmann’s 1872 classic paper that aimed at extending Maxwell’s kinetic theory of gases by including intermolecular interactions. Subsequent development of the subject drew upon the seminal work of Einstein and Langevin on Brownian motion Rayleigh and Stokes on hydrodynamics and on the works of Onsager Prigogine Kramers Kubo Mori and Zwanzig. One major goal of this book is to develop and present NESM in an organized fashion so that students can appreciate and understand the flow of the subject from postulates to practical uses. This book takes the students on a journey from fundamentals to applications mostly using simple mathematics and fundamental concepts. With the advent of computers and computational packages and techniques a deep intuitive understanding can allow the students to tackle fairly complex problems like proteins in lipid membranes or solvation of ions in electrolytes used in batteries. The subject is still evolving rapidly with forays into complex biological events and materials science. Nonequilibrium Statistical Mechanics: An Introduction with Applications is thus an introductory text that aims to provide students with a background and skill essential to study and understand time-dependent (relaxation) phenomena. It will allow students to calculate transport properties like diffusion and conductivity. The book also teaches the methods to calculate reaction rate on a multi-dimensional energy surface in another such application. For a beginner in the field especially for one with an aim to study chemistry and biology and also physics one major difficulty faced is a lack of organization of the available study material. Since NESM is a vast subject with many different theoretical tools the above poses a problem. This book lays the foundations towards understanding time- dependent phenomena in a simple and systematic fashion. It is accessible to students and researchers who have basic training in physics and mathematics. The book can be used to teach advanced undergraduates. Some involved topics like the projection operator technique and mode coupling theory are more suitable for Ph. D. level. | Nonequilibrium Statistical Mechanics An Introduction with Applications

GBP 89.99
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Spatial Dynamics and Pattern Formation in Biological Populations

Spatial Dynamics and Pattern Formation in Biological Populations

The book provides an introduction to deterministic (and some stochastic) modeling of spatiotemporal phenomena in ecology epidemiology and neural systems. A survey of the classical models in the fields with up to date applications is given. The book begins with detailed description of how spatial dynamics/diffusive processes influence the dynamics of biological populations. These processes play a key role in understanding the outbreak and spread of pandemics which help us in designing the control strategies from the public health perspective. A brief discussion on the functional mechanism of the brain (single neuron models and network level) with classical models of neuronal dynamics in space and time is given. Relevant phenomena and existing modeling approaches in ecology epidemiology and neuroscience are introduced which provide examples of pattern formation in these models. The analysis of patterns enables us to study the dynamics of macroscopic and microscopic behaviour of underlying systems and travelling wave type patterns observed in dispersive systems. Moving on to virus dynamics authors present a detailed analysis of different types models of infectious diseases including two models for influenza five models for Ebola virus and seven models for Zika virus with diffusion and time delay. A Chapter is devoted for the study of Brain Dynamics (Neural systems in space and time). Significant advances made in modeling the reaction-diffusion systems are presented and spatiotemporal patterning in the systems is reviewed. Development of appropriate mathematical models and detailed analysis (such as linear stability weakly nonlinear analysis bifurcation analysis control theory numerical simulation) are presented. Key Features Covers the fundamental concepts and mathematical skills required to analyse reaction-diffusion models for biological populations. Concepts are introduced in such a way that readers with a basic knowledge of differential equations and numerical methods can understand the analysis. The results are also illustrated with figures. Focuses on mathematical modeling and numerical simulations using basic conceptual and classic models of population dynamics Virus and Brain dynamics. Covers wide range of models using spatial and non-spatial approaches. Covers single two and multispecies reaction-diffusion models from ecology and models from bio-chemistry. Models are analysed for stability of equilibrium points Turing instability Hopf bifurcation and pattern formations. Uses Mathematica for problem solving and MATLAB for pattern formations. Contains solved Examples and Problems in Exercises. The Book is suitable for advanced undergraduate graduate and research students. For those who are working in the above areas it provides information from most of the recent works. The text presents all the fundamental concepts and mathematical skills needed to build models and perform analyses. | Spatial Dynamics and Pattern Formation in Biological Populations

GBP 205.00
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