Muutke küpsiste eelistusi

Introduction to Contextual Maths in Chemistry [Pehme köide]

(University of Bristol, UK), (University of Bath, UK)
  • Formaat: Paperback / softback, 295 pages, kõrgus x laius: 246x189 mm, kaal: 678 g, No
  • Sari: Chemistry Student Guides Volume 2
  • Ilmumisaeg: 23-Oct-2020
  • Kirjastus: Royal Society of Chemistry
  • ISBN-10: 1788014251
  • ISBN-13: 9781788014250
  • Formaat: Paperback / softback, 295 pages, kõrgus x laius: 246x189 mm, kaal: 678 g, No
  • Sari: Chemistry Student Guides Volume 2
  • Ilmumisaeg: 23-Oct-2020
  • Kirjastus: Royal Society of Chemistry
  • ISBN-10: 1788014251
  • ISBN-13: 9781788014250
CHEMISTRY STUDENT GUIDES. GUIDED BY STUDENTS



For any student who has ever struggled with a mathematical understanding of chemistry, this book is for you.



Mathematics is the essential tool for physical scientists. We know that confidence in using mathematics early on in a chemistry degree builds a solid foundation for further study. However, applying the abstract mathematics taught in schools to chemical phenomena is one of the biggest challenges that chemistry students face.



In this book, we take a 'chemistry-first' approach. We link the mathematics to recognisable chemical concepts, building on high school chemistry, to facilitate deeper understanding. We cover the practical mathematical skills, including representation of data as tables and graphs, and give an overview of error handling in the physical sciences. More advanced mathematical concepts are introduced, using calculus to determine kinetic rate laws, intermolecular forces and in quantifying energetic change in thermodynamics. We also introduce the concept of the complex number and its role in considering quantum wave functions, widely used in computational chemistry.



There are worked examples and problem sets to provide plenty of practise material to build proficiency. We also include insights from real students, which identify common problem areas and provide the prompts that helped them to overcome these.



Chemistry Student Guides are written with current students involved at every stage, guiding the books towards the most challenging aspects of the topic.

Arvustused

The teaching of mathematics to students of chemistry has always been a difficult undertaking. Many students do not appreciate the value of mathematics in their subject and their confidence is often further undermined by textbooks which rely heavily on examples drawn from physics. Dickinson & McKinley bring a great deal of experience of chemistry teaching at degree level and their textbook is explicitly organised so that mathematical concepts are mapped directly to topics a chemistry student will find familiar. The book also places emphasis on techniques of dimensional analysis and the statistical analysis of data, which are often poorly taught to chemistry students. Overall the book fills a gap in chemical education and is highly recommended to anyone teaching physical chemistry or laboratory skills to chemistry students in higher education. * University of Newcastle * The book covers a wide range of topics, giving rounded support for the maths required for a chemistry degree. It is broken down well into manageable chunks with context laced throughout which help to add depth to the concepts being learned or revised. This is useful for people, such as myself, who learn better by applying concepts to the bigger picture. The breakdown of the vocabulary is also really useful, as lecturers often dont realise that theyre introducing a new concept, or explain it very briefly, so having a source to consolidate that and ensure Ive understood their explanation is very helpful. The increased complexity of the equations I was dealing with compared to A -Level drove consideration of units from my mind, but the way this book breaks down the section on units and gives examples would probably save me from losing easy marks in an exam. * Student - University of Bath * I found that the book teaches Maths in a way that is easily digestible to a student. There are no "big words" or fancy Maths terminology meaning that if you havent seen a certain concept before, its easy to understand what is being taught. I would definitely recommend this book to any student, whether you have studied maths previously or not, as it teaches the fundamental concepts which are used within a Chemistry degree. * Student - University of Bath *

1 The Basics: Mathematical Functions, Rearranging Equations and Handling Units
3(32)
1.1 Reversible Reactions, Reversible Mathematics
3(2)
1.2 An Introduction to Mathematical Operations
5(10)
1.3 Treating Both Sides Fairly: The Nature of Equality
15(4)
1.4 Dimensional Analysis
19(6)
1.5 Interconvertirig Units
25(2)
1.6 Summary
27(8)
2 Probability and Statistics in Chemistry
35(28)
2.1 Probability In Chemical Kinetics
36(1)
2.2 Flipping Coins, Riling Reactions
37(12)
2.3 Standard Distributions and Standard Deviations
49(9)
2.4 Summary
58(5)
3 Experimental Uncertainty and Significant
63(40)
3.1 Figures: What Are the Bounds of Experimental Error?
63(3)
3.2 Managing Significant Figures
66(8)
3.3 The Standard Error
74(3)
3.4 Combining Uncertainties
77(8)
3.5 Identifying Outliers in a Single Data Series
85(4)
3.6 Comparing Data Series-Student's t Test
89(5)
3.7 Summary
94(9)
4 Tables and Graphs -- Presenting and Analysing Experimental Data
103(28)
4.1 Recording Data
103(3)
4.2 Straight-line Graphs: `y = mx + c'
106(6)
4.3 Determining Gradients and Intercepts
112(3)
4.4 Uncertainties In Straight-line Graphs
115(3)
4.5 Plotting Experimental Data
118(3)
4.6 Summary
121(10)
5 Trigonometry and Coordinate Systems: Describing Molecular Positions
131(30)
5.1 Determination of Molecular Distances
131(11)
5.2 Molecular Geometry: Molecular Spectroscopy
142(4)
5.3 Coordinate Systems
146(8)
5.4 Summary
154(7)
6 Vectors, Directions and Crystal Structures
161(24)
6.1 A Brief Introduction to the Vector
161(2)
6.2 Two (and Higher) Dimensional Vectors
163(2)
6.3 Vector Addition, Subtraction and Scaling
165(4)
6.4 Vector Multiplication: Work Done and Torque
169(10)
6.5 Vectors In Crystallography
179(2)
6.6 Summary
181(4)
7 Calculus 1, Differentiation: Mean Speeds and Equilibrium Separations
185(38)
7.1 Rates of Change
185(10)
7.2 Differentiating Special Functions
195(3)
7.3 Finding the Maximum and the Minimum
198(5)
7.4 More Advanced Differentiation
203(7)
7.5 Partial Differentiation of Multiple Variables
210(3)
7.6 Summary
213(10)
8 Calculus 2, Integration: Reaction Kinetics and Rate Laws
223(38)
8.1 The Need for an Inverse Function
223(1)
8.2 Integration-Exploring the Harmonic Oscillator
224(6)
8.3 Chemical Kinetics-Determining the Rate Law
230(5)
8.4 Calculating Thermodynamic Work
235(10)
8.5 Integration In Context
245(9)
8.6 Summary
254(7)
9 Complex Numbers: Quantum Mechanics and Solving the Schrodinger Equation
261(27)
9.1 Complex Numbers in Chemistry
261(2)
9.2 Introduction to Complex Numbers
263(3)
9.3 Arithmetic With Complex Numbers
266(3)
9.4 Alternative Representations of Complex Numbers
269(5)
9.5 Complex Numbers and Wave Functions
274(3)
9.6 Summary
277(11)
Appendix: The Mathematical Toolkit 288(13)
Reading List 301(1)
Index 302