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Author: Gareth Williams
Publisher: Nelson Thornes
ISBN: 9780748752980
Category : Juvenile Nonfiction
Languages : en
Pages : 468
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Book Description
Designed to be motivating to the student, this book includes features that are suitable for individual learning. It covers the AS-Level and core topics of almost all A2 specifications. It provides many questions for students to develop their competence. It also includes sections on 'Key Skills in Biology, 'Practical Skills' and 'Study Skills'.
Author: Alan Cadogan
Publisher: Nelson Thornes
ISBN: 9780748765065
Category : Juvenile Nonfiction
Languages : en
Pages : 174
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Book Description
Written by teachers and fully covering the 2002 A Level maths specifications for biology, this text is useful for both classroom work and homework exercises. Relevant for AS and A2 Levels of study and designed to be accessible and friendly in format, its aim is to provide clear and concise explanations of mathematical concepts and how these are then applied in biology. Worked examples are included throughout encouraging students to grasp the subject matter with ease. Examination style questions and answer sections provide an opportunity for continuous progression and to consolidate learning.
Author: Raina Robeva
Publisher: Academic Press
ISBN: 0124157939
Category : Mathematics
Languages : en
Pages : 373
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Book Description
Mathematical Concepts and Methods in Modern Biology offers a quantitative framework for analyzing, predicting, and modulating the behavior of complex biological systems. The book presents important mathematical concepts, methods and tools in the context of essential questions raised in modern biology.Designed around the principles of project-based learning and problem-solving, the book considers biological topics such as neuronal networks, plant population growth, metabolic pathways, and phylogenetic tree reconstruction. The mathematical modeling tools brought to bear on these topics include Boolean and ordinary differential equations, projection matrices, agent-based modeling and several algebraic approaches. Heavy computation in some of the examples is eased by the use of freely available open-source software. - Features self-contained chapters with real biological research examples using freely available computational tools - Spans several mathematical techniques at basic to advanced levels - Offers broad perspective on the uses of algebraic geometry/polynomial algebra in molecular systems biology
Author: Gareth Williams
Publisher: Nelson Thornes
ISBN: 9780748752980
Category : Juvenile Nonfiction
Languages : en
Pages : 468
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Book Description
Designed to be motivating to the student, this book includes features that are suitable for individual learning. It covers the AS-Level and core topics of almost all A2 specifications. It provides many questions for students to develop their competence. It also includes sections on 'Key Skills in Biology, 'Practical Skills' and 'Study Skills'.
Author: Erin N. Bodine
Publisher: Princeton University Press
ISBN: 0691150729
Category : Mathematics
Languages : en
Pages : 630
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Book Description
An accessible undergraduate textbook on the essential math concepts used in the life sciences The life sciences deal with a vast array of problems at different spatial, temporal, and organizational scales. The mathematics necessary to describe, model, and analyze these problems is similarly diverse, incorporating quantitative techniques that are rarely taught in standard undergraduate courses. This textbook provides an accessible introduction to these critical mathematical concepts, linking them to biological observation and theory while also presenting the computational tools needed to address problems not readily investigated using mathematics alone. Proven in the classroom and requiring only a background in high school math, Mathematics for the Life Sciences doesn't just focus on calculus as do most other textbooks on the subject. It covers deterministic methods and those that incorporate uncertainty, problems in discrete and continuous time, probability, graphing and data analysis, matrix modeling, difference equations, differential equations, and much more. The book uses MATLAB throughout, explaining how to use it, write code, and connect models to data in examples chosen from across the life sciences. Provides undergraduate life science students with a succinct overview of major mathematical concepts that are essential for modern biology Covers all the major quantitative concepts that national reports have identified as the ideal components of an entry-level course for life science students Provides good background for the MCAT, which now includes data-based and statistical reasoning Explicitly links data and math modeling Includes end-of-chapter homework problems, end-of-unit student projects, and select answers to homework problems Uses MATLAB throughout, and MATLAB m-files with an R supplement are available online Prepares students to read with comprehension the growing quantitative literature across the life sciences A solutions manual for professors and an illustration package is available
Author: Elizabeth Spencer Allman
Publisher: Cambridge University Press
ISBN: 9780521525862
Category : Mathematics
Languages : en
Pages : 388
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Book Description
This introductory textbook on mathematical biology focuses on discrete models across a variety of biological subdisciplines. Biological topics treated include linear and non-linear models of populations, Markov models of molecular evolution, phylogenetic tree construction, genetics, and infectious disease models. The coverage of models of molecular evolution and phylogenetic tree construction from DNA sequence data is unique among books at this level. Computer investigations with MATLAB are incorporated throughout, in both exercises and more extensive projects, to give readers hands-on experience with the mathematical models developed. MATLAB programs accompany the text. Mathematical tools, such as matrix algebra, eigenvector analysis, and basic probability, are motivated by biological models and given self-contained developments, so that mathematical prerequisites are minimal.
