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A Transition to Proof An Introduction to Advanced Mathematics

A Transition to Proof An Introduction to Advanced Mathematics

A Transition to Proof: An Introduction to Advanced Mathematics describes writing proofs as a creative process. There is a lot that goes into creating a mathematical proof before writing it. Ample discussion of how to figure out the nuts and bolts' of the proof takes place: thought processes scratch work and ways to attack problems. Readers will learn not just how to write mathematics but also how to do mathematics. They will then learn to communicate mathematics effectively. The text emphasizes the creativity intuition and correct mathematical exposition as it prepares students for courses beyond the calculus sequence. The author urges readers to work to define their mathematical voices. This is done with style tips and strict mathematical do’s and don’ts which are presented in eye-catching text-boxes throughout the text. The end result enables readers to fully understand the fundamentals of proof. Features:The text is aimed at transition courses preparing students to take analysis Promotes creativity intuition and accuracy in expositionThe language of proof is established in the first two chapters which cover logic and set theoryIncludes chapters on cardinality and introductory topology | A Transition to Proof An Introduction to Advanced Mathematics

GBP 42.99
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Nonlinear Dynamics and Chaos With Applications to Physics Biology Chemistry and Engineering Second Edition

Nonlinear Dynamics and Chaos With Applications to Physics Biology Chemistry and Engineering Second Edition

This textbook is aimed at newcomers to nonlinear dynamics and chaos especially students taking a first course in the subject. The presentation stresses analytical methods concrete examples and geometric intuition. The theory is developed systematically starting with first-order differential equations and their bifurcations followed by phase plane analysis limit cycles and their bifurcations and culminating with the Lorenz equations chaos iterated maps period doubling renormalization fractals and strange attractors. | Nonlinear Dynamics and Chaos With Applications to Physics Biology Chemistry and Engineering Second Edition

GBP 130.00
1

Design Engineering A Manual for Enhanced Creativity

Design Engineering A Manual for Enhanced Creativity

As with any art science or discipline natural talent is only part of the equation. Consistent success stems from honing your skills cultivating good techniques and hard work. Design engineering a field often considered an intuitive process not amenable to scientific investigation is no exception. Providing descriptive theory broad context and practical examples Design Engineering: A Manual for Enhanced Creativity explores how to quantify creativity codify inspiration and document a process seemingly based solely on intuition. The authors discuss how to clarify the design task conceptualize candidate solutions and search for alternatives. They delineate how these phases fit into an industrial context including engineering product development and what to consider during design engineering to satisfy all customers. The book discusses activities and methods for performing engineering design work in a rational reviewable and documented way increasing the likelihood of finding an optimal solution. The presentation covers substantiated use of intuition and opportunism as an integral part of rational systematic and methodical designing. It examines the influence of other topics on the work such as psychology computers teamwork application of methods and education. The authors recommend that results from these less systematic activities be brought into the rational and systematic framework to document the results. Based on the authors' extensive industrial experience the book elucidates a coherent body of knowledge of design engineering. The book clearly details an easily applicable theory that not only gives you solid design tools but can also be adapted to any existing design situation. | Design Engineering A Manual for Enhanced Creativity

GBP 59.99
1

Exploring Geometry

Exploring Geometry

Exploring Geometry Second Edition promotes student engagement with the beautiful ideas of geometry. Every major concept is introduced in its historical context and connects the idea with real-life. A system of experimentation followed by rigorous explanation and proof is central. Exploratory projects play an integral role in this text. Students develop a better sense of how to prove a result and visualize connections between statements making these connections real. They develop the intuition needed to conjecture a theorem and devise a proof of what they have observed. Features:Second edition of a successful textbook for the first undergraduate courseEvery major concept is introduced in its historical context and connects the idea with real lifeFocuses on experimentationProjects help enhance student learningAll major software programs can be used; free software from author