Author: Sarah P. Otto
Publisher: Princeton University Press
ISBN: 1400840910
Category : Science
Languages : en
Pages : 745
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Book Description
Thirty years ago, biologists could get by with a rudimentary grasp of mathematics and modeling. Not so today. In seeking to answer fundamental questions about how biological systems function and change over time, the modern biologist is as likely to rely on sophisticated mathematical and computer-based models as traditional fieldwork. In this book, Sarah Otto and Troy Day provide biology students with the tools necessary to both interpret models and to build their own. The book starts at an elementary level of mathematical modeling, assuming that the reader has had high school mathematics and first-year calculus. Otto and Day then gradually build in depth and complexity, from classic models in ecology and evolution to more intricate class-structured and probabilistic models. The authors provide primers with instructive exercises to introduce readers to the more advanced subjects of linear algebra and probability theory. Through examples, they describe how models have been used to understand such topics as the spread of HIV, chaos, the age structure of a country, speciation, and extinction. Ecologists and evolutionary biologists today need enough mathematical training to be able to assess the power and limits of biological models and to develop theories and models themselves. This innovative book will be an indispensable guide to the world of mathematical models for the next generation of biologists. A how-to guide for developing new mathematical models in biology Provides step-by-step recipes for constructing and analyzing models Interesting biological applications Explores classical models in ecology and evolution Questions at the end of every chapter Primers cover important mathematical topics Exercises with answers Appendixes summarize useful rules Labs and advanced material available
Author: Ching Shan Chou
Publisher: Springer
ISBN: 3319296388
Category : Mathematics
Languages : en
Pages : 174
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Book Description
This book is based on a one semester course that the authors have been teaching for several years, and includes two sets of case studies. The first includes chemostat models, predator-prey interaction, competition among species, the spread of infectious diseases, and oscillations arising from bifurcations. In developing these topics, readers will also be introduced to the basic theory of ordinary differential equations, and how to work with MATLAB without having any prior programming experience. The second set of case studies were adapted from recent and current research papers to the level of the students. Topics have been selected based on public health interest. This includes the risk of atherosclerosis associated with high cholesterol levels, cancer and immune interactions, cancer therapy, and tuberculosis. Readers will experience how mathematical models and their numerical simulations can provide explanations that guide biological and biomedical research. Considered to be the undergraduate companion to the more advanced book "Mathematical Modeling of Biological Processes" (A. Friedman, C.-Y. Kao, Springer – 2014), this book is geared towards undergraduate students with little background in mathematics and no biological background.
Author: Karl Peter Hadeler
Publisher: Springer
ISBN: 331965621X
Category : Mathematics
Languages : en
Pages : 362
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Book Description
This book analyzes the impact of quiescent phases on biological models. Quiescence arises, for example, when moving individuals stop moving, hunting predators take a rest, infected individuals are isolated, or cells enter the quiescent compartment of the cell cycle. In the first chapter of Topics in Mathematical Biology general principles about coupled and quiescent systems are derived, including results on shrinking periodic orbits and stabilization of oscillations via quiescence. In subsequent chapters classical biological models are presented in detail and challenged by the introduction of quiescence. These models include delay equations, demographic models, age structured models, Lotka-Volterra systems, replicator systems, genetic models, game theory, Nash equilibria, evolutionary stable strategies, ecological models, epidemiological models, random walks and reaction-diffusion models. In each case we find new and interesting results such as stability of fixed points and/or periodic orbits, excitability of steady states, epidemic outbreaks, survival of the fittest, and speeds of invading fronts. The textbook is intended for graduate students and researchers in mathematical biology who have a solid background in linear algebra, differential equations and dynamical systems. Readers can find gems of unexpected beauty within these pages, and those who knew K.P. (as he was often called) well will likely feel his presence and hear him speaking to them as they read.
Author: Michael Roberts
Publisher: Nelson Thornes
ISBN: 9780174387329
Category : Education
Languages : en
Pages : 814
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Book Description
The major new course text has been written by experienced authors to provide coverage of the Advanced Subsidiary (AS) and Advanced GCE Biology and Human Biology specifications in a single book. Advanced Biology provides clear, well-illustrated information, which will help develop a full understanding of biological structure and function and of relevant applications. The topics have been carefully organised into parts, which give a logical sequence to the book. This new text has been developed to replace the best-selling titles Biology: Principles and Processes and Biology, A Functional Approach. Features include: full-colour design with clear diagrams and photographs; up-to-date information on biotechnology, health, applied genetics and ecology; clearly written text using the latest Institute of Biology terminology; a useful summary and a bank of practice questions at the end of every chapter; support boxes help bridge the gap from GCSE or equivalent courses; extension boxes providing additional depth of content - some by guest authors who are experts in their field; and a comprehensive index so you can quickly locate information with ease. There is also a website providing additional support that you can access directly at www.advancedbiolgy.co.uk.
Author: Ed Lees
Publisher: Hodder Education
ISBN: 1471829189
Category : Science
Languages : en
Pages : 434
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Book Description
Exam Board: Edexcel Level: AS/A-level Subject: Biology First Teaching: September 2015 First Exam: June 2016 Endorsed by Edexcel Supports Pearson Edexcel Level 3 Advanced GCE in Biology B (9BI0) specification Build investigative skills, test understanding and apply biological theory to topical examples with this Edexcel Year 1 Student Book - Supports all 16 required practicals with activities and questions to help students explain procedures, analyse data and evaluate results - Provides clear definitions, as well as explanations, of the meanings of all technical vocabulary needed for the new specification - Helps bring students up to speed with a summary of prior knowledge and diagnostic questions at the start of each chapter - Offers assessment guidance with Exam Practice Questions at the end of each chapter, graded by difficulty to support progression, along with Challenge Questions to stretch more able students - Mathematical skills throughout and a dedicated 'Maths in Biology' chapter explaining key concepts and methods - Develops understanding with free online access to Test yourself Answers and an Extended Glossary. Edexcel A level Biology Student Book 1 includes AS level