GBP 42.99
1

Hidden Markov Models Theory and Implementation using MATLAB

Hidden Markov Models Theory and Implementation using MATLAB

This book presents in an integrated form both the analysis and synthesis of three different types of hidden Markov models. Unlike other books on the subject it is generic and does not focus on a specific theme e. g. speech processing. Moreover it presents the translation of hidden Markov models’ concepts from the domain of formal mathematics into computer codes using MATLAB®. The unique feature of this book is that the theoretical concepts are first presented using an intuition-based approach followed by the description of the fundamental algorithms behind hidden Markov models using MATLAB®. This approach by means of analysis followed by synthesis is suitable for those who want to study the subject using a more empirical approach. Key Selling Points:Presents a broad range of concepts related to Hidden Markov Models (HMM) from simple problems to advanced theoryCovers the analysis of both continuous and discrete Markov chainsDiscusses the translation of HMM concepts from the realm of formal mathematics into computer codeOffers many examples to supplement mathematical notation when explaining new concepts | Hidden Markov Models Theory and Implementation using MATLAB®

GBP 46.99
1

Monte Carlo Methods and Models in Finance and Insurance

Monte Carlo Methods and Models in Finance and Insurance

Offering a unique balance between applications and calculations Monte Carlo Methods and Models in Finance and Insurance incorporates the application background of finance and insurance with the theory and applications of Monte Carlo methods. It presents recent methods and algorithms including the multilevel Monte Carlo method the statistical Romberg method and the Heath–Platen estimator as well as recent financial and actuarial models such as the Cheyette and dynamic mortality models. The authors separately discuss Monte Carlo techniques stochastic process basics and the theoretical background and intuition behind financial and actuarial mathematics before bringing the topics together to apply the Monte Carlo methods to areas of finance and insurance. This allows for the easy identification of standard Monte Carlo tools and for a detailed focus on the main principles of financial and insurance mathematics. The book describes high-level Monte Carlo methods for standard simulation and the simulation of stochastic processes with continuous and discontinuous paths. It also covers a wide selection of popular models in finance and insurance from Black–Scholes to stochastic volatility to interest rate to dynamic mortality. Through its many numerical and graphical illustrations and simple insightful examples this book provides a deep understanding of the scope of Monte Carlo methods and their use in various financial situations. The intuitive presentation encourages readers to implement and further develop the simulation methods.

GBP 42.99
1

Fundamentals of Systems Biology From Synthetic Circuits to Whole-cell Models

Fundamentals of Systems Biology From Synthetic Circuits to Whole-cell Models

For decades biology has focused on decoding cellular processes one gene at a time but many of the most pressing biological questions as well as diseases such as cancer and heart disease are related to complex systems involving the interaction of hundreds or even thousands of gene products and other factors. How do we begin to understand this complexity? Fundamentals of Systems Biology: From Synthetic Circuits to Whole-cell Models introduces students to methods they can use to tackle complex systems head-on carefully walking them through studies that comprise the foundation and frontier of systems biology. The first section of the book focuses on bringing students quickly up to speed with a variety of modeling methods in the context of a synthetic biological circuit. This innovative approach builds intuition about the strengths and weaknesses of each method and becomes critical in the book‘s second half where much more complicated network models are addressed including transcriptional signaling metabolic and even integrated multi-network models. The approach makes the work much more accessible to novices (undergraduates medical students and biologists new to mathematical modeling) while still having much to offer experienced modelers-whether their interests are microbes organs whole organisms diseases synthetic biology or just about any field that investigates living systems. | Fundamentals of Systems Biology From Synthetic Circuits to Whole-cell Models

GBP 180.00
1

Robot Souls Programming in Humanity

Robot Souls Programming in Humanity

Two of the biggest design problems in Artificial Intelligence are how to build robots that behave in line with human values and how to stop them ever going rogue. One under-explored solution to these alignment and control problems might be to examine how these are already addressed in the design of humans. Looking closely at the human blueprint it contains a suite of capacities that are so clumsy they have generally been kept away from AI. It was assumed that robots with features like emotions and intuition that made mistakes and looked for meaning and purpose would not work as well as robots without this kind of code. But on considering why all these irrational properties are there it seems that they emerge from the source code of soul. Because it is actually this ‘junk’ code that makes us human and promotes the kind of reciprocal altruism that keeps humanity alive and thriving. Robot Souls looks at developments in AI and reviews the emergence of ideas of consciousness and the soul. It places our ‘junk code’ in this context and argues that it is time to foreground that code and to use it to look again at how we are programming AI. The book author Eve Poole received an OBE in the 2023 New Year Honours for services to education and gender equality. | Robot Souls Programming in Humanity

GBP 22.99
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